[0f401f] | 1 | /**************************************** |
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| 2 | * Computer Algebra System SINGULAR * |
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| 3 | ****************************************/ |
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| 4 | /* |
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| 5 | * ABSTRACT - all basic methods to manipulate ideals |
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| 6 | */ |
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| 7 | |
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| 8 | /* includes */ |
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[16f511] | 9 | #ifdef HAVE_CONFIG_H |
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[ba5e9e] | 10 | #include "singularconfig.h" |
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[16f511] | 11 | #endif /* HAVE_CONFIG_H */ |
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[e6e2198] | 12 | #include "mod2.h" |
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| 13 | |
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[f11ea16] | 14 | #include <omalloc/omalloc.h> |
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| 15 | |
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[0f401f] | 16 | #ifndef NDEBUG |
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| 17 | # define MYTEST 0 |
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| 18 | #else /* ifndef NDEBUG */ |
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[e6e2198] | 19 | # define MYTEST 0 |
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[0f401f] | 20 | #endif /* ifndef NDEBUG */ |
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| 21 | |
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| 22 | #include <omalloc/omalloc.h> |
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[e6e2198] | 23 | |
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| 24 | #include <misc/options.h> |
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| 25 | #include <misc/intvec.h> |
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| 26 | |
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[76cfef] | 27 | #include <coeffs/coeffs.h> |
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| 28 | #include <coeffs/numbers.h> |
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[e6e2198] | 29 | |
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[737a68] | 30 | #include <kernel/polys.h> |
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[210e07] | 31 | #include <polys/monomials/ring.h> |
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[76cfef] | 32 | #include <polys/matpol.h> |
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| 33 | #include <polys/weight.h> |
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[210e07] | 34 | #include <polys/sparsmat.h> |
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[76cfef] | 35 | #include <polys/prCopy.h> |
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[210e07] | 36 | #include <polys/nc/nc.h> |
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[0f401f] | 37 | |
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[1f637e] | 38 | |
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[e6e2198] | 39 | #include <kernel/ideals.h> |
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| 40 | |
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| 41 | #include <kernel/febase.h> |
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| 42 | #include <kernel/kstd1.h> |
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| 43 | #include <kernel/syz.h> |
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| 44 | |
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[a44806] | 45 | #include <libpolys/coeffs/longrat.h> |
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[e6e2198] | 46 | |
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[0f401f] | 47 | |
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| 48 | /* #define WITH_OLD_MINOR */ |
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| 49 | #define pCopy_noCheck(p) pCopy(p) |
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| 50 | |
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| 51 | /*0 implementation*/ |
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| 52 | |
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| 53 | /*2 |
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| 54 | *returns a minimized set of generators of h1 |
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| 55 | */ |
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| 56 | ideal idMinBase (ideal h1) |
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| 57 | { |
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| 58 | ideal h2, h3,h4,e; |
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| 59 | int j,k; |
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| 60 | int i,l,ll; |
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| 61 | intvec * wth; |
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| 62 | BOOLEAN homog; |
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| 63 | |
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| 64 | homog = idHomModule(h1,currQuotient,&wth); |
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[b7cfaf] | 65 | if (rHasGlobalOrdering(currRing)) |
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[0f401f] | 66 | { |
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| 67 | if(!homog) |
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| 68 | { |
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| 69 | WarnS("minbase applies only to the local or homogeneous case"); |
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| 70 | e=idCopy(h1); |
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| 71 | return e; |
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| 72 | } |
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| 73 | else |
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| 74 | { |
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| 75 | ideal re=kMin_std(h1,currQuotient,(tHomog)homog,&wth,h2,NULL,0,3); |
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| 76 | idDelete(&re); |
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| 77 | return h2; |
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| 78 | } |
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| 79 | } |
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| 80 | e=idInit(1,h1->rank); |
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| 81 | if (idIs0(h1)) |
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| 82 | { |
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| 83 | return e; |
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| 84 | } |
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| 85 | pEnlargeSet(&(e->m),IDELEMS(e),15); |
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| 86 | IDELEMS(e) = 16; |
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| 87 | h2 = kStd(h1,currQuotient,isNotHomog,NULL); |
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[b7cfaf] | 88 | h3 = idMaxIdeal(1); |
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[0f401f] | 89 | h4=idMult(h2,h3); |
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| 90 | idDelete(&h3); |
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| 91 | h3=kStd(h4,currQuotient,isNotHomog,NULL); |
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| 92 | k = IDELEMS(h3); |
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| 93 | while ((k > 0) && (h3->m[k-1] == NULL)) k--; |
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| 94 | j = -1; |
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| 95 | l = IDELEMS(h2); |
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| 96 | while ((l > 0) && (h2->m[l-1] == NULL)) l--; |
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| 97 | for (i=l-1; i>=0; i--) |
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| 98 | { |
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| 99 | if (h2->m[i] != NULL) |
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| 100 | { |
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| 101 | ll = 0; |
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| 102 | while ((ll < k) && ((h3->m[ll] == NULL) |
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| 103 | || !pDivisibleBy(h3->m[ll],h2->m[i]))) |
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| 104 | ll++; |
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| 105 | if (ll >= k) |
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| 106 | { |
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| 107 | j++; |
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| 108 | if (j > IDELEMS(e)-1) |
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| 109 | { |
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| 110 | pEnlargeSet(&(e->m),IDELEMS(e),16); |
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| 111 | IDELEMS(e) += 16; |
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| 112 | } |
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| 113 | e->m[j] = pCopy(h2->m[i]); |
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| 114 | } |
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| 115 | } |
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| 116 | } |
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| 117 | idDelete(&h2); |
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| 118 | idDelete(&h3); |
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| 119 | idDelete(&h4); |
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| 120 | if (currQuotient!=NULL) |
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| 121 | { |
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| 122 | h3=idInit(1,e->rank); |
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| 123 | h2=kNF(h3,currQuotient,e); |
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| 124 | idDelete(&h3); |
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| 125 | idDelete(&e); |
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| 126 | e=h2; |
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| 127 | } |
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| 128 | idSkipZeroes(e); |
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| 129 | return e; |
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| 130 | } |
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| 131 | |
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| 132 | |
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| 133 | /*2 |
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| 134 | *initialized a field with r numbers between beg and end for the |
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| 135 | *procedure idNextChoise |
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| 136 | */ |
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| 137 | ideal idSectWithElim (ideal h1,ideal h2) |
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| 138 | // does not destroy h1,h2 |
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| 139 | { |
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| 140 | if (TEST_OPT_PROT) PrintS("intersect by elimination method\n"); |
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| 141 | assume(!idIs0(h1)); |
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| 142 | assume(!idIs0(h2)); |
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| 143 | assume(IDELEMS(h1)<=IDELEMS(h2)); |
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[7b25fe] | 144 | assume(id_RankFreeModule(h1,currRing)==0); |
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| 145 | assume(id_RankFreeModule(h2,currRing)==0); |
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[0f401f] | 146 | // add a new variable: |
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| 147 | int j; |
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| 148 | ring origRing=currRing; |
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| 149 | ring r=rCopy0(origRing); |
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| 150 | r->N++; |
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| 151 | r->block0[0]=1; |
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| 152 | r->block1[0]= r->N; |
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| 153 | omFree(r->order); |
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| 154 | r->order=(int*)omAlloc0(3*sizeof(int*)); |
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| 155 | r->order[0]=ringorder_dp; |
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| 156 | r->order[1]=ringorder_C; |
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| 157 | char **names=(char**)omAlloc0(rVar(r) * sizeof(char_ptr)); |
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| 158 | for (j=0;j<r->N-1;j++) names[j]=r->names[j]; |
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| 159 | names[r->N-1]=omStrDup("@"); |
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| 160 | omFree(r->names); |
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| 161 | r->names=names; |
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| 162 | rComplete(r,TRUE); |
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| 163 | // fetch h1, h2 |
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| 164 | ideal h; |
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| 165 | h1=idrCopyR(h1,origRing,r); |
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| 166 | h2=idrCopyR(h2,origRing,r); |
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| 167 | // switch to temp. ring r |
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| 168 | rChangeCurrRing(r); |
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| 169 | // create 1-t, t |
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[861529] | 170 | poly omt=p_One(currRing); |
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| 171 | p_SetExp(omt,r->N,1,currRing); |
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| 172 | poly t=p_Copy(omt,currRing); |
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| 173 | p_Setm(omt,currRing); |
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| 174 | omt=p_Neg(omt,currRing); |
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| 175 | omt=p_Add_q(omt,pOne(),currRing); |
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[0f401f] | 176 | // compute (1-t)*h1 |
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[861529] | 177 | h1=(ideal)mp_MultP((matrix)h1,omt,currRing); |
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[0f401f] | 178 | // compute t*h2 |
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[861529] | 179 | h2=(ideal)mp_MultP((matrix)h2,pCopy(t),currRing); |
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[0f401f] | 180 | // (1-t)h1 + t*h2 |
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| 181 | h=idInit(IDELEMS(h1)+IDELEMS(h2),1); |
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| 182 | int l; |
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| 183 | for (l=IDELEMS(h1)-1; l>=0; l--) |
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| 184 | { |
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| 185 | h->m[l] = h1->m[l]; h1->m[l]=NULL; |
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| 186 | } |
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| 187 | j=IDELEMS(h1); |
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| 188 | for (l=IDELEMS(h2)-1; l>=0; l--) |
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| 189 | { |
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| 190 | h->m[l+j] = h2->m[l]; h2->m[l]=NULL; |
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| 191 | } |
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| 192 | idDelete(&h1); |
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| 193 | idDelete(&h2); |
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| 194 | // eliminate t: |
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| 195 | |
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| 196 | ideal res=idElimination(h,t); |
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[a5d181c] | 197 | // cleanup |
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[0f401f] | 198 | idDelete(&h); |
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[a5d181c] | 199 | if (res!=NULL) res=idrMoveR(res,r,origRing); |
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[0f401f] | 200 | rChangeCurrRing(origRing); |
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[5fe834] | 201 | rDelete(r); |
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[0f401f] | 202 | return res; |
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| 203 | } |
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| 204 | /*2 |
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| 205 | * h3 := h1 intersect h2 |
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| 206 | */ |
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| 207 | ideal idSect (ideal h1,ideal h2) |
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| 208 | { |
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| 209 | int i,j,k,length; |
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[7b25fe] | 210 | int flength = id_RankFreeModule(h1,currRing); |
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| 211 | int slength = id_RankFreeModule(h2,currRing); |
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[0f401f] | 212 | int rank=si_min(flength,slength); |
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| 213 | if ((idIs0(h1)) || (idIs0(h2))) return idInit(1,rank); |
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| 214 | |
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| 215 | ideal first,second,temp,temp1,result; |
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| 216 | poly p,q; |
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| 217 | |
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| 218 | if (IDELEMS(h1)<IDELEMS(h2)) |
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| 219 | { |
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| 220 | first = h1; |
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| 221 | second = h2; |
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| 222 | } |
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| 223 | else |
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| 224 | { |
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| 225 | first = h2; |
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| 226 | second = h1; |
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| 227 | int t=flength; flength=slength; slength=t; |
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| 228 | } |
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| 229 | length = si_max(flength,slength); |
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| 230 | if (length==0) |
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| 231 | { |
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| 232 | if ((currQuotient==NULL) |
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| 233 | && (currRing->OrdSgn==1) |
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| 234 | && (!rIsPluralRing(currRing)) |
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| 235 | && ((TEST_V_INTERSECT_ELIM) || (!TEST_V_INTERSECT_SYZ))) |
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| 236 | return idSectWithElim(first,second); |
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| 237 | else length = 1; |
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| 238 | } |
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| 239 | if (TEST_OPT_PROT) PrintS("intersect by syzygy methods\n"); |
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| 240 | j = IDELEMS(first); |
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| 241 | |
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| 242 | ring orig_ring=currRing; |
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[3f07d1] | 243 | ring syz_ring=rAssure_SyzComp(orig_ring,TRUE); rChangeCurrRing(syz_ring); |
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[b7cfaf] | 244 | rSetSyzComp(length, syz_ring); |
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[0f401f] | 245 | |
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| 246 | while ((j>0) && (first->m[j-1]==NULL)) j--; |
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| 247 | temp = idInit(j /*IDELEMS(first)*/+IDELEMS(second),length+j); |
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| 248 | k = 0; |
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| 249 | for (i=0;i<j;i++) |
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| 250 | { |
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| 251 | if (first->m[i]!=NULL) |
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| 252 | { |
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| 253 | if (syz_ring==orig_ring) |
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| 254 | temp->m[k] = pCopy(first->m[i]); |
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| 255 | else |
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[861529] | 256 | temp->m[k] = prCopyR(first->m[i], orig_ring, syz_ring); |
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[0f401f] | 257 | q = pOne(); |
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| 258 | pSetComp(q,i+1+length); |
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| 259 | pSetmComp(q); |
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[861529] | 260 | if (flength==0) p_Shift(&(temp->m[k]),1,currRing); |
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[0f401f] | 261 | p = temp->m[k]; |
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| 262 | while (pNext(p)!=NULL) pIter(p); |
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| 263 | pNext(p) = q; |
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| 264 | k++; |
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| 265 | } |
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| 266 | } |
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| 267 | for (i=0;i<IDELEMS(second);i++) |
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| 268 | { |
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| 269 | if (second->m[i]!=NULL) |
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| 270 | { |
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| 271 | if (syz_ring==orig_ring) |
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| 272 | temp->m[k] = pCopy(second->m[i]); |
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| 273 | else |
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[861529] | 274 | temp->m[k] = prCopyR(second->m[i], orig_ring,currRing); |
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| 275 | if (slength==0) p_Shift(&(temp->m[k]),1,currRing); |
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[0f401f] | 276 | k++; |
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| 277 | } |
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| 278 | } |
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| 279 | intvec *w=NULL; |
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| 280 | temp1 = kStd(temp,currQuotient,testHomog,&w,NULL,length); |
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| 281 | if (w!=NULL) delete w; |
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| 282 | idDelete(&temp); |
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| 283 | if(syz_ring!=orig_ring) |
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| 284 | rChangeCurrRing(orig_ring); |
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| 285 | |
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| 286 | result = idInit(IDELEMS(temp1),rank); |
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| 287 | j = 0; |
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| 288 | for (i=0;i<IDELEMS(temp1);i++) |
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| 289 | { |
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| 290 | if ((temp1->m[i]!=NULL) |
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| 291 | && (p_GetComp(temp1->m[i],syz_ring)>length)) |
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| 292 | { |
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| 293 | if(syz_ring==orig_ring) |
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| 294 | { |
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| 295 | p = temp1->m[i]; |
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| 296 | } |
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| 297 | else |
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| 298 | { |
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[b7cfaf] | 299 | p = prMoveR(temp1->m[i], syz_ring,orig_ring); |
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[0f401f] | 300 | } |
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| 301 | temp1->m[i]=NULL; |
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| 302 | while (p!=NULL) |
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| 303 | { |
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| 304 | q = pNext(p); |
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| 305 | pNext(p) = NULL; |
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| 306 | k = pGetComp(p)-1-length; |
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| 307 | pSetComp(p,0); |
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| 308 | pSetmComp(p); |
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| 309 | /* Warning! multiply only from the left! it's very important for Plural */ |
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| 310 | result->m[j] = pAdd(result->m[j],pMult(p,pCopy(first->m[k]))); |
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| 311 | p = q; |
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| 312 | } |
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| 313 | j++; |
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| 314 | } |
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| 315 | } |
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| 316 | if(syz_ring!=orig_ring) |
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| 317 | { |
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| 318 | rChangeCurrRing(syz_ring); |
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| 319 | idDelete(&temp1); |
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| 320 | rChangeCurrRing(orig_ring); |
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[5fe834] | 321 | rDelete(syz_ring); |
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[0f401f] | 322 | } |
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| 323 | else |
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| 324 | { |
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| 325 | idDelete(&temp1); |
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| 326 | } |
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| 327 | |
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| 328 | idSkipZeroes(result); |
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| 329 | if (TEST_OPT_RETURN_SB) |
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| 330 | { |
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| 331 | w=NULL; |
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| 332 | temp1=kStd(result,currQuotient,testHomog,&w); |
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| 333 | if (w!=NULL) delete w; |
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| 334 | idDelete(&result); |
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| 335 | idSkipZeroes(temp1); |
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| 336 | return temp1; |
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| 337 | } |
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| 338 | else //temp1=kInterRed(result,currQuotient); |
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| 339 | return result; |
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| 340 | } |
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| 341 | |
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| 342 | /*2 |
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| 343 | * ideal/module intersection for a list of objects |
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| 344 | * given as 'resolvente' |
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| 345 | */ |
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| 346 | ideal idMultSect(resolvente arg, int length) |
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| 347 | { |
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| 348 | int i,j=0,k=0,syzComp,l,maxrk=-1,realrki; |
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| 349 | ideal bigmat,tempstd,result; |
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| 350 | poly p; |
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| 351 | int isIdeal=0; |
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| 352 | intvec * w=NULL; |
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| 353 | |
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| 354 | /* find 0-ideals and max rank -----------------------------------*/ |
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| 355 | for (i=0;i<length;i++) |
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| 356 | { |
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| 357 | if (!idIs0(arg[i])) |
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| 358 | { |
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[7b25fe] | 359 | realrki=id_RankFreeModule(arg[i],currRing); |
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[0f401f] | 360 | k++; |
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| 361 | j += IDELEMS(arg[i]); |
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| 362 | if (realrki>maxrk) maxrk = realrki; |
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| 363 | } |
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| 364 | else |
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| 365 | { |
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| 366 | if (arg[i]!=NULL) |
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| 367 | { |
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| 368 | return idInit(1,arg[i]->rank); |
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| 369 | } |
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| 370 | } |
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| 371 | } |
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| 372 | if (maxrk == 0) |
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| 373 | { |
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| 374 | isIdeal = 1; |
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| 375 | maxrk = 1; |
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| 376 | } |
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| 377 | /* init -----------------------------------------------------------*/ |
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| 378 | j += maxrk; |
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| 379 | syzComp = k*maxrk; |
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| 380 | |
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| 381 | ring orig_ring=currRing; |
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[3f07d1] | 382 | ring syz_ring=rAssure_SyzComp(orig_ring,TRUE); rChangeCurrRing(syz_ring); |
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[b7cfaf] | 383 | rSetSyzComp(syzComp, syz_ring); |
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[0f401f] | 384 | |
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| 385 | bigmat = idInit(j,(k+1)*maxrk); |
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| 386 | /* create unit matrices ------------------------------------------*/ |
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| 387 | for (i=0;i<maxrk;i++) |
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| 388 | { |
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| 389 | for (j=0;j<=k;j++) |
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| 390 | { |
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| 391 | p = pOne(); |
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| 392 | pSetComp(p,i+1+j*maxrk); |
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| 393 | pSetmComp(p); |
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| 394 | bigmat->m[i] = pAdd(bigmat->m[i],p); |
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| 395 | } |
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| 396 | } |
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| 397 | /* enter given ideals ------------------------------------------*/ |
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| 398 | i = maxrk; |
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| 399 | k = 0; |
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| 400 | for (j=0;j<length;j++) |
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| 401 | { |
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| 402 | if (arg[j]!=NULL) |
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| 403 | { |
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| 404 | for (l=0;l<IDELEMS(arg[j]);l++) |
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| 405 | { |
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| 406 | if (arg[j]->m[l]!=NULL) |
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| 407 | { |
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| 408 | if (syz_ring==orig_ring) |
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| 409 | bigmat->m[i] = pCopy(arg[j]->m[l]); |
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| 410 | else |
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[861529] | 411 | bigmat->m[i] = prCopyR(arg[j]->m[l], orig_ring,currRing); |
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| 412 | p_Shift(&(bigmat->m[i]),k*maxrk+isIdeal,currRing); |
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[0f401f] | 413 | i++; |
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| 414 | } |
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| 415 | } |
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| 416 | k++; |
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| 417 | } |
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| 418 | } |
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| 419 | /* std computation --------------------------------------------*/ |
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| 420 | tempstd = kStd(bigmat,currQuotient,testHomog,&w,NULL,syzComp); |
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| 421 | if (w!=NULL) delete w; |
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| 422 | idDelete(&bigmat); |
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| 423 | |
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| 424 | if(syz_ring!=orig_ring) |
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| 425 | rChangeCurrRing(orig_ring); |
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| 426 | |
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| 427 | /* interprete result ----------------------------------------*/ |
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| 428 | result = idInit(IDELEMS(tempstd),maxrk); |
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| 429 | k = 0; |
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| 430 | for (j=0;j<IDELEMS(tempstd);j++) |
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| 431 | { |
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| 432 | if ((tempstd->m[j]!=NULL) && (p_GetComp(tempstd->m[j],syz_ring)>syzComp)) |
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| 433 | { |
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| 434 | if (syz_ring==orig_ring) |
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| 435 | p = pCopy(tempstd->m[j]); |
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| 436 | else |
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[441a2e] | 437 | p = prCopyR(tempstd->m[j], syz_ring,currRing); |
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[861529] | 438 | p_Shift(&p,-syzComp-isIdeal,currRing); |
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[0f401f] | 439 | result->m[k] = p; |
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| 440 | k++; |
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| 441 | } |
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| 442 | } |
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| 443 | /* clean up ----------------------------------------------------*/ |
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| 444 | if(syz_ring!=orig_ring) |
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| 445 | rChangeCurrRing(syz_ring); |
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| 446 | idDelete(&tempstd); |
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| 447 | if(syz_ring!=orig_ring) |
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| 448 | { |
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| 449 | rChangeCurrRing(orig_ring); |
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[5fe834] | 450 | rDelete(syz_ring); |
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[0f401f] | 451 | } |
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| 452 | idSkipZeroes(result); |
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| 453 | return result; |
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| 454 | } |
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| 455 | |
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| 456 | /*2 |
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| 457 | *computes syzygies of h1, |
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| 458 | *if quot != NULL it computes in the quotient ring modulo "quot" |
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| 459 | *works always in a ring with ringorder_s |
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| 460 | */ |
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| 461 | static ideal idPrepare (ideal h1, tHomog hom, int syzcomp, intvec **w) |
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| 462 | { |
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| 463 | ideal h2, h3; |
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| 464 | int i; |
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[bca341] | 465 | int j,k; |
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[0f401f] | 466 | poly p,q; |
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| 467 | |
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| 468 | if (idIs0(h1)) return NULL; |
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[7b25fe] | 469 | k = id_RankFreeModule(h1,currRing); |
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[0f401f] | 470 | h2=idCopy(h1); |
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| 471 | i = IDELEMS(h2)-1; |
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| 472 | if (k == 0) |
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| 473 | { |
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[861529] | 474 | for (j=0; j<=i; j++) p_Shift(&(h2->m[j]),1,currRing); |
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[0f401f] | 475 | k = 1; |
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| 476 | } |
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| 477 | if (syzcomp<k) |
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| 478 | { |
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| 479 | Warn("syzcomp too low, should be %d instead of %d",k,syzcomp); |
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| 480 | syzcomp = k; |
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[b7cfaf] | 481 | rSetSyzComp(k,currRing); |
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[0f401f] | 482 | } |
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| 483 | h2->rank = syzcomp+i+1; |
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| 484 | |
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| 485 | //if (hom==testHomog) |
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| 486 | //{ |
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| 487 | // if(idHomIdeal(h1,currQuotient)) |
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| 488 | // { |
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| 489 | // hom=TRUE; |
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| 490 | // } |
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| 491 | //} |
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| 492 | |
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| 493 | #if MYTEST |
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| 494 | #ifdef RDEBUG |
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| 495 | Print("Prepare::h2: "); |
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| 496 | idPrint(h2); |
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| 497 | |
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| 498 | for(j=0;j<IDELEMS(h2);j++) pTest(h2->m[j]); |
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| 499 | |
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| 500 | #endif |
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| 501 | #endif |
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| 502 | |
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| 503 | for (j=0; j<=i; j++) |
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| 504 | { |
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| 505 | p = h2->m[j]; |
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| 506 | q = pOne(); |
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| 507 | pSetComp(q,syzcomp+1+j); |
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| 508 | pSetmComp(q); |
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| 509 | if (p!=NULL) |
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| 510 | { |
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| 511 | while (pNext(p)) pIter(p); |
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| 512 | p->next = q; |
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| 513 | } |
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| 514 | else |
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| 515 | h2->m[j]=q; |
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| 516 | } |
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| 517 | |
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| 518 | #ifdef PDEBUG |
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| 519 | for(j=0;j<IDELEMS(h2);j++) pTest(h2->m[j]); |
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| 520 | |
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| 521 | #if MYTEST |
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| 522 | #ifdef RDEBUG |
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| 523 | Print("Prepare::Input: "); |
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| 524 | idPrint(h2); |
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| 525 | |
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| 526 | Print("Prepare::currQuotient: "); |
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| 527 | idPrint(currQuotient); |
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| 528 | #endif |
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| 529 | #endif |
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| 530 | |
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| 531 | #endif |
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| 532 | |
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| 533 | idTest(h2); |
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| 534 | |
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| 535 | h3 = kStd(h2,currQuotient,hom,w,NULL,syzcomp); |
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| 536 | |
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| 537 | #if MYTEST |
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| 538 | #ifdef RDEBUG |
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| 539 | Print("Prepare::Output: "); |
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| 540 | idPrint(h3); |
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| 541 | for(j=0;j<IDELEMS(h2);j++) pTest(h3->m[j]); |
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| 542 | #endif |
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| 543 | #endif |
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| 544 | |
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| 545 | |
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| 546 | idDelete(&h2); |
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| 547 | return h3; |
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| 548 | } |
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| 549 | |
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| 550 | /*2 |
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| 551 | * compute the syzygies of h1 in R/quot, |
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| 552 | * weights of components are in w |
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| 553 | * if setRegularity, return the regularity in deg |
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| 554 | * do not change h1, w |
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| 555 | */ |
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| 556 | ideal idSyzygies (ideal h1, tHomog h,intvec **w, BOOLEAN setSyzComp, |
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| 557 | BOOLEAN setRegularity, int *deg) |
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| 558 | { |
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| 559 | ideal s_h1; |
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| 560 | int j, k, length=0,reg; |
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| 561 | BOOLEAN isMonomial=TRUE; |
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| 562 | int ii, idElemens_h1; |
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| 563 | |
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| 564 | assume(h1 != NULL); |
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| 565 | |
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| 566 | idElemens_h1=IDELEMS(h1); |
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| 567 | #ifdef PDEBUG |
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| 568 | for(ii=0;ii<idElemens_h1 /*IDELEMS(h1)*/;ii++) pTest(h1->m[ii]); |
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| 569 | #endif |
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| 570 | if (idIs0(h1)) |
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| 571 | { |
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| 572 | ideal result=idFreeModule(idElemens_h1/*IDELEMS(h1)*/); |
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[861529] | 573 | int curr_syz_limit=rGetCurrSyzLimit(currRing); |
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[0f401f] | 574 | if (curr_syz_limit>0) |
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| 575 | for (ii=0;ii<idElemens_h1/*IDELEMS(h1)*/;ii++) |
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| 576 | { |
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| 577 | if (h1->m[ii]!=NULL) |
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[861529] | 578 | p_Shift(&h1->m[ii],curr_syz_limit,currRing); |
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[0f401f] | 579 | } |
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| 580 | return result; |
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| 581 | } |
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[7b25fe] | 582 | int slength=(int)id_RankFreeModule(h1,currRing); |
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| 583 | k=si_max(1,slength /*id_RankFreeModule(h1)*/); |
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[0f401f] | 584 | |
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| 585 | assume(currRing != NULL); |
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| 586 | ring orig_ring=currRing; |
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[3f07d1] | 587 | ring syz_ring=rAssure_SyzComp(orig_ring,TRUE); rChangeCurrRing(syz_ring); |
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[0f401f] | 588 | |
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| 589 | if (setSyzComp) |
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[b7cfaf] | 590 | rSetSyzComp(k,syz_ring); |
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[0f401f] | 591 | |
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| 592 | if (orig_ring != syz_ring) |
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| 593 | { |
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[441a2e] | 594 | s_h1=idrCopyR_NoSort(h1,orig_ring,syz_ring); |
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[0f401f] | 595 | } |
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| 596 | else |
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| 597 | { |
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| 598 | s_h1 = h1; |
---|
| 599 | } |
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| 600 | |
---|
| 601 | idTest(s_h1); |
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| 602 | |
---|
| 603 | ideal s_h3=idPrepare(s_h1,h,k,w); // main (syz) GB computation |
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| 604 | |
---|
| 605 | if (s_h3==NULL) |
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| 606 | { |
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| 607 | return idFreeModule( idElemens_h1 /*IDELEMS(h1)*/); |
---|
| 608 | } |
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| 609 | |
---|
| 610 | if (orig_ring != syz_ring) |
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| 611 | { |
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| 612 | idDelete(&s_h1); |
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| 613 | for (j=0; j<IDELEMS(s_h3); j++) |
---|
| 614 | { |
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| 615 | if (s_h3->m[j] != NULL) |
---|
| 616 | { |
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| 617 | if (p_MinComp(s_h3->m[j],syz_ring) > k) |
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[f9591a] | 618 | p_Shift(&s_h3->m[j], -k,syz_ring); |
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[0f401f] | 619 | else |
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[f9591a] | 620 | p_Delete(&s_h3->m[j],syz_ring); |
---|
[0f401f] | 621 | } |
---|
| 622 | } |
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| 623 | idSkipZeroes(s_h3); |
---|
| 624 | s_h3->rank -= k; |
---|
| 625 | rChangeCurrRing(orig_ring); |
---|
[b7cfaf] | 626 | s_h3 = idrMoveR_NoSort(s_h3, syz_ring, orig_ring); |
---|
[5fe834] | 627 | rDelete(syz_ring); |
---|
[0f401f] | 628 | #ifdef HAVE_PLURAL |
---|
[6a4ba5f] | 629 | if (rIsPluralRing(orig_ring)) |
---|
[0f401f] | 630 | { |
---|
[6a4ba5f] | 631 | id_DelMultiples(s_h3,orig_ring); |
---|
[0f401f] | 632 | idSkipZeroes(s_h3); |
---|
| 633 | } |
---|
| 634 | #endif |
---|
| 635 | idTest(s_h3); |
---|
| 636 | return s_h3; |
---|
| 637 | } |
---|
| 638 | |
---|
| 639 | ideal e = idInit(IDELEMS(s_h3), s_h3->rank); |
---|
| 640 | |
---|
| 641 | for (j=IDELEMS(s_h3)-1; j>=0; j--) |
---|
| 642 | { |
---|
| 643 | if (s_h3->m[j] != NULL) |
---|
| 644 | { |
---|
| 645 | if (p_MinComp(s_h3->m[j],syz_ring) <= k) |
---|
| 646 | { |
---|
| 647 | e->m[j] = s_h3->m[j]; |
---|
| 648 | isMonomial=isMonomial && (pNext(s_h3->m[j])==NULL); |
---|
[f9591a] | 649 | p_Delete(&pNext(s_h3->m[j]),syz_ring); |
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[0f401f] | 650 | s_h3->m[j] = NULL; |
---|
| 651 | } |
---|
| 652 | } |
---|
| 653 | } |
---|
| 654 | |
---|
| 655 | idSkipZeroes(s_h3); |
---|
| 656 | idSkipZeroes(e); |
---|
| 657 | |
---|
| 658 | if ((deg != NULL) |
---|
| 659 | && (!isMonomial) |
---|
| 660 | && (!TEST_OPT_NOTREGULARITY) |
---|
| 661 | && (setRegularity) |
---|
| 662 | && (h==isHomog) |
---|
| 663 | && (!rIsPluralRing(currRing)) |
---|
| 664 | ) |
---|
| 665 | { |
---|
[1da2a13] | 666 | ring dp_C_ring = rAssure_dp_C(syz_ring); // will do rChangeCurrRing later |
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[0f401f] | 667 | if (dp_C_ring != syz_ring) |
---|
[441a2e] | 668 | { |
---|
| 669 | rChangeCurrRing(dp_C_ring); |
---|
[b7cfaf] | 670 | e = idrMoveR_NoSort(e, syz_ring, dp_C_ring); |
---|
[441a2e] | 671 | } |
---|
[0f401f] | 672 | resolvente res = sySchreyerResolvente(e,-1,&length,TRUE, TRUE); |
---|
| 673 | intvec * dummy = syBetti(res,length,®, *w); |
---|
| 674 | *deg = reg+2; |
---|
| 675 | delete dummy; |
---|
| 676 | for (j=0;j<length;j++) |
---|
| 677 | { |
---|
| 678 | if (res[j]!=NULL) idDelete(&(res[j])); |
---|
| 679 | } |
---|
| 680 | omFreeSize((ADDRESS)res,length*sizeof(ideal)); |
---|
| 681 | idDelete(&e); |
---|
| 682 | if (dp_C_ring != syz_ring) |
---|
| 683 | { |
---|
| 684 | rChangeCurrRing(syz_ring); |
---|
[5fe834] | 685 | rDelete(dp_C_ring); |
---|
[0f401f] | 686 | } |
---|
| 687 | } |
---|
| 688 | else |
---|
| 689 | { |
---|
| 690 | idDelete(&e); |
---|
| 691 | } |
---|
| 692 | idTest(s_h3); |
---|
| 693 | if (currQuotient != NULL) |
---|
| 694 | { |
---|
| 695 | ideal ts_h3=kStd(s_h3,currQuotient,h,w); |
---|
| 696 | idDelete(&s_h3); |
---|
| 697 | s_h3 = ts_h3; |
---|
| 698 | } |
---|
| 699 | return s_h3; |
---|
| 700 | } |
---|
| 701 | |
---|
| 702 | /*2 |
---|
| 703 | */ |
---|
| 704 | ideal idXXX (ideal h1, int k) |
---|
| 705 | { |
---|
| 706 | ideal s_h1; |
---|
| 707 | intvec *w=NULL; |
---|
| 708 | |
---|
| 709 | assume(currRing != NULL); |
---|
| 710 | ring orig_ring=currRing; |
---|
[3f07d1] | 711 | ring syz_ring=rAssure_SyzComp(orig_ring,TRUE); rChangeCurrRing(syz_ring); |
---|
[0f401f] | 712 | |
---|
[b7cfaf] | 713 | rSetSyzComp(k,syz_ring); |
---|
[0f401f] | 714 | |
---|
| 715 | if (orig_ring != syz_ring) |
---|
| 716 | { |
---|
[441a2e] | 717 | s_h1=idrCopyR_NoSort(h1,orig_ring, syz_ring); |
---|
[0f401f] | 718 | } |
---|
| 719 | else |
---|
| 720 | { |
---|
| 721 | s_h1 = h1; |
---|
| 722 | } |
---|
| 723 | |
---|
| 724 | ideal s_h3=kStd(s_h1,NULL,testHomog,&w,NULL,k); |
---|
| 725 | |
---|
| 726 | if (s_h3==NULL) |
---|
| 727 | { |
---|
| 728 | return idFreeModule(IDELEMS(h1)); |
---|
| 729 | } |
---|
| 730 | |
---|
| 731 | if (orig_ring != syz_ring) |
---|
| 732 | { |
---|
| 733 | idDelete(&s_h1); |
---|
| 734 | idSkipZeroes(s_h3); |
---|
| 735 | rChangeCurrRing(orig_ring); |
---|
[b7cfaf] | 736 | s_h3 = idrMoveR_NoSort(s_h3, syz_ring, orig_ring); |
---|
[5fe834] | 737 | rDelete(syz_ring); |
---|
[0f401f] | 738 | idTest(s_h3); |
---|
| 739 | return s_h3; |
---|
| 740 | } |
---|
| 741 | |
---|
| 742 | idSkipZeroes(s_h3); |
---|
| 743 | idTest(s_h3); |
---|
| 744 | return s_h3; |
---|
| 745 | } |
---|
| 746 | |
---|
| 747 | /* |
---|
| 748 | *computes a standard basis for h1 and stores the transformation matrix |
---|
| 749 | * in ma |
---|
| 750 | */ |
---|
| 751 | ideal idLiftStd (ideal h1, matrix* ma, tHomog hi, ideal * syz) |
---|
| 752 | { |
---|
[30664c] | 753 | int i, j, t, inputIsIdeal=id_RankFreeModule(h1,currRing); |
---|
| 754 | long k; |
---|
[bca341] | 755 | poly p=NULL, q; |
---|
[0f401f] | 756 | intvec *w=NULL; |
---|
| 757 | |
---|
| 758 | idDelete((ideal*)ma); |
---|
| 759 | BOOLEAN lift3=FALSE; |
---|
| 760 | if (syz!=NULL) { lift3=TRUE; idDelete(syz); } |
---|
| 761 | if (idIs0(h1)) |
---|
| 762 | { |
---|
| 763 | *ma=mpNew(1,0); |
---|
| 764 | if (lift3) |
---|
| 765 | { |
---|
| 766 | *syz=idFreeModule(IDELEMS(h1)); |
---|
[861529] | 767 | int curr_syz_limit=rGetCurrSyzLimit(currRing); |
---|
[0f401f] | 768 | if (curr_syz_limit>0) |
---|
| 769 | for (int ii=0;ii<IDELEMS(h1);ii++) |
---|
| 770 | { |
---|
| 771 | if (h1->m[ii]!=NULL) |
---|
[861529] | 772 | p_Shift(&h1->m[ii],curr_syz_limit,currRing); |
---|
[0f401f] | 773 | } |
---|
| 774 | } |
---|
| 775 | return idInit(1,h1->rank); |
---|
| 776 | } |
---|
| 777 | |
---|
[d30a399] | 778 | BITSET save2; |
---|
| 779 | SI_SAVE_OPT2(save2); |
---|
[0f401f] | 780 | |
---|
[30664c] | 781 | k=si_max((long)1,id_RankFreeModule(h1,currRing)); |
---|
[0f401f] | 782 | |
---|
[d30a399] | 783 | if ((k==1) && (!lift3)) si_opt_2 |=Sy_bit(V_IDLIFT); |
---|
[0f401f] | 784 | |
---|
| 785 | ring orig_ring = currRing; |
---|
[3f07d1] | 786 | ring syz_ring = rAssure_SyzComp(orig_ring,TRUE); rChangeCurrRing(syz_ring); |
---|
[b7cfaf] | 787 | rSetSyzComp(k,syz_ring); |
---|
[0f401f] | 788 | |
---|
| 789 | ideal s_h1=h1; |
---|
| 790 | |
---|
| 791 | if (orig_ring != syz_ring) |
---|
[441a2e] | 792 | s_h1 = idrCopyR_NoSort(h1,orig_ring,syz_ring); |
---|
[0f401f] | 793 | else |
---|
| 794 | s_h1 = h1; |
---|
| 795 | |
---|
| 796 | ideal s_h3=idPrepare(s_h1,hi,k,&w); // main (syz) GB computation |
---|
| 797 | |
---|
| 798 | ideal s_h2 = idInit(IDELEMS(s_h3), s_h3->rank); |
---|
| 799 | |
---|
| 800 | if (lift3) (*syz)=idInit(IDELEMS(s_h3),IDELEMS(h1)); |
---|
| 801 | |
---|
| 802 | if (w!=NULL) delete w; |
---|
| 803 | i = 0; |
---|
| 804 | |
---|
| 805 | // now sort the result, SB : leave in s_h3 |
---|
| 806 | // T: put in s_h2 |
---|
| 807 | // syz: put in *syz |
---|
| 808 | for (j=0; j<IDELEMS(s_h3); j++) |
---|
| 809 | { |
---|
| 810 | if (s_h3->m[j] != NULL) |
---|
| 811 | { |
---|
| 812 | //if (p_MinComp(s_h3->m[j],syz_ring) <= k) |
---|
| 813 | if (pGetComp(s_h3->m[j]) <= k) // syz_ring == currRing |
---|
| 814 | { |
---|
| 815 | i++; |
---|
| 816 | q = s_h3->m[j]; |
---|
| 817 | while (pNext(q) != NULL) |
---|
| 818 | { |
---|
| 819 | if (pGetComp(pNext(q)) > k) |
---|
| 820 | { |
---|
| 821 | s_h2->m[j] = pNext(q); |
---|
| 822 | pNext(q) = NULL; |
---|
| 823 | } |
---|
| 824 | else |
---|
| 825 | { |
---|
| 826 | pIter(q); |
---|
| 827 | } |
---|
| 828 | } |
---|
[861529] | 829 | if (!inputIsIdeal) p_Shift(&(s_h3->m[j]), -1,currRing); |
---|
[0f401f] | 830 | } |
---|
| 831 | else |
---|
| 832 | { |
---|
| 833 | // we a syzygy here: |
---|
| 834 | if (lift3) |
---|
| 835 | { |
---|
[861529] | 836 | p_Shift(&s_h3->m[j], -k,currRing); |
---|
[0f401f] | 837 | (*syz)->m[j]=s_h3->m[j]; |
---|
| 838 | s_h3->m[j]=NULL; |
---|
| 839 | } |
---|
| 840 | else |
---|
[f9591a] | 841 | p_Delete(&(s_h3->m[j]),currRing); |
---|
[0f401f] | 842 | } |
---|
| 843 | } |
---|
| 844 | } |
---|
| 845 | idSkipZeroes(s_h3); |
---|
| 846 | //extern char * iiStringMatrix(matrix im, int dim,char ch); |
---|
| 847 | //PrintS("SB: ----------------------------------------\n"); |
---|
| 848 | //PrintS(iiStringMatrix((matrix)s_h3,k,'\n')); |
---|
| 849 | //PrintLn(); |
---|
| 850 | //PrintS("T: ----------------------------------------\n"); |
---|
| 851 | //PrintS(iiStringMatrix((matrix)s_h2,h1->rank,'\n')); |
---|
| 852 | //PrintLn(); |
---|
| 853 | |
---|
| 854 | if (lift3) idSkipZeroes(*syz); |
---|
| 855 | |
---|
| 856 | j = IDELEMS(s_h1); |
---|
| 857 | |
---|
| 858 | |
---|
| 859 | if (syz_ring!=orig_ring) |
---|
| 860 | { |
---|
| 861 | idDelete(&s_h1); |
---|
| 862 | rChangeCurrRing(orig_ring); |
---|
| 863 | } |
---|
| 864 | |
---|
| 865 | *ma = mpNew(j,i); |
---|
| 866 | |
---|
| 867 | i = 1; |
---|
| 868 | for (j=0; j<IDELEMS(s_h2); j++) |
---|
| 869 | { |
---|
| 870 | if (s_h2->m[j] != NULL) |
---|
| 871 | { |
---|
[b7cfaf] | 872 | q = prMoveR( s_h2->m[j], syz_ring,orig_ring); |
---|
[0f401f] | 873 | s_h2->m[j] = NULL; |
---|
| 874 | |
---|
| 875 | while (q != NULL) |
---|
| 876 | { |
---|
| 877 | p = q; |
---|
| 878 | pIter(q); |
---|
| 879 | pNext(p) = NULL; |
---|
| 880 | t=pGetComp(p); |
---|
| 881 | pSetComp(p,0); |
---|
| 882 | pSetmComp(p); |
---|
| 883 | MATELEM(*ma,t-k,i) = pAdd(MATELEM(*ma,t-k,i),p); |
---|
| 884 | } |
---|
| 885 | i++; |
---|
| 886 | } |
---|
| 887 | } |
---|
| 888 | idDelete(&s_h2); |
---|
| 889 | |
---|
| 890 | for (i=0; i<IDELEMS(s_h3); i++) |
---|
| 891 | { |
---|
[b7cfaf] | 892 | s_h3->m[i] = prMoveR_NoSort(s_h3->m[i], syz_ring,orig_ring); |
---|
[0f401f] | 893 | } |
---|
| 894 | if (lift3) |
---|
| 895 | { |
---|
| 896 | for (i=0; i<IDELEMS(*syz); i++) |
---|
| 897 | { |
---|
[b7cfaf] | 898 | (*syz)->m[i] = prMoveR_NoSort((*syz)->m[i], syz_ring,orig_ring); |
---|
[0f401f] | 899 | } |
---|
| 900 | } |
---|
| 901 | |
---|
[5fe834] | 902 | if (syz_ring!=orig_ring) rDelete(syz_ring); |
---|
[d30a399] | 903 | SI_RESTORE_OPT2(save2); |
---|
[0f401f] | 904 | return s_h3; |
---|
| 905 | } |
---|
| 906 | |
---|
| 907 | static void idPrepareStd(ideal s_temp, int k) |
---|
| 908 | { |
---|
[7b25fe] | 909 | int j,rk=id_RankFreeModule(s_temp,currRing); |
---|
[0f401f] | 910 | poly p,q; |
---|
| 911 | |
---|
| 912 | if (rk == 0) |
---|
| 913 | { |
---|
| 914 | for (j=0; j<IDELEMS(s_temp); j++) |
---|
| 915 | { |
---|
| 916 | if (s_temp->m[j]!=NULL) pSetCompP(s_temp->m[j],1); |
---|
| 917 | } |
---|
| 918 | k = si_max(k,1); |
---|
| 919 | } |
---|
| 920 | for (j=0; j<IDELEMS(s_temp); j++) |
---|
| 921 | { |
---|
| 922 | if (s_temp->m[j]!=NULL) |
---|
| 923 | { |
---|
| 924 | p = s_temp->m[j]; |
---|
| 925 | q = pOne(); |
---|
| 926 | //pGetCoeff(q)=nNeg(pGetCoeff(q)); //set q to -1 |
---|
| 927 | pSetComp(q,k+1+j); |
---|
| 928 | pSetmComp(q); |
---|
| 929 | while (pNext(p)) pIter(p); |
---|
| 930 | pNext(p) = q; |
---|
| 931 | } |
---|
| 932 | } |
---|
| 933 | } |
---|
| 934 | |
---|
| 935 | /*2 |
---|
| 936 | *computes a representation of the generators of submod with respect to those |
---|
| 937 | * of mod |
---|
| 938 | */ |
---|
| 939 | |
---|
| 940 | ideal idLift(ideal mod, ideal submod,ideal *rest, BOOLEAN goodShape, |
---|
| 941 | BOOLEAN isSB, BOOLEAN divide, matrix *unit) |
---|
| 942 | { |
---|
[6909cfb] | 943 | int lsmod =id_RankFreeModule(submod,currRing), j, k; |
---|
[0f401f] | 944 | int comps_to_add=0; |
---|
| 945 | poly p; |
---|
| 946 | |
---|
| 947 | if (idIs0(submod)) |
---|
| 948 | { |
---|
| 949 | if (unit!=NULL) |
---|
| 950 | { |
---|
| 951 | *unit=mpNew(1,1); |
---|
| 952 | MATELEM(*unit,1,1)=pOne(); |
---|
| 953 | } |
---|
| 954 | if (rest!=NULL) |
---|
| 955 | { |
---|
| 956 | *rest=idInit(1,mod->rank); |
---|
| 957 | } |
---|
| 958 | return idInit(1,mod->rank); |
---|
| 959 | } |
---|
| 960 | if (idIs0(mod)) /* and not idIs0(submod) */ |
---|
| 961 | { |
---|
| 962 | WerrorS("2nd module does not lie in the first"); |
---|
[a5d181c] | 963 | return NULL; |
---|
[0f401f] | 964 | } |
---|
| 965 | if (unit!=NULL) |
---|
| 966 | { |
---|
| 967 | comps_to_add = IDELEMS(submod); |
---|
| 968 | while ((comps_to_add>0) && (submod->m[comps_to_add-1]==NULL)) |
---|
| 969 | comps_to_add--; |
---|
| 970 | } |
---|
[7b25fe] | 971 | k=si_max(id_RankFreeModule(mod,currRing),id_RankFreeModule(submod,currRing)); |
---|
[0f401f] | 972 | if ((k!=0) && (lsmod==0)) lsmod=1; |
---|
| 973 | k=si_max(k,(int)mod->rank); |
---|
| 974 | if (k<submod->rank) { WarnS("rk(submod) > rk(mod) ?");k=submod->rank; } |
---|
| 975 | |
---|
| 976 | ring orig_ring=currRing; |
---|
[3f07d1] | 977 | ring syz_ring=rAssure_SyzComp(orig_ring,TRUE); rChangeCurrRing(syz_ring); |
---|
[b7cfaf] | 978 | rSetSyzComp(k,syz_ring); |
---|
[0f401f] | 979 | |
---|
| 980 | ideal s_mod, s_temp; |
---|
| 981 | if (orig_ring != syz_ring) |
---|
| 982 | { |
---|
[441a2e] | 983 | s_mod = idrCopyR_NoSort(mod,orig_ring,syz_ring); |
---|
| 984 | s_temp = idrCopyR_NoSort(submod,orig_ring,syz_ring); |
---|
[0f401f] | 985 | } |
---|
| 986 | else |
---|
| 987 | { |
---|
| 988 | s_mod = mod; |
---|
| 989 | s_temp = idCopy(submod); |
---|
| 990 | } |
---|
| 991 | ideal s_h3; |
---|
| 992 | if (isSB) |
---|
| 993 | { |
---|
| 994 | s_h3 = idCopy(s_mod); |
---|
| 995 | idPrepareStd(s_h3, k+comps_to_add); |
---|
| 996 | } |
---|
| 997 | else |
---|
| 998 | { |
---|
| 999 | s_h3 = idPrepare(s_mod,(tHomog)FALSE,k+comps_to_add,NULL); |
---|
| 1000 | } |
---|
| 1001 | if (!goodShape) |
---|
| 1002 | { |
---|
| 1003 | for (j=0;j<IDELEMS(s_h3);j++) |
---|
| 1004 | { |
---|
| 1005 | if ((s_h3->m[j] != NULL) && (pMinComp(s_h3->m[j]) > k)) |
---|
[f9591a] | 1006 | p_Delete(&(s_h3->m[j]),currRing); |
---|
[0f401f] | 1007 | } |
---|
| 1008 | } |
---|
| 1009 | idSkipZeroes(s_h3); |
---|
| 1010 | if (lsmod==0) |
---|
| 1011 | { |
---|
| 1012 | for (j=IDELEMS(s_temp);j>0;j--) |
---|
| 1013 | { |
---|
| 1014 | if (s_temp->m[j-1]!=NULL) |
---|
[861529] | 1015 | p_Shift(&(s_temp->m[j-1]),1,currRing); |
---|
[0f401f] | 1016 | } |
---|
| 1017 | } |
---|
| 1018 | if (unit!=NULL) |
---|
| 1019 | { |
---|
| 1020 | for(j = 0;j<comps_to_add;j++) |
---|
| 1021 | { |
---|
| 1022 | p = s_temp->m[j]; |
---|
| 1023 | if (p!=NULL) |
---|
| 1024 | { |
---|
| 1025 | while (pNext(p)!=NULL) pIter(p); |
---|
| 1026 | pNext(p) = pOne(); |
---|
| 1027 | pIter(p); |
---|
| 1028 | pSetComp(p,1+j+k); |
---|
| 1029 | pSetmComp(p); |
---|
| 1030 | p = pNeg(p); |
---|
| 1031 | } |
---|
| 1032 | } |
---|
| 1033 | } |
---|
| 1034 | ideal s_result = kNF(s_h3,currQuotient,s_temp,k); |
---|
| 1035 | s_result->rank = s_h3->rank; |
---|
| 1036 | ideal s_rest = idInit(IDELEMS(s_result),k); |
---|
| 1037 | idDelete(&s_h3); |
---|
| 1038 | idDelete(&s_temp); |
---|
| 1039 | |
---|
| 1040 | for (j=0;j<IDELEMS(s_result);j++) |
---|
| 1041 | { |
---|
| 1042 | if (s_result->m[j]!=NULL) |
---|
| 1043 | { |
---|
| 1044 | if (pGetComp(s_result->m[j])<=k) |
---|
| 1045 | { |
---|
| 1046 | if (!divide) |
---|
| 1047 | { |
---|
| 1048 | if (isSB) |
---|
| 1049 | { |
---|
| 1050 | WarnS("first module not a standardbasis\n" |
---|
| 1051 | "// ** or second not a proper submodule"); |
---|
| 1052 | } |
---|
| 1053 | else |
---|
| 1054 | WerrorS("2nd module does not lie in the first"); |
---|
| 1055 | idDelete(&s_result); |
---|
| 1056 | idDelete(&s_rest); |
---|
| 1057 | s_result=idInit(IDELEMS(submod),submod->rank); |
---|
| 1058 | break; |
---|
| 1059 | } |
---|
| 1060 | else |
---|
| 1061 | { |
---|
| 1062 | p = s_rest->m[j] = s_result->m[j]; |
---|
| 1063 | while ((pNext(p)!=NULL) && (pGetComp(pNext(p))<=k)) pIter(p); |
---|
| 1064 | s_result->m[j] = pNext(p); |
---|
| 1065 | pNext(p) = NULL; |
---|
| 1066 | } |
---|
| 1067 | } |
---|
[861529] | 1068 | p_Shift(&(s_result->m[j]),-k,currRing); |
---|
[0f401f] | 1069 | pNeg(s_result->m[j]); |
---|
| 1070 | } |
---|
| 1071 | } |
---|
| 1072 | if ((lsmod==0) && (!idIs0(s_rest))) |
---|
| 1073 | { |
---|
| 1074 | for (j=IDELEMS(s_rest);j>0;j--) |
---|
| 1075 | { |
---|
| 1076 | if (s_rest->m[j-1]!=NULL) |
---|
| 1077 | { |
---|
[861529] | 1078 | p_Shift(&(s_rest->m[j-1]),-1,currRing); |
---|
[0f401f] | 1079 | s_rest->m[j-1] = s_rest->m[j-1]; |
---|
| 1080 | } |
---|
| 1081 | } |
---|
| 1082 | } |
---|
| 1083 | if(syz_ring!=orig_ring) |
---|
| 1084 | { |
---|
| 1085 | idDelete(&s_mod); |
---|
| 1086 | rChangeCurrRing(orig_ring); |
---|
[b7cfaf] | 1087 | s_result = idrMoveR_NoSort(s_result, syz_ring, orig_ring); |
---|
| 1088 | s_rest = idrMoveR_NoSort(s_rest, syz_ring, orig_ring); |
---|
[5fe834] | 1089 | rDelete(syz_ring); |
---|
[0f401f] | 1090 | } |
---|
| 1091 | if (rest!=NULL) |
---|
| 1092 | *rest = s_rest; |
---|
| 1093 | else |
---|
| 1094 | idDelete(&s_rest); |
---|
| 1095 | //idPrint(s_result); |
---|
| 1096 | if (unit!=NULL) |
---|
| 1097 | { |
---|
| 1098 | *unit=mpNew(comps_to_add,comps_to_add); |
---|
| 1099 | int i; |
---|
| 1100 | for(i=0;i<IDELEMS(s_result);i++) |
---|
| 1101 | { |
---|
| 1102 | poly p=s_result->m[i]; |
---|
| 1103 | poly q=NULL; |
---|
| 1104 | while(p!=NULL) |
---|
| 1105 | { |
---|
| 1106 | if(pGetComp(p)<=comps_to_add) |
---|
| 1107 | { |
---|
| 1108 | pSetComp(p,0); |
---|
| 1109 | if (q!=NULL) |
---|
| 1110 | { |
---|
| 1111 | pNext(q)=pNext(p); |
---|
| 1112 | } |
---|
| 1113 | else |
---|
| 1114 | { |
---|
| 1115 | pIter(s_result->m[i]); |
---|
| 1116 | } |
---|
| 1117 | pNext(p)=NULL; |
---|
| 1118 | MATELEM(*unit,i+1,i+1)=pAdd(MATELEM(*unit,i+1,i+1),p); |
---|
| 1119 | if(q!=NULL) p=pNext(q); |
---|
| 1120 | else p=s_result->m[i]; |
---|
| 1121 | } |
---|
| 1122 | else |
---|
| 1123 | { |
---|
| 1124 | q=p; |
---|
| 1125 | pIter(p); |
---|
| 1126 | } |
---|
| 1127 | } |
---|
[861529] | 1128 | p_Shift(&s_result->m[i],-comps_to_add,currRing); |
---|
[0f401f] | 1129 | } |
---|
| 1130 | } |
---|
| 1131 | return s_result; |
---|
| 1132 | } |
---|
| 1133 | |
---|
| 1134 | /*2 |
---|
| 1135 | *computes division of P by Q with remainder up to (w-weighted) degree n |
---|
| 1136 | *P, Q, and w are not changed |
---|
| 1137 | */ |
---|
| 1138 | void idLiftW(ideal P,ideal Q,int n,matrix &T, ideal &R,short *w) |
---|
| 1139 | { |
---|
| 1140 | long N=0; |
---|
| 1141 | int i; |
---|
| 1142 | for(i=IDELEMS(Q)-1;i>=0;i--) |
---|
| 1143 | if(w==NULL) |
---|
[31f1850] | 1144 | N=si_max(N,p_Deg(Q->m[i],currRing)); |
---|
[0f401f] | 1145 | else |
---|
[7415540] | 1146 | N=si_max(N,p_DegW(Q->m[i],w,currRing)); |
---|
[0f401f] | 1147 | N+=n; |
---|
| 1148 | |
---|
| 1149 | T=mpNew(IDELEMS(Q),IDELEMS(P)); |
---|
| 1150 | R=idInit(IDELEMS(P),P->rank); |
---|
| 1151 | |
---|
| 1152 | for(i=IDELEMS(P)-1;i>=0;i--) |
---|
| 1153 | { |
---|
| 1154 | poly p; |
---|
| 1155 | if(w==NULL) |
---|
| 1156 | p=ppJet(P->m[i],N); |
---|
| 1157 | else |
---|
| 1158 | p=ppJetW(P->m[i],N,w); |
---|
| 1159 | |
---|
| 1160 | int j=IDELEMS(Q)-1; |
---|
| 1161 | while(p!=NULL) |
---|
| 1162 | { |
---|
| 1163 | if(pDivisibleBy(Q->m[j],p)) |
---|
| 1164 | { |
---|
[441a2e] | 1165 | poly p0=p_DivideM(pHead(p),pHead(Q->m[j]),currRing); |
---|
[0f401f] | 1166 | if(w==NULL) |
---|
| 1167 | p=pJet(pSub(p,ppMult_mm(Q->m[j],p0)),N); |
---|
| 1168 | else |
---|
| 1169 | p=pJetW(pSub(p,ppMult_mm(Q->m[j],p0)),N,w); |
---|
| 1170 | pNormalize(p); |
---|
[7415540] | 1171 | if(((w==NULL)&&(p_Deg(p0,currRing)>n))||((w!=NULL)&&(p_DegW(p0,w,currRing)>n))) |
---|
[f9591a] | 1172 | p_Delete(&p0,currRing); |
---|
[0f401f] | 1173 | else |
---|
| 1174 | MATELEM(T,j+1,i+1)=pAdd(MATELEM(T,j+1,i+1),p0); |
---|
| 1175 | j=IDELEMS(Q)-1; |
---|
| 1176 | } |
---|
| 1177 | else |
---|
| 1178 | { |
---|
| 1179 | if(j==0) |
---|
| 1180 | { |
---|
| 1181 | poly p0=p; |
---|
| 1182 | pIter(p); |
---|
| 1183 | pNext(p0)=NULL; |
---|
[31f1850] | 1184 | if(((w==NULL)&&(p_Deg(p0,currRing)>n)) |
---|
[7415540] | 1185 | ||((w!=NULL)&&(p_DegW(p0,w,currRing)>n))) |
---|
[f9591a] | 1186 | p_Delete(&p0,currRing); |
---|
[0f401f] | 1187 | else |
---|
| 1188 | R->m[i]=pAdd(R->m[i],p0); |
---|
| 1189 | j=IDELEMS(Q)-1; |
---|
| 1190 | } |
---|
| 1191 | else |
---|
| 1192 | j--; |
---|
| 1193 | } |
---|
| 1194 | } |
---|
| 1195 | } |
---|
| 1196 | } |
---|
| 1197 | |
---|
| 1198 | /*2 |
---|
| 1199 | *computes the quotient of h1,h2 : internal routine for idQuot |
---|
| 1200 | *BEWARE: the returned ideals may contain incorrectly ordered polys ! |
---|
| 1201 | * |
---|
| 1202 | */ |
---|
| 1203 | static ideal idInitializeQuot (ideal h1, ideal h2, BOOLEAN h1IsStb, |
---|
| 1204 | BOOLEAN *addOnlyOne, int *kkmax) |
---|
| 1205 | { |
---|
| 1206 | ideal temph1; |
---|
| 1207 | poly p,q = NULL; |
---|
| 1208 | int i,l,ll,k,kkk,kmax; |
---|
| 1209 | int j = 0; |
---|
[7b25fe] | 1210 | int k1 = id_RankFreeModule(h1,currRing); |
---|
| 1211 | int k2 = id_RankFreeModule(h2,currRing); |
---|
[0f401f] | 1212 | tHomog hom=isNotHomog; |
---|
| 1213 | |
---|
| 1214 | k=si_max(k1,k2); |
---|
| 1215 | if (k==0) |
---|
| 1216 | k = 1; |
---|
| 1217 | if ((k2==0) && (k>1)) *addOnlyOne = FALSE; |
---|
| 1218 | |
---|
| 1219 | intvec * weights; |
---|
| 1220 | hom = (tHomog)idHomModule(h1,currQuotient,&weights); |
---|
[a9c298] | 1221 | if /**addOnlyOne &&*/ (/*(*/ !h1IsStb /*)*/) |
---|
[0f401f] | 1222 | temph1 = kStd(h1,currQuotient,hom,&weights,NULL); |
---|
| 1223 | else |
---|
| 1224 | temph1 = idCopy(h1); |
---|
| 1225 | if (weights!=NULL) delete weights; |
---|
| 1226 | idTest(temph1); |
---|
| 1227 | /*--- making a single vector from h2 ---------------------*/ |
---|
| 1228 | for (i=0; i<IDELEMS(h2); i++) |
---|
| 1229 | { |
---|
| 1230 | if (h2->m[i] != NULL) |
---|
| 1231 | { |
---|
| 1232 | p = pCopy(h2->m[i]); |
---|
| 1233 | if (k2 == 0) |
---|
[861529] | 1234 | p_Shift(&p,j*k+1,currRing); |
---|
[0f401f] | 1235 | else |
---|
[861529] | 1236 | p_Shift(&p,j*k,currRing); |
---|
[0f401f] | 1237 | q = pAdd(q,p); |
---|
| 1238 | j++; |
---|
| 1239 | } |
---|
| 1240 | } |
---|
| 1241 | *kkmax = kmax = j*k+1; |
---|
| 1242 | /*--- adding a monomial for the result (syzygy) ----------*/ |
---|
| 1243 | p = q; |
---|
| 1244 | while (pNext(p)!=NULL) pIter(p); |
---|
| 1245 | pNext(p) = pOne(); |
---|
| 1246 | pIter(p); |
---|
| 1247 | pSetComp(p,kmax); |
---|
| 1248 | pSetmComp(p); |
---|
| 1249 | /*--- constructing the big matrix ------------------------*/ |
---|
| 1250 | ideal h4 = idInit(16,kmax+k-1); |
---|
| 1251 | h4->m[0] = q; |
---|
| 1252 | if (k2 == 0) |
---|
| 1253 | { |
---|
| 1254 | if (k > IDELEMS(h4)) |
---|
| 1255 | { |
---|
| 1256 | pEnlargeSet(&(h4->m),IDELEMS(h4),k-IDELEMS(h4)); |
---|
| 1257 | IDELEMS(h4) = k; |
---|
| 1258 | } |
---|
| 1259 | for (i=1; i<k; i++) |
---|
| 1260 | { |
---|
| 1261 | if (h4->m[i-1]!=NULL) |
---|
| 1262 | { |
---|
| 1263 | p = pCopy_noCheck(h4->m[i-1]); |
---|
[861529] | 1264 | p_Shift(&p,1,currRing); |
---|
[0f401f] | 1265 | h4->m[i] = p; |
---|
| 1266 | } |
---|
| 1267 | } |
---|
| 1268 | } |
---|
| 1269 | idSkipZeroes(h4); |
---|
| 1270 | kkk = IDELEMS(h4); |
---|
| 1271 | i = IDELEMS(temph1); |
---|
| 1272 | for (l=0; l<i; l++) |
---|
| 1273 | { |
---|
| 1274 | if(temph1->m[l]!=NULL) |
---|
| 1275 | { |
---|
| 1276 | for (ll=0; ll<j; ll++) |
---|
| 1277 | { |
---|
| 1278 | p = pCopy(temph1->m[l]); |
---|
| 1279 | if (k1 == 0) |
---|
[861529] | 1280 | p_Shift(&p,ll*k+1,currRing); |
---|
[0f401f] | 1281 | else |
---|
[861529] | 1282 | p_Shift(&p,ll*k,currRing); |
---|
[0f401f] | 1283 | if (kkk >= IDELEMS(h4)) |
---|
| 1284 | { |
---|
| 1285 | pEnlargeSet(&(h4->m),IDELEMS(h4),16); |
---|
| 1286 | IDELEMS(h4) += 16; |
---|
| 1287 | } |
---|
| 1288 | h4->m[kkk] = p; |
---|
| 1289 | kkk++; |
---|
| 1290 | } |
---|
| 1291 | } |
---|
| 1292 | } |
---|
| 1293 | /*--- if h2 goes in as single vector - the h1-part is just SB ---*/ |
---|
| 1294 | if (*addOnlyOne) |
---|
| 1295 | { |
---|
| 1296 | idSkipZeroes(h4); |
---|
| 1297 | p = h4->m[0]; |
---|
| 1298 | for (i=0;i<IDELEMS(h4)-1;i++) |
---|
| 1299 | { |
---|
| 1300 | h4->m[i] = h4->m[i+1]; |
---|
| 1301 | } |
---|
| 1302 | h4->m[IDELEMS(h4)-1] = p; |
---|
[d30a399] | 1303 | si_opt_1 |= Sy_bit(OPT_SB_1); |
---|
[0f401f] | 1304 | } |
---|
| 1305 | idDelete(&temph1); |
---|
| 1306 | return h4; |
---|
| 1307 | } |
---|
| 1308 | /*2 |
---|
| 1309 | *computes the quotient of h1,h2 |
---|
| 1310 | */ |
---|
| 1311 | ideal idQuot (ideal h1, ideal h2, BOOLEAN h1IsStb, BOOLEAN resultIsIdeal) |
---|
| 1312 | { |
---|
| 1313 | // first check for special case h1:(0) |
---|
| 1314 | if (idIs0(h2)) |
---|
| 1315 | { |
---|
| 1316 | ideal res; |
---|
| 1317 | if (resultIsIdeal) |
---|
| 1318 | { |
---|
| 1319 | res = idInit(1,1); |
---|
| 1320 | res->m[0] = pOne(); |
---|
| 1321 | } |
---|
| 1322 | else |
---|
| 1323 | res = idFreeModule(h1->rank); |
---|
| 1324 | return res; |
---|
| 1325 | } |
---|
[d30a399] | 1326 | BITSET old_test1; |
---|
| 1327 | SI_SAVE_OPT1(old_test1); |
---|
[bca341] | 1328 | int i, kmax; |
---|
[0f401f] | 1329 | BOOLEAN addOnlyOne=TRUE; |
---|
| 1330 | tHomog hom=isNotHomog; |
---|
| 1331 | intvec * weights1; |
---|
| 1332 | |
---|
| 1333 | ideal s_h4 = idInitializeQuot (h1,h2,h1IsStb,&addOnlyOne,&kmax); |
---|
| 1334 | |
---|
| 1335 | hom = (tHomog)idHomModule(s_h4,currQuotient,&weights1); |
---|
| 1336 | |
---|
| 1337 | ring orig_ring=currRing; |
---|
[3f07d1] | 1338 | ring syz_ring=rAssure_SyzComp(orig_ring,TRUE); rChangeCurrRing(syz_ring); |
---|
[b7cfaf] | 1339 | rSetSyzComp(kmax-1,syz_ring); |
---|
[0f401f] | 1340 | if (orig_ring!=syz_ring) |
---|
[b7cfaf] | 1341 | // s_h4 = idrMoveR_NoSort(s_h4,orig_ring, syz_ring); |
---|
| 1342 | s_h4 = idrMoveR(s_h4,orig_ring, syz_ring); |
---|
[0f401f] | 1343 | idTest(s_h4); |
---|
| 1344 | #if 0 |
---|
| 1345 | void ipPrint_MA0(matrix m, const char *name); |
---|
| 1346 | matrix m=idModule2Matrix(idCopy(s_h4)); |
---|
| 1347 | PrintS("start:\n"); |
---|
| 1348 | ipPrint_MA0(m,"Q"); |
---|
| 1349 | idDelete((ideal *)&m); |
---|
| 1350 | PrintS("last elem:");wrp(s_h4->m[IDELEMS(s_h4)-1]);PrintLn(); |
---|
| 1351 | #endif |
---|
| 1352 | ideal s_h3; |
---|
| 1353 | if (addOnlyOne) |
---|
| 1354 | { |
---|
| 1355 | s_h3 = kStd(s_h4,currQuotient,hom,&weights1,NULL,0/*kmax-1*/,IDELEMS(s_h4)-1); |
---|
| 1356 | } |
---|
| 1357 | else |
---|
| 1358 | { |
---|
| 1359 | s_h3 = kStd(s_h4,currQuotient,hom,&weights1,NULL,kmax-1); |
---|
| 1360 | } |
---|
[d30a399] | 1361 | SI_RESTORE_OPT1(old_test1); |
---|
[0f401f] | 1362 | #if 0 |
---|
| 1363 | // only together with the above debug stuff |
---|
| 1364 | idSkipZeroes(s_h3); |
---|
| 1365 | m=idModule2Matrix(idCopy(s_h3)); |
---|
| 1366 | Print("result, kmax=%d:\n",kmax); |
---|
| 1367 | ipPrint_MA0(m,"S"); |
---|
| 1368 | idDelete((ideal *)&m); |
---|
| 1369 | #endif |
---|
| 1370 | idTest(s_h3); |
---|
| 1371 | if (weights1!=NULL) delete weights1; |
---|
| 1372 | idDelete(&s_h4); |
---|
| 1373 | |
---|
| 1374 | for (i=0;i<IDELEMS(s_h3);i++) |
---|
| 1375 | { |
---|
| 1376 | if ((s_h3->m[i]!=NULL) && (pGetComp(s_h3->m[i])>=kmax)) |
---|
| 1377 | { |
---|
| 1378 | if (resultIsIdeal) |
---|
[861529] | 1379 | p_Shift(&s_h3->m[i],-kmax,currRing); |
---|
[0f401f] | 1380 | else |
---|
[861529] | 1381 | p_Shift(&s_h3->m[i],-kmax+1,currRing); |
---|
[0f401f] | 1382 | } |
---|
| 1383 | else |
---|
[f9591a] | 1384 | p_Delete(&s_h3->m[i],currRing); |
---|
[0f401f] | 1385 | } |
---|
| 1386 | if (resultIsIdeal) |
---|
| 1387 | s_h3->rank = 1; |
---|
| 1388 | else |
---|
| 1389 | s_h3->rank = h1->rank; |
---|
| 1390 | if(syz_ring!=orig_ring) |
---|
| 1391 | { |
---|
| 1392 | rChangeCurrRing(orig_ring); |
---|
[b7cfaf] | 1393 | s_h3 = idrMoveR_NoSort(s_h3, syz_ring, orig_ring); |
---|
[5fe834] | 1394 | rDelete(syz_ring); |
---|
[0f401f] | 1395 | } |
---|
| 1396 | idSkipZeroes(s_h3); |
---|
| 1397 | idTest(s_h3); |
---|
| 1398 | return s_h3; |
---|
| 1399 | } |
---|
| 1400 | |
---|
| 1401 | /*2 |
---|
| 1402 | * eliminate delVar (product of vars) in h1 |
---|
| 1403 | */ |
---|
| 1404 | ideal idElimination (ideal h1,poly delVar,intvec *hilb) |
---|
| 1405 | { |
---|
| 1406 | int i,j=0,k,l; |
---|
| 1407 | ideal h,hh, h3; |
---|
| 1408 | int *ord,*block0,*block1; |
---|
| 1409 | int ordersize=2; |
---|
| 1410 | int **wv; |
---|
| 1411 | tHomog hom; |
---|
| 1412 | intvec * w; |
---|
| 1413 | ring tmpR; |
---|
| 1414 | ring origR = currRing; |
---|
| 1415 | |
---|
| 1416 | if (delVar==NULL) |
---|
| 1417 | { |
---|
| 1418 | return idCopy(h1); |
---|
| 1419 | } |
---|
| 1420 | if ((currQuotient!=NULL) && rIsPluralRing(origR)) |
---|
| 1421 | { |
---|
| 1422 | WerrorS("cannot eliminate in a qring"); |
---|
[a5d181c] | 1423 | return NULL; |
---|
[0f401f] | 1424 | } |
---|
| 1425 | if (idIs0(h1)) return idInit(1,h1->rank); |
---|
| 1426 | #ifdef HAVE_PLURAL |
---|
| 1427 | if (rIsPluralRing(origR)) |
---|
| 1428 | /* in the NC case, we have to check the admissibility of */ |
---|
| 1429 | /* the subalgebra to be intersected with */ |
---|
| 1430 | { |
---|
| 1431 | if ((ncRingType(origR) != nc_skew) && (ncRingType(origR) != nc_exterior)) /* in (quasi)-commutative algebras every subalgebra is admissible */ |
---|
| 1432 | { |
---|
| 1433 | if (nc_CheckSubalgebra(delVar,origR)) |
---|
| 1434 | { |
---|
| 1435 | WerrorS("no elimination is possible: subalgebra is not admissible"); |
---|
[a5d181c] | 1436 | return NULL; |
---|
[0f401f] | 1437 | } |
---|
| 1438 | } |
---|
| 1439 | } |
---|
| 1440 | #endif |
---|
| 1441 | hom=(tHomog)idHomModule(h1,NULL,&w); //sets w to weight vector or NULL |
---|
| 1442 | h3=idInit(16,h1->rank); |
---|
| 1443 | for (k=0;; k++) |
---|
| 1444 | { |
---|
| 1445 | if (origR->order[k]!=0) ordersize++; |
---|
| 1446 | else break; |
---|
| 1447 | } |
---|
| 1448 | #if 0 |
---|
| 1449 | if (rIsPluralRing(origR)) // we have too keep the odering: it may be needed |
---|
| 1450 | // for G-algebra |
---|
| 1451 | { |
---|
| 1452 | for (k=0;k<ordersize-1; k++) |
---|
| 1453 | { |
---|
| 1454 | block0[k+1] = origR->block0[k]; |
---|
| 1455 | block1[k+1] = origR->block1[k]; |
---|
| 1456 | ord[k+1] = origR->order[k]; |
---|
| 1457 | if (origR->wvhdl[k]!=NULL) wv[k+1] = (int*) omMemDup(origR->wvhdl[k]); |
---|
| 1458 | } |
---|
| 1459 | } |
---|
| 1460 | else |
---|
| 1461 | { |
---|
| 1462 | block0[1] = 1; |
---|
[1f637e] | 1463 | block1[1] = (currRing->N); |
---|
[0f401f] | 1464 | if (origR->OrdSgn==1) ord[1] = ringorder_wp; |
---|
| 1465 | else ord[1] = ringorder_ws; |
---|
[1f637e] | 1466 | wv[1]=(int*)omAlloc0((currRing->N)*sizeof(int)); |
---|
| 1467 | double wNsqr = (double)2.0 / (double)(currRing->N); |
---|
[0f401f] | 1468 | wFunctional = wFunctionalBuch; |
---|
[1f637e] | 1469 | int *x= (int * )omAlloc(2 * ((currRing->N) + 1) * sizeof(int)); |
---|
[0f401f] | 1470 | int sl=IDELEMS(h1) - 1; |
---|
| 1471 | wCall(h1->m, sl, x, wNsqr); |
---|
[1f637e] | 1472 | for (sl = (currRing->N); sl!=0; sl--) |
---|
| 1473 | wv[1][sl-1] = x[sl + (currRing->N) + 1]; |
---|
| 1474 | omFreeSize((ADDRESS)x, 2 * ((currRing->N) + 1) * sizeof(int)); |
---|
[0f401f] | 1475 | |
---|
| 1476 | ord[2]=ringorder_C; |
---|
| 1477 | ord[3]=0; |
---|
| 1478 | } |
---|
| 1479 | #else |
---|
| 1480 | #endif |
---|
| 1481 | if ((hom==TRUE) && (origR->OrdSgn==1) && (!rIsPluralRing(origR))) |
---|
| 1482 | { |
---|
| 1483 | #if 1 |
---|
| 1484 | // we change to an ordering: |
---|
| 1485 | // aa(1,1,1,...,0,0,0),wp(...),C |
---|
| 1486 | // this seems to be better than version 2 below, |
---|
| 1487 | // according to Tst/../elimiate_[3568].tat (- 17 %) |
---|
| 1488 | ord=(int*)omAlloc0(4*sizeof(int)); |
---|
| 1489 | block0=(int*)omAlloc0(4*sizeof(int)); |
---|
| 1490 | block1=(int*)omAlloc0(4*sizeof(int)); |
---|
| 1491 | wv=(int**) omAlloc0(4*sizeof(int**)); |
---|
| 1492 | block0[0] = block0[1] = 1; |
---|
| 1493 | block1[0] = block1[1] = rVar(origR); |
---|
| 1494 | wv[0]=(int*)omAlloc0((rVar(origR) + 1)*sizeof(int)); |
---|
| 1495 | // use this special ordering: like ringorder_a, except that pFDeg, pWeights |
---|
| 1496 | // ignore it |
---|
| 1497 | ord[0] = ringorder_aa; |
---|
| 1498 | for (j=0;j<rVar(origR);j++) |
---|
| 1499 | if (pGetExp(delVar,j+1)!=0) wv[0][j]=1; |
---|
| 1500 | BOOLEAN wp=FALSE; |
---|
| 1501 | for (j=0;j<rVar(origR);j++) |
---|
| 1502 | if (pWeight(j+1,origR)!=1) { wp=TRUE;break; } |
---|
| 1503 | if (wp) |
---|
| 1504 | { |
---|
| 1505 | wv[1]=(int*)omAlloc0((rVar(origR) + 1)*sizeof(int)); |
---|
| 1506 | for (j=0;j<rVar(origR);j++) |
---|
| 1507 | wv[1][j]=pWeight(j+1,origR); |
---|
| 1508 | ord[1] = ringorder_wp; |
---|
| 1509 | } |
---|
| 1510 | else |
---|
| 1511 | ord[1] = ringorder_dp; |
---|
| 1512 | #else |
---|
| 1513 | // we change to an ordering: |
---|
| 1514 | // a(w1,...wn),wp(1,...0.....),C |
---|
| 1515 | ord=(int*)omAlloc0(4*sizeof(int)); |
---|
| 1516 | block0=(int*)omAlloc0(4*sizeof(int)); |
---|
| 1517 | block1=(int*)omAlloc0(4*sizeof(int)); |
---|
| 1518 | wv=(int**) omAlloc0(4*sizeof(int**)); |
---|
| 1519 | block0[0] = block0[1] = 1; |
---|
| 1520 | block1[0] = block1[1] = rVar(origR); |
---|
| 1521 | wv[0]=(int*)omAlloc0((rVar(origR) + 1)*sizeof(int)); |
---|
| 1522 | wv[1]=(int*)omAlloc0((rVar(origR) + 1)*sizeof(int)); |
---|
| 1523 | ord[0] = ringorder_a; |
---|
| 1524 | for (j=0;j<rVar(origR);j++) |
---|
| 1525 | wv[0][j]=pWeight(j+1,origR); |
---|
| 1526 | ord[1] = ringorder_wp; |
---|
| 1527 | for (j=0;j<rVar(origR);j++) |
---|
| 1528 | if (pGetExp(delVar,j+1)!=0) wv[1][j]=1; |
---|
| 1529 | #endif |
---|
| 1530 | ord[2] = ringorder_C; |
---|
| 1531 | ord[3] = 0; |
---|
| 1532 | } |
---|
| 1533 | else |
---|
| 1534 | { |
---|
| 1535 | // we change to an ordering: |
---|
| 1536 | // aa(....),orig_ordering |
---|
| 1537 | ord=(int*)omAlloc0(ordersize*sizeof(int)); |
---|
| 1538 | block0=(int*)omAlloc0(ordersize*sizeof(int)); |
---|
| 1539 | block1=(int*)omAlloc0(ordersize*sizeof(int)); |
---|
| 1540 | wv=(int**) omAlloc0(ordersize*sizeof(int**)); |
---|
| 1541 | for (k=0;k<ordersize-1; k++) |
---|
| 1542 | { |
---|
| 1543 | block0[k+1] = origR->block0[k]; |
---|
| 1544 | block1[k+1] = origR->block1[k]; |
---|
| 1545 | ord[k+1] = origR->order[k]; |
---|
| 1546 | if (origR->wvhdl[k]!=NULL) wv[k+1] = (int*) omMemDup(origR->wvhdl[k]); |
---|
| 1547 | } |
---|
| 1548 | block0[0] = 1; |
---|
| 1549 | block1[0] = rVar(origR); |
---|
| 1550 | wv[0]=(int*)omAlloc0((rVar(origR) + 1)*sizeof(int)); |
---|
| 1551 | for (j=0;j<rVar(origR);j++) |
---|
| 1552 | if (pGetExp(delVar,j+1)!=0) wv[0][j]=1; |
---|
| 1553 | // use this special ordering: like ringorder_a, except that pFDeg, pWeights |
---|
| 1554 | // ignore it |
---|
| 1555 | ord[0] = ringorder_aa; |
---|
| 1556 | } |
---|
| 1557 | // fill in tmp ring to get back the data later on |
---|
| 1558 | tmpR = rCopy0(origR,FALSE,FALSE); // qring==NULL |
---|
| 1559 | //rUnComplete(tmpR); |
---|
| 1560 | tmpR->p_Procs=NULL; |
---|
| 1561 | tmpR->order = ord; |
---|
| 1562 | tmpR->block0 = block0; |
---|
| 1563 | tmpR->block1 = block1; |
---|
| 1564 | tmpR->wvhdl = wv; |
---|
| 1565 | rComplete(tmpR, 1); |
---|
| 1566 | |
---|
| 1567 | #ifdef HAVE_PLURAL |
---|
| 1568 | /* update nc structure on tmpR */ |
---|
| 1569 | if (rIsPluralRing(origR)) |
---|
| 1570 | { |
---|
| 1571 | if ( nc_rComplete(origR, tmpR, false) ) // no quotient ideal! |
---|
| 1572 | { |
---|
| 1573 | Werror("no elimination is possible: ordering condition is violated"); |
---|
| 1574 | // cleanup |
---|
| 1575 | rDelete(tmpR); |
---|
| 1576 | if (w!=NULL) |
---|
| 1577 | delete w; |
---|
[a5d181c] | 1578 | return NULL; |
---|
[0f401f] | 1579 | } |
---|
| 1580 | } |
---|
| 1581 | #endif |
---|
| 1582 | // change into the new ring |
---|
[1f637e] | 1583 | //pChangeRing((currRing->N),currRing->OrdSgn,ord,block0,block1,wv); |
---|
[0f401f] | 1584 | rChangeCurrRing(tmpR); |
---|
| 1585 | |
---|
| 1586 | //h = idInit(IDELEMS(h1),h1->rank); |
---|
| 1587 | // fetch data from the old ring |
---|
| 1588 | //for (k=0;k<IDELEMS(h1);k++) h->m[k] = prCopyR( h1->m[k], origR); |
---|
| 1589 | h=idrCopyR(h1,origR,currRing); |
---|
| 1590 | if (origR->qideal!=NULL) |
---|
| 1591 | { |
---|
| 1592 | WarnS("eliminate in q-ring: experimental"); |
---|
| 1593 | ideal q=idrCopyR(origR->qideal,origR,currRing); |
---|
| 1594 | ideal s=idSimpleAdd(h,q); |
---|
| 1595 | idDelete(&h); |
---|
| 1596 | idDelete(&q); |
---|
| 1597 | h=s; |
---|
| 1598 | } |
---|
| 1599 | // compute kStd |
---|
| 1600 | #if 1 |
---|
| 1601 | //rWrite(tmpR);PrintLn(); |
---|
[d30a399] | 1602 | //BITSET save1; |
---|
| 1603 | //SI_SAVE_OPT1(save1); |
---|
| 1604 | //si_opt_1 |=1; |
---|
[0f401f] | 1605 | //Print("h: %d gen, rk=%d\n",IDELEMS(h),h->rank); |
---|
| 1606 | //extern char * showOption(); |
---|
| 1607 | //Print("%s\n",showOption()); |
---|
| 1608 | hh = kStd(h,NULL,hom,&w,hilb); |
---|
[d30a399] | 1609 | //SI_RESTORE_OPT1(save1); |
---|
[0f401f] | 1610 | idDelete(&h); |
---|
| 1611 | #else |
---|
| 1612 | extern ideal kGroebner(ideal F, ideal Q); |
---|
| 1613 | hh=kGroebner(h,NULL); |
---|
| 1614 | #endif |
---|
| 1615 | // go back to the original ring |
---|
| 1616 | rChangeCurrRing(origR); |
---|
| 1617 | i = IDELEMS(hh)-1; |
---|
| 1618 | while ((i >= 0) && (hh->m[i] == NULL)) i--; |
---|
| 1619 | j = -1; |
---|
| 1620 | // fetch data from temp ring |
---|
| 1621 | for (k=0; k<=i; k++) |
---|
| 1622 | { |
---|
[1f637e] | 1623 | l=(currRing->N); |
---|
[0f401f] | 1624 | while ((l>0) && (p_GetExp( hh->m[k],l,tmpR)*pGetExp(delVar,l)==0)) l--; |
---|
| 1625 | if (l==0) |
---|
| 1626 | { |
---|
| 1627 | j++; |
---|
| 1628 | if (j >= IDELEMS(h3)) |
---|
| 1629 | { |
---|
| 1630 | pEnlargeSet(&(h3->m),IDELEMS(h3),16); |
---|
| 1631 | IDELEMS(h3) += 16; |
---|
| 1632 | } |
---|
[b7cfaf] | 1633 | h3->m[j] = prMoveR( hh->m[k], tmpR,origR); |
---|
[0f401f] | 1634 | hh->m[k] = NULL; |
---|
| 1635 | } |
---|
| 1636 | } |
---|
| 1637 | id_Delete(&hh, tmpR); |
---|
| 1638 | idSkipZeroes(h3); |
---|
| 1639 | rDelete(tmpR); |
---|
| 1640 | if (w!=NULL) |
---|
| 1641 | delete w; |
---|
| 1642 | return h3; |
---|
| 1643 | } |
---|
| 1644 | |
---|
| 1645 | /*2 |
---|
| 1646 | * compute the which-th ar-minor of the matrix a |
---|
| 1647 | */ |
---|
| 1648 | poly idMinor(matrix a, int ar, unsigned long which, ideal R) |
---|
| 1649 | { |
---|
[cd4f24] | 1650 | int i,j/*,k,size*/; |
---|
[0f401f] | 1651 | unsigned long curr; |
---|
| 1652 | int *rowchoise,*colchoise; |
---|
| 1653 | BOOLEAN rowch,colch; |
---|
[cd4f24] | 1654 | // ideal result; |
---|
[0f401f] | 1655 | matrix tmp; |
---|
| 1656 | poly p,q; |
---|
| 1657 | |
---|
| 1658 | i = binom(a->rows(),ar); |
---|
| 1659 | j = binom(a->cols(),ar); |
---|
| 1660 | |
---|
| 1661 | rowchoise=(int *)omAlloc(ar*sizeof(int)); |
---|
| 1662 | colchoise=(int *)omAlloc(ar*sizeof(int)); |
---|
[cd4f24] | 1663 | // if ((i>512) || (j>512) || (i*j >512)) size=512; |
---|
| 1664 | // else size=i*j; |
---|
| 1665 | // result=idInit(size,1); |
---|
[0f401f] | 1666 | tmp=mpNew(ar,ar); |
---|
[cd4f24] | 1667 | // k = 0; /* the index in result*/ |
---|
[0f401f] | 1668 | curr = 0; /* index of current minor */ |
---|
| 1669 | idInitChoise(ar,1,a->rows(),&rowch,rowchoise); |
---|
| 1670 | while (!rowch) |
---|
| 1671 | { |
---|
| 1672 | idInitChoise(ar,1,a->cols(),&colch,colchoise); |
---|
| 1673 | while (!colch) |
---|
| 1674 | { |
---|
| 1675 | if (curr == which) |
---|
| 1676 | { |
---|
| 1677 | for (i=1; i<=ar; i++) |
---|
| 1678 | { |
---|
| 1679 | for (j=1; j<=ar; j++) |
---|
| 1680 | { |
---|
| 1681 | MATELEM(tmp,i,j) = MATELEM(a,rowchoise[i-1],colchoise[j-1]); |
---|
| 1682 | } |
---|
| 1683 | } |
---|
[441a2e] | 1684 | p = mp_DetBareiss(tmp,currRing); |
---|
[0f401f] | 1685 | if (p!=NULL) |
---|
| 1686 | { |
---|
| 1687 | if (R!=NULL) |
---|
| 1688 | { |
---|
| 1689 | q = p; |
---|
| 1690 | p = kNF(R,currQuotient,q); |
---|
[f9591a] | 1691 | p_Delete(&q,currRing); |
---|
[0f401f] | 1692 | } |
---|
| 1693 | /*delete the matrix tmp*/ |
---|
| 1694 | for (i=1; i<=ar; i++) |
---|
| 1695 | { |
---|
| 1696 | for (j=1; j<=ar; j++) MATELEM(tmp,i,j) = NULL; |
---|
| 1697 | } |
---|
| 1698 | idDelete((ideal*)&tmp); |
---|
| 1699 | omFreeSize((ADDRESS)rowchoise,ar*sizeof(int)); |
---|
| 1700 | omFreeSize((ADDRESS)colchoise,ar*sizeof(int)); |
---|
| 1701 | return (p); |
---|
| 1702 | } |
---|
| 1703 | } |
---|
| 1704 | curr++; |
---|
| 1705 | idGetNextChoise(ar,a->cols(),&colch,colchoise); |
---|
| 1706 | } |
---|
| 1707 | idGetNextChoise(ar,a->rows(),&rowch,rowchoise); |
---|
| 1708 | } |
---|
| 1709 | return (poly) 1; |
---|
| 1710 | } |
---|
| 1711 | |
---|
| 1712 | #ifdef WITH_OLD_MINOR |
---|
| 1713 | /*2 |
---|
| 1714 | * compute all ar-minors of the matrix a |
---|
| 1715 | */ |
---|
| 1716 | ideal idMinors(matrix a, int ar, ideal R) |
---|
| 1717 | { |
---|
[cd4f24] | 1718 | int i,j,/*k,*/size; |
---|
[0f401f] | 1719 | int *rowchoise,*colchoise; |
---|
| 1720 | BOOLEAN rowch,colch; |
---|
| 1721 | ideal result; |
---|
| 1722 | matrix tmp; |
---|
| 1723 | poly p,q; |
---|
| 1724 | |
---|
| 1725 | i = binom(a->rows(),ar); |
---|
| 1726 | j = binom(a->cols(),ar); |
---|
| 1727 | |
---|
| 1728 | rowchoise=(int *)omAlloc(ar*sizeof(int)); |
---|
| 1729 | colchoise=(int *)omAlloc(ar*sizeof(int)); |
---|
| 1730 | if ((i>512) || (j>512) || (i*j >512)) size=512; |
---|
| 1731 | else size=i*j; |
---|
| 1732 | result=idInit(size,1); |
---|
| 1733 | tmp=mpNew(ar,ar); |
---|
[cd4f24] | 1734 | // k = 0; /* the index in result*/ |
---|
[0f401f] | 1735 | idInitChoise(ar,1,a->rows(),&rowch,rowchoise); |
---|
| 1736 | while (!rowch) |
---|
| 1737 | { |
---|
| 1738 | idInitChoise(ar,1,a->cols(),&colch,colchoise); |
---|
| 1739 | while (!colch) |
---|
| 1740 | { |
---|
| 1741 | for (i=1; i<=ar; i++) |
---|
| 1742 | { |
---|
| 1743 | for (j=1; j<=ar; j++) |
---|
| 1744 | { |
---|
| 1745 | MATELEM(tmp,i,j) = MATELEM(a,rowchoise[i-1],colchoise[j-1]); |
---|
| 1746 | } |
---|
| 1747 | } |
---|
[441a2e] | 1748 | p = mp_DetBareiss(tmp,vcurrRing); |
---|
[0f401f] | 1749 | if (p!=NULL) |
---|
| 1750 | { |
---|
| 1751 | if (R!=NULL) |
---|
| 1752 | { |
---|
| 1753 | q = p; |
---|
| 1754 | p = kNF(R,currQuotient,q); |
---|
[f9591a] | 1755 | p_Delete(&q,currRing); |
---|
[0f401f] | 1756 | } |
---|
| 1757 | if (p!=NULL) |
---|
| 1758 | { |
---|
| 1759 | if (k>=size) |
---|
| 1760 | { |
---|
| 1761 | pEnlargeSet(&result->m,size,32); |
---|
| 1762 | size += 32; |
---|
| 1763 | } |
---|
| 1764 | result->m[k] = p; |
---|
| 1765 | k++; |
---|
| 1766 | } |
---|
| 1767 | } |
---|
| 1768 | idGetNextChoise(ar,a->cols(),&colch,colchoise); |
---|
| 1769 | } |
---|
| 1770 | idGetNextChoise(ar,a->rows(),&rowch,rowchoise); |
---|
| 1771 | } |
---|
| 1772 | /*delete the matrix tmp*/ |
---|
| 1773 | for (i=1; i<=ar; i++) |
---|
| 1774 | { |
---|
| 1775 | for (j=1; j<=ar; j++) MATELEM(tmp,i,j) = NULL; |
---|
| 1776 | } |
---|
| 1777 | idDelete((ideal*)&tmp); |
---|
| 1778 | if (k==0) |
---|
| 1779 | { |
---|
| 1780 | k=1; |
---|
| 1781 | result->m[0]=NULL; |
---|
| 1782 | } |
---|
| 1783 | omFreeSize((ADDRESS)rowchoise,ar*sizeof(int)); |
---|
| 1784 | omFreeSize((ADDRESS)colchoise,ar*sizeof(int)); |
---|
| 1785 | pEnlargeSet(&result->m,size,k-size); |
---|
| 1786 | IDELEMS(result) = k; |
---|
| 1787 | return (result); |
---|
| 1788 | } |
---|
| 1789 | #else |
---|
| 1790 | /*2 |
---|
| 1791 | * compute all ar-minors of the matrix a |
---|
| 1792 | * the caller of mpRecMin |
---|
| 1793 | * the elements of the result are not in R (if R!=NULL) |
---|
| 1794 | */ |
---|
| 1795 | ideal idMinors(matrix a, int ar, ideal R) |
---|
| 1796 | { |
---|
| 1797 | int elems=0; |
---|
| 1798 | int r=a->nrows,c=a->ncols; |
---|
| 1799 | int i; |
---|
| 1800 | matrix b; |
---|
| 1801 | ideal result,h; |
---|
[46008c] | 1802 | ring origR=currRing; |
---|
[0f401f] | 1803 | ring tmpR; |
---|
| 1804 | long bound; |
---|
| 1805 | |
---|
| 1806 | if((ar<=0) || (ar>r) || (ar>c)) |
---|
| 1807 | { |
---|
| 1808 | Werror("%d-th minor, matrix is %dx%d",ar,r,c); |
---|
| 1809 | return NULL; |
---|
| 1810 | } |
---|
[46008c] | 1811 | h = id_Matrix2Module(mp_Copy(a,origR),origR); |
---|
| 1812 | bound = sm_ExpBound(h,c,r,ar,origR); |
---|
[0f401f] | 1813 | idDelete(&h); |
---|
[441a2e] | 1814 | tmpR=sm_RingChange(origR,bound); |
---|
[0f401f] | 1815 | b = mpNew(r,c); |
---|
| 1816 | for (i=r*c-1;i>=0;i--) |
---|
| 1817 | { |
---|
| 1818 | if (a->m[i]) |
---|
[46008c] | 1819 | b->m[i] = prCopyR(a->m[i],origR,tmpR); |
---|
[0f401f] | 1820 | } |
---|
| 1821 | if (R!=NULL) |
---|
| 1822 | { |
---|
[46008c] | 1823 | R = idrCopyR(R,origR,tmpR); |
---|
[0f401f] | 1824 | //if (ar>1) // otherwise done in mpMinorToResult |
---|
| 1825 | //{ |
---|
| 1826 | // matrix bb=(matrix)kNF(R,currQuotient,(ideal)b); |
---|
| 1827 | // bb->rank=b->rank; bb->nrows=b->nrows; bb->ncols=b->ncols; |
---|
| 1828 | // idDelete((ideal*)&b); b=bb; |
---|
| 1829 | //} |
---|
| 1830 | } |
---|
| 1831 | result=idInit(32,1); |
---|
[46008c] | 1832 | if(ar>1) mp_RecMin(ar-1,result,elems,b,r,c,NULL,R,tmpR); |
---|
| 1833 | else mp_MinorToResult(result,elems,b,r,c,R,tmpR); |
---|
[0f401f] | 1834 | idDelete((ideal *)&b); |
---|
| 1835 | if (R!=NULL) idDelete(&R); |
---|
| 1836 | idSkipZeroes(result); |
---|
| 1837 | rChangeCurrRing(origR); |
---|
[441a2e] | 1838 | result = idrMoveR(result,tmpR,origR); |
---|
[d16ea9] | 1839 | sm_KillModifiedRing(tmpR); |
---|
[0f401f] | 1840 | idTest(result); |
---|
| 1841 | return result; |
---|
| 1842 | } |
---|
| 1843 | #endif |
---|
| 1844 | |
---|
| 1845 | /*2 |
---|
| 1846 | *returns TRUE if id1 is a submodule of id2 |
---|
| 1847 | */ |
---|
| 1848 | BOOLEAN idIsSubModule(ideal id1,ideal id2) |
---|
| 1849 | { |
---|
| 1850 | int i; |
---|
| 1851 | poly p; |
---|
| 1852 | |
---|
| 1853 | if (idIs0(id1)) return TRUE; |
---|
| 1854 | for (i=0;i<IDELEMS(id1);i++) |
---|
| 1855 | { |
---|
| 1856 | if (id1->m[i] != NULL) |
---|
| 1857 | { |
---|
| 1858 | p = kNF(id2,currQuotient,id1->m[i]); |
---|
| 1859 | if (p != NULL) |
---|
| 1860 | { |
---|
[f9591a] | 1861 | p_Delete(&p,currRing); |
---|
[0f401f] | 1862 | return FALSE; |
---|
| 1863 | } |
---|
| 1864 | } |
---|
| 1865 | } |
---|
| 1866 | return TRUE; |
---|
| 1867 | } |
---|
| 1868 | |
---|
| 1869 | BOOLEAN idTestHomModule(ideal m, ideal Q, intvec *w) |
---|
| 1870 | { |
---|
| 1871 | if ((Q!=NULL) && (!idHomIdeal(Q,NULL))) { PrintS(" Q not hom\n"); return FALSE;} |
---|
| 1872 | if (idIs0(m)) return TRUE; |
---|
| 1873 | |
---|
| 1874 | int cmax=-1; |
---|
| 1875 | int i; |
---|
| 1876 | poly p=NULL; |
---|
| 1877 | int length=IDELEMS(m); |
---|
| 1878 | polyset P=m->m; |
---|
| 1879 | for (i=length-1;i>=0;i--) |
---|
| 1880 | { |
---|
| 1881 | p=P[i]; |
---|
| 1882 | if (p!=NULL) cmax=si_max(cmax,(int)pMaxComp(p)+1); |
---|
| 1883 | } |
---|
| 1884 | if (w != NULL) |
---|
| 1885 | if (w->length()+1 < cmax) |
---|
| 1886 | { |
---|
| 1887 | // Print("length: %d - %d \n", w->length(),cmax); |
---|
| 1888 | return FALSE; |
---|
| 1889 | } |
---|
| 1890 | |
---|
| 1891 | if(w!=NULL) |
---|
[e1215e] | 1892 | p_SetModDeg(w, currRing); |
---|
[0f401f] | 1893 | |
---|
| 1894 | for (i=length-1;i>=0;i--) |
---|
| 1895 | { |
---|
| 1896 | p=P[i]; |
---|
| 1897 | if (p!=NULL) |
---|
| 1898 | { |
---|
[b7cfaf] | 1899 | int d=currRing->pFDeg(p,currRing); |
---|
[0f401f] | 1900 | loop |
---|
| 1901 | { |
---|
| 1902 | pIter(p); |
---|
| 1903 | if (p==NULL) break; |
---|
[b7cfaf] | 1904 | if (d!=currRing->pFDeg(p,currRing)) |
---|
[0f401f] | 1905 | { |
---|
| 1906 | //pWrite(q); wrp(p); Print(" -> %d - %d\n",d,pFDeg(p,currRing)); |
---|
| 1907 | if(w!=NULL) |
---|
[e1215e] | 1908 | p_SetModDeg(NULL, currRing); |
---|
[0f401f] | 1909 | return FALSE; |
---|
| 1910 | } |
---|
| 1911 | } |
---|
| 1912 | } |
---|
| 1913 | } |
---|
| 1914 | |
---|
| 1915 | if(w!=NULL) |
---|
[e1215e] | 1916 | p_SetModDeg(NULL, currRing); |
---|
[0f401f] | 1917 | |
---|
| 1918 | return TRUE; |
---|
| 1919 | } |
---|
| 1920 | |
---|
| 1921 | ideal idSeries(int n,ideal M,matrix U,intvec *w) |
---|
| 1922 | { |
---|
| 1923 | for(int i=IDELEMS(M)-1;i>=0;i--) |
---|
| 1924 | { |
---|
| 1925 | if(U==NULL) |
---|
| 1926 | M->m[i]=pSeries(n,M->m[i],NULL,w); |
---|
| 1927 | else |
---|
| 1928 | { |
---|
| 1929 | M->m[i]=pSeries(n,M->m[i],MATELEM(U,i+1,i+1),w); |
---|
| 1930 | MATELEM(U,i+1,i+1)=NULL; |
---|
| 1931 | } |
---|
| 1932 | } |
---|
| 1933 | if(U!=NULL) |
---|
| 1934 | idDelete((ideal*)&U); |
---|
| 1935 | return M; |
---|
| 1936 | } |
---|
| 1937 | |
---|
| 1938 | matrix idDiff(matrix i, int k) |
---|
| 1939 | { |
---|
| 1940 | int e=MATCOLS(i)*MATROWS(i); |
---|
| 1941 | matrix r=mpNew(MATROWS(i),MATCOLS(i)); |
---|
| 1942 | r->rank=i->rank; |
---|
| 1943 | int j; |
---|
| 1944 | for(j=0; j<e; j++) |
---|
| 1945 | { |
---|
| 1946 | r->m[j]=pDiff(i->m[j],k); |
---|
| 1947 | } |
---|
| 1948 | return r; |
---|
| 1949 | } |
---|
| 1950 | |
---|
| 1951 | matrix idDiffOp(ideal I, ideal J,BOOLEAN multiply) |
---|
| 1952 | { |
---|
| 1953 | matrix r=mpNew(IDELEMS(I),IDELEMS(J)); |
---|
| 1954 | int i,j; |
---|
| 1955 | for(i=0; i<IDELEMS(I); i++) |
---|
| 1956 | { |
---|
| 1957 | for(j=0; j<IDELEMS(J); j++) |
---|
| 1958 | { |
---|
| 1959 | MATELEM(r,i+1,j+1)=pDiffOp(I->m[i],J->m[j],multiply); |
---|
| 1960 | } |
---|
| 1961 | } |
---|
| 1962 | return r; |
---|
| 1963 | } |
---|
| 1964 | |
---|
| 1965 | /*3 |
---|
| 1966 | *handles for some ideal operations the ring/syzcomp managment |
---|
| 1967 | *returns all syzygies (componentwise-)shifted by -syzcomp |
---|
| 1968 | *or -syzcomp-1 (in case of ideals as input) |
---|
| 1969 | static ideal idHandleIdealOp(ideal arg,int syzcomp,int isIdeal=FALSE) |
---|
| 1970 | { |
---|
| 1971 | ring orig_ring=currRing; |
---|
[3f07d1] | 1972 | ring syz_ring=rAssure_SyzComp(orig_ring, TRUE); rChangeCurrRing(syz_ring); |
---|
| 1973 | rSetSyzComp(length, syz_ring); |
---|
[0f401f] | 1974 | |
---|
| 1975 | ideal s_temp; |
---|
| 1976 | if (orig_ring!=syz_ring) |
---|
[b7cfaf] | 1977 | s_temp=idrMoveR_NoSort(arg,orig_ring, syz_ring); |
---|
[0f401f] | 1978 | else |
---|
| 1979 | s_temp=arg; |
---|
| 1980 | |
---|
| 1981 | ideal s_temp1 = kStd(s_temp,currQuotient,testHomog,&w,NULL,length); |
---|
| 1982 | if (w!=NULL) delete w; |
---|
| 1983 | |
---|
| 1984 | if (syz_ring!=orig_ring) |
---|
| 1985 | { |
---|
| 1986 | idDelete(&s_temp); |
---|
| 1987 | rChangeCurrRing(orig_ring); |
---|
| 1988 | } |
---|
| 1989 | |
---|
| 1990 | idDelete(&temp); |
---|
| 1991 | ideal temp1=idRingCopy(s_temp1,syz_ring); |
---|
| 1992 | |
---|
| 1993 | if (syz_ring!=orig_ring) |
---|
| 1994 | { |
---|
| 1995 | rChangeCurrRing(syz_ring); |
---|
| 1996 | idDelete(&s_temp1); |
---|
| 1997 | rChangeCurrRing(orig_ring); |
---|
[5fe834] | 1998 | rDelete(syz_ring); |
---|
[0f401f] | 1999 | } |
---|
| 2000 | |
---|
| 2001 | for (i=0;i<IDELEMS(temp1);i++) |
---|
| 2002 | { |
---|
| 2003 | if ((temp1->m[i]!=NULL) |
---|
| 2004 | && (pGetComp(temp1->m[i])<=length)) |
---|
| 2005 | { |
---|
| 2006 | pDelete(&(temp1->m[i])); |
---|
| 2007 | } |
---|
| 2008 | else |
---|
| 2009 | { |
---|
[861529] | 2010 | p_Shift(&(temp1->m[i]),-length,currRing); |
---|
[0f401f] | 2011 | } |
---|
| 2012 | } |
---|
| 2013 | temp1->rank = rk; |
---|
| 2014 | idSkipZeroes(temp1); |
---|
| 2015 | |
---|
| 2016 | return temp1; |
---|
| 2017 | } |
---|
| 2018 | */ |
---|
| 2019 | /*2 |
---|
| 2020 | * represents (h1+h2)/h2=h1/(h1 intersect h2) |
---|
| 2021 | */ |
---|
| 2022 | //ideal idModulo (ideal h2,ideal h1) |
---|
| 2023 | ideal idModulo (ideal h2,ideal h1, tHomog hom, intvec ** w) |
---|
| 2024 | { |
---|
| 2025 | intvec *wtmp=NULL; |
---|
| 2026 | |
---|
[bca341] | 2027 | int i,k,rk,flength=0,slength,length; |
---|
[0f401f] | 2028 | poly p,q; |
---|
| 2029 | |
---|
| 2030 | if (idIs0(h2)) |
---|
| 2031 | return idFreeModule(si_max(1,h2->ncols)); |
---|
| 2032 | if (!idIs0(h1)) |
---|
[7b25fe] | 2033 | flength = id_RankFreeModule(h1,currRing); |
---|
| 2034 | slength = id_RankFreeModule(h2,currRing); |
---|
[0f401f] | 2035 | length = si_max(flength,slength); |
---|
| 2036 | if (length==0) |
---|
| 2037 | { |
---|
| 2038 | length = 1; |
---|
| 2039 | } |
---|
| 2040 | ideal temp = idInit(IDELEMS(h2),length+IDELEMS(h2)); |
---|
| 2041 | if ((w!=NULL)&&((*w)!=NULL)) |
---|
| 2042 | { |
---|
| 2043 | //Print("input weights:");(*w)->show(1);PrintLn(); |
---|
| 2044 | int d; |
---|
| 2045 | int k; |
---|
| 2046 | wtmp=new intvec(length+IDELEMS(h2)); |
---|
| 2047 | for (i=0;i<length;i++) |
---|
| 2048 | ((*wtmp)[i])=(**w)[i]; |
---|
| 2049 | for (i=0;i<IDELEMS(h2);i++) |
---|
| 2050 | { |
---|
| 2051 | poly p=h2->m[i]; |
---|
| 2052 | if (p!=NULL) |
---|
| 2053 | { |
---|
[31f1850] | 2054 | d = p_Deg(p,currRing); |
---|
[0f401f] | 2055 | k= pGetComp(p); |
---|
| 2056 | if (slength>0) k--; |
---|
| 2057 | d +=((**w)[k]); |
---|
| 2058 | ((*wtmp)[i+length]) = d; |
---|
| 2059 | } |
---|
| 2060 | } |
---|
| 2061 | //Print("weights:");wtmp->show(1);PrintLn(); |
---|
| 2062 | } |
---|
| 2063 | for (i=0;i<IDELEMS(h2);i++) |
---|
| 2064 | { |
---|
| 2065 | temp->m[i] = pCopy(h2->m[i]); |
---|
| 2066 | q = pOne(); |
---|
| 2067 | pSetComp(q,i+1+length); |
---|
| 2068 | pSetmComp(q); |
---|
| 2069 | if(temp->m[i]!=NULL) |
---|
| 2070 | { |
---|
[861529] | 2071 | if (slength==0) p_Shift(&(temp->m[i]),1,currRing); |
---|
[0f401f] | 2072 | p = temp->m[i]; |
---|
| 2073 | while (pNext(p)!=NULL) pIter(p); |
---|
| 2074 | pNext(p) = q; |
---|
| 2075 | } |
---|
| 2076 | else |
---|
| 2077 | temp->m[i]=q; |
---|
| 2078 | } |
---|
| 2079 | rk = k = IDELEMS(h2); |
---|
| 2080 | if (!idIs0(h1)) |
---|
| 2081 | { |
---|
| 2082 | pEnlargeSet(&(temp->m),IDELEMS(temp),IDELEMS(h1)); |
---|
| 2083 | IDELEMS(temp) += IDELEMS(h1); |
---|
| 2084 | for (i=0;i<IDELEMS(h1);i++) |
---|
| 2085 | { |
---|
| 2086 | if (h1->m[i]!=NULL) |
---|
| 2087 | { |
---|
| 2088 | temp->m[k] = pCopy(h1->m[i]); |
---|
[861529] | 2089 | if (flength==0) p_Shift(&(temp->m[k]),1,currRing); |
---|
[0f401f] | 2090 | k++; |
---|
| 2091 | } |
---|
| 2092 | } |
---|
| 2093 | } |
---|
| 2094 | |
---|
| 2095 | ring orig_ring=currRing; |
---|
[3f07d1] | 2096 | ring syz_ring=rAssure_SyzComp(orig_ring, TRUE); rChangeCurrRing(syz_ring); |
---|
[b7cfaf] | 2097 | rSetSyzComp(length, syz_ring); |
---|
[0f401f] | 2098 | ideal s_temp; |
---|
| 2099 | |
---|
| 2100 | if (syz_ring != orig_ring) |
---|
| 2101 | { |
---|
[b7cfaf] | 2102 | s_temp = idrMoveR_NoSort(temp, orig_ring, syz_ring); |
---|
[0f401f] | 2103 | } |
---|
| 2104 | else |
---|
| 2105 | { |
---|
| 2106 | s_temp = temp; |
---|
| 2107 | } |
---|
| 2108 | |
---|
| 2109 | idTest(s_temp); |
---|
| 2110 | ideal s_temp1 = kStd(s_temp,currQuotient,hom,&wtmp,NULL,length); |
---|
| 2111 | |
---|
| 2112 | //if (wtmp!=NULL) Print("output weights:");wtmp->show(1);PrintLn(); |
---|
| 2113 | if ((w!=NULL) && (*w !=NULL) && (wtmp!=NULL)) |
---|
| 2114 | { |
---|
| 2115 | delete *w; |
---|
| 2116 | *w=new intvec(IDELEMS(h2)); |
---|
| 2117 | for (i=0;i<IDELEMS(h2);i++) |
---|
| 2118 | ((**w)[i])=(*wtmp)[i+length]; |
---|
| 2119 | } |
---|
| 2120 | if (wtmp!=NULL) delete wtmp; |
---|
| 2121 | |
---|
| 2122 | for (i=0;i<IDELEMS(s_temp1);i++) |
---|
| 2123 | { |
---|
| 2124 | if ((s_temp1->m[i]!=NULL) |
---|
[d30a399] | 2125 | && (((int)pGetComp(s_temp1->m[i]))<=length)) |
---|
[0f401f] | 2126 | { |
---|
[f9591a] | 2127 | p_Delete(&(s_temp1->m[i]),currRing); |
---|
[0f401f] | 2128 | } |
---|
| 2129 | else |
---|
| 2130 | { |
---|
[861529] | 2131 | p_Shift(&(s_temp1->m[i]),-length,currRing); |
---|
[0f401f] | 2132 | } |
---|
| 2133 | } |
---|
| 2134 | s_temp1->rank = rk; |
---|
| 2135 | idSkipZeroes(s_temp1); |
---|
| 2136 | |
---|
| 2137 | if (syz_ring!=orig_ring) |
---|
| 2138 | { |
---|
| 2139 | rChangeCurrRing(orig_ring); |
---|
[b7cfaf] | 2140 | s_temp1 = idrMoveR_NoSort(s_temp1, syz_ring, orig_ring); |
---|
[5fe834] | 2141 | rDelete(syz_ring); |
---|
[0f401f] | 2142 | // Hmm ... here seems to be a memory leak |
---|
| 2143 | // However, simply deleting it causes memory trouble |
---|
| 2144 | // idDelete(&s_temp); |
---|
| 2145 | } |
---|
| 2146 | else |
---|
| 2147 | { |
---|
| 2148 | idDelete(&temp); |
---|
| 2149 | } |
---|
| 2150 | idTest(s_temp1); |
---|
| 2151 | return s_temp1; |
---|
| 2152 | } |
---|
| 2153 | |
---|
| 2154 | /* |
---|
| 2155 | *computes module-weights for liftings of homogeneous modules |
---|
| 2156 | */ |
---|
| 2157 | intvec * idMWLift(ideal mod,intvec * weights) |
---|
| 2158 | { |
---|
| 2159 | if (idIs0(mod)) return new intvec(2); |
---|
| 2160 | int i=IDELEMS(mod); |
---|
| 2161 | while ((i>0) && (mod->m[i-1]==NULL)) i--; |
---|
| 2162 | intvec *result = new intvec(i+1); |
---|
| 2163 | while (i>0) |
---|
| 2164 | { |
---|
[b7cfaf] | 2165 | (*result)[i]=currRing->pFDeg(mod->m[i],currRing)+(*weights)[pGetComp(mod->m[i])]; |
---|
[0f401f] | 2166 | } |
---|
| 2167 | return result; |
---|
| 2168 | } |
---|
| 2169 | |
---|
| 2170 | /*2 |
---|
| 2171 | *sorts the kbase for idCoef* in a special way (lexicographically |
---|
| 2172 | *with x_max,...,x_1) |
---|
| 2173 | */ |
---|
| 2174 | ideal idCreateSpecialKbase(ideal kBase,intvec ** convert) |
---|
| 2175 | { |
---|
| 2176 | int i; |
---|
| 2177 | ideal result; |
---|
| 2178 | |
---|
| 2179 | if (idIs0(kBase)) return NULL; |
---|
| 2180 | result = idInit(IDELEMS(kBase),kBase->rank); |
---|
| 2181 | *convert = idSort(kBase,FALSE); |
---|
| 2182 | for (i=0;i<(*convert)->length();i++) |
---|
| 2183 | { |
---|
| 2184 | result->m[i] = pCopy(kBase->m[(**convert)[i]-1]); |
---|
| 2185 | } |
---|
| 2186 | return result; |
---|
| 2187 | } |
---|
| 2188 | |
---|
| 2189 | /*2 |
---|
| 2190 | *returns the index of a given monom in the list of the special kbase |
---|
| 2191 | */ |
---|
| 2192 | int idIndexOfKBase(poly monom, ideal kbase) |
---|
| 2193 | { |
---|
| 2194 | int j=IDELEMS(kbase); |
---|
| 2195 | |
---|
| 2196 | while ((j>0) && (kbase->m[j-1]==NULL)) j--; |
---|
| 2197 | if (j==0) return -1; |
---|
[1f637e] | 2198 | int i=(currRing->N); |
---|
[0f401f] | 2199 | while (i>0) |
---|
| 2200 | { |
---|
| 2201 | loop |
---|
| 2202 | { |
---|
| 2203 | if (pGetExp(monom,i)>pGetExp(kbase->m[j-1],i)) return -1; |
---|
| 2204 | if (pGetExp(monom,i)==pGetExp(kbase->m[j-1],i)) break; |
---|
| 2205 | j--; |
---|
| 2206 | if (j==0) return -1; |
---|
| 2207 | } |
---|
| 2208 | if (i==1) |
---|
| 2209 | { |
---|
| 2210 | while(j>0) |
---|
| 2211 | { |
---|
| 2212 | if (pGetComp(monom)==pGetComp(kbase->m[j-1])) return j-1; |
---|
| 2213 | if (pGetComp(monom)>pGetComp(kbase->m[j-1])) return -1; |
---|
| 2214 | j--; |
---|
| 2215 | } |
---|
| 2216 | } |
---|
| 2217 | i--; |
---|
| 2218 | } |
---|
| 2219 | return -1; |
---|
| 2220 | } |
---|
| 2221 | |
---|
| 2222 | /*2 |
---|
| 2223 | *decomposes the monom in a part of coefficients described by the |
---|
| 2224 | *complement of how and a monom in variables occuring in how, the |
---|
| 2225 | *index of which in kbase is returned as integer pos (-1 if it don't |
---|
| 2226 | *exists) |
---|
| 2227 | */ |
---|
| 2228 | poly idDecompose(poly monom, poly how, ideal kbase, int * pos) |
---|
| 2229 | { |
---|
| 2230 | int i; |
---|
| 2231 | poly coeff=pOne(), base=pOne(); |
---|
| 2232 | |
---|
[1f637e] | 2233 | for (i=1;i<=(currRing->N);i++) |
---|
[0f401f] | 2234 | { |
---|
| 2235 | if (pGetExp(how,i)>0) |
---|
| 2236 | { |
---|
| 2237 | pSetExp(base,i,pGetExp(monom,i)); |
---|
| 2238 | } |
---|
| 2239 | else |
---|
| 2240 | { |
---|
| 2241 | pSetExp(coeff,i,pGetExp(monom,i)); |
---|
| 2242 | } |
---|
| 2243 | } |
---|
| 2244 | pSetComp(base,pGetComp(monom)); |
---|
| 2245 | pSetm(base); |
---|
| 2246 | pSetCoeff(coeff,nCopy(pGetCoeff(monom))); |
---|
| 2247 | pSetm(coeff); |
---|
| 2248 | *pos = idIndexOfKBase(base,kbase); |
---|
| 2249 | if (*pos<0) |
---|
[f9591a] | 2250 | p_Delete(&coeff,currRing); |
---|
| 2251 | p_Delete(&base,currRing); |
---|
[0f401f] | 2252 | return coeff; |
---|
| 2253 | } |
---|
| 2254 | |
---|
| 2255 | /*2 |
---|
| 2256 | *returns a matrix A of coefficients with kbase*A=arg |
---|
| 2257 | *if all monomials in variables of how occur in kbase |
---|
| 2258 | *the other are deleted |
---|
| 2259 | */ |
---|
| 2260 | matrix idCoeffOfKBase(ideal arg, ideal kbase, poly how) |
---|
| 2261 | { |
---|
| 2262 | matrix result; |
---|
| 2263 | ideal tempKbase; |
---|
| 2264 | poly p,q; |
---|
| 2265 | intvec * convert; |
---|
| 2266 | int i=IDELEMS(kbase),j=IDELEMS(arg),k,pos; |
---|
| 2267 | #if 0 |
---|
| 2268 | while ((i>0) && (kbase->m[i-1]==NULL)) i--; |
---|
| 2269 | if (idIs0(arg)) |
---|
| 2270 | return mpNew(i,1); |
---|
| 2271 | while ((j>0) && (arg->m[j-1]==NULL)) j--; |
---|
| 2272 | result = mpNew(i,j); |
---|
| 2273 | #else |
---|
| 2274 | result = mpNew(i, j); |
---|
| 2275 | while ((j>0) && (arg->m[j-1]==NULL)) j--; |
---|
| 2276 | #endif |
---|
| 2277 | |
---|
| 2278 | tempKbase = idCreateSpecialKbase(kbase,&convert); |
---|
| 2279 | for (k=0;k<j;k++) |
---|
| 2280 | { |
---|
| 2281 | p = arg->m[k]; |
---|
| 2282 | while (p!=NULL) |
---|
| 2283 | { |
---|
| 2284 | q = idDecompose(p,how,tempKbase,&pos); |
---|
| 2285 | if (pos>=0) |
---|
| 2286 | { |
---|
| 2287 | MATELEM(result,(*convert)[pos],k+1) = |
---|
| 2288 | pAdd(MATELEM(result,(*convert)[pos],k+1),q); |
---|
| 2289 | } |
---|
| 2290 | else |
---|
[f9591a] | 2291 | p_Delete(&q,currRing); |
---|
[0f401f] | 2292 | pIter(p); |
---|
| 2293 | } |
---|
| 2294 | } |
---|
| 2295 | idDelete(&tempKbase); |
---|
| 2296 | return result; |
---|
| 2297 | } |
---|
| 2298 | |
---|
| 2299 | static void idDeleteComps(ideal arg,int* red_comp,int del) |
---|
| 2300 | // red_comp is an array [0..args->rank] |
---|
| 2301 | { |
---|
| 2302 | int i,j; |
---|
| 2303 | poly p; |
---|
| 2304 | |
---|
| 2305 | for (i=IDELEMS(arg)-1;i>=0;i--) |
---|
| 2306 | { |
---|
| 2307 | p = arg->m[i]; |
---|
| 2308 | while (p!=NULL) |
---|
| 2309 | { |
---|
| 2310 | j = pGetComp(p); |
---|
| 2311 | if (red_comp[j]!=j) |
---|
| 2312 | { |
---|
| 2313 | pSetComp(p,red_comp[j]); |
---|
| 2314 | pSetmComp(p); |
---|
| 2315 | } |
---|
| 2316 | pIter(p); |
---|
| 2317 | } |
---|
| 2318 | } |
---|
| 2319 | (arg->rank) -= del; |
---|
| 2320 | } |
---|
| 2321 | |
---|
| 2322 | /*2 |
---|
| 2323 | * returns the presentation of an isomorphic, minimally |
---|
| 2324 | * embedded module (arg represents the quotient!) |
---|
| 2325 | */ |
---|
| 2326 | ideal idMinEmbedding(ideal arg,BOOLEAN inPlace, intvec **w) |
---|
| 2327 | { |
---|
| 2328 | if (idIs0(arg)) return idInit(1,arg->rank); |
---|
| 2329 | int i,next_gen,next_comp; |
---|
| 2330 | ideal res=arg; |
---|
| 2331 | if (!inPlace) res = idCopy(arg); |
---|
[7b25fe] | 2332 | res->rank=si_max(res->rank,id_RankFreeModule(res,currRing)); |
---|
[0f401f] | 2333 | int *red_comp=(int*)omAlloc((res->rank+1)*sizeof(int)); |
---|
| 2334 | for (i=res->rank;i>=0;i--) red_comp[i]=i; |
---|
| 2335 | |
---|
| 2336 | int del=0; |
---|
| 2337 | loop |
---|
| 2338 | { |
---|
[d16ea9] | 2339 | next_gen = id_ReadOutPivot(res, &next_comp, currRing); |
---|
[0f401f] | 2340 | if (next_gen<0) break; |
---|
| 2341 | del++; |
---|
| 2342 | syGaussForOne(res,next_gen,next_comp,0,IDELEMS(res)); |
---|
| 2343 | for(i=next_comp+1;i<=arg->rank;i++) red_comp[i]--; |
---|
| 2344 | if ((w !=NULL)&&(*w!=NULL)) |
---|
| 2345 | { |
---|
| 2346 | for(i=next_comp;i<(*w)->length();i++) (**w)[i-1]=(**w)[i]; |
---|
| 2347 | } |
---|
| 2348 | } |
---|
| 2349 | |
---|
| 2350 | idDeleteComps(res,red_comp,del); |
---|
| 2351 | idSkipZeroes(res); |
---|
| 2352 | omFree(red_comp); |
---|
| 2353 | |
---|
| 2354 | if ((w !=NULL)&&(*w!=NULL) &&(del>0)) |
---|
| 2355 | { |
---|
| 2356 | intvec *wtmp=new intvec((*w)->length()-del); |
---|
| 2357 | for(i=0;i<res->rank;i++) (*wtmp)[i]=(**w)[i]; |
---|
| 2358 | delete *w; |
---|
| 2359 | *w=wtmp; |
---|
| 2360 | } |
---|
| 2361 | return res; |
---|
| 2362 | } |
---|
| 2363 | |
---|
[76cfef] | 2364 | #include <polys/clapsing.h> |
---|
[0f401f] | 2365 | |
---|
[7e6bfe] | 2366 | #if 0 |
---|
[0f401f] | 2367 | poly id_GCD(poly f, poly g, const ring r) |
---|
| 2368 | { |
---|
| 2369 | ring save_r=currRing; |
---|
| 2370 | rChangeCurrRing(r); |
---|
| 2371 | ideal I=idInit(2,1); I->m[0]=f; I->m[1]=g; |
---|
| 2372 | intvec *w = NULL; |
---|
| 2373 | ideal S=idSyzygies(I,testHomog,&w); |
---|
| 2374 | if (w!=NULL) delete w; |
---|
| 2375 | poly gg=pTakeOutComp(&(S->m[0]),2); |
---|
| 2376 | idDelete(&S); |
---|
[b7cfaf] | 2377 | poly gcd_p=singclap_pdivide(f,gg,r); |
---|
[f9591a] | 2378 | p_Delete(&gg,r); |
---|
[0f401f] | 2379 | rChangeCurrRing(save_r); |
---|
| 2380 | return gcd_p; |
---|
| 2381 | } |
---|
[7e6bfe] | 2382 | #else |
---|
| 2383 | poly id_GCD(poly f, poly g, const ring r) |
---|
| 2384 | { |
---|
| 2385 | ideal I=idInit(2,1); I->m[0]=f; I->m[1]=g; |
---|
| 2386 | intvec *w = NULL; |
---|
| 2387 | |
---|
[a5d181c] | 2388 | ring save_r = currRing; rChangeCurrRing(r); ideal S=idSyzygies(I,testHomog,&w); rChangeCurrRing(save_r); |
---|
| 2389 | |
---|
[7e6bfe] | 2390 | if (w!=NULL) delete w; |
---|
| 2391 | poly gg=p_TakeOutComp(&(S->m[0]), 2, r); |
---|
| 2392 | id_Delete(&S, r); |
---|
| 2393 | poly gcd_p=singclap_pdivide(f,gg, r); |
---|
| 2394 | p_Delete(&gg, r); |
---|
[a5d181c] | 2395 | |
---|
[7e6bfe] | 2396 | return gcd_p; |
---|
| 2397 | } |
---|
| 2398 | #endif |
---|
[0f401f] | 2399 | |
---|
[f11ea16] | 2400 | #if 0 |
---|
| 2401 | /*2 |
---|
| 2402 | * xx,q: arrays of length 0..rl-1 |
---|
| 2403 | * xx[i]: SB mod q[i] |
---|
| 2404 | * assume: char=0 |
---|
| 2405 | * assume: q[i]!=0 |
---|
| 2406 | * destroys xx |
---|
| 2407 | */ |
---|
| 2408 | ideal id_ChineseRemainder(ideal *xx, number *q, int rl, const ring R) |
---|
| 2409 | { |
---|
| 2410 | int cnt=IDELEMS(xx[0])*xx[0]->nrows; |
---|
| 2411 | ideal result=idInit(cnt,xx[0]->rank); |
---|
| 2412 | result->nrows=xx[0]->nrows; // for lifting matrices |
---|
| 2413 | result->ncols=xx[0]->ncols; // for lifting matrices |
---|
| 2414 | int i,j; |
---|
| 2415 | poly r,h,hh,res_p; |
---|
| 2416 | number *x=(number *)omAlloc(rl*sizeof(number)); |
---|
| 2417 | for(i=cnt-1;i>=0;i--) |
---|
| 2418 | { |
---|
| 2419 | res_p=NULL; |
---|
| 2420 | loop |
---|
| 2421 | { |
---|
| 2422 | r=NULL; |
---|
| 2423 | for(j=rl-1;j>=0;j--) |
---|
| 2424 | { |
---|
| 2425 | h=xx[j]->m[i]; |
---|
| 2426 | if ((h!=NULL) |
---|
| 2427 | &&((r==NULL)||(p_LmCmp(r,h,R)==-1))) |
---|
| 2428 | r=h; |
---|
| 2429 | } |
---|
| 2430 | if (r==NULL) break; |
---|
| 2431 | h=p_Head(r, R); |
---|
| 2432 | for(j=rl-1;j>=0;j--) |
---|
| 2433 | { |
---|
| 2434 | hh=xx[j]->m[i]; |
---|
| 2435 | if ((hh!=NULL) && (p_LmCmp(r,hh, R)==0)) |
---|
| 2436 | { |
---|
| 2437 | x[j]=p_GetCoeff(hh, R); |
---|
| 2438 | hh=p_LmFreeAndNext(hh, R); |
---|
| 2439 | xx[j]->m[i]=hh; |
---|
| 2440 | } |
---|
| 2441 | else |
---|
| 2442 | x[j]=n_Init(0, R->cf); // is R->cf really n_Q???, yes! |
---|
| 2443 | } |
---|
[a5d181c] | 2444 | |
---|
[7938a0f] | 2445 | number n=n_ChineseRemainder(x,q,rl, R->cf); |
---|
[f11ea16] | 2446 | |
---|
| 2447 | for(j=rl-1;j>=0;j--) |
---|
| 2448 | { |
---|
| 2449 | x[j]=NULL; // nlInit(0...) takes no memory |
---|
| 2450 | } |
---|
| 2451 | if (n_IsZero(n, R->cf)) p_Delete(&h, R); |
---|
| 2452 | else |
---|
| 2453 | { |
---|
| 2454 | p_SetCoeff(h,n, R); |
---|
| 2455 | //Print("new mon:");pWrite(h); |
---|
| 2456 | res_p=p_Add_q(res_p, h, R); |
---|
| 2457 | } |
---|
| 2458 | } |
---|
| 2459 | result->m[i]=res_p; |
---|
| 2460 | } |
---|
| 2461 | omFree(x); |
---|
| 2462 | for(i=rl-1;i>=0;i--) id_Delete(&(xx[i]), R); |
---|
| 2463 | omFree(xx); |
---|
| 2464 | return result; |
---|
| 2465 | } |
---|
| 2466 | #endif |
---|
[0f401f] | 2467 | /* currently unsed: |
---|
| 2468 | ideal idChineseRemainder(ideal *xx, intvec *iv) |
---|
| 2469 | { |
---|
| 2470 | int rl=iv->length(); |
---|
| 2471 | number *q=(number *)omAlloc(rl*sizeof(number)); |
---|
| 2472 | int i; |
---|
| 2473 | for(i=0; i<rl; i++) |
---|
| 2474 | { |
---|
| 2475 | q[i]=nInit((*iv)[i]); |
---|
| 2476 | } |
---|
| 2477 | return idChineseRemainder(xx,q,rl); |
---|
| 2478 | } |
---|
| 2479 | */ |
---|
| 2480 | /* |
---|
| 2481 | * lift ideal with coeffs over Z (mod N) to Q via Farey |
---|
| 2482 | */ |
---|
[f9591a] | 2483 | ideal id_Farey(ideal x, number N, const ring r) |
---|
[0f401f] | 2484 | { |
---|
| 2485 | int cnt=IDELEMS(x)*x->nrows; |
---|
| 2486 | ideal result=idInit(cnt,x->rank); |
---|
| 2487 | result->nrows=x->nrows; // for lifting matrices |
---|
| 2488 | result->ncols=x->ncols; // for lifting matrices |
---|
| 2489 | |
---|
| 2490 | int i; |
---|
| 2491 | for(i=cnt-1;i>=0;i--) |
---|
| 2492 | { |
---|
[0b0bc3] | 2493 | result->m[i]=p_Farey(x->m[i],N,r); |
---|
[0f401f] | 2494 | } |
---|
| 2495 | return result; |
---|
| 2496 | } |
---|
[38fc181] | 2497 | |
---|
| 2498 | |
---|
| 2499 | |
---|
| 2500 | |
---|
| 2501 | // uses glabl vars via pSetModDeg |
---|
| 2502 | /* |
---|
| 2503 | BOOLEAN idTestHomModule(ideal m, ideal Q, intvec *w) |
---|
| 2504 | { |
---|
| 2505 | if ((Q!=NULL) && (!idHomIdeal(Q,NULL))) { PrintS(" Q not hom\n"); return FALSE;} |
---|
| 2506 | if (idIs0(m)) return TRUE; |
---|
| 2507 | |
---|
| 2508 | int cmax=-1; |
---|
| 2509 | int i; |
---|
| 2510 | poly p=NULL; |
---|
| 2511 | int length=IDELEMS(m); |
---|
| 2512 | poly* P=m->m; |
---|
| 2513 | for (i=length-1;i>=0;i--) |
---|
| 2514 | { |
---|
| 2515 | p=P[i]; |
---|
| 2516 | if (p!=NULL) cmax=si_max(cmax,(int)pMaxComp(p)+1); |
---|
| 2517 | } |
---|
| 2518 | if (w != NULL) |
---|
| 2519 | if (w->length()+1 < cmax) |
---|
| 2520 | { |
---|
| 2521 | // Print("length: %d - %d \n", w->length(),cmax); |
---|
| 2522 | return FALSE; |
---|
| 2523 | } |
---|
| 2524 | |
---|
| 2525 | if(w!=NULL) |
---|
| 2526 | p_SetModDeg(w, currRing); |
---|
| 2527 | |
---|
| 2528 | for (i=length-1;i>=0;i--) |
---|
| 2529 | { |
---|
| 2530 | p=P[i]; |
---|
| 2531 | poly q=p; |
---|
| 2532 | if (p!=NULL) |
---|
| 2533 | { |
---|
| 2534 | int d=p_FDeg(p,currRing); |
---|
| 2535 | loop |
---|
| 2536 | { |
---|
| 2537 | pIter(p); |
---|
| 2538 | if (p==NULL) break; |
---|
| 2539 | if (d!=p_FDeg(p,currRing)) |
---|
| 2540 | { |
---|
| 2541 | //pWrite(q); wrp(p); Print(" -> %d - %d\n",d,pFDeg(p,currRing)); |
---|
| 2542 | if(w!=NULL) |
---|
| 2543 | p_SetModDeg(NULL, currRing); |
---|
| 2544 | return FALSE; |
---|
| 2545 | } |
---|
| 2546 | } |
---|
| 2547 | } |
---|
| 2548 | } |
---|
| 2549 | |
---|
| 2550 | if(w!=NULL) |
---|
| 2551 | p_SetModDeg(NULL, currRing); |
---|
| 2552 | |
---|
| 2553 | return TRUE; |
---|
| 2554 | } |
---|
| 2555 | */ |
---|
| 2556 | |
---|
[9234fb] | 2557 | /// keeps the first k (>= 1) entries of the given ideal |
---|
| 2558 | /// (Note that the kept polynomials may be zero.) |
---|
| 2559 | void idKeepFirstK(ideal id, const int k) |
---|
| 2560 | { |
---|
[ae78cf] | 2561 | for (int i = IDELEMS(id)-1; i >= k; i--) |
---|
| 2562 | { |
---|
| 2563 | if (id->m[i] != NULL) pDelete(&id->m[i]); |
---|
| 2564 | } |
---|
[a9c298] | 2565 | int kk=k; |
---|
| 2566 | if (k==0) kk=1; /* ideals must have at least one element(0)*/ |
---|
| 2567 | pEnlargeSet(&(id->m), IDELEMS(id), kk-IDELEMS(id)); |
---|
| 2568 | IDELEMS(id) = kk; |
---|
[9234fb] | 2569 | } |
---|
[38fc181] | 2570 | |
---|
[c81bf7] | 2571 | /* |
---|
| 2572 | * compare the leading terms of a and b |
---|
| 2573 | */ |
---|
| 2574 | static int tCompare(const poly a, const poly b) |
---|
| 2575 | { |
---|
[b0a811] | 2576 | if (b == NULL) return(a != NULL); |
---|
[c81bf7] | 2577 | if (a == NULL) return(-1); |
---|
| 2578 | |
---|
| 2579 | /* a != NULL && b != NULL */ |
---|
| 2580 | int r = pLmCmp(a, b); |
---|
| 2581 | if (r != 0) return(r); |
---|
| 2582 | number h = nSub(pGetCoeff(a), pGetCoeff(b)); |
---|
| 2583 | r = -1 + nIsZero(h) + 2*nGreaterZero(h); /* -1: <, 0:==, 1: > */ |
---|
| 2584 | nDelete(&h); |
---|
| 2585 | return(r); |
---|
| 2586 | } |
---|
| 2587 | |
---|
| 2588 | /* |
---|
| 2589 | * compare a and b (rev-lex on terms) |
---|
| 2590 | */ |
---|
| 2591 | static int pCompare(const poly a, const poly b) |
---|
| 2592 | { |
---|
| 2593 | int r = tCompare(a, b); |
---|
| 2594 | if (r != 0) return(r); |
---|
| 2595 | |
---|
| 2596 | poly aa = a; |
---|
| 2597 | poly bb = b; |
---|
| 2598 | while (r == 0 && aa != NULL && bb != NULL) |
---|
| 2599 | { |
---|
| 2600 | pIter(aa); |
---|
| 2601 | pIter(bb); |
---|
| 2602 | r = tCompare(aa, bb); |
---|
| 2603 | } |
---|
| 2604 | return(r); |
---|
| 2605 | } |
---|
| 2606 | |
---|
| 2607 | typedef struct |
---|
| 2608 | { |
---|
| 2609 | poly p; |
---|
| 2610 | int index; |
---|
| 2611 | } poly_sort; |
---|
| 2612 | |
---|
| 2613 | int pCompare_qsort(const void *a, const void *b) |
---|
| 2614 | { |
---|
| 2615 | int res = pCompare(((poly_sort *)a)->p, ((poly_sort *)b)->p); |
---|
| 2616 | return(res); |
---|
| 2617 | } |
---|
| 2618 | |
---|
| 2619 | void idSort_qsort(poly_sort *id_sort, int idsize) |
---|
| 2620 | { |
---|
| 2621 | qsort(id_sort, idsize, sizeof(poly_sort), pCompare_qsort); |
---|
| 2622 | } |
---|
| 2623 | |
---|
| 2624 | /*2 |
---|
| 2625 | * ideal id = (id[i]) |
---|
| 2626 | * if id[i] = id[j] then id[j] is deleted for j > i |
---|
| 2627 | */ |
---|
| 2628 | void idDelEquals(ideal id) |
---|
| 2629 | { |
---|
| 2630 | int idsize = IDELEMS(id); |
---|
| 2631 | poly_sort *id_sort = (poly_sort *)omAlloc0(idsize*sizeof(poly_sort)); |
---|
| 2632 | for (int i = 0; i < idsize; i++) |
---|
| 2633 | { |
---|
| 2634 | id_sort[i].p = id->m[i]; |
---|
| 2635 | id_sort[i].index = i; |
---|
| 2636 | } |
---|
| 2637 | idSort_qsort(id_sort, idsize); |
---|
| 2638 | int index, index_i, index_j; |
---|
| 2639 | int i = 0; |
---|
| 2640 | for (int j = 1; j < idsize; j++) |
---|
| 2641 | { |
---|
[b0a811] | 2642 | if (id_sort[i].p != NULL && pEqualPolys(id_sort[i].p, id_sort[j].p)) |
---|
[c81bf7] | 2643 | { |
---|
| 2644 | index_i = id_sort[i].index; |
---|
| 2645 | index_j = id_sort[j].index; |
---|
| 2646 | if (index_j > index_i) |
---|
| 2647 | { |
---|
| 2648 | index = index_j; |
---|
| 2649 | } |
---|
| 2650 | else |
---|
| 2651 | { |
---|
| 2652 | index = index_i; |
---|
| 2653 | i = j; |
---|
| 2654 | } |
---|
[b0a811] | 2655 | pDelete(&id->m[index]); |
---|
[c81bf7] | 2656 | } |
---|
| 2657 | else |
---|
| 2658 | { |
---|
| 2659 | i = j; |
---|
| 2660 | } |
---|
| 2661 | } |
---|
| 2662 | omFreeSize((ADDRESS)(id_sort), idsize*sizeof(poly_sort)); |
---|
| 2663 | } |
---|