[64f0ca] | 1 | #define PLURAL_INTERNAL_DECLARATIONS |
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| 2 | |
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[89f4843] | 3 | #include "kernel/mod2.h" |
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[9f7665] | 4 | |
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[89f4843] | 5 | #include "misc/options.h" |
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[9f7665] | 6 | |
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[89f4843] | 7 | #include "polys/simpleideals.h" |
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| 8 | #include "polys/prCopy.h" |
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[9f7665] | 9 | |
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[89f4843] | 10 | #include "polys/nc/sca.h" |
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| 11 | #include "polys/nc/gb_hack.h" |
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[c7aad0] | 12 | |
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[89f4843] | 13 | #include "kernel/polys.h" |
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| 14 | #include "kernel/ideals.h" |
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| 15 | #include "kernel/GBEngine/kstd1.h" |
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| 16 | #include "kernel/GBEngine/kutil.h" |
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[c7aad0] | 17 | |
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[89f4843] | 18 | #include "kernel/GBEngine/nc.h" |
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[c7aad0] | 19 | |
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[64f0ca] | 20 | /// nc_gr_initBba is needed for sca_gr_bba and gr_bba. |
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| 21 | void nc_gr_initBba(ideal F, kStrategy strat); // from gr_kstd2.cc! |
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| 22 | |
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[c7aad0] | 23 | void addLObject(LObject& h, kStrategy& strat) |
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| 24 | { |
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| 25 | if(h.IsNull()) return; |
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| 26 | |
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| 27 | strat->initEcart(&h); |
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| 28 | h.sev=0; // pGetShortExpVector(h.p); |
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| 29 | |
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| 30 | // add h into S and L |
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| 31 | int pos=posInS(strat, strat->sl, h.p, h.ecart); |
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| 32 | |
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[64f0ca] | 33 | if ( (pos <= strat->sl) && (p_ComparePolys(h.p, strat->S[pos], currRing)) ) |
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[c7aad0] | 34 | { |
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| 35 | if (TEST_OPT_PROT) |
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| 36 | PrintS("d\n"); |
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| 37 | } |
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| 38 | else |
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| 39 | { |
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| 40 | if (TEST_OPT_INTSTRATEGY) |
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| 41 | { |
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| 42 | p_Cleardenom(h.p, currRing); |
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| 43 | } |
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| 44 | else |
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| 45 | { |
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| 46 | pNorm(h.p); |
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| 47 | } |
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| 48 | |
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| 49 | if ((strat->syzComp==0)||(!strat->homog)) |
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| 50 | { |
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| 51 | h.p = redtailBba(h.p,pos-1,strat); |
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| 52 | |
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| 53 | if (TEST_OPT_INTSTRATEGY) |
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| 54 | { |
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[df63e69] | 55 | p_Cleardenom(h.p,currRing); |
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[c7aad0] | 56 | } |
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| 57 | else |
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| 58 | { |
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| 59 | pNorm(h.p); |
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| 60 | } |
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| 61 | } |
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| 62 | |
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| 63 | if(h.IsNull()) return; |
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| 64 | |
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| 65 | // statistic |
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| 66 | if (TEST_OPT_PROT) |
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| 67 | { |
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| 68 | PrintS("s\n"); |
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| 69 | } |
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| 70 | |
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| 71 | #ifdef KDEBUG |
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| 72 | if (TEST_OPT_DEBUG) |
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| 73 | { |
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| 74 | PrintS("new s:"); |
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| 75 | wrp(h.p); |
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| 76 | PrintLn(); |
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| 77 | } |
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| 78 | #endif |
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| 79 | |
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| 80 | enterpairs(h.p, strat->sl, h.ecart, 0, strat); |
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| 81 | |
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| 82 | pos=0; |
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| 83 | |
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| 84 | if (strat->sl!=-1) pos = posInS(strat, strat->sl, h.p, h.ecart); |
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[b5a454] | 85 | strat->enterS(h, pos, strat, -1); |
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[c7aad0] | 86 | // enterT(h, strat); // ?! |
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| 87 | |
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[3e5610] | 88 | kDeleteLcm(&h); |
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[c7aad0] | 89 | } |
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| 90 | |
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| 91 | |
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| 92 | } |
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| 93 | |
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| 94 | |
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[7203f7] | 95 | ideal k_sca_gr_bba(const ideal F, const ideal Q, const intvec *, const intvec *, kStrategy strat, const ring _currRing) |
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[c7aad0] | 96 | { |
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[64f0ca] | 97 | const ring save = currRing; |
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| 98 | if( currRing != _currRing ) rChangeCurrRing(_currRing); |
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| 99 | assume( currRing == _currRing ); |
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| 100 | |
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[a9c298] | 101 | |
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[c7aad0] | 102 | #if MYTEST |
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| 103 | PrintS("<sca_gr_bba>\n"); |
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| 104 | #endif |
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| 105 | |
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| 106 | assume(rIsSCA(currRing)); |
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| 107 | |
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[7fe9e13] | 108 | #ifndef SING_NDEBUG |
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[c7aad0] | 109 | idTest(F); |
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| 110 | idTest(Q); |
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| 111 | #endif |
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| 112 | |
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| 113 | #ifdef HAVE_PLURAL |
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| 114 | #if MYTEST |
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| 115 | PrintS("currRing: \n"); |
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| 116 | rWrite(currRing); |
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| 117 | #ifdef RDEBUG |
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| 118 | rDebugPrint(currRing); |
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| 119 | #endif |
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| 120 | |
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| 121 | PrintS("F: \n"); |
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| 122 | idPrint(F); |
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| 123 | PrintS("Q: \n"); |
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| 124 | idPrint(Q); |
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| 125 | #endif |
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| 126 | #endif |
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| 127 | |
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| 128 | |
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| 129 | const unsigned int m_iFirstAltVar = scaFirstAltVar(currRing); |
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| 130 | const unsigned int m_iLastAltVar = scaLastAltVar(currRing); |
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| 131 | |
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| 132 | ideal tempF = id_KillSquares(F, m_iFirstAltVar, m_iLastAltVar, currRing); |
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| 133 | ideal tempQ = Q; |
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| 134 | |
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[ac00e2f] | 135 | if(Q == currRing->qideal) |
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[c7aad0] | 136 | tempQ = SCAQuotient(currRing); |
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| 137 | |
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| 138 | strat->z2homog = id_IsSCAHomogeneous(tempF, NULL, NULL, currRing); // wCx == wCy == NULL! |
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| 139 | // redo: no_prod_crit |
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| 140 | const BOOLEAN bIsSCA = rIsSCA(currRing) && strat->z2homog; // for Z_2 prod-crit |
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| 141 | strat->no_prod_crit = ! bIsSCA; |
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| 142 | |
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| 143 | // strat->homog = strat->homog && strat->z2homog; // ? |
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| 144 | |
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| 145 | #if MYTEST |
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| 146 | { |
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| 147 | PrintS("ideal tempF: \n"); |
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| 148 | idPrint(tempF); |
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| 149 | PrintS("ideal tempQ: \n"); |
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| 150 | idPrint(tempQ); |
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| 151 | } |
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| 152 | #endif |
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| 153 | |
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| 154 | int olddeg, reduc; |
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| 155 | int red_result = 1; |
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| 156 | // int hilbeledeg = 1, minimcnt = 0; |
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| 157 | int hilbcount = 0; |
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| 158 | |
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| 159 | initBuchMoraCrit(strat); // set Gebauer, honey, sugarCrit |
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| 160 | |
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| 161 | nc_gr_initBba(tempF,strat); // set enterS, red, initEcart, initEcartPair |
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| 162 | |
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| 163 | initBuchMoraPos(strat); |
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| 164 | |
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| 165 | |
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| 166 | // ?? set spSpolyShort, reduce ??? |
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| 167 | |
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| 168 | initBuchMora(tempF, tempQ, strat); // SCAQuotient(currRing) instead of Q == squares!!!!!!! |
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| 169 | |
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| 170 | strat->posInT=posInT110; // !!! |
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| 171 | |
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[930ea8] | 172 | reduc = olddeg = 0; |
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[c7aad0] | 173 | |
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| 174 | |
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| 175 | // compute------------------------------------------------------- |
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| 176 | for(; strat->Ll >= 0; |
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| 177 | #ifdef KDEBUG |
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| 178 | strat->P.lcm = NULL, |
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| 179 | #endif |
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| 180 | kTest(strat) |
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| 181 | ) |
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| 182 | { |
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| 183 | #ifdef KDEBUG |
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| 184 | if (TEST_OPT_DEBUG) messageSets(strat); |
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| 185 | #endif |
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| 186 | |
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| 187 | if (strat->Ll== 0) strat->interpt=TRUE; |
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| 188 | |
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| 189 | if (TEST_OPT_DEGBOUND |
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| 190 | && ((strat->honey |
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[64f0ca] | 191 | && (strat->L[strat->Ll].ecart+ currRing->pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)) |
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| 192 | || ((!strat->honey) && (currRing->pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)))) |
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[c7aad0] | 193 | { |
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| 194 | // stops computation if |
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| 195 | // 24 IN test and the degree +ecart of L[strat->Ll] is bigger then |
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| 196 | // a predefined number Kstd1_deg |
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| 197 | while (strat->Ll >= 0) deleteInL(strat->L,&strat->Ll,strat->Ll,strat); |
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| 198 | break; |
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| 199 | } |
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| 200 | |
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| 201 | // picks the last element from the lazyset L |
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| 202 | strat->P = strat->L[strat->Ll]; |
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| 203 | strat->Ll--; |
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| 204 | |
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| 205 | //kTest(strat); |
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| 206 | |
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| 207 | // assume(pNext(strat->P.p) != strat->tail); // !??? |
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| 208 | if(strat->P.IsNull()) continue; |
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| 209 | |
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| 210 | |
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| 211 | if( pNext(strat->P.p) == strat->tail ) |
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| 212 | { |
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| 213 | // deletes the int spoly and computes SPoly |
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| 214 | pLmFree(strat->P.p); // ??? |
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| 215 | strat->P.p = nc_CreateSpoly(strat->P.p1, strat->P.p2, currRing); |
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| 216 | } |
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| 217 | |
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| 218 | if(strat->P.IsNull()) continue; |
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| 219 | |
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| 220 | // poly save = NULL; |
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| 221 | // |
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| 222 | // if(pNext(strat->P.p) != NULL) |
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| 223 | // save = p_Copy(strat->P.p, currRing); |
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| 224 | |
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| 225 | strat->initEcart(&strat->P); // remove it? |
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| 226 | |
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| 227 | if (TEST_OPT_PROT) |
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| 228 | message((strat->honey ? strat->P.ecart : 0) + strat->P.pFDeg(), &olddeg,&reduc,strat, red_result); |
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| 229 | |
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| 230 | // reduction of the element chosen from L wrt S |
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| 231 | strat->red(&strat->P,strat); |
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| 232 | |
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| 233 | if(strat->P.IsNull()) continue; |
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| 234 | |
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| 235 | addLObject(strat->P, strat); |
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| 236 | |
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| 237 | const poly save = strat->P.p; |
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| 238 | |
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| 239 | #ifdef PDEBUG |
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| 240 | p_Test(save, currRing); |
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| 241 | #endif |
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| 242 | assume( save != NULL ); |
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| 243 | |
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| 244 | // SCA Specials: |
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| 245 | |
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| 246 | { |
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| 247 | const poly p_next = pNext(save); |
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| 248 | |
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| 249 | if( p_next != NULL ) |
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| 250 | for( unsigned int i = m_iFirstAltVar; i <= m_iLastAltVar; i++ ) |
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| 251 | if( p_GetExp(save, i, currRing) != 0 ) |
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| 252 | { |
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| 253 | assume(p_GetExp(save, i, currRing) == 1); |
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| 254 | |
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| 255 | const poly tt = sca_pp_Mult_xi_pp(i, p_next, currRing); |
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| 256 | |
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| 257 | #ifdef PDEBUG |
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| 258 | p_Test(tt, currRing); |
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| 259 | #endif |
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| 260 | |
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| 261 | if( tt == NULL) continue; |
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| 262 | |
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| 263 | LObject h(tt); // h = x_i * P |
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| 264 | |
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| 265 | if (TEST_OPT_INTSTRATEGY) |
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| 266 | { |
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[df63e69] | 267 | h.pCleardenom(); // also removes Content |
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[c7aad0] | 268 | } |
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| 269 | else |
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| 270 | { |
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| 271 | h.pNorm(); |
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| 272 | } |
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| 273 | |
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| 274 | strat->initEcart(&h); |
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| 275 | |
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| 276 | |
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| 277 | // if (pOrdSgn==-1) |
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| 278 | // { |
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| 279 | // cancelunit(&h); // tries to cancel a unit |
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| 280 | // deleteHC(&h, strat); |
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| 281 | // } |
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| 282 | |
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| 283 | // if(h.IsNull()) continue; |
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| 284 | |
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| 285 | // if (TEST_OPT_PROT) |
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| 286 | // message((strat->honey ? h.ecart : 0) + h.pFDeg(), &olddeg, &reduc, strat, red_result); |
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| 287 | |
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| 288 | // strat->red(&h, strat); // wrt S |
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| 289 | // if(h.IsNull()) continue; |
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| 290 | |
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| 291 | // poly save = p_Copy(h.p, currRing); |
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| 292 | |
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| 293 | int pos; |
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| 294 | |
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| 295 | if (strat->Ll==-1) |
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| 296 | pos =0; |
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| 297 | else |
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| 298 | pos = strat->posInL(strat->L,strat->Ll,&h,strat); |
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| 299 | |
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| 300 | h.sev = pGetShortExpVector(h.p); |
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| 301 | enterL(&strat->L,&strat->Ll,&strat->Lmax,h,pos); |
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| 302 | |
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| 303 | // h.p = save; |
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| 304 | // addLObject(h, strat); |
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| 305 | } |
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| 306 | |
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| 307 | // p_Delete( &save, currRing ); |
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| 308 | } |
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| 309 | |
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| 310 | |
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| 311 | } // for(;;) |
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| 312 | |
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| 313 | |
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| 314 | #ifdef KDEBUG |
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| 315 | if (TEST_OPT_DEBUG) messageSets(strat); |
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| 316 | #endif |
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| 317 | |
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| 318 | if (TEST_OPT_REDSB){ |
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| 319 | completeReduce(strat); // ??? |
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| 320 | } |
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| 321 | |
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| 322 | // release temp data-------------------------------- |
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| 323 | exitBuchMora(strat); |
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| 324 | |
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[64f0ca] | 325 | // if (TEST_OPT_WEIGHTM) |
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| 326 | // { |
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| 327 | // pRestoreDegProcs(currRing,pFDegOld, pLDegOld); |
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| 328 | // if (ecartWeights) |
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| 329 | // { |
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| 330 | // omFreeSize((ADDRESS)ecartWeights,(rVar(currRing)+1)*sizeof(int)); |
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| 331 | // ecartWeights=NULL; |
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| 332 | // } |
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| 333 | // } |
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[c7aad0] | 334 | |
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[930ea8] | 335 | if (TEST_OPT_PROT) messageStat(hilbcount,strat); |
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[c7aad0] | 336 | |
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| 337 | if (tempQ!=NULL) updateResult(strat->Shdl,tempQ,strat); |
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| 338 | |
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| 339 | id_Delete(&tempF, currRing); |
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| 340 | |
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| 341 | |
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| 342 | // complete reduction of the standard basis--------- |
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| 343 | if (TEST_OPT_REDSB){ |
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| 344 | ideal I = strat->Shdl; |
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| 345 | ideal erg = kInterRedOld(I,tempQ); |
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| 346 | assume(I!=erg); |
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| 347 | id_Delete(&I, currRing); |
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| 348 | strat->Shdl = erg; |
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| 349 | } |
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| 350 | |
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| 351 | |
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| 352 | #if MYTEST |
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| 353 | // PrintS("</sca_gr_bba>\n"); |
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| 354 | #endif |
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| 355 | |
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[64f0ca] | 356 | if( currRing != save ) rChangeCurrRing(save); |
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[a9c298] | 357 | |
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[c7aad0] | 358 | return (strat->Shdl); |
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| 359 | } |
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| 360 | |
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| 361 | |
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| 362 | |
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| 363 | /////////////////////////////////////////////////////////////////////////////////////// |
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| 364 | //************* SCA BBA *************************************************************// |
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| 365 | /////////////////////////////////////////////////////////////////////////////////////// |
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| 366 | |
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| 367 | // Under development!!! |
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[7203f7] | 368 | ideal k_sca_bba (const ideal F, const ideal Q, const intvec */*w*/, const intvec * /*hilb*/, kStrategy strat, const ring _currRing) |
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[c7aad0] | 369 | { |
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[64f0ca] | 370 | const ring save = currRing; |
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| 371 | if( currRing != _currRing ) rChangeCurrRing(_currRing); |
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| 372 | assume( currRing == _currRing ); |
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| 373 | |
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[c7aad0] | 374 | #if MYTEST |
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| 375 | PrintS("\n\n<sca_bba>\n\n"); |
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| 376 | #endif |
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| 377 | |
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| 378 | assume(rIsSCA(currRing)); |
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| 379 | |
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[7fe9e13] | 380 | #ifndef SING_NDEBUG |
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[c7aad0] | 381 | idTest(F); |
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| 382 | idTest(Q); |
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| 383 | #endif |
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| 384 | |
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| 385 | #if MYTEST |
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| 386 | PrintS("\ncurrRing: \n"); |
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| 387 | rWrite(currRing); |
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| 388 | #ifdef RDEBUG |
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| 389 | // rDebugPrint(currRing); |
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| 390 | #endif |
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| 391 | |
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| 392 | PrintS("\n\nF: \n"); |
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| 393 | idPrint(F); |
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| 394 | PrintS("\n\nQ: \n"); |
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| 395 | idPrint(Q); |
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| 396 | |
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| 397 | PrintLn(); |
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| 398 | #endif |
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| 399 | |
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| 400 | |
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| 401 | const unsigned int m_iFirstAltVar = scaFirstAltVar(currRing); |
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| 402 | const unsigned int m_iLastAltVar = scaLastAltVar(currRing); |
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| 403 | |
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| 404 | ideal tempF = id_KillSquares(F, m_iFirstAltVar, m_iLastAltVar, currRing); |
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| 405 | |
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| 406 | ideal tempQ = Q; |
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| 407 | |
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[ac00e2f] | 408 | if(Q == currRing->qideal) |
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[c7aad0] | 409 | tempQ = SCAQuotient(currRing); |
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| 410 | |
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| 411 | // Q or tempQ will not be used below :((( |
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| 412 | |
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| 413 | |
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| 414 | #if MYTEST |
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| 415 | |
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| 416 | PrintS("tempF: \n"); |
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| 417 | idPrint(tempF); |
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| 418 | PrintS("tempQ: \n"); |
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| 419 | idPrint(tempQ); |
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| 420 | #endif |
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| 421 | |
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| 422 | strat->z2homog = id_IsSCAHomogeneous(tempF, NULL, NULL, currRing); // wCx == wCy == NULL! |
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| 423 | // redo no_prod_crit: |
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| 424 | const BOOLEAN bIsSCA = rIsSCA(currRing) && strat->z2homog; // for Z_2 prod-crit |
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| 425 | strat->no_prod_crit = ! bIsSCA; |
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| 426 | |
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| 427 | // strat->homog = strat->homog && strat->z2homog; // ? |
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| 428 | |
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[930ea8] | 429 | int red_result = 1; |
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[c7aad0] | 430 | int olddeg, reduc; |
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| 431 | |
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| 432 | // int hilbeledeg = 1, minimcnt = 0; |
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| 433 | int hilbcount = 0; |
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| 434 | |
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| 435 | BOOLEAN withT = FALSE; |
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| 436 | |
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| 437 | initBuchMoraCrit(strat); // sets Gebauer, honey, sugarCrit // sca - ok??? |
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| 438 | initBuchMoraPos(strat); // sets strat->posInL, strat->posInT // check!! (Plural's: ) |
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| 439 | |
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| 440 | // initHilbCrit(F, Q, &hilb, strat); |
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| 441 | |
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| 442 | // nc_gr_initBba(F,strat); |
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[4cc32b2] | 443 | initBba(strat); // set enterS, red, initEcart, initEcartPair |
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[c7aad0] | 444 | |
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| 445 | // set enterS, spSpolyShort, reduce, red, initEcart, initEcartPair |
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| 446 | // ?? set spSpolyShort, reduce ??? |
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| 447 | initBuchMora(tempF, tempQ, strat); // tempQ = Q without squares!!! |
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| 448 | |
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| 449 | // if (strat->minim>0) strat->M = idInit(IDELEMS(F),F->rank); |
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| 450 | |
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[930ea8] | 451 | reduc = olddeg = 0; |
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[c7aad0] | 452 | |
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| 453 | #define NO_BUCKETS |
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| 454 | |
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| 455 | #ifndef NO_BUCKETS |
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| 456 | if (!TEST_OPT_NOT_BUCKETS) |
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| 457 | strat->use_buckets = 1; |
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| 458 | #endif |
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| 459 | |
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| 460 | // redtailBBa against T for inhomogenous input |
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| 461 | if (!TEST_OPT_OLDSTD) |
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| 462 | withT = ! strat->homog; |
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| 463 | |
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| 464 | // strat->posInT = posInT_pLength; |
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[eb55f8a] | 465 | kTest_TS(strat); |
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[c7aad0] | 466 | |
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| 467 | #undef HAVE_TAIL_RING |
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| 468 | |
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| 469 | #ifdef HAVE_TAIL_RING |
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| 470 | if(!idIs0(F) &&(!rField_is_Ring())) // create strong gcd poly computes with tailring and S[i] ->to be fixed |
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| 471 | kStratInitChangeTailRing(strat); |
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| 472 | #endif |
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| 473 | if (BVERBOSE(23)) |
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| 474 | { |
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| 475 | if (test_PosInT!=NULL) strat->posInT=test_PosInT; |
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| 476 | if (test_PosInL!=NULL) strat->posInL=test_PosInL; |
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| 477 | kDebugPrint(strat); |
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| 478 | } |
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[a9c298] | 479 | |
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[c7aad0] | 480 | |
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| 481 | /////////////////////////////////////////////////////////////// |
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| 482 | // SCA: |
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| 483 | |
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| 484 | // due to std( SB, p). |
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| 485 | // Note that after initBuchMora :: initSSpecial all these additional |
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| 486 | // elements are in S and T (and some pairs are in L, which also has no initiall |
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| 487 | // elements!!!) |
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| 488 | if(TEST_OPT_SB_1) |
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| 489 | { |
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| 490 | // For all additional elements... |
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| 491 | for (int iNewElement = strat->newIdeal; iNewElement < IDELEMS(tempF); iNewElement++) |
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| 492 | { |
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| 493 | const poly pSave = tempF->m[iNewElement]; |
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| 494 | |
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| 495 | if( pSave != NULL ) |
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| 496 | { |
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| 497 | // tempF->m[iNewElement] = NULL; |
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| 498 | |
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| 499 | const poly p_next = pNext(pSave); |
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| 500 | |
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| 501 | if(p_next != NULL) |
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| 502 | for( unsigned int i = m_iFirstAltVar; i <= m_iLastAltVar; i++ ) |
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| 503 | if( p_GetExp(pSave, i, currRing) != 0 ) |
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| 504 | { |
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| 505 | assume(p_GetExp(pSave, i, currRing) == 1); |
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| 506 | |
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| 507 | const poly p_new = sca_pp_Mult_xi_pp(i, p_next, currRing); |
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| 508 | |
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| 509 | #ifdef PDEBUG |
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| 510 | p_Test(p_new, currRing); |
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| 511 | #endif |
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| 512 | |
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| 513 | if( p_new == NULL) continue; |
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| 514 | |
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| 515 | LObject h(p_new); // h = x_i * strat->P |
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| 516 | h.is_special = TRUE; |
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| 517 | |
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| 518 | if (TEST_OPT_INTSTRATEGY) |
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[df63e69] | 519 | h.pCleardenom(); // also removes Content |
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[c7aad0] | 520 | else |
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| 521 | h.pNorm(); |
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| 522 | |
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| 523 | strat->initEcart(&h); |
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| 524 | h.sev = pGetShortExpVector(h.p); |
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| 525 | |
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| 526 | int pos = 0; |
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| 527 | |
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| 528 | if (strat->Ll != -1) |
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| 529 | pos = strat->posInL(strat->L,strat->Ll,&h,strat); |
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| 530 | |
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| 531 | enterL(&strat->L,&strat->Ll,&strat->Lmax,h,pos); |
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| 532 | } |
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| 533 | } |
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| 534 | } |
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| 535 | } |
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| 536 | |
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| 537 | // compute------------------------------------------------------- |
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| 538 | while (strat->Ll >= 0) |
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| 539 | { |
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| 540 | #ifdef KDEBUG |
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| 541 | if (TEST_OPT_DEBUG) messageSets(strat); |
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| 542 | #endif |
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| 543 | |
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| 544 | if (strat->Ll== 0) strat->interpt=TRUE; |
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| 545 | |
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| 546 | if (TEST_OPT_DEGBOUND |
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[64f0ca] | 547 | && ((strat->honey && (strat->L[strat->Ll].ecart+currRing->pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)) |
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| 548 | || ((!strat->honey) && (currRing->pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)))) |
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[c7aad0] | 549 | { |
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| 550 | |
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| 551 | #ifdef KDEBUG |
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| 552 | // if (TEST_OPT_DEBUG){PrintS("^^^^?");} |
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| 553 | #endif |
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| 554 | |
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| 555 | // *stops computation if |
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| 556 | // * 24 IN test and the degree +ecart of L[strat->Ll] is bigger then |
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| 557 | // *a predefined number Kstd1_deg |
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| 558 | while ((strat->Ll >= 0) |
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| 559 | && ( (strat->homog==isHomog) || strat->L[strat->Ll].is_special || ((strat->L[strat->Ll].p1!=NULL) && (strat->L[strat->Ll].p2!=NULL)) ) |
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[64f0ca] | 560 | && ((strat->honey && (strat->L[strat->Ll].ecart+currRing->pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg)) |
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| 561 | || ((!strat->honey) && (currRing->pFDeg(strat->L[strat->Ll].p,currRing)>Kstd1_deg))) |
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[c7aad0] | 562 | ) |
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| 563 | { |
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| 564 | #ifdef KDEBUG |
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| 565 | // if (TEST_OPT_DEBUG){PrintS("^^^^^^^^^^^^!!!!");} |
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| 566 | #endif |
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| 567 | deleteInL(strat->L,&strat->Ll,strat->Ll,strat); |
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| 568 | // if (TEST_OPT_PROT) PrintS("^!"); |
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| 569 | } |
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| 570 | if (strat->Ll<0) break; |
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| 571 | else strat->noClearS=TRUE; |
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| 572 | } |
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| 573 | |
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| 574 | // picks the last element from the lazyset L |
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| 575 | strat->P = strat->L[strat->Ll]; |
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| 576 | strat->Ll--; |
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| 577 | |
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| 578 | |
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| 579 | // assume(pNext(strat->P.p) != strat->tail); |
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| 580 | |
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| 581 | if(strat->P.IsNull()) continue; |
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| 582 | |
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| 583 | if (pNext(strat->P.p) == strat->tail) |
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| 584 | { |
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| 585 | // deletes the short spoly |
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| 586 | pLmFree(strat->P.p); |
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| 587 | |
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| 588 | strat->P.p = nc_CreateSpoly(strat->P.p1, strat->P.p2, currRing); |
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| 589 | if (strat->P.p!=NULL) strat->initEcart(&strat->P); |
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| 590 | }// else |
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| 591 | |
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| 592 | |
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| 593 | if(strat->P.IsNull()) continue; |
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| 594 | |
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| 595 | if (strat->P.p1 == NULL) |
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| 596 | { |
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| 597 | // if (strat->minim > 0) |
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| 598 | // strat->P.p2=p_Copy(strat->P.p, currRing, strat->tailRing); |
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| 599 | |
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| 600 | |
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| 601 | // for input polys, prepare reduction |
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| 602 | strat->P.PrepareRed(strat->use_buckets); |
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| 603 | } |
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| 604 | |
---|
| 605 | if (TEST_OPT_PROT) |
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| 606 | message((strat->honey ? strat->P.ecart : 0) + strat->P.pFDeg(), |
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| 607 | &olddeg,&reduc,strat, red_result); |
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| 608 | |
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[88615db] | 609 | // reduction of the element chosen from L |
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[c7aad0] | 610 | red_result = strat->red(&strat->P,strat); |
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| 611 | |
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| 612 | |
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| 613 | // reduction to non-zero new poly |
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| 614 | if (red_result == 1) |
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| 615 | { |
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| 616 | // statistic |
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| 617 | if (TEST_OPT_PROT) PrintS("s"); |
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| 618 | |
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| 619 | // get the polynomial (canonicalize bucket, make sure P.p is set) |
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| 620 | strat->P.GetP(strat->lmBin); |
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| 621 | |
---|
| 622 | int pos = posInS(strat,strat->sl,strat->P.p,strat->P.ecart); |
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| 623 | |
---|
| 624 | // reduce the tail and normalize poly |
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| 625 | if (TEST_OPT_INTSTRATEGY) |
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| 626 | { |
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| 627 | strat->P.pCleardenom(); |
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| 628 | if ((TEST_OPT_REDSB)||(TEST_OPT_REDTAIL)) |
---|
| 629 | { |
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| 630 | strat->P.p = redtailBba(&(strat->P),pos-1,strat, withT); // !!! |
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| 631 | strat->P.pCleardenom(); |
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| 632 | } |
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| 633 | } |
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| 634 | else |
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| 635 | { |
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| 636 | strat->P.pNorm(); |
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| 637 | if ((TEST_OPT_REDSB)||(TEST_OPT_REDTAIL)) |
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| 638 | strat->P.p = redtailBba(&(strat->P),pos-1,strat, withT); |
---|
| 639 | } |
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| 640 | strat->P.is_normalized=nIsOne(pGetCoeff(strat->P.p)); |
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| 641 | |
---|
| 642 | #ifdef KDEBUG |
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| 643 | if (TEST_OPT_DEBUG){PrintS(" ns:");p_wrp(strat->P.p,currRing);PrintLn();} |
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| 644 | #endif |
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| 645 | |
---|
| 646 | // // min_std stuff |
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| 647 | // if ((strat->P.p1==NULL) && (strat->minim>0)) |
---|
| 648 | // { |
---|
| 649 | // if (strat->minim==1) |
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| 650 | // { |
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| 651 | // strat->M->m[minimcnt]=p_Copy(strat->P.p,currRing,strat->tailRing); |
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| 652 | // p_Delete(&strat->P.p2, currRing, strat->tailRing); |
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| 653 | // } |
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| 654 | // else |
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| 655 | // { |
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| 656 | // strat->M->m[minimcnt]=strat->P.p2; |
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| 657 | // strat->P.p2=NULL; |
---|
| 658 | // } |
---|
| 659 | // if (strat->tailRing!=currRing && pNext(strat->M->m[minimcnt])!=NULL) |
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| 660 | // pNext(strat->M->m[minimcnt]) |
---|
| 661 | // = strat->p_shallow_copy_delete(pNext(strat->M->m[minimcnt]), |
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| 662 | // strat->tailRing, currRing, |
---|
| 663 | // currRing->PolyBin); |
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| 664 | // minimcnt++; |
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| 665 | // } |
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| 666 | |
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| 667 | // enter into S, L, and T |
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| 668 | //if(withT) |
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[8968c17] | 669 | { |
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| 670 | strat->P.SetpFDeg(); |
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[c7aad0] | 671 | enterT(strat->P, strat); |
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[8968c17] | 672 | } |
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[c7aad0] | 673 | |
---|
| 674 | // L |
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[b5a454] | 675 | enterpairs(strat->P.p,strat->sl,strat->P.ecart,pos,strat, strat->tl); |
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[c7aad0] | 676 | |
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| 677 | // posInS only depends on the leading term |
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[b5a454] | 678 | strat->enterS(strat->P, pos, strat, strat->tl); |
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[c7aad0] | 679 | |
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| 680 | // if (hilb!=NULL) khCheck(Q,w,hilb,hilbeledeg,hilbcount,strat); |
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| 681 | |
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| 682 | // Print("[%d]",hilbeledeg); |
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[3e5610] | 683 | kDeleteLcm(&strat->P); |
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[c7aad0] | 684 | |
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| 685 | // ////////////////////////////////////////////////////////// |
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| 686 | // SCA: |
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| 687 | const poly pSave = strat->P.p; |
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| 688 | const poly p_next = pNext(pSave); |
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| 689 | |
---|
| 690 | // if(0) |
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| 691 | if( p_next != NULL ) |
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| 692 | for( unsigned int i = m_iFirstAltVar; i <= m_iLastAltVar; i++ ) |
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| 693 | if( p_GetExp(pSave, i, currRing) != 0 ) |
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| 694 | { |
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| 695 | assume(p_GetExp(pSave, i, currRing) == 1); |
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| 696 | const poly p_new = sca_pp_Mult_xi_pp(i, p_next, currRing); |
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| 697 | |
---|
| 698 | #ifdef PDEBUG |
---|
| 699 | p_Test(p_new, currRing); |
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| 700 | #endif |
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| 701 | |
---|
| 702 | if( p_new == NULL) continue; |
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| 703 | |
---|
| 704 | LObject h(p_new); // h = x_i * strat->P |
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| 705 | |
---|
| 706 | h.is_special = TRUE; |
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| 707 | |
---|
| 708 | if (TEST_OPT_INTSTRATEGY) |
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| 709 | { |
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[df63e69] | 710 | h.pCleardenom(); // also removes Content |
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[c7aad0] | 711 | } |
---|
| 712 | else |
---|
| 713 | { |
---|
| 714 | h.pNorm(); |
---|
| 715 | } |
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| 716 | |
---|
| 717 | strat->initEcart(&h); |
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| 718 | h.sev = pGetShortExpVector(h.p); |
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| 719 | |
---|
| 720 | int pos = 0; |
---|
| 721 | |
---|
| 722 | if (strat->Ll != -1) |
---|
| 723 | pos = strat->posInL(strat->L,strat->Ll,&h,strat); |
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| 724 | |
---|
| 725 | enterL(&strat->L,&strat->Ll,&strat->Lmax,h,pos); |
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| 726 | |
---|
[a9c298] | 727 | |
---|
| 728 | |
---|
| 729 | |
---|
| 730 | #if 0 |
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[c7aad0] | 731 | h.sev = pGetShortExpVector(h.p); |
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| 732 | strat->initEcart(&h); |
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| 733 | |
---|
| 734 | h.PrepareRed(strat->use_buckets); |
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| 735 | |
---|
[88615db] | 736 | // reduction of the element chosen from L(?) |
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[c7aad0] | 737 | red_result = strat->red(&h,strat); |
---|
| 738 | |
---|
| 739 | // reduction to non-zero new poly |
---|
| 740 | if (red_result != 1) continue; |
---|
| 741 | |
---|
| 742 | |
---|
| 743 | int pos = posInS(strat,strat->sl,h.p,h.ecart); |
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| 744 | |
---|
| 745 | // reduce the tail and normalize poly |
---|
| 746 | if (TEST_OPT_INTSTRATEGY) |
---|
| 747 | { |
---|
| 748 | h.pCleardenom(); |
---|
| 749 | if ((TEST_OPT_REDSB)||(TEST_OPT_REDTAIL)) |
---|
| 750 | { |
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| 751 | h.p = redtailBba(&(h),pos-1,strat, withT); // !!! |
---|
| 752 | h.pCleardenom(); |
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| 753 | } |
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| 754 | } |
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| 755 | else |
---|
| 756 | { |
---|
| 757 | h.pNorm(); |
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| 758 | if ((TEST_OPT_REDSB)||(TEST_OPT_REDTAIL)) |
---|
| 759 | h.p = redtailBba(&(h),pos-1,strat, withT); |
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| 760 | } |
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| 761 | |
---|
| 762 | #ifdef KDEBUG |
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| 763 | if (TEST_OPT_DEBUG){PrintS(" N:");h.wrp();PrintLn();} |
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| 764 | #endif |
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| 765 | |
---|
| 766 | // h.PrepareRed(strat->use_buckets); // ??? |
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| 767 | |
---|
| 768 | h.sev = pGetShortExpVector(h.p); |
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| 769 | strat->initEcart(&h); |
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| 770 | |
---|
| 771 | if (strat->Ll==-1) |
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| 772 | pos = 0; |
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| 773 | else |
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| 774 | pos = strat->posInL(strat->L,strat->Ll,&h,strat); |
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| 775 | |
---|
| 776 | enterL(&strat->L,&strat->Ll,&strat->Lmax,h,pos); |
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[a9c298] | 777 | // the end of "#if 0" (comment) |
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| 778 | #endif |
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[c7aad0] | 779 | |
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| 780 | } // for all x_i \in Ann(lm(P)) |
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| 781 | } // if red(P) != NULL |
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| 782 | |
---|
| 783 | // else if (strat->P.p1 == NULL && strat->minim > 0) |
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| 784 | // { |
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| 785 | // p_Delete(&strat->P.p2, currRing, strat->tailRing); |
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| 786 | // } |
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| 787 | |
---|
| 788 | #ifdef KDEBUG |
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| 789 | // memset(&(strat->P), 0, sizeof(strat->P)); |
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| 790 | #endif |
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| 791 | |
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[eb55f8a] | 792 | kTest_TS(strat); // even of T is not used! |
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[c7aad0] | 793 | |
---|
| 794 | // Print("\n$\n"); |
---|
| 795 | |
---|
| 796 | } |
---|
| 797 | |
---|
| 798 | #ifdef KDEBUG |
---|
| 799 | if (TEST_OPT_DEBUG) messageSets(strat); |
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| 800 | #endif |
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| 801 | |
---|
| 802 | // complete reduction of the standard basis--------- |
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| 803 | |
---|
| 804 | if (TEST_OPT_REDSB) |
---|
| 805 | { |
---|
| 806 | completeReduce(strat); |
---|
| 807 | } |
---|
| 808 | |
---|
| 809 | //release temp data-------------------------------- |
---|
| 810 | |
---|
| 811 | exitBuchMora(strat); // cleanT! |
---|
| 812 | |
---|
| 813 | id_Delete(&tempF, currRing); |
---|
| 814 | |
---|
[64f0ca] | 815 | // if (TEST_OPT_WEIGHTM) |
---|
| 816 | // { |
---|
| 817 | // pRestoreDegProcs(currRing, pFDegOld, pLDegOld); |
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| 818 | // if (ecartWeights) |
---|
| 819 | // { |
---|
| 820 | // omFreeSize((ADDRESS)ecartWeights,(rVar(currRing)+1)*sizeof(short)); |
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| 821 | // ecartWeights=NULL; |
---|
| 822 | // } |
---|
| 823 | // } |
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[c7aad0] | 824 | |
---|
[930ea8] | 825 | if (TEST_OPT_PROT) messageStat(hilbcount,strat); |
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[c7aad0] | 826 | |
---|
| 827 | |
---|
| 828 | |
---|
| 829 | if (tempQ!=NULL) updateResult(strat->Shdl,tempQ,strat); |
---|
| 830 | |
---|
| 831 | |
---|
| 832 | if (TEST_OPT_REDSB) // ??? |
---|
| 833 | { |
---|
| 834 | // must be at the very end (after exitBuchMora) as it changes the S set!!! |
---|
| 835 | ideal I = strat->Shdl; |
---|
| 836 | ideal erg = kInterRedOld(I,tempQ); |
---|
| 837 | assume(I!=erg); |
---|
| 838 | id_Delete(&I, currRing); |
---|
| 839 | strat->Shdl = erg; |
---|
| 840 | } |
---|
| 841 | |
---|
| 842 | #if MYTEST |
---|
| 843 | PrintS("\n\n</sca_bba>\n\n"); |
---|
| 844 | #endif |
---|
| 845 | |
---|
[64f0ca] | 846 | if( currRing != save ) rChangeCurrRing(save); |
---|
[a9c298] | 847 | |
---|
[c7aad0] | 848 | return (strat->Shdl); |
---|
| 849 | } |
---|
| 850 | |
---|
| 851 | // ////////////////////////////////////////////////////////////////////////////// |
---|
| 852 | // sca mora... |
---|
| 853 | |
---|
| 854 | // returns TRUE if mora should use buckets, false otherwise |
---|
[2e4ec14] | 855 | #ifdef MORA_USE_BUCKETS |
---|
[c7aad0] | 856 | static BOOLEAN kMoraUseBucket(kStrategy strat) |
---|
[2e4ec14] | 857 | #else |
---|
| 858 | static BOOLEAN kMoraUseBucket(kStrategy) |
---|
| 859 | #endif |
---|
[c7aad0] | 860 | { |
---|
| 861 | #ifdef MORA_USE_BUCKETS |
---|
| 862 | if (TEST_OPT_NOT_BUCKETS) |
---|
| 863 | return FALSE; |
---|
| 864 | if (strat->red == redFirst) |
---|
| 865 | { |
---|
| 866 | #ifdef NO_LDEG |
---|
| 867 | if (!strat->syzComp) |
---|
| 868 | return TRUE; |
---|
| 869 | #else |
---|
| 870 | if ((strat->homog || strat->honey) && !strat->syzComp) |
---|
| 871 | return TRUE; |
---|
| 872 | #endif |
---|
| 873 | } |
---|
| 874 | else |
---|
| 875 | { |
---|
| 876 | assume(strat->red == redEcart); |
---|
| 877 | if (strat->honey && !strat->syzComp) |
---|
| 878 | return TRUE; |
---|
| 879 | } |
---|
| 880 | #endif |
---|
| 881 | return FALSE; |
---|
| 882 | } |
---|
| 883 | |
---|
| 884 | // ideal sca_mora (ideal F, ideal Q, intvec *w, intvec *, kStrategy strat) |
---|
[7203f7] | 885 | ideal k_sca_mora(const ideal F, const ideal Q, const intvec */*w*/, const intvec *, kStrategy strat, const ring _currRing) |
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[c7aad0] | 886 | { |
---|
[64f0ca] | 887 | const ring save = currRing; |
---|
| 888 | if( currRing != _currRing ) rChangeCurrRing(_currRing); |
---|
| 889 | assume( currRing == _currRing ); |
---|
| 890 | |
---|
[c7aad0] | 891 | assume(rIsSCA(currRing)); |
---|
| 892 | |
---|
| 893 | const unsigned int m_iFirstAltVar = scaFirstAltVar(currRing); |
---|
| 894 | const unsigned int m_iLastAltVar = scaLastAltVar(currRing); |
---|
| 895 | |
---|
| 896 | ideal tempF = id_KillSquares(F, m_iFirstAltVar, m_iLastAltVar, currRing); |
---|
| 897 | |
---|
| 898 | ideal tempQ = Q; |
---|
| 899 | |
---|
[ac00e2f] | 900 | if(Q == currRing->qideal) |
---|
[c7aad0] | 901 | tempQ = SCAQuotient(currRing); |
---|
| 902 | |
---|
| 903 | bool bIdHomog = id_IsSCAHomogeneous(tempF, NULL, NULL, currRing); // wCx == wCy == NULL! |
---|
| 904 | |
---|
| 905 | assume( !bIdHomog || strat->homog ); // bIdHomog =====[implies]>>>>> strat->homog |
---|
| 906 | |
---|
| 907 | strat->homog = strat->homog && bIdHomog; |
---|
| 908 | |
---|
| 909 | #ifdef PDEBUG |
---|
| 910 | assume( strat->homog == bIdHomog ); |
---|
[a9c298] | 911 | #endif |
---|
[c7aad0] | 912 | |
---|
| 913 | strat->update = TRUE; |
---|
| 914 | //- setting global variables ------------------- - |
---|
| 915 | initBuchMoraCrit(strat); |
---|
| 916 | // initHilbCrit(F,NULL,&hilb,strat); // no Q! |
---|
| 917 | initMora(tempF, strat); |
---|
| 918 | initBuchMoraPos(strat); |
---|
| 919 | //Shdl= |
---|
| 920 | initBuchMora(tempF, tempQ, strat); // temp Q, F! |
---|
| 921 | // if (TEST_OPT_FASTHC) missingAxis(&strat->lastAxis,strat); |
---|
| 922 | // updateS in initBuchMora has Hecketest |
---|
| 923 | // * and could have put strat->kHEdgdeFound FALSE |
---|
| 924 | #if 0 |
---|
| 925 | if (ppNoether!=NULL) |
---|
| 926 | { |
---|
| 927 | strat->kHEdgeFound = TRUE; |
---|
| 928 | } |
---|
| 929 | if (strat->kHEdgeFound && strat->update) |
---|
| 930 | { |
---|
| 931 | firstUpdate(strat); |
---|
| 932 | updateLHC(strat); |
---|
| 933 | reorderL(strat); |
---|
| 934 | } |
---|
| 935 | if (TEST_OPT_FASTHC && (strat->lastAxis) && strat->posInLOldFlag) |
---|
| 936 | { |
---|
| 937 | strat->posInLOld = strat->posInL; |
---|
| 938 | strat->posInLOldFlag = FALSE; |
---|
| 939 | strat->posInL = posInL10; |
---|
| 940 | updateL(strat); |
---|
| 941 | reorderL(strat); |
---|
| 942 | } |
---|
| 943 | #endif |
---|
| 944 | strat->use_buckets = kMoraUseBucket(strat); |
---|
| 945 | |
---|
[eb55f8a] | 946 | kTest_TS(strat); |
---|
[c7aad0] | 947 | |
---|
| 948 | |
---|
| 949 | int olddeg = 0; |
---|
| 950 | int reduc = 0; |
---|
| 951 | int red_result = 1; |
---|
| 952 | // int hilbeledeg=1; |
---|
| 953 | int hilbcount=0; |
---|
| 954 | |
---|
| 955 | |
---|
| 956 | //- compute------------------------------------------- |
---|
| 957 | |
---|
| 958 | #undef HAVE_TAIL_RING |
---|
| 959 | |
---|
| 960 | #ifdef HAVE_TAIL_RING |
---|
| 961 | // if (strat->homog && strat->red == redFirst) |
---|
| 962 | // kStratInitChangeTailRing(strat); |
---|
| 963 | #endif |
---|
| 964 | |
---|
| 965 | |
---|
| 966 | |
---|
| 967 | |
---|
| 968 | |
---|
| 969 | // due to std( SB, p) |
---|
| 970 | if(TEST_OPT_SB_1) |
---|
| 971 | { |
---|
| 972 | for (int iNewElement = strat->newIdeal; iNewElement < IDELEMS(tempF); iNewElement++) |
---|
| 973 | { |
---|
| 974 | |
---|
| 975 | const poly pSave = tempF->m[iNewElement]; |
---|
| 976 | |
---|
| 977 | if( pSave != NULL ) |
---|
| 978 | { |
---|
| 979 | // tempF->m[iNewElement] = NULL; |
---|
| 980 | |
---|
| 981 | const poly p_next = pNext(pSave); |
---|
| 982 | |
---|
| 983 | if(p_next != NULL) |
---|
| 984 | for( unsigned int i = m_iFirstAltVar; i <= m_iLastAltVar; i++ ) |
---|
| 985 | if( p_GetExp(pSave, i, currRing) != 0 ) |
---|
| 986 | { |
---|
| 987 | |
---|
| 988 | assume(p_GetExp(pSave, i, currRing) == 1); |
---|
| 989 | |
---|
| 990 | const poly p_new = sca_pp_Mult_xi_pp(i, p_next, currRing); |
---|
| 991 | |
---|
| 992 | #ifdef PDEBUG |
---|
| 993 | p_Test(p_new, currRing); |
---|
| 994 | #endif |
---|
| 995 | |
---|
| 996 | if( p_new == NULL) continue; |
---|
| 997 | |
---|
| 998 | LObject h(p_new); // h = x_i * strat->P |
---|
| 999 | |
---|
| 1000 | if (TEST_OPT_INTSTRATEGY) |
---|
[df63e69] | 1001 | h.pCleardenom(); // also removes Content |
---|
[c7aad0] | 1002 | else |
---|
| 1003 | h.pNorm(); |
---|
| 1004 | |
---|
| 1005 | strat->initEcart(&h); |
---|
| 1006 | h.sev = pGetShortExpVector(h.p); |
---|
| 1007 | |
---|
| 1008 | int pos = 0; |
---|
| 1009 | |
---|
| 1010 | if (strat->Ll != -1) |
---|
| 1011 | pos = strat->posInL(strat->L,strat->Ll,&h,strat); |
---|
| 1012 | |
---|
| 1013 | enterL(&strat->L,&strat->Ll,&strat->Lmax,h,pos); |
---|
| 1014 | } |
---|
| 1015 | } |
---|
| 1016 | |
---|
| 1017 | } |
---|
| 1018 | } |
---|
| 1019 | |
---|
| 1020 | while (strat->Ll >= 0) |
---|
| 1021 | { |
---|
| 1022 | //test_int_std(strat->kIdeal); |
---|
| 1023 | #ifdef KDEBUG |
---|
| 1024 | if (TEST_OPT_DEBUG) messageSets(strat); |
---|
| 1025 | #endif |
---|
| 1026 | if (TEST_OPT_DEGBOUND |
---|
| 1027 | && (strat->L[strat->Ll].ecart+strat->L[strat->Ll].GetpFDeg()> Kstd1_deg)) |
---|
| 1028 | { |
---|
| 1029 | // * stops computation if |
---|
| 1030 | // * - 24 (degBound) |
---|
| 1031 | // * && upper degree is bigger than Kstd1_deg |
---|
| 1032 | while ((strat->Ll >= 0) |
---|
| 1033 | && (strat->L[strat->Ll].p1!=NULL) && (strat->L[strat->Ll].p2!=NULL) |
---|
| 1034 | && (strat->L[strat->Ll].ecart+strat->L[strat->Ll].GetpFDeg()> Kstd1_deg) |
---|
| 1035 | ) |
---|
| 1036 | { |
---|
| 1037 | deleteInL(strat->L,&strat->Ll,strat->Ll,strat); |
---|
| 1038 | //if (TEST_OPT_PROT) |
---|
| 1039 | //{ |
---|
| 1040 | // PrintS("D"); mflush(); |
---|
| 1041 | //} |
---|
| 1042 | } |
---|
| 1043 | if (strat->Ll<0) break; |
---|
| 1044 | else strat->noClearS=TRUE; |
---|
| 1045 | } |
---|
| 1046 | strat->P = strat->L[strat->Ll];// - picks the last element from the lazyset L - |
---|
| 1047 | if (strat->Ll==0) strat->interpt=TRUE; |
---|
| 1048 | strat->Ll--; |
---|
| 1049 | |
---|
| 1050 | // create the real Spoly |
---|
| 1051 | // assume(pNext(strat->P.p) != strat->tail); |
---|
| 1052 | |
---|
| 1053 | if(strat->P.IsNull()) continue; |
---|
| 1054 | |
---|
| 1055 | |
---|
| 1056 | if( pNext(strat->P.p) == strat->tail ) |
---|
| 1057 | { |
---|
| 1058 | // deletes the int spoly and computes SPoly |
---|
| 1059 | pLmFree(strat->P.p); // ??? |
---|
| 1060 | strat->P.p = nc_CreateSpoly(strat->P.p1, strat->P.p2, currRing); |
---|
| 1061 | } |
---|
| 1062 | |
---|
| 1063 | |
---|
| 1064 | |
---|
| 1065 | if (strat->P.p1 == NULL) |
---|
| 1066 | { |
---|
| 1067 | // for input polys, prepare reduction (buckets !) |
---|
| 1068 | strat->P.SetLength(strat->length_pLength); |
---|
| 1069 | strat->P.PrepareRed(strat->use_buckets); |
---|
| 1070 | } |
---|
| 1071 | |
---|
| 1072 | if (!strat->P.IsNull()) |
---|
| 1073 | { |
---|
| 1074 | // might be NULL from noether !!! |
---|
| 1075 | if (TEST_OPT_PROT) |
---|
| 1076 | message(strat->P.ecart+strat->P.GetpFDeg(),&olddeg,&reduc,strat, red_result); |
---|
| 1077 | // reduce |
---|
| 1078 | red_result = strat->red(&strat->P,strat); |
---|
| 1079 | } |
---|
| 1080 | |
---|
| 1081 | if (! strat->P.IsNull()) |
---|
| 1082 | { |
---|
| 1083 | strat->P.GetP(); |
---|
| 1084 | // statistics |
---|
| 1085 | if (TEST_OPT_PROT) PrintS("s"); |
---|
| 1086 | // normalization |
---|
| 1087 | if (!TEST_OPT_INTSTRATEGY) |
---|
| 1088 | strat->P.pNorm(); |
---|
| 1089 | // tailreduction |
---|
| 1090 | strat->P.p = redtail(&(strat->P),strat->sl,strat); |
---|
| 1091 | // set ecart -- might have changed because of tail reductions |
---|
| 1092 | if ((!strat->noTailReduction) && (!strat->honey)) |
---|
| 1093 | strat->initEcart(&strat->P); |
---|
| 1094 | // cancel unit |
---|
| 1095 | cancelunit(&strat->P); |
---|
| 1096 | // for char 0, clear denominators |
---|
| 1097 | if (TEST_OPT_INTSTRATEGY) |
---|
| 1098 | strat->P.pCleardenom(); |
---|
| 1099 | |
---|
| 1100 | // put in T |
---|
| 1101 | enterT(strat->P,strat); |
---|
| 1102 | // build new pairs |
---|
[b5a454] | 1103 | enterpairs(strat->P.p,strat->sl,strat->P.ecart,0,strat, strat->tl); |
---|
[c7aad0] | 1104 | // put in S |
---|
| 1105 | strat->enterS(strat->P, |
---|
| 1106 | posInS(strat,strat->sl,strat->P.p, strat->P.ecart), |
---|
[b5a454] | 1107 | strat, strat->tl); |
---|
[c7aad0] | 1108 | |
---|
| 1109 | |
---|
| 1110 | // clear strat->P |
---|
[3e5610] | 1111 | kDeleteLcm(&strat->P); |
---|
[c7aad0] | 1112 | |
---|
| 1113 | // ////////////////////////////////////////////////////////// |
---|
| 1114 | // SCA: |
---|
| 1115 | const poly pSave = strat->P.p; |
---|
| 1116 | const poly p_next = pNext(pSave); |
---|
| 1117 | |
---|
| 1118 | if(p_next != NULL) |
---|
| 1119 | for( unsigned int i = m_iFirstAltVar; i <= m_iLastAltVar; i++ ) |
---|
| 1120 | if( p_GetExp(pSave, i, currRing) != 0 ) |
---|
| 1121 | { |
---|
| 1122 | |
---|
| 1123 | assume(p_GetExp(pSave, i, currRing) == 1); |
---|
| 1124 | |
---|
| 1125 | const poly p_new = sca_pp_Mult_xi_pp(i, p_next, currRing); |
---|
| 1126 | |
---|
| 1127 | #ifdef PDEBUG |
---|
| 1128 | p_Test(p_new, currRing); |
---|
| 1129 | #endif |
---|
| 1130 | |
---|
| 1131 | if( p_new == NULL) continue; |
---|
| 1132 | |
---|
| 1133 | LObject h(p_new); // h = x_i * strat->P |
---|
| 1134 | |
---|
| 1135 | if (TEST_OPT_INTSTRATEGY) |
---|
[df63e69] | 1136 | h.pCleardenom(); // also removes Content |
---|
[c7aad0] | 1137 | else |
---|
| 1138 | h.pNorm(); |
---|
| 1139 | |
---|
| 1140 | strat->initEcart(&h); |
---|
| 1141 | h.sev = pGetShortExpVector(h.p); |
---|
| 1142 | |
---|
| 1143 | int pos = 0; |
---|
| 1144 | |
---|
| 1145 | if (strat->Ll != -1) |
---|
| 1146 | pos = strat->posInL(strat->L,strat->Ll,&h,strat); |
---|
| 1147 | |
---|
| 1148 | enterL(&strat->L,&strat->Ll,&strat->Lmax,h,pos); |
---|
| 1149 | } |
---|
| 1150 | |
---|
| 1151 | #ifdef KDEBUG |
---|
| 1152 | // make sure kTest_TS does not complain about strat->P |
---|
| 1153 | memset(&strat->P,0,sizeof(strat->P)); |
---|
| 1154 | #endif |
---|
| 1155 | } |
---|
| 1156 | #if 0 |
---|
| 1157 | if (strat->kHEdgeFound) |
---|
| 1158 | { |
---|
| 1159 | if ((TEST_OPT_FINDET) |
---|
| 1160 | || ((TEST_OPT_MULTBOUND) && (scMult0Int((strat->Shdl)) < mu))) |
---|
| 1161 | { |
---|
| 1162 | // obachman: is this still used ??? |
---|
| 1163 | // * stops computation if strat->kHEdgeFound and |
---|
| 1164 | // * - 27 (finiteDeterminacyTest) |
---|
| 1165 | // * or |
---|
| 1166 | // * - 23 |
---|
| 1167 | // * (multBound) |
---|
| 1168 | // * && multiplicity of the ideal is smaller then a predefined number mu |
---|
| 1169 | while (strat->Ll >= 0) deleteInL(strat->L,&strat->Ll,strat->Ll,strat); |
---|
| 1170 | } |
---|
| 1171 | } |
---|
| 1172 | #endif |
---|
[eb55f8a] | 1173 | kTest_TS(strat); |
---|
[c7aad0] | 1174 | } |
---|
| 1175 | // - complete reduction of the standard basis------------------------ - |
---|
| 1176 | if (TEST_OPT_REDSB) completeReduce(strat); |
---|
| 1177 | // - release temp data------------------------------- - |
---|
| 1178 | exitBuchMora(strat); |
---|
| 1179 | // - polynomials used for HECKE: HC, noether - |
---|
| 1180 | if (TEST_OPT_FINDET) |
---|
| 1181 | { |
---|
[572022] | 1182 | if (strat->kNoether!=NULL) |
---|
| 1183 | Kstd1_mu=currRing->pFDeg(strat->kNoether,currRing); |
---|
[c7aad0] | 1184 | else |
---|
| 1185 | Kstd1_mu=-1; |
---|
| 1186 | } |
---|
[572022] | 1187 | if(strat->kNoether!=NULL) pLmFree(&strat->kNoether); |
---|
[c7aad0] | 1188 | strat->update = TRUE; //??? |
---|
| 1189 | strat->lastAxis = 0; //??? |
---|
[64f0ca] | 1190 | omFreeSize((ADDRESS)strat->NotUsedAxis,(rVar(currRing)+1)*sizeof(BOOLEAN)); |
---|
[930ea8] | 1191 | if (TEST_OPT_PROT) messageStat(hilbcount,strat); |
---|
[64f0ca] | 1192 | // if (TEST_OPT_WEIGHTM) |
---|
| 1193 | // { |
---|
| 1194 | // pRestoreDegProcs(currRing, pFDegOld, pLDegOld); |
---|
| 1195 | // if (ecartWeights) |
---|
| 1196 | // { |
---|
| 1197 | // omFreeSize((ADDRESS)ecartWeights,(rVar(currRing)+1)*sizeof(short)); |
---|
| 1198 | // ecartWeights=NULL; |
---|
| 1199 | // } |
---|
| 1200 | // } |
---|
[c7aad0] | 1201 | if (tempQ!=NULL) updateResult(strat->Shdl,tempQ,strat); |
---|
| 1202 | idTest(strat->Shdl); |
---|
| 1203 | |
---|
| 1204 | id_Delete( &tempF, currRing); |
---|
| 1205 | |
---|
[64f0ca] | 1206 | if( currRing != save ) rChangeCurrRing(save); |
---|
[a9c298] | 1207 | |
---|
[c7aad0] | 1208 | return (strat->Shdl); |
---|
| 1209 | } |
---|
| 1210 | |
---|