[0e1846] | 1 | /**************************************** |
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| 2 | * Computer Algebra System SINGULAR * |
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| 3 | ****************************************/ |
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[d86e64] | 4 | /* $Id: kstd2.cc,v 1.16 1998-04-07 17:55:10 Singular Exp $ */ |
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[0e1846] | 5 | /* |
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| 6 | * ABSTRACT - Kernel: 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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[ca7a56] | 10 | #include "tok.h" |
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[0e1846] | 11 | #include "mmemory.h" |
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| 12 | #include "polys.h" |
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| 13 | #include "ideals.h" |
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| 14 | #include "febase.h" |
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| 15 | #include "kutil.h" |
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| 16 | #include "kstd1.h" |
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| 17 | #include "kstd2.h" |
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| 18 | #include "khstd.h" |
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| 19 | #include "spolys.h" |
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| 20 | #include "cntrlc.h" |
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| 21 | #include "weight.h" |
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| 22 | #include "ipid.h" |
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| 23 | #include "ipshell.h" |
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| 24 | #include "intvec.h" |
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[64ced6] | 25 | #ifdef STDTRACE |
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| 26 | #include "comm.h" |
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| 27 | #include "lists.h" |
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| 28 | #endif |
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[51c163] | 29 | #include "spSpolyLoop.h" |
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| 30 | |
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[64ced6] | 31 | // #include "timer.h" |
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[0e1846] | 32 | |
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| 33 | /*2 |
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| 34 | * consider the part above syzComp: |
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| 35 | * (assume the polynomial comes from a syz computation) |
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| 36 | * - it is a constant term: return a copy of it |
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| 37 | * - else: return NULL |
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| 38 | */ |
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| 39 | static poly kFromInput(poly p,kStrategy strat) |
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| 40 | { |
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| 41 | poly q=p; |
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| 42 | |
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| 43 | if (pGetComp(q)>strat->syzComp) return NULL; |
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| 44 | while ((q!=NULL) && (pGetComp(q)<=strat->syzComp)) pIter(q); |
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| 45 | if (pIsConstantComp(q)) |
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| 46 | return pHead(q); |
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| 47 | return NULL; |
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| 48 | } |
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| 49 | |
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| 50 | /*2 |
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| 51 | * reduction procedure for the syz |
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| 52 | * and TEST_OPT_MINRES: special minimizing during computations |
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| 53 | * assumes homogeneous case and degree-ordering |
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| 54 | */ |
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| 55 | static void redSyz (LObject* h,kStrategy strat) |
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| 56 | { |
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| 57 | int j = 0,i=0,pos; |
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| 58 | BOOLEAN exchanged=pDivisibleBy((*h).p2,(*h).p1); |
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| 59 | poly p,q; |
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| 60 | |
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| 61 | if (exchanged) |
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| 62 | { |
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| 63 | q = kFromInput((*h).p1,strat); |
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| 64 | if (q==NULL) |
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| 65 | { |
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| 66 | exchanged = FALSE; |
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| 67 | } |
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| 68 | else |
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| 69 | { |
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| 70 | while (i<=strat->Ll) |
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| 71 | { |
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| 72 | if ((strat->L[i].p1==strat->P.p1) || (strat->L[i].p2==strat->P.p1)) |
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| 73 | { |
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| 74 | //PrintS("#"); |
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| 75 | deleteInL(strat->L,&strat->Ll,i,strat); |
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| 76 | } |
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| 77 | else |
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| 78 | i++; |
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| 79 | } |
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| 80 | i = 0; |
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| 81 | } |
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| 82 | } |
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[51c163] | 83 | #ifdef KDEBUG |
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[0e1846] | 84 | if (TEST_OPT_DEBUG) |
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| 85 | { |
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| 86 | PrintS("red:"); |
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| 87 | wrp(h->p); |
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| 88 | PrintS(" "); |
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| 89 | } |
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[51c163] | 90 | #endif |
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[0e1846] | 91 | loop |
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| 92 | { |
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[51c163] | 93 | #ifdef KDEBUG |
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[0e1846] | 94 | if (TEST_OPT_DEBUG) Print("%d",j); |
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[51c163] | 95 | #endif |
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[0e1846] | 96 | if (pDivisibleBy(strat->S[j],(*h).p)) |
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| 97 | { |
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[51c163] | 98 | #ifdef KDEBUG |
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[0e1846] | 99 | if (TEST_OPT_DEBUG) |
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| 100 | { |
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| 101 | PrintS("+\nwith "); |
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| 102 | wrp(strat->S[j]); |
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| 103 | } |
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[51c163] | 104 | #endif |
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[0e1846] | 105 | if ((!exchanged) && (pEqual((*h).p,strat->S[j]))) |
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| 106 | { |
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| 107 | //PrintS("@"); |
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| 108 | q = kFromInput(strat->S[j],strat); |
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| 109 | if (q!=NULL) |
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| 110 | { |
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| 111 | //Print("%d*",pGetComp(q)); |
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| 112 | exchanged = TRUE; |
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| 113 | p = strat->S[j]; |
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| 114 | if (!TEST_OPT_INTSTRATEGY) |
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| 115 | pNorm((*h).p); |
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| 116 | else |
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| 117 | { |
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| 118 | //pContent((*h).p); |
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| 119 | pCleardenom((*h).p);// also does a pContent |
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| 120 | } |
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| 121 | strat->S[j] = (*h).p; |
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| 122 | (*h).p = p; |
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| 123 | while ((i<=strat->tl) && (strat->T[i].p!=p)) i++; |
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| 124 | if (i<=strat->tl) strat->T[i].p = strat->S[j]; |
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| 125 | for (i=0;i<=strat->Ll;i++) |
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| 126 | { |
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| 127 | if (strat->L[i].p1==p) strat->L[i].p1=strat->S[j]; |
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| 128 | if (strat->L[i].p2==p) strat->L[i].p2=strat->S[j]; |
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| 129 | } |
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| 130 | } |
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| 131 | } |
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[c3c413] | 132 | //if (strat->interpt) test_int_std(strat->kIdeal); |
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[0e1846] | 133 | /*- compute the s-polynomial -*/ |
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[51c163] | 134 | (*h).p = spSpolyRed(strat->S[j],(*h).p,strat->kNoether, |
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| 135 | strat->spSpolyLoop); |
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[0e1846] | 136 | if ((*h).p == NULL) |
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| 137 | { |
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[51c163] | 138 | #ifdef KDEBUG |
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[0e1846] | 139 | if (TEST_OPT_DEBUG) PrintS(" to 0\n"); |
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[51c163] | 140 | #endif |
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[0e1846] | 141 | if (h->lcm!=NULL) pFree1((*h).lcm); |
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| 142 | #ifdef KDEBUG |
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| 143 | (*h).lcm=NULL; |
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| 144 | #endif |
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| 145 | return; |
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| 146 | } |
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| 147 | /*- try to reduce the s-polynomial -*/ |
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| 148 | j = 0; |
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| 149 | } |
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| 150 | else |
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| 151 | { |
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| 152 | if (j >= strat->sl) |
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| 153 | { |
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| 154 | if (exchanged) |
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| 155 | { |
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| 156 | if (pGetComp((*h).p) > strat->syzComp) |
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| 157 | { |
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| 158 | //PrintS("syz"); |
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| 159 | pDelete(&((*h).p)); |
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| 160 | return; |
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| 161 | } |
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| 162 | else |
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| 163 | { |
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| 164 | if (!TEST_OPT_INTSTRATEGY) |
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| 165 | { |
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| 166 | //PrintS("r"); |
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| 167 | pos = posInS(strat->S,strat->sl,(*h).p); |
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| 168 | pNorm((*h).p); |
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| 169 | (*h).p = redtailSyz((*h).p,pos-1,strat); |
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| 170 | } |
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| 171 | p = (*h).p; |
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| 172 | while ((pNext(p)!=NULL) && (pGetComp(pNext(p))<=strat->syzComp)) |
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| 173 | pIter(p); |
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| 174 | pDelete(&pNext(p)); |
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| 175 | pNext(p) = q; |
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| 176 | } |
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| 177 | } |
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| 178 | else if (!TEST_OPT_INTSTRATEGY) |
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| 179 | { |
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| 180 | pos = posInS(strat->S,strat->sl,(*h).p); |
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| 181 | pNorm((*h).p); |
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| 182 | (*h).p = redtailSyz((*h).p,pos-1,strat); |
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| 183 | } |
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| 184 | enterTBba((*h),strat->tl+1,strat); |
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| 185 | return; |
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| 186 | } |
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| 187 | j++; |
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| 188 | } |
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| 189 | } |
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| 190 | } |
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| 191 | |
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| 192 | /*2 |
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| 193 | * reduction procedure for the homogeneous case |
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| 194 | * and the case of a degree-ordering |
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| 195 | */ |
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| 196 | static void redHomog (LObject* h,kStrategy strat) |
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| 197 | { |
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| 198 | if (strat->tl<0) |
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| 199 | { |
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| 200 | enterTBba((*h),0,strat); |
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| 201 | return; |
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| 202 | } |
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| 203 | |
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| 204 | int j = 0; |
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| 205 | |
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[51c163] | 206 | #ifdef KDEBUG |
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[0e1846] | 207 | if (TEST_OPT_DEBUG) |
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| 208 | { |
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| 209 | PrintS("red:"); |
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| 210 | wrp(h->p); |
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| 211 | PrintS(" "); |
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| 212 | } |
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[51c163] | 213 | #endif |
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[c2b529] | 214 | if (strat->ak!=0) |
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[0e1846] | 215 | { |
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[51c163] | 216 | loop |
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[0e1846] | 217 | { |
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| 218 | #ifdef KDEBUG |
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[51c163] | 219 | if (TEST_OPT_DEBUG) Print("%d",j); |
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[0e1846] | 220 | #endif |
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[51c163] | 221 | if (pDivisibleBy1(strat->S[j],(*h).p)) |
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| 222 | { |
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| 223 | #ifdef KDEBUG |
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| 224 | if (TEST_OPT_DEBUG) |
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| 225 | { |
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| 226 | PrintS("+\nwith "); |
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| 227 | wrp(strat->S[j]); |
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| 228 | } |
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| 229 | #endif |
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| 230 | //if (strat->interpt) test_int_std(strat->kIdeal); |
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| 231 | /*- compute the s-polynomial -*/ |
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| 232 | (*h).p = spSpolyRed(strat->S[j],(*h).p,strat->kNoether, |
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| 233 | strat->spSpolyLoop); |
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| 234 | if ((*h).p == NULL) |
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| 235 | { |
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| 236 | #ifdef KDEBUG |
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| 237 | if (TEST_OPT_DEBUG) PrintS(" to 0\n"); |
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| 238 | #endif |
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| 239 | if (h->lcm!=NULL) pFree1((*h).lcm); |
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| 240 | #ifdef KDEBUG |
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| 241 | (*h).lcm=NULL; |
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| 242 | #endif |
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| 243 | return; |
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| 244 | } |
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| 245 | j = 0; |
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| 246 | } |
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| 247 | else |
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| 248 | { |
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| 249 | if (j >= strat->sl) |
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| 250 | { |
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| 251 | enterTBba((*h),strat->tl+1,strat); |
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| 252 | return; |
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| 253 | } |
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| 254 | j++; |
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| 255 | } |
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[0e1846] | 256 | } |
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[51c163] | 257 | } |
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| 258 | else |
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| 259 | { |
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| 260 | // no module component |
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| 261 | loop |
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[0e1846] | 262 | { |
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[51c163] | 263 | #ifdef KDEBUG |
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| 264 | if (TEST_OPT_DEBUG) Print("%d",j); |
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| 265 | #endif |
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| 266 | if (pDivisibleBy2(strat->S[j],(*h).p)) |
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| 267 | { |
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| 268 | #ifdef KDEBUG |
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| 269 | if (TEST_OPT_DEBUG) |
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| 270 | { |
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| 271 | PrintS("+\nwith "); |
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| 272 | wrp(strat->S[j]); |
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| 273 | } |
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| 274 | #endif |
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| 275 | //if (strat->interpt) test_int_std(strat->kIdeal); |
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| 276 | /*- compute the s-polynomial -*/ |
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| 277 | (*h).p = spSpolyRed(strat->S[j],(*h).p,strat->kNoether, |
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| 278 | strat->spSpolyLoop); |
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| 279 | if ((*h).p == NULL) |
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| 280 | { |
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| 281 | #ifdef KDEBUG |
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| 282 | if (TEST_OPT_DEBUG) PrintS(" to 0\n"); |
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| 283 | #endif |
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| 284 | if (h->lcm!=NULL) pFree1((*h).lcm); |
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| 285 | #ifdef KDEBUG |
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| 286 | (*h).lcm=NULL; |
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| 287 | #endif |
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| 288 | return; |
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| 289 | } |
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| 290 | j = 0; |
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| 291 | } |
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| 292 | else |
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| 293 | { |
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| 294 | if (j >= strat->sl) |
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| 295 | { |
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| 296 | enterTBba((*h),strat->tl+1,strat); |
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| 297 | return; |
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| 298 | } |
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| 299 | j++; |
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| 300 | } |
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[0e1846] | 301 | } |
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| 302 | } |
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| 303 | } |
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| 304 | |
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| 305 | /*2 |
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| 306 | * reduction procedure for the homogeneous case |
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| 307 | * and the case of a degree-ordering |
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| 308 | */ |
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| 309 | static void redHomog0 (LObject* h,kStrategy strat) |
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| 310 | { |
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| 311 | if (strat->tl<0) |
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| 312 | { |
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| 313 | enterTBba((*h),0,strat); |
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| 314 | return; |
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| 315 | } |
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| 316 | |
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| 317 | int j = 0; |
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| 318 | int k = 0; |
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| 319 | |
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[51c163] | 320 | #ifdef KDEBUG |
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[0e1846] | 321 | if (TEST_OPT_DEBUG) |
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| 322 | { |
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| 323 | PrintS("red:"); |
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| 324 | wrp(h->p); |
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| 325 | PrintS(" "); |
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| 326 | } |
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[51c163] | 327 | #endif |
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| 328 | if (strat->ak) |
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[0e1846] | 329 | { |
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[51c163] | 330 | loop |
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[0e1846] | 331 | { |
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| 332 | #ifdef KDEBUG |
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[51c163] | 333 | if (TEST_OPT_DEBUG) Print("%d",j); |
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[0e1846] | 334 | #endif |
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[51c163] | 335 | if (pDivisibleBy1(strat->T[j].p,(*h).p)) |
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| 336 | { |
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| 337 | //if (strat->interpt) test_int_std(strat->kIdeal); |
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| 338 | #ifdef KDEBUG |
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| 339 | if (TEST_OPT_DEBUG) |
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| 340 | { |
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| 341 | PrintS("+\nwith "); |
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| 342 | wrp(strat->S[j]); |
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| 343 | } |
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| 344 | #endif |
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| 345 | /*- compute the s-polynomial -*/ |
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| 346 | (*h).p = spSpolyRed(strat->T[j].p,(*h).p,strat->kNoether, |
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| 347 | strat->spSpolyLoop); |
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| 348 | if ((*h).p == NULL) |
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| 349 | { |
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| 350 | #ifdef KDEBUG |
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| 351 | if (TEST_OPT_DEBUG) PrintS(" to 0\n"); |
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| 352 | #endif |
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| 353 | if (h->lcm!=NULL) pFree1((*h).lcm); |
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| 354 | #ifdef KDEBUG |
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| 355 | (*h).lcm=NULL; |
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| 356 | #endif |
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| 357 | return; |
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| 358 | } |
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| 359 | j = 0; |
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| 360 | } |
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| 361 | else |
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| 362 | { |
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| 363 | if (j >= strat->tl) |
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| 364 | { |
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| 365 | //pContent((*h).p); |
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| 366 | pCleardenom((*h).p);// also does a pContent |
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[0e1846] | 367 | /* |
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[51c163] | 368 | * (*h).length=pLength0((*h).p); |
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| 369 | */ |
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| 370 | k=strat->posInT(strat->T,strat->tl,(*h)); |
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| 371 | enterTBba((*h),k,strat); |
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| 372 | return; |
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| 373 | } |
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| 374 | j++; |
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| 375 | } |
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| 376 | } |
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| 377 | } |
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| 378 | else |
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| 379 | { |
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| 380 | loop |
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[0e1846] | 381 | { |
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[c2b529] | 382 | |
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[51c163] | 383 | // no module component |
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| 384 | #ifdef KDEBUG |
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| 385 | if (TEST_OPT_DEBUG) Print("%d",j); |
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| 386 | #endif |
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| 387 | if (pDivisibleBy2(strat->T[j].p,(*h).p)) |
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| 388 | { |
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| 389 | //if (strat->interpt) test_int_std(strat->kIdeal); |
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| 390 | #ifdef KDEBUG |
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| 391 | if (TEST_OPT_DEBUG) |
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| 392 | { |
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| 393 | PrintS("+\nwith "); |
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| 394 | wrp(strat->S[j]); |
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| 395 | } |
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| 396 | #endif |
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| 397 | /*- compute the s-polynomial -*/ |
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| 398 | (*h).p = spSpolyRed(strat->T[j].p,(*h).p,strat->kNoether, |
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| 399 | strat->spSpolyLoop); |
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| 400 | if ((*h).p == NULL) |
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| 401 | { |
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| 402 | #ifdef KDEBUG |
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| 403 | if (TEST_OPT_DEBUG) PrintS(" to 0\n"); |
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| 404 | #endif |
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| 405 | if (h->lcm!=NULL) pFree1((*h).lcm); |
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| 406 | #ifdef KDEBUG |
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| 407 | (*h).lcm=NULL; |
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| 408 | #endif |
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| 409 | return; |
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| 410 | } |
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| 411 | j = 0; |
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| 412 | } |
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| 413 | else |
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| 414 | { |
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| 415 | if (j >= strat->tl) |
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| 416 | { |
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| 417 | //pContent((*h).p); |
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| 418 | pCleardenom((*h).p);// also does a pContent |
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[0e1846] | 419 | /* |
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[51c163] | 420 | * (*h).length=pLength0((*h).p); |
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| 421 | */ |
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| 422 | k=strat->posInT(strat->T,strat->tl,(*h)); |
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| 423 | enterTBba((*h),k,strat); |
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| 424 | return; |
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| 425 | } |
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| 426 | j++; |
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| 427 | } |
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[0e1846] | 428 | } |
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| 429 | } |
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| 430 | } |
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| 431 | |
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[51c163] | 432 | |
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[0e1846] | 433 | /*2 |
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| 434 | * reduction procedure for the inhomogeneous case |
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| 435 | * and not a degree-ordering |
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| 436 | */ |
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| 437 | static void redLazy (LObject* h,kStrategy strat) |
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| 438 | { |
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| 439 | if (strat->tl<0) |
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| 440 | { |
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| 441 | enterTBba((*h),0,strat); |
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| 442 | return; |
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| 443 | } |
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| 444 | |
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| 445 | int at,d,i; |
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| 446 | int j = 0; |
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| 447 | int pass = 0; |
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| 448 | int reddeg = pFDeg((*h).p); |
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| 449 | |
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[51c163] | 450 | #ifdef KDEBUG |
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[0e1846] | 451 | if (TEST_OPT_DEBUG) |
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| 452 | { |
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| 453 | PrintS("red:"); |
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| 454 | wrp(h->p); |
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| 455 | PrintS(" "); |
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| 456 | } |
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[51c163] | 457 | #endif |
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[0e1846] | 458 | loop |
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| 459 | { |
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[51c163] | 460 | if (pDivisibleBy1(strat->S[j],(*h).p)) |
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[0e1846] | 461 | { |
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[c3c413] | 462 | //if (strat->interpt) test_int_std(strat->kIdeal); |
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[51c163] | 463 | #ifdef KDEBUG |
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[0e1846] | 464 | if (TEST_OPT_DEBUG) |
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| 465 | { |
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[d894f4d] | 466 | Print("\nwith S[%d] ",j); |
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[0e1846] | 467 | wrp(strat->S[j]); |
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| 468 | } |
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[51c163] | 469 | #endif |
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[0e1846] | 470 | /*- compute the s-polynomial -*/ |
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[51c163] | 471 | (*h).p = spSpolyRed(strat->S[j],(*h).p,strat->kNoether |
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| 472 | , strat->spSpolyLoop); |
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[0e1846] | 473 | if ((*h).p == NULL) |
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| 474 | { |
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[51c163] | 475 | #ifdef KDEBUG |
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[0e1846] | 476 | if (TEST_OPT_DEBUG) PrintS(" to 0\n"); |
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[51c163] | 477 | #endif |
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[0e1846] | 478 | if (h->lcm!=NULL) pFree1((*h).lcm); |
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| 479 | #ifdef KDEBUG |
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| 480 | (*h).lcm=NULL; |
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| 481 | #endif |
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| 482 | return; |
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| 483 | } |
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[51c163] | 484 | #ifdef KDEBUG |
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[0e1846] | 485 | else if (TEST_OPT_DEBUG) |
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| 486 | { |
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| 487 | PrintS("to:"); |
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| 488 | wrp((*h).p); |
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| 489 | PrintLn(); |
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| 490 | } |
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[51c163] | 491 | #endif |
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[0e1846] | 492 | /*- try to reduce the s-polynomial -*/ |
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| 493 | pass++; |
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| 494 | d = pFDeg((*h).p); |
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| 495 | if ((strat->Ll >= 0) && ((d > reddeg) || (pass > strat->LazyPass))) |
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| 496 | { |
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| 497 | at = posInL11(strat->L,strat->Ll,*h,strat); |
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| 498 | if (at <= strat->Ll) |
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| 499 | { |
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| 500 | i=strat->sl+1; |
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| 501 | do |
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| 502 | { |
---|
| 503 | i--; |
---|
| 504 | if (i<0) |
---|
| 505 | { |
---|
| 506 | enterTBba((*h),strat->tl+1,strat); |
---|
| 507 | return; |
---|
| 508 | } |
---|
| 509 | } |
---|
[51c163] | 510 | while (!pDivisibleBy1(strat->S[i],(*h).p)); |
---|
| 511 | #ifdef KDEBUG |
---|
[0e1846] | 512 | if (TEST_OPT_DEBUG) Print(" ->L[%d]\n",at); |
---|
[51c163] | 513 | #endif |
---|
[0e1846] | 514 | enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at); |
---|
| 515 | (*h).p = NULL; |
---|
| 516 | return; |
---|
| 517 | } |
---|
| 518 | } |
---|
| 519 | else if ((TEST_OPT_PROT) && (strat->Ll < 0) && (d != reddeg)) |
---|
| 520 | { |
---|
| 521 | Print(".%d",d);mflush(); |
---|
| 522 | reddeg = d; |
---|
| 523 | } |
---|
| 524 | j = 0; |
---|
| 525 | } |
---|
| 526 | else |
---|
| 527 | { |
---|
| 528 | if (j >= strat->sl) |
---|
| 529 | { |
---|
[51c163] | 530 | #ifdef KDEBUG |
---|
[0e1846] | 531 | if (TEST_OPT_DEBUG) PrintLn(); |
---|
[51c163] | 532 | #endif |
---|
[0e1846] | 533 | if (TEST_OPT_INTSTRATEGY) |
---|
| 534 | { |
---|
| 535 | //pContent(h->p); |
---|
| 536 | pCleardenom(h->p);// also does a pContent |
---|
| 537 | } |
---|
| 538 | enterTBba((*h),strat->tl+1,strat); |
---|
| 539 | return; |
---|
| 540 | } |
---|
| 541 | j++; |
---|
| 542 | } |
---|
| 543 | } |
---|
| 544 | } |
---|
| 545 | |
---|
| 546 | /*2 |
---|
| 547 | * reduction procedure for the sugar-strategy (honey) |
---|
| 548 | * reduces h with elements from T choosing first possible |
---|
| 549 | * element in T with respect to the given ecart |
---|
| 550 | */ |
---|
| 551 | static void redHoney (LObject* h,kStrategy strat) |
---|
| 552 | { |
---|
| 553 | if (strat->tl<0) |
---|
| 554 | { |
---|
| 555 | enterTBba((*h),0,strat); |
---|
| 556 | return; |
---|
| 557 | } |
---|
| 558 | |
---|
| 559 | poly pi; |
---|
| 560 | int i,j,at,reddeg,d,pass,ei; |
---|
| 561 | |
---|
| 562 | pass = j = 0; |
---|
| 563 | d = reddeg = pFDeg((*h).p)+(*h).ecart; |
---|
[51c163] | 564 | #ifdef KDEBUG |
---|
[0e1846] | 565 | if (TEST_OPT_DEBUG) |
---|
| 566 | { |
---|
| 567 | PrintS("red:"); |
---|
| 568 | wrp((*h).p); |
---|
| 569 | } |
---|
[51c163] | 570 | #endif |
---|
[0e1846] | 571 | loop |
---|
| 572 | { |
---|
[51c163] | 573 | if (pDivisibleBy1(strat->T[j].p,(*h).p)) |
---|
[0e1846] | 574 | { |
---|
[51c163] | 575 | #ifdef KDEBUG |
---|
[d894f4d] | 576 | if (TEST_OPT_DEBUG) Print(" T[%d]",j); |
---|
[51c163] | 577 | #endif |
---|
[0e1846] | 578 | pi = strat->T[j].p; |
---|
| 579 | ei = strat->T[j].ecart; |
---|
| 580 | /* |
---|
| 581 | * the polynomial to reduce with (up to the moment) is; |
---|
| 582 | * pi with ecart ei |
---|
| 583 | */ |
---|
| 584 | i = j; |
---|
| 585 | loop |
---|
| 586 | { |
---|
| 587 | /*- takes the first possible with respect to ecart -*/ |
---|
| 588 | i++; |
---|
| 589 | if (i > strat->tl) |
---|
| 590 | break; |
---|
| 591 | if ((!BTEST1(20)) && (ei <= (*h).ecart)) |
---|
| 592 | break; |
---|
[51c163] | 593 | if ((strat->T[i].ecart < ei) && pDivisibleBy1(strat->T[i].p,(*h).p)) |
---|
[0e1846] | 594 | { |
---|
[51c163] | 595 | #ifdef KDEBUG |
---|
[d894f4d] | 596 | if (TEST_OPT_DEBUG) Print(" T[%d]",i); |
---|
[51c163] | 597 | #endif |
---|
[0e1846] | 598 | /* |
---|
| 599 | * the polynomial to reduce with is now; |
---|
| 600 | */ |
---|
| 601 | pi = strat->T[i].p; |
---|
| 602 | ei = strat->T[i].ecart; |
---|
| 603 | } |
---|
| 604 | } |
---|
| 605 | |
---|
| 606 | /* |
---|
| 607 | * end of search: have to reduce with pi |
---|
| 608 | */ |
---|
| 609 | if (ei > (*h).ecart) |
---|
| 610 | { |
---|
| 611 | /* |
---|
| 612 | * It is not possible to reduce h with smaller ecart; |
---|
| 613 | * if possible h goes to the lazy-set L,i.e |
---|
| 614 | * if its position in L would be not the last one |
---|
| 615 | */ |
---|
| 616 | if (strat->Ll >= 0) /* L is not empty */ |
---|
| 617 | { |
---|
| 618 | at = strat->posInL(strat->L,strat->Ll,*h,strat); |
---|
| 619 | if(at <= strat->Ll) |
---|
| 620 | /*- h will not become the next element to reduce -*/ |
---|
| 621 | { |
---|
| 622 | enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at); |
---|
[51c163] | 623 | #ifdef KDEBUG |
---|
[0e1846] | 624 | if (TEST_OPT_DEBUG) Print(" ecart too big: -> L%d\n",at); |
---|
[51c163] | 625 | #endif |
---|
[0e1846] | 626 | (*h).p = NULL; |
---|
| 627 | return; |
---|
| 628 | } |
---|
| 629 | } |
---|
| 630 | if (TEST_OPT_MOREPAIRS) |
---|
| 631 | { |
---|
| 632 | /*put the polynomial also in the pair set*/ |
---|
| 633 | strat->fromT = TRUE; |
---|
| 634 | if (!TEST_OPT_INTSTRATEGY) pNorm((*h).p); |
---|
| 635 | enterpairs((*h).p,strat->sl,(*h).ecart,0,strat); |
---|
| 636 | } |
---|
| 637 | } |
---|
[51c163] | 638 | #ifdef KDEBUG |
---|
[0e1846] | 639 | if (TEST_OPT_DEBUG) |
---|
| 640 | { |
---|
| 641 | PrintS("\nwith "); |
---|
| 642 | wrp(pi); |
---|
| 643 | } |
---|
[51c163] | 644 | #endif |
---|
[0e1846] | 645 | if (strat->fromT) |
---|
| 646 | { |
---|
| 647 | strat->fromT=FALSE; |
---|
[51c163] | 648 | (*h).p = spSpolyRedNew(pi,(*h).p,strat->kNoether, |
---|
| 649 | strat->spSpolyLoop); |
---|
[0e1846] | 650 | } |
---|
| 651 | else |
---|
[51c163] | 652 | (*h).p = spSpolyRed(pi,(*h).p,strat->kNoether, strat->spSpolyLoop); |
---|
| 653 | #ifdef KDEBUG |
---|
[0e1846] | 654 | if (TEST_OPT_DEBUG) |
---|
| 655 | { |
---|
| 656 | PrintS(" to "); |
---|
| 657 | wrp((*h).p); |
---|
| 658 | PrintLn(); |
---|
| 659 | } |
---|
[51c163] | 660 | #endif |
---|
[0e1846] | 661 | if ((*h).p == NULL) |
---|
| 662 | { |
---|
| 663 | if (h->lcm!=NULL) pFree1((*h).lcm); |
---|
| 664 | #ifdef KDEBUG |
---|
| 665 | (*h).lcm=NULL; |
---|
| 666 | #endif |
---|
| 667 | return; |
---|
| 668 | } |
---|
| 669 | /* compute the ecart */ |
---|
| 670 | if (ei <= (*h).ecart) |
---|
| 671 | (*h).ecart = d-pFDeg((*h).p); |
---|
| 672 | else |
---|
| 673 | (*h).ecart = d-pFDeg((*h).p)+ei-(*h).ecart; |
---|
| 674 | // if (strat->syzComp) |
---|
| 675 | // { |
---|
| 676 | // if ((strat->syzComp>0) && (pMinComp((*h).p) > strat->syzComp)) |
---|
| 677 | // { |
---|
[51c163] | 678 | #ifdef KDEBUG |
---|
[0e1846] | 679 | // if (TEST_OPT_DEBUG) |
---|
[51c163] | 680 | #endif |
---|
[0e1846] | 681 | // PrintS(" >syzComp\n"); |
---|
| 682 | // if (TEST_OPT_INTSTRATEGY) pContent(h->p); |
---|
| 683 | // at=strat->posInT(strat->T,strat->tl,(*h)); |
---|
| 684 | // enterTBba((*h),at,strat); |
---|
| 685 | // return; |
---|
| 686 | // } |
---|
| 687 | // } |
---|
| 688 | /* |
---|
| 689 | * try to reduce the s-polynomial h |
---|
| 690 | *test first whether h should go to the lazyset L |
---|
| 691 | *-if the degree jumps |
---|
| 692 | *-if the number of pre-defined reductions jumps |
---|
| 693 | */ |
---|
| 694 | pass++; |
---|
| 695 | d = pFDeg((*h).p)+(*h).ecart; |
---|
| 696 | if ((strat->Ll >= 0) && ((d > reddeg) || (pass > strat->LazyPass))) |
---|
| 697 | { |
---|
| 698 | at = strat->posInL(strat->L,strat->Ll,*h,strat); |
---|
| 699 | if (at <= strat->Ll) |
---|
| 700 | { |
---|
| 701 | /*test if h is already standardbasis element*/ |
---|
| 702 | i=strat->sl+1; |
---|
| 703 | do |
---|
| 704 | { |
---|
| 705 | i--; |
---|
| 706 | if (i<0) |
---|
| 707 | { |
---|
| 708 | at=strat->posInT(strat->T,strat->tl,(*h)); |
---|
| 709 | enterTBba((*h),at,strat); |
---|
| 710 | return; |
---|
| 711 | } |
---|
[51c163] | 712 | } while (!pDivisibleBy1(strat->S[i],(*h).p)); |
---|
[0e1846] | 713 | enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at); |
---|
[51c163] | 714 | #ifdef KDEBUG |
---|
[0e1846] | 715 | if (TEST_OPT_DEBUG) |
---|
| 716 | Print(" degree jumped: -> L%d\n",at); |
---|
[51c163] | 717 | #endif |
---|
[0e1846] | 718 | (*h).p = NULL; |
---|
| 719 | return; |
---|
| 720 | } |
---|
| 721 | } |
---|
| 722 | else if (TEST_OPT_PROT && (strat->Ll < 0) && (d > reddeg)) |
---|
| 723 | { |
---|
| 724 | reddeg = d; |
---|
| 725 | Print(".%d",d); mflush(); |
---|
| 726 | } |
---|
| 727 | j = 0; |
---|
| 728 | } |
---|
| 729 | else |
---|
| 730 | { |
---|
| 731 | if (j >= strat->tl) |
---|
| 732 | { |
---|
[51c163] | 733 | #ifdef KDEBUG |
---|
[0e1846] | 734 | if (TEST_OPT_DEBUG) PrintLn(); |
---|
[51c163] | 735 | #endif |
---|
[0e1846] | 736 | if (TEST_OPT_INTSTRATEGY) |
---|
| 737 | { |
---|
| 738 | //pContent(h->p); |
---|
| 739 | pCleardenom(h->p);// also does a pContent |
---|
| 740 | } |
---|
| 741 | at=strat->posInT(strat->T,strat->tl,(*h)); |
---|
| 742 | enterTBba((*h),at,strat); |
---|
| 743 | return; |
---|
| 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 void redBest (LObject* h,kStrategy strat) |
---|
| 755 | { |
---|
| 756 | if (strat->tl<0) |
---|
| 757 | { |
---|
| 758 | enterTBba((*h),0,strat); |
---|
| 759 | return; |
---|
| 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)+(*h).ecart; |
---|
| 768 | else |
---|
| 769 | reddeg = pFDeg((*h).p); |
---|
| 770 | loop |
---|
| 771 | { |
---|
| 772 | if (pDivisibleBy(strat->T[j].p,(*h).p)) |
---|
| 773 | { |
---|
[c3c413] | 774 | //if (strat->interpt) test_int_std(strat->kIdeal); |
---|
[0e1846] | 775 | /* compute the s-polynomial */ |
---|
| 776 | if (!TEST_OPT_INTSTRATEGY) pNorm((*h).p); |
---|
| 777 | #ifdef SDRING |
---|
| 778 | // spSpolyShortBba will not work in the SRING case |
---|
| 779 | if (pSDRING) |
---|
| 780 | { |
---|
| 781 | p=spSpolyCreate(strat->T[j].p,(*h).p,strat->kNoether); |
---|
| 782 | if (p!=NULL) pDelete(&pNext(p)); |
---|
| 783 | } |
---|
| 784 | else |
---|
| 785 | #endif |
---|
| 786 | p = spSpolyShortBba(strat->T[j].p,(*h).p); |
---|
| 787 | /* computes only the first monomial of the spoly */ |
---|
| 788 | if (p) |
---|
| 789 | { |
---|
| 790 | jbest = j; |
---|
| 791 | /* looking for the best possible reduction */ |
---|
| 792 | if ((strat->syzComp==0) || (pMinComp(p) <= strat->syzComp)) |
---|
| 793 | { |
---|
| 794 | loop |
---|
| 795 | { |
---|
| 796 | j++; |
---|
| 797 | if (j > strat->tl) |
---|
| 798 | break; |
---|
| 799 | if (pDivisibleBy(strat->T[j].p,(*h).p)) |
---|
| 800 | { |
---|
| 801 | #ifdef SDRING |
---|
| 802 | // spSpolyShortBba will not work in the SRING case |
---|
| 803 | if (pSDRING) |
---|
| 804 | { |
---|
| 805 | ph=spSpolyCreate(strat->T[j].p,(*h).p,strat->kNoether); |
---|
| 806 | if (ph!=NULL) pDelete(&pNext(ph)); |
---|
| 807 | } |
---|
| 808 | else |
---|
| 809 | #endif |
---|
| 810 | ph = spSpolyShortBba(strat->T[j].p,(*h).p); |
---|
| 811 | if (ph==NULL) |
---|
| 812 | { |
---|
| 813 | pFree1(p); |
---|
| 814 | pDelete(&((*h).p)); |
---|
| 815 | if (h->lcm!=NULL) pFree1((*h).lcm); |
---|
| 816 | #ifdef KDEBUG |
---|
| 817 | (*h).lcm=NULL; |
---|
| 818 | #endif |
---|
| 819 | return; |
---|
| 820 | } |
---|
| 821 | else if (pComp0(ph,p) == -1) |
---|
| 822 | { |
---|
| 823 | pFree1(p); |
---|
| 824 | p = ph; |
---|
| 825 | jbest = j; |
---|
| 826 | } |
---|
| 827 | else |
---|
| 828 | { |
---|
| 829 | pFree1(ph); |
---|
| 830 | } |
---|
| 831 | } |
---|
| 832 | } |
---|
| 833 | } |
---|
| 834 | pFree1(p); |
---|
[51c163] | 835 | (*h).p = spSpolyRed(strat->T[jbest].p,(*h).p,strat->kNoether, |
---|
| 836 | strat->spSpolyLoop); |
---|
[0e1846] | 837 | } |
---|
| 838 | else |
---|
| 839 | { |
---|
| 840 | if (h->lcm!=NULL) pFree1((*h).lcm); |
---|
| 841 | #ifdef KDEBUG |
---|
| 842 | (*h).lcm=NULL; |
---|
| 843 | #endif |
---|
| 844 | (*h).p = NULL; |
---|
| 845 | return; |
---|
| 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 | // { |
---|
[51c163] | 855 | #ifdef KDEBUG |
---|
[0e1846] | 856 | // if (TEST_OPT_DEBUG) |
---|
[51c163] | 857 | #endif |
---|
[0e1846] | 858 | // PrintS(" >syzComp\n"); |
---|
| 859 | // if (TEST_OPT_INTSTRATEGY) pContent(h->p); |
---|
| 860 | // at=strat->posInT(strat->T,strat->tl,(*h)); |
---|
| 861 | // enterTBba((*h),at,strat); |
---|
| 862 | // return; |
---|
| 863 | // } |
---|
| 864 | // } |
---|
| 865 | if (strat->honey || pLexOrder) |
---|
| 866 | { |
---|
| 867 | pass++; |
---|
| 868 | d = pFDeg((*h).p); |
---|
| 869 | if (strat->honey) |
---|
| 870 | d += (*h).ecart; |
---|
| 871 | if ((strat->Ll >= 0) && ((pass > strat->LazyPass) || (d > reddeg))) |
---|
| 872 | { |
---|
| 873 | at = strat->posInL(strat->L,strat->Ll,*h,strat); |
---|
| 874 | if (at <= strat->Ll) |
---|
| 875 | { |
---|
| 876 | enterL(&strat->L,&strat->Ll,&strat->Lmax,*h,at); |
---|
| 877 | (*h).p = NULL; |
---|
| 878 | return; |
---|
| 879 | } |
---|
| 880 | } |
---|
| 881 | else if (TEST_OPT_PROT && (strat->Ll < 0) && (d != reddeg)) |
---|
| 882 | { |
---|
| 883 | reddeg = d; |
---|
| 884 | Print("%d."); |
---|
| 885 | mflush(); |
---|
| 886 | } |
---|
| 887 | } |
---|
| 888 | j = 0; |
---|
| 889 | } |
---|
| 890 | else |
---|
| 891 | { |
---|
| 892 | if (j >= strat->tl) |
---|
| 893 | { |
---|
| 894 | if (TEST_OPT_INTSTRATEGY) |
---|
| 895 | { |
---|
| 896 | //pContent(h->p); |
---|
| 897 | pCleardenom(h->p);// also does a pContent |
---|
| 898 | } |
---|
| 899 | at=strat->posInT(strat->T,strat->tl,(*h)); |
---|
| 900 | enterTBba((*h),at,strat); |
---|
| 901 | return; |
---|
| 902 | } |
---|
| 903 | j++; |
---|
| 904 | } |
---|
| 905 | } |
---|
| 906 | } |
---|
| 907 | |
---|
| 908 | /*2 |
---|
| 909 | * reduction procedure for the normal form |
---|
| 910 | */ |
---|
| 911 | |
---|
| 912 | static poly redNF (poly h,kStrategy strat) |
---|
| 913 | { |
---|
| 914 | int j = 0; |
---|
| 915 | int z = 3; |
---|
| 916 | |
---|
[51c163] | 917 | #ifdef KDEBUG |
---|
[0e1846] | 918 | if (TEST_OPT_DEBUG) |
---|
| 919 | { |
---|
| 920 | PrintS("red:");wrp(h); |
---|
| 921 | } |
---|
[51c163] | 922 | #endif |
---|
[0e1846] | 923 | if (0 > strat->tl) |
---|
| 924 | { |
---|
[51c163] | 925 | #ifdef KDEBUG |
---|
[0e1846] | 926 | if (TEST_OPT_DEBUG) PrintLn(); |
---|
[51c163] | 927 | #endif |
---|
[0e1846] | 928 | return h; |
---|
| 929 | } |
---|
| 930 | loop |
---|
| 931 | { |
---|
[51c163] | 932 | if (pDivisibleBy1(strat->S[j],h)) |
---|
[0e1846] | 933 | { |
---|
[c3c413] | 934 | //if (strat->interpt) test_int_std(strat->kIdeal); |
---|
[0e1846] | 935 | /*- compute the s-polynomial -*/ |
---|
[51c163] | 936 | #ifdef KDEBUG |
---|
[0e1846] | 937 | if (TEST_OPT_DEBUG) |
---|
| 938 | { |
---|
| 939 | Print("\nwith S[%d]:",j);wrp(strat->S[j]); |
---|
| 940 | } |
---|
[51c163] | 941 | #endif |
---|
| 942 | h = spSpolyRed(strat->S[j],h,strat->kNoether, strat->spSpolyLoop); |
---|
| 943 | #ifdef KDEBUG |
---|
[0e1846] | 944 | if (TEST_OPT_DEBUG) |
---|
| 945 | { |
---|
| 946 | PrintS("\nto:"); |
---|
| 947 | wrp(h); |
---|
| 948 | if (h==NULL) PrintLn(); |
---|
| 949 | } |
---|
[51c163] | 950 | #endif |
---|
[0e1846] | 951 | if (h == NULL) return NULL; |
---|
| 952 | z++; |
---|
| 953 | if (z>=10) |
---|
| 954 | { |
---|
| 955 | z=0; |
---|
| 956 | pNormalize(h); |
---|
| 957 | } |
---|
| 958 | /*- try to reduce the s-polynomial -*/ |
---|
| 959 | j = 0; |
---|
| 960 | } |
---|
| 961 | else |
---|
| 962 | { |
---|
| 963 | if (j >= strat->sl) return h; |
---|
| 964 | j++; |
---|
| 965 | } |
---|
| 966 | } |
---|
| 967 | } |
---|
| 968 | |
---|
| 969 | void initBba(ideal F,kStrategy strat) |
---|
| 970 | { |
---|
| 971 | int i; |
---|
| 972 | idhdl h; |
---|
| 973 | /* setting global variables ------------------- */ |
---|
| 974 | strat->enterS = enterSBba; |
---|
| 975 | if ((BTEST1(20)) && (!strat->honey)) |
---|
| 976 | strat->red = redBest; |
---|
| 977 | else if (strat->honey) |
---|
| 978 | strat->red = redHoney; |
---|
| 979 | else if (pLexOrder && !strat->homog) |
---|
| 980 | strat->red = redLazy; |
---|
| 981 | else if (TEST_OPT_INTSTRATEGY && strat->homog) |
---|
| 982 | strat->red = redHomog0; |
---|
| 983 | else |
---|
| 984 | strat->red = redHomog; |
---|
| 985 | if (TEST_OPT_MINRES && strat->homog && (strat->syzComp >0)) |
---|
| 986 | strat->red = redSyz; |
---|
| 987 | |
---|
| 988 | if (pLexOrder && strat->honey) |
---|
| 989 | strat->initEcart = initEcartNormal; |
---|
| 990 | else |
---|
| 991 | strat->initEcart = initEcartBBA; |
---|
| 992 | if (strat->honey) |
---|
| 993 | strat->initEcartPair = initEcartPairMora; |
---|
| 994 | else |
---|
| 995 | strat->initEcartPair = initEcartPairBba; |
---|
| 996 | strat->kIdeal = NULL; |
---|
| 997 | //if (strat->ak==0) strat->kIdeal->rtyp=IDEAL_CMD; |
---|
| 998 | //else strat->kIdeal->rtyp=MODUL_CMD; |
---|
| 999 | //strat->kIdeal->data=(void *)strat->Shdl; |
---|
| 1000 | if ((TEST_OPT_WEIGHTM)&&(F!=NULL)) |
---|
| 1001 | { |
---|
| 1002 | //interred machen Aenderung |
---|
| 1003 | pFDegOld=pFDeg; |
---|
| 1004 | pLDegOld=pLDeg; |
---|
| 1005 | h=ggetid("ecart"); |
---|
| 1006 | if ((h!=NULL) && (IDTYP(h)==INTVEC_CMD)) |
---|
| 1007 | { |
---|
| 1008 | ecartWeights=iv2array(IDINTVEC(h)); |
---|
| 1009 | } |
---|
| 1010 | else |
---|
| 1011 | { |
---|
| 1012 | ecartWeights=(short *)Alloc((pVariables+1)*sizeof(short)); |
---|
| 1013 | /*uses automatic computation of the ecartWeights to set them*/ |
---|
| 1014 | kEcartWeights(F->m,IDELEMS(F)-1,ecartWeights); |
---|
| 1015 | } |
---|
| 1016 | pFDeg=totaldegreeWecart; |
---|
| 1017 | pLDeg=maxdegreeWecart; |
---|
| 1018 | for(i=1; i<=pVariables; i++) |
---|
| 1019 | Print(" %d",ecartWeights[i]); |
---|
| 1020 | PrintLn(); |
---|
| 1021 | mflush(); |
---|
| 1022 | } |
---|
| 1023 | } |
---|
| 1024 | |
---|
[64ced6] | 1025 | #ifdef STDTRACE |
---|
| 1026 | lists bbaLink (ideal F, ideal Q,intvec *w,intvec *hilb,kStrategy strat, stdLink stdTrace) |
---|
| 1027 | { |
---|
| 1028 | int oldLl; |
---|
| 1029 | int srmax,lrmax; |
---|
| 1030 | int olddeg,reduc; |
---|
| 1031 | int anzTupel=0, anzNew = 0, anzSkipped=0; |
---|
| 1032 | #ifdef SDRING |
---|
| 1033 | polyset aug=(polyset)Alloc(setmax*sizeof(poly)); |
---|
| 1034 | int augmax=setmax, augl=-1; |
---|
| 1035 | poly oldLcm=NULL; |
---|
| 1036 | #endif |
---|
| 1037 | int hilbeledeg=1,hilbcount=0,minimcnt=0; |
---|
| 1038 | |
---|
| 1039 | if(stdTrace!=NULL) stdTrace->Start(strat); |
---|
| 1040 | |
---|
| 1041 | initBuchMoraCrit(strat); /*set Gebauer, honey, sugarCrit*/ |
---|
| 1042 | initHilbCrit(F,Q,&hilb,strat); |
---|
| 1043 | initBba(F,strat); |
---|
| 1044 | initBuchMoraPos(strat); |
---|
| 1045 | /*set enterS, spSpolyShort, reduce, red, initEcart, initEcartPair*/ |
---|
| 1046 | /*Shdl=*/initBuchMora(F, Q,strat); |
---|
| 1047 | if (strat->minim>0) |
---|
| 1048 | { |
---|
| 1049 | strat->M=idInit(IDELEMS(F),F->rank); |
---|
| 1050 | } |
---|
| 1051 | srmax = strat->sl; |
---|
| 1052 | reduc = olddeg = lrmax = 0; |
---|
| 1053 | /* compute------------------------------------------------------- */ |
---|
| 1054 | while ((stdTrace!=NULL && !stdTrace->CheckEnd(strat)) || (stdTrace == NULL && strat->Ll>=0)) |
---|
| 1055 | { |
---|
| 1056 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
---|
| 1057 | if(stdTrace!=NULL && stdTrace->Receive) |
---|
| 1058 | { |
---|
| 1059 | stdTrace->ReceiveMsg(); |
---|
| 1060 | stdTrace->ParseMessage(strat); |
---|
| 1061 | } |
---|
| 1062 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
---|
| 1063 | if((stdTrace!=NULL && stdTrace->Verwaltung) || (stdTrace == NULL)) |
---|
| 1064 | { |
---|
| 1065 | if (strat->Ll > lrmax) lrmax =strat->Ll;/*stat.*/ |
---|
[51c163] | 1066 | #ifdef KDEBUG |
---|
[64ced6] | 1067 | if (TEST_OPT_DEBUG) messageSets(strat); |
---|
[51c163] | 1068 | #endif |
---|
[64ced6] | 1069 | //test_int_std(strat->kIdeal); |
---|
| 1070 | if (strat->Ll== 0) strat->interpt=TRUE; |
---|
| 1071 | if (TEST_OPT_DEGBOUND |
---|
| 1072 | && ((strat->honey && (strat->L[strat->Ll].ecart+pFDeg(strat->L[strat->Ll].p)>Kstd1_deg)) |
---|
| 1073 | || ((!strat->honey) && (pFDeg(strat->L[strat->Ll].p)>Kstd1_deg)))) |
---|
| 1074 | { |
---|
| 1075 | /* |
---|
| 1076 | *stops computation if |
---|
| 1077 | * 24 IN test and the degree +ecart of L[strat->Ll] is bigger then |
---|
| 1078 | *a predefined number Kstd1_deg |
---|
| 1079 | */ |
---|
| 1080 | while (strat->Ll >= 0) deleteInL(strat->L,&strat->Ll,strat->Ll,strat); |
---|
| 1081 | break; |
---|
| 1082 | } |
---|
| 1083 | } |
---|
| 1084 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
---|
| 1085 | if((stdTrace!=NULL && stdTrace->TupelL) || (stdTrace == NULL )) |
---|
| 1086 | { |
---|
| 1087 | /* picks the last element from the lazyset L */ |
---|
| 1088 | strat->P = strat->L[strat->Ll]; |
---|
| 1089 | anzTupel++; |
---|
| 1090 | strat->Ll--; |
---|
| 1091 | if(stdTrace!=NULL && stdTrace->TupelStore) |
---|
| 1092 | { |
---|
| 1093 | if (TEST_OPT_PROT) PrintS(":"); |
---|
| 1094 | stdTrace->Store(strat->P); |
---|
| 1095 | strat->P.p=NULL; |
---|
| 1096 | anzSkipped++; |
---|
| 1097 | } |
---|
| 1098 | } |
---|
| 1099 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
---|
| 1100 | if((stdTrace!=NULL && stdTrace->SPoly) || (stdTrace == NULL)) |
---|
| 1101 | { |
---|
| 1102 | kTest(strat); |
---|
| 1103 | if (pNext(strat->P.p) == strat->tail) |
---|
| 1104 | { |
---|
| 1105 | /* deletes the short spoly and computes */ |
---|
| 1106 | pFree1(strat->P.p); |
---|
| 1107 | /* the real one */ |
---|
| 1108 | strat->P.p = spSpolyCreate(strat->P.p1,strat->P.p2,strat->kNoether); |
---|
| 1109 | } |
---|
| 1110 | if((strat->P.p1==NULL) && (strat->minim>0)) |
---|
| 1111 | strat->P.p2=pCopy(strat->P.p); |
---|
| 1112 | } |
---|
| 1113 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
---|
| 1114 | if((stdTrace!=NULL && stdTrace->Reduzieren) || (stdTrace == NULL)) |
---|
| 1115 | { |
---|
| 1116 | #ifdef SDRING |
---|
| 1117 | if (strat->P.p != NULL) |
---|
| 1118 | #endif |
---|
| 1119 | { |
---|
| 1120 | if (strat->honey) |
---|
| 1121 | { |
---|
| 1122 | if (TEST_OPT_PROT) message(strat->P.ecart+pFDeg(strat->P.p),&olddeg,&reduc,strat); |
---|
| 1123 | } |
---|
| 1124 | else |
---|
| 1125 | { |
---|
| 1126 | if (TEST_OPT_PROT) message(pFDeg(strat->P.p),&olddeg,&reduc,strat); |
---|
| 1127 | } |
---|
| 1128 | /* reduction of the element choosen from L */ |
---|
| 1129 | oldLl=strat->Ll; |
---|
| 1130 | strat->red(&strat->P,strat); |
---|
| 1131 | if(stdTrace!=NULL && stdTrace->TupelPosition) |
---|
| 1132 | stdTrace->CheckPosition(strat,oldLl); |
---|
| 1133 | if((stdTrace!=NULL && stdTrace->TupelMelden)) |
---|
| 1134 | stdTrace->SendTupel(strat); |
---|
| 1135 | if(stdTrace!=NULL && strat->P.p!=NULL && stdTrace->Modus==ModCheck) |
---|
| 1136 | anzNew++; |
---|
| 1137 | } |
---|
| 1138 | if (strat->P.p != NULL) |
---|
| 1139 | { |
---|
| 1140 | #ifdef SDRING |
---|
| 1141 | aug[0]=strat->P.p; |
---|
| 1142 | augl=0; |
---|
| 1143 | if (pSDRING) |
---|
[51c163] | 1144 | { |
---|
| 1145 | oldLcm=strat->P.lcm; |
---|
[64ced6] | 1146 | #ifdef SRING |
---|
[51c163] | 1147 | if (pSRING) psAug(pCopy(strat->P.p),pOne(),&aug,&augl,&augmax); |
---|
[64ced6] | 1148 | #endif |
---|
| 1149 | #ifdef DRING |
---|
[51c163] | 1150 | if (pDRING) pdAug(pCopy(strat->P.p),&aug,&augl,&augmax); |
---|
[64ced6] | 1151 | #endif |
---|
[51c163] | 1152 | #ifdef KDEBUG |
---|
| 1153 | if (TEST_OPT_DEBUG) |
---|
| 1154 | { |
---|
| 1155 | PrintS(" aug of "); |
---|
| 1156 | wrp(aug[0]); |
---|
| 1157 | PrintLn(); |
---|
| 1158 | int iiaug=augl; |
---|
| 1159 | while (iiaug>=0) |
---|
| 1160 | { |
---|
| 1161 | Print(" to %d:",iiaug); |
---|
| 1162 | wrp(aug[iiaug]); |
---|
| 1163 | PrintLn(); |
---|
| 1164 | iiaug--; |
---|
| 1165 | } |
---|
| 1166 | } |
---|
| 1167 | #endif |
---|
| 1168 | } |
---|
[64ced6] | 1169 | for (augl++;augl != 0;) |
---|
| 1170 | { |
---|
| 1171 | strat->P.p=aug[--augl]; |
---|
| 1172 | aug[augl]=NULL; |
---|
| 1173 | if (pSDRING) |
---|
| 1174 | { |
---|
| 1175 | if (oldLcm==NULL) strat->P.lcm=NULL; |
---|
| 1176 | else strat->P.lcm=pCopy1(oldLcm); |
---|
| 1177 | } |
---|
| 1178 | if ((augl!=0)&&(strat->P.p!=NULL)) |
---|
| 1179 | strat->red(&strat->P,strat); |
---|
| 1180 | if (strat->P.p != NULL) |
---|
| 1181 | { |
---|
| 1182 | #endif |
---|
| 1183 | /* statistic */ |
---|
| 1184 | if (TEST_OPT_PROT) PrintS("s"); |
---|
| 1185 | /* enter P.p into s and L */ |
---|
| 1186 | { |
---|
| 1187 | int pos=posInS(strat->S,strat->sl,strat->P.p); |
---|
| 1188 | #ifdef SDRING |
---|
| 1189 | if ((pSDRING) && (pos<=strat->sl)&& (pComparePolys(strat->P.p,strat->S[pos]))) |
---|
| 1190 | { |
---|
| 1191 | if (TEST_OPT_PROT) |
---|
| 1192 | PrintS("d"); |
---|
| 1193 | } |
---|
| 1194 | else |
---|
| 1195 | #endif |
---|
| 1196 | { |
---|
| 1197 | if (TEST_OPT_INTSTRATEGY) |
---|
| 1198 | { |
---|
| 1199 | if ((!TEST_OPT_MINRES)||(strat->syzComp==0)||(!strat->homog)) |
---|
| 1200 | { |
---|
| 1201 | strat->P.p = redtailBba(strat->P.p,pos-1,strat); |
---|
| 1202 | pCleardenom(strat->P.p); |
---|
| 1203 | } |
---|
| 1204 | } |
---|
| 1205 | else |
---|
| 1206 | { |
---|
| 1207 | pNorm(strat->P.p); |
---|
| 1208 | if ((!TEST_OPT_MINRES)||(strat->syzComp==0)||(!strat->homog)) |
---|
| 1209 | { |
---|
| 1210 | strat->P.p = redtailBba(strat->P.p,pos-1,strat); |
---|
| 1211 | } |
---|
| 1212 | } |
---|
[51c163] | 1213 | #ifdef KDEBUG |
---|
[64ced6] | 1214 | if (TEST_OPT_DEBUG) |
---|
| 1215 | { |
---|
| 1216 | PrintS("new s:"); |
---|
| 1217 | wrp(strat->P.p); |
---|
| 1218 | PrintLn(); |
---|
| 1219 | } |
---|
[51c163] | 1220 | #endif |
---|
[64ced6] | 1221 | if((strat->P.p1==NULL) && (strat->minim>0)) |
---|
| 1222 | { |
---|
| 1223 | if (strat->minim==1) |
---|
| 1224 | { |
---|
| 1225 | strat->M->m[minimcnt]=pCopy(strat->P.p); |
---|
| 1226 | pDelete(&strat->P.p2); |
---|
| 1227 | } |
---|
| 1228 | else |
---|
| 1229 | { |
---|
| 1230 | strat->M->m[minimcnt]=strat->P.p2; |
---|
| 1231 | strat->P.p2=NULL; |
---|
| 1232 | } |
---|
| 1233 | minimcnt++; |
---|
| 1234 | } |
---|
| 1235 | enterpairs(strat->P.p,strat->sl,strat->P.ecart,pos,strat); |
---|
| 1236 | if (strat->sl==-1) pos=0; |
---|
| 1237 | else pos=posInS(strat->S,strat->sl,strat->P.p); |
---|
| 1238 | strat->enterS(strat->P,pos,strat); |
---|
| 1239 | } |
---|
| 1240 | if (hilb!=NULL) |
---|
| 1241 | { // xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx |
---|
| 1242 | oldLl=strat->Ll; |
---|
| 1243 | khCheck(Q,w,hilb,hilbeledeg,hilbcount,strat); |
---|
| 1244 | if(stdTrace!=NULL) |
---|
| 1245 | stdTrace->CheckHilb(strat,oldLl); |
---|
| 1246 | } |
---|
| 1247 | } |
---|
| 1248 | if (strat->P.lcm!=NULL) pFree1(strat->P.lcm); |
---|
| 1249 | #ifdef SDRING |
---|
| 1250 | } |
---|
| 1251 | } |
---|
| 1252 | /* delete the old pair */ |
---|
| 1253 | if (pSDRING &&(oldLcm!=NULL)) pFree1(oldLcm); |
---|
| 1254 | #endif |
---|
| 1255 | if (strat->sl>srmax) srmax = strat->sl; |
---|
| 1256 | } |
---|
| 1257 | if(stdTrace!=NULL && stdTrace->TupelTesten) |
---|
| 1258 | stdTrace->TupelDifferent(strat); |
---|
| 1259 | } |
---|
| 1260 | #ifdef KDEBUG |
---|
| 1261 | strat->P.lcm=NULL; |
---|
| 1262 | #endif |
---|
| 1263 | kTest(strat); |
---|
| 1264 | } |
---|
| 1265 | if(stdTrace !=NULL) |
---|
| 1266 | if(TEST_OPT_PROT) |
---|
| 1267 | { |
---|
| 1268 | Print("\n(Tupel Skipped New) = (%i %i %i)\n",anzTupel, anzSkipped, anzNew); |
---|
| 1269 | } |
---|
| 1270 | if((stdTrace!=NULL && stdTrace->ResultSend) || (stdTrace == NULL)) |
---|
| 1271 | { |
---|
[51c163] | 1272 | #ifdef KDEBUG |
---|
[64ced6] | 1273 | if (TEST_OPT_DEBUG) messageSets(strat); |
---|
[51c163] | 1274 | #endif |
---|
[64ced6] | 1275 | /* complete reduction of the standard basis--------- */ |
---|
| 1276 | if (TEST_OPT_REDSB) completeReduce(strat); |
---|
| 1277 | /* release temp data-------------------------------- */ |
---|
| 1278 | exitBuchMora(strat); |
---|
| 1279 | if (TEST_OPT_WEIGHTM) |
---|
| 1280 | { |
---|
| 1281 | pFDeg=pFDegOld; |
---|
| 1282 | pLDeg=pLDegOld; |
---|
| 1283 | if (ecartWeights) |
---|
| 1284 | { |
---|
| 1285 | Free((ADDRESS)ecartWeights,(pVariables+1)*sizeof(short)); |
---|
| 1286 | ecartWeights=NULL; |
---|
| 1287 | } |
---|
| 1288 | } |
---|
| 1289 | #ifdef SDRING |
---|
| 1290 | Free((ADDRESS)aug,augmax*sizeof(poly)); |
---|
| 1291 | #endif |
---|
| 1292 | if (TEST_OPT_PROT) messageStat(srmax,lrmax,hilbcount,strat); |
---|
| 1293 | if (Q!=NULL) updateResult(strat->Shdl,Q,strat); |
---|
| 1294 | } |
---|
| 1295 | if(stdTrace!=NULL) |
---|
| 1296 | stdTrace->End(strat); |
---|
| 1297 | lists l=(lists)Alloc(sizeof(slists)); |
---|
| 1298 | l->Init(2); |
---|
| 1299 | l->m[0].rtyp = IDEAL_CMD; |
---|
| 1300 | l->m[0].data = (void *) strat->Shdl; |
---|
[d86e64] | 1301 | if(stdTrace!=NULL) |
---|
| 1302 | { |
---|
| 1303 | l->m[1].rtyp = LIST_CMD; |
---|
| 1304 | l->m[1].data = (void *)stdTrace->RestTupel(); |
---|
| 1305 | } |
---|
[64ced6] | 1306 | return (l); |
---|
| 1307 | } |
---|
| 1308 | |
---|
| 1309 | #else |
---|
| 1310 | |
---|
[0e1846] | 1311 | ideal bba (ideal F, ideal Q,intvec *w,intvec *hilb,kStrategy strat) |
---|
| 1312 | { |
---|
| 1313 | int srmax,lrmax; |
---|
| 1314 | int olddeg,reduc; |
---|
| 1315 | #ifdef SDRING |
---|
| 1316 | polyset aug=(polyset)Alloc(setmax*sizeof(poly)); |
---|
| 1317 | int augmax=setmax, augl=-1; |
---|
| 1318 | poly oldLcm=NULL; |
---|
| 1319 | #endif |
---|
| 1320 | int hilbeledeg=1,hilbcount=0,minimcnt=0; |
---|
| 1321 | |
---|
| 1322 | initBuchMoraCrit(strat); /*set Gebauer, honey, sugarCrit*/ |
---|
| 1323 | initHilbCrit(F,Q,&hilb,strat); |
---|
| 1324 | initBba(F,strat); |
---|
| 1325 | initBuchMoraPos(strat); |
---|
| 1326 | /*set enterS, spSpolyShort, reduce, red, initEcart, initEcartPair*/ |
---|
| 1327 | /*Shdl=*/initBuchMora(F, Q,strat); |
---|
| 1328 | if (strat->minim>0) |
---|
| 1329 | { |
---|
| 1330 | strat->M=idInit(IDELEMS(F),F->rank); |
---|
| 1331 | } |
---|
| 1332 | srmax = strat->sl; |
---|
| 1333 | reduc = olddeg = lrmax = 0; |
---|
| 1334 | /* compute------------------------------------------------------- */ |
---|
| 1335 | while (strat->Ll >= 0) |
---|
| 1336 | { |
---|
| 1337 | if (strat->Ll > lrmax) lrmax =strat->Ll;/*stat.*/ |
---|
[51c163] | 1338 | #ifdef KDEBUG |
---|
[0e1846] | 1339 | if (TEST_OPT_DEBUG) messageSets(strat); |
---|
[51c163] | 1340 | #endif |
---|
[c3c413] | 1341 | //test_int_std(strat->kIdeal); |
---|
[0e1846] | 1342 | if (strat->Ll== 0) strat->interpt=TRUE; |
---|
| 1343 | if (TEST_OPT_DEGBOUND |
---|
| 1344 | && ((strat->honey && (strat->L[strat->Ll].ecart+pFDeg(strat->L[strat->Ll].p)>Kstd1_deg)) |
---|
| 1345 | || ((!strat->honey) && (pFDeg(strat->L[strat->Ll].p)>Kstd1_deg)))) |
---|
| 1346 | { |
---|
| 1347 | /* |
---|
| 1348 | *stops computation if |
---|
| 1349 | * 24 IN test and the degree +ecart of L[strat->Ll] is bigger then |
---|
| 1350 | *a predefined number Kstd1_deg |
---|
| 1351 | */ |
---|
| 1352 | while (strat->Ll >= 0) deleteInL(strat->L,&strat->Ll,strat->Ll,strat); |
---|
| 1353 | break; |
---|
| 1354 | } |
---|
| 1355 | /* picks the last element from the lazyset L */ |
---|
| 1356 | strat->P = strat->L[strat->Ll]; |
---|
| 1357 | strat->Ll--; |
---|
| 1358 | kTest(strat); |
---|
| 1359 | if (pNext(strat->P.p) == strat->tail) |
---|
| 1360 | { |
---|
| 1361 | /* deletes the short spoly and computes */ |
---|
| 1362 | pFree1(strat->P.p); |
---|
| 1363 | /* the real one */ |
---|
| 1364 | strat->P.p = spSpolyCreate(strat->P.p1,strat->P.p2,strat->kNoether); |
---|
| 1365 | } |
---|
[954622] | 1366 | kTest(strat); |
---|
[0e1846] | 1367 | if((strat->P.p1==NULL) && (strat->minim>0)) |
---|
| 1368 | strat->P.p2=pCopy(strat->P.p); |
---|
| 1369 | #ifdef SDRING |
---|
| 1370 | if (strat->P.p != NULL) |
---|
| 1371 | #endif |
---|
| 1372 | { |
---|
| 1373 | if (strat->honey) |
---|
| 1374 | { |
---|
| 1375 | if (TEST_OPT_PROT) message(strat->P.ecart+pFDeg(strat->P.p),&olddeg,&reduc,strat); |
---|
| 1376 | } |
---|
| 1377 | else |
---|
| 1378 | { |
---|
| 1379 | if (TEST_OPT_PROT) message(pFDeg(strat->P.p),&olddeg,&reduc,strat); |
---|
| 1380 | } |
---|
[954622] | 1381 | kTest(strat); |
---|
[0e1846] | 1382 | /* reduction of the element choosen from L */ |
---|
| 1383 | strat->red(&strat->P,strat); |
---|
[ca7a56] | 1384 | pTest(strat->P.p); |
---|
[0e1846] | 1385 | } |
---|
[954622] | 1386 | kTest(strat); |
---|
[0e1846] | 1387 | if (strat->P.p != NULL) |
---|
| 1388 | { |
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| 1389 | #ifdef SDRING |
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| 1390 | aug[0]=strat->P.p; |
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| 1391 | augl=0; |
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| 1392 | if (pSDRING) |
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| 1393 | { |
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| 1394 | oldLcm=strat->P.lcm; |
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| 1395 | #ifdef SRING |
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| 1396 | if (pSRING) psAug(pCopy(strat->P.p),pOne(),&aug,&augl,&augmax); |
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| 1397 | #endif |
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| 1398 | #ifdef DRING |
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| 1399 | if (pDRING) pdAug(pCopy(strat->P.p),&aug,&augl,&augmax); |
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| 1400 | #endif |
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[51c163] | 1401 | #ifdef KDEBUG |
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[0e1846] | 1402 | if (TEST_OPT_DEBUG) |
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| 1403 | { |
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| 1404 | PrintS(" aug of "); |
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| 1405 | wrp(aug[0]); |
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| 1406 | PrintLn(); |
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| 1407 | int iiaug=augl; |
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| 1408 | while (iiaug>=0) |
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| 1409 | { |
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| 1410 | Print(" to %d:",iiaug); |
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| 1411 | wrp(aug[iiaug]); |
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| 1412 | PrintLn(); |
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| 1413 | iiaug--; |
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| 1414 | } |
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| 1415 | } |
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[51c163] | 1416 | #endif |
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[0e1846] | 1417 | } |
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| 1418 | for (augl++;augl != 0;) |
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| 1419 | { |
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| 1420 | strat->P.p=aug[--augl]; |
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| 1421 | aug[augl]=NULL; |
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| 1422 | if (pSDRING) |
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| 1423 | { |
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| 1424 | if (oldLcm==NULL) strat->P.lcm=NULL; |
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| 1425 | else strat->P.lcm=pCopy1(oldLcm); |
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| 1426 | } |
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| 1427 | if ((augl!=0)&&(strat->P.p!=NULL)) |
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| 1428 | strat->red(&strat->P,strat); |
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| 1429 | if (strat->P.p != NULL) |
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| 1430 | { |
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| 1431 | #endif |
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| 1432 | /* statistic */ |
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| 1433 | if (TEST_OPT_PROT) PrintS("s"); |
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| 1434 | /* enter P.p into s and L */ |
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| 1435 | { |
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| 1436 | int pos=posInS(strat->S,strat->sl,strat->P.p); |
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| 1437 | #ifdef SDRING |
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| 1438 | if ((pSDRING) && (pos<=strat->sl)&& (pComparePolys(strat->P.p,strat->S[pos]))) |
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| 1439 | { |
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| 1440 | if (TEST_OPT_PROT) |
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| 1441 | PrintS("d"); |
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| 1442 | } |
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| 1443 | else |
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| 1444 | #endif |
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| 1445 | { |
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| 1446 | if (TEST_OPT_INTSTRATEGY) |
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| 1447 | { |
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| 1448 | if ((!TEST_OPT_MINRES)||(strat->syzComp==0)||(!strat->homog)) |
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| 1449 | { |
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| 1450 | strat->P.p = redtailBba(strat->P.p,pos-1,strat); |
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| 1451 | pCleardenom(strat->P.p); |
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| 1452 | } |
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| 1453 | } |
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| 1454 | else |
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| 1455 | { |
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| 1456 | pNorm(strat->P.p); |
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| 1457 | if ((!TEST_OPT_MINRES)||(strat->syzComp==0)||(!strat->homog)) |
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| 1458 | { |
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| 1459 | strat->P.p = redtailBba(strat->P.p,pos-1,strat); |
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| 1460 | } |
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| 1461 | } |
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[51c163] | 1462 | #ifdef KDEBUG |
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[0e1846] | 1463 | if (TEST_OPT_DEBUG) |
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| 1464 | { |
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| 1465 | PrintS("new s:"); |
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| 1466 | wrp(strat->P.p); |
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| 1467 | PrintLn(); |
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| 1468 | } |
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[51c163] | 1469 | #endif |
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[0e1846] | 1470 | if((strat->P.p1==NULL) && (strat->minim>0)) |
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| 1471 | { |
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| 1472 | if (strat->minim==1) |
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| 1473 | { |
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| 1474 | strat->M->m[minimcnt]=pCopy(strat->P.p); |
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| 1475 | pDelete(&strat->P.p2); |
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| 1476 | } |
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| 1477 | else |
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| 1478 | { |
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| 1479 | strat->M->m[minimcnt]=strat->P.p2; |
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| 1480 | strat->P.p2=NULL; |
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| 1481 | } |
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| 1482 | minimcnt++; |
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| 1483 | } |
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| 1484 | enterpairs(strat->P.p,strat->sl,strat->P.ecart,pos,strat); |
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| 1485 | if (strat->sl==-1) pos=0; |
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| 1486 | else pos=posInS(strat->S,strat->sl,strat->P.p); |
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| 1487 | strat->enterS(strat->P,pos,strat); |
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| 1488 | } |
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| 1489 | if (hilb!=NULL) khCheck(Q,w,hilb,hilbeledeg,hilbcount,strat); |
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| 1490 | } |
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| 1491 | if (strat->P.lcm!=NULL) pFree1(strat->P.lcm); |
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| 1492 | #ifdef SDRING |
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| 1493 | } |
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| 1494 | } |
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| 1495 | /* delete the old pair */ |
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| 1496 | if (pSDRING &&(oldLcm!=NULL)) pFree1(oldLcm); |
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| 1497 | #endif |
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| 1498 | if (strat->sl>srmax) srmax = strat->sl; |
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| 1499 | } |
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| 1500 | #ifdef KDEBUG |
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| 1501 | strat->P.lcm=NULL; |
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| 1502 | #endif |
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| 1503 | kTest(strat); |
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| 1504 | } |
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[51c163] | 1505 | #ifdef KDEBUG |
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[0e1846] | 1506 | if (TEST_OPT_DEBUG) messageSets(strat); |
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[51c163] | 1507 | #endif |
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[0e1846] | 1508 | /* complete reduction of the standard basis--------- */ |
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| 1509 | if (TEST_OPT_REDSB) completeReduce(strat); |
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| 1510 | /* release temp data-------------------------------- */ |
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| 1511 | exitBuchMora(strat); |
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| 1512 | if (TEST_OPT_WEIGHTM) |
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| 1513 | { |
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| 1514 | pFDeg=pFDegOld; |
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| 1515 | pLDeg=pLDegOld; |
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| 1516 | if (ecartWeights) |
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| 1517 | { |
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| 1518 | Free((ADDRESS)ecartWeights,(pVariables+1)*sizeof(short)); |
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| 1519 | ecartWeights=NULL; |
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| 1520 | } |
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| 1521 | } |
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| 1522 | #ifdef SDRING |
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| 1523 | Free((ADDRESS)aug,augmax*sizeof(poly)); |
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| 1524 | #endif |
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| 1525 | if (TEST_OPT_PROT) messageStat(srmax,lrmax,hilbcount,strat); |
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| 1526 | if (Q!=NULL) updateResult(strat->Shdl,Q,strat); |
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| 1527 | return (strat->Shdl); |
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| 1528 | } |
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[64ced6] | 1529 | #endif |
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[0e1846] | 1530 | |
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| 1531 | poly kNF2 (ideal F,ideal Q,poly q,kStrategy strat, int lazyReduce) |
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| 1532 | { |
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| 1533 | poly p; |
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| 1534 | int i; |
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| 1535 | |
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| 1536 | if ((idIs0(F))&&(Q==NULL)) |
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| 1537 | return pCopy(q); /*F=0*/ |
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| 1538 | strat->ak = idRankFreeModule(F); |
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| 1539 | /*- creating temp data structures------------------- -*/ |
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| 1540 | BITSET save_test=test; |
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| 1541 | test|=Sy_bit(OPT_REDTAIL); |
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| 1542 | initBuchMoraCrit(strat); |
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| 1543 | strat->initEcart = initEcartBBA; |
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| 1544 | strat->enterS = enterSBba; |
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| 1545 | /*- set S -*/ |
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| 1546 | strat->sl = -1; |
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[1caa72] | 1547 | strat->spSpolyLoop = spGetSpolyLoop(currRing, max(strat->ak, pMaxComp(q)), |
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[18255d] | 1548 | strat->syzComp, FALSE); |
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[0e1846] | 1549 | /*- init local data struct.---------------------------------------- -*/ |
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| 1550 | /*Shdl=*/initS(F,Q,strat); |
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| 1551 | /*- compute------------------------------------------------------- -*/ |
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| 1552 | if ((TEST_OPT_INTSTRATEGY)&&(lazyReduce==0)) |
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| 1553 | { |
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| 1554 | for (i=strat->sl;i>=0;i--) |
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| 1555 | pNorm(strat->S[i]); |
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| 1556 | } |
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| 1557 | kTest(strat); |
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| 1558 | p = redNF(pCopy(q),strat); |
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| 1559 | kTest(strat); |
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| 1560 | if ((p!=NULL)&&(lazyReduce==0)) |
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| 1561 | { |
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| 1562 | p = redtailBba(p,strat->sl,strat); |
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| 1563 | } |
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| 1564 | kTest(strat); |
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| 1565 | /*- release temp data------------------------------- -*/ |
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| 1566 | Free((ADDRESS)strat->ecartS,IDELEMS(strat->Shdl)*sizeof(int)); |
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| 1567 | idDelete(&strat->Shdl); |
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| 1568 | test=save_test; |
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| 1569 | return p; |
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| 1570 | } |
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| 1571 | |
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| 1572 | ideal kNF2 (ideal F,ideal Q,ideal q,kStrategy strat, int lazyReduce) |
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| 1573 | { |
---|
| 1574 | poly p; |
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| 1575 | int i; |
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| 1576 | ideal res; |
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| 1577 | |
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| 1578 | if (idIs0(q)) |
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| 1579 | return idInit(1,q->rank); |
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| 1580 | if ((idIs0(F))&&(Q==NULL)) |
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| 1581 | return idCopy(q); /*F=0*/ |
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| 1582 | strat->ak = idRankFreeModule(F); |
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| 1583 | /*- creating temp data structures------------------- -*/ |
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| 1584 | BITSET save_test=test; |
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| 1585 | test|=Sy_bit(OPT_REDTAIL); |
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| 1586 | initBuchMoraCrit(strat); |
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| 1587 | strat->initEcart = initEcartBBA; |
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| 1588 | strat->enterS = enterSBba; |
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| 1589 | /*- set S -*/ |
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| 1590 | strat->sl = -1; |
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[18255d] | 1591 | strat->spSpolyLoop = spGetSpolyLoop(currRing, |
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[1caa72] | 1592 | max(strat->ak, idRankFreeModule(q)), |
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[18255d] | 1593 | strat->syzComp, FALSE); |
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[0e1846] | 1594 | /*- init local data struct.---------------------------------------- -*/ |
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| 1595 | /*Shdl=*/initS(F,Q,strat); |
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| 1596 | /*- compute------------------------------------------------------- -*/ |
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| 1597 | res=idInit(IDELEMS(q),q->rank); |
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| 1598 | if ((TEST_OPT_INTSTRATEGY)&&(lazyReduce==0)) |
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| 1599 | { |
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| 1600 | for (i=strat->sl;i>=0;i--) |
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| 1601 | pNorm(strat->S[i]); |
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| 1602 | } |
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| 1603 | for (i=IDELEMS(q)-1; i>=0; i--) |
---|
| 1604 | { |
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| 1605 | if (q->m[i]!=NULL) |
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| 1606 | { |
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| 1607 | p = redNF(pCopy(q->m[i]),strat); |
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| 1608 | if ((p!=NULL)&&(lazyReduce==0)) |
---|
| 1609 | { |
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| 1610 | p = redtailBba(p,strat->sl,strat); |
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| 1611 | } |
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| 1612 | res->m[i]=p; |
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| 1613 | } |
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| 1614 | //else |
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| 1615 | // res->m[i]=NULL; |
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| 1616 | if (TEST_OPT_PROT) |
---|
| 1617 | { |
---|
| 1618 | PrintS("-");mflush(); |
---|
| 1619 | } |
---|
| 1620 | } |
---|
| 1621 | /*- release temp data------------------------------- -*/ |
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| 1622 | Free((ADDRESS)strat->ecartS,IDELEMS(strat->Shdl)*sizeof(int)); |
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| 1623 | idDelete(&strat->Shdl); |
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| 1624 | test=save_test; |
---|
| 1625 | return res; |
---|
| 1626 | } |
---|
| 1627 | |
---|
| 1628 | static ideal bbared (ideal F, ideal Q,kStrategy strat) |
---|
| 1629 | { |
---|
| 1630 | |
---|
| 1631 | /* complete reduction of the standard basis--------- */ |
---|
| 1632 | completeReduce(strat); |
---|
| 1633 | /* release temp data-------------------------------- */ |
---|
| 1634 | exitBuchMora(strat); |
---|
| 1635 | if (TEST_OPT_WEIGHTM) |
---|
| 1636 | { |
---|
| 1637 | pFDeg=pFDegOld; |
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| 1638 | pLDeg=pLDegOld; |
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| 1639 | if (ecartWeights) |
---|
| 1640 | { |
---|
| 1641 | Free((ADDRESS)ecartWeights,(pVariables+1)*sizeof(short)); |
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| 1642 | ecartWeights=NULL; |
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| 1643 | } |
---|
| 1644 | } |
---|
| 1645 | if (Q!=NULL) updateResult(strat->Shdl,Q,strat); |
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| 1646 | return (strat->Shdl); |
---|
| 1647 | } |
---|
| 1648 | |
---|
| 1649 | ideal stdred(ideal F, ideal Q, tHomog h,intvec ** w) |
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| 1650 | { |
---|
| 1651 | ideal r; |
---|
| 1652 | BOOLEAN b=pLexOrder,toReset=FALSE; |
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| 1653 | BOOLEAN delete_w=(w==NULL); |
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| 1654 | kStrategy strat=(kStrategy)Alloc0(sizeof(skStrategy)); |
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| 1655 | |
---|
| 1656 | if (currRing->ch==0) strat->LazyPass=2; |
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| 1657 | else strat->LazyPass=20; |
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| 1658 | strat->LazyDegree = 1; |
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[1caa72] | 1659 | strat->ak = idRankFreeModule(F); |
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[0e1846] | 1660 | if ((h==testHomog)) |
---|
| 1661 | { |
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[f003a9] | 1662 | if (strat->ak==0) |
---|
[0e1846] | 1663 | { |
---|
| 1664 | h = (tHomog)idHomIdeal(F,Q); |
---|
| 1665 | w=NULL; |
---|
| 1666 | } |
---|
| 1667 | else |
---|
| 1668 | h = (tHomog)idHomModule(F,Q,w); |
---|
| 1669 | } |
---|
| 1670 | if (h==isHomog) |
---|
| 1671 | { |
---|
| 1672 | if ((w!=NULL) && (*w!=NULL)) |
---|
| 1673 | { |
---|
| 1674 | kModW = *w; |
---|
[f003a9] | 1675 | strat->kModW = *w; |
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[0e1846] | 1676 | pOldFDeg = pFDeg; |
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| 1677 | pFDeg = kModDeg; |
---|
| 1678 | toReset = TRUE; |
---|
| 1679 | } |
---|
| 1680 | pLexOrder = TRUE; |
---|
| 1681 | strat->LazyPass*=2; |
---|
| 1682 | } |
---|
| 1683 | strat->homog=h; |
---|
| 1684 | spSet(currRing); |
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[f92fa13] | 1685 | strat->spSpolyLoop = spGetSpolyLoop(currRing, strat); |
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[0e1846] | 1686 | initBuchMoraCrit(strat); /*set Gebauer, honey, sugarCrit*/ |
---|
| 1687 | initBuchMoraPos(strat); |
---|
| 1688 | if (pOrdSgn==1) |
---|
| 1689 | initBba(F,strat); |
---|
| 1690 | else |
---|
| 1691 | initMora(F,strat); |
---|
| 1692 | initBuchMora(F, Q,strat); |
---|
| 1693 | //initS(F,Q,strat); |
---|
| 1694 | // Ende der Initalisierung |
---|
| 1695 | r=bbared(F,Q,strat); |
---|
| 1696 | #ifdef KDEBUG |
---|
| 1697 | int i; |
---|
| 1698 | for (i=0; i<IDELEMS(r); i++) pTest(r->m[i]); |
---|
| 1699 | #endif |
---|
| 1700 | // Ende: aufraeumen |
---|
| 1701 | if (toReset) |
---|
| 1702 | { |
---|
| 1703 | kModW = NULL; |
---|
| 1704 | pFDeg = pOldFDeg; |
---|
| 1705 | } |
---|
| 1706 | pLexOrder = b; |
---|
| 1707 | Free((ADDRESS)strat,sizeof(skStrategy)); |
---|
| 1708 | if ((delete_w)&&(w!=NULL)&&(*w!=NULL)) delete *w; |
---|
| 1709 | idSkipZeroes(r); |
---|
| 1710 | return r; |
---|
| 1711 | } |
---|