[a9a7be] | 1 | /***************************************** |
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| 2 | * Computer Algebra System SINGULAR * |
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| 3 | *****************************************/ |
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[341696] | 4 | /* $Id$ */ |
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[a9a7be] | 5 | /* |
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| 6 | * ABSTRACT: Implementation of the Groebner walk |
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| 7 | */ |
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| 8 | |
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[fc5095] | 9 | // define if the Buchberger alg should be used |
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| 10 | // to compute a reduced GB of a omega-homogenoues ideal |
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| 11 | // default: we use the hilbert driven algorithm. |
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| 12 | #define BUCHBERGER_ALG //we use the improved Buchberger alg. |
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| 13 | |
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| 14 | //#define UPPER_BOUND //for the original "Tran" algorithm |
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[0001f9] | 15 | //#define REPRESENTATION_OF_SIGMA //if one perturbs sigma in Tran |
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[fc5095] | 16 | |
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| 17 | //#define TEST_OVERFLOW |
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| 18 | //#define CHECK_IDEAL |
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| 19 | //#define CHECK_IDEAL_MWALK |
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| 20 | |
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| 21 | //#define NEXT_VECTORS_CC |
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| 22 | //#define PRINT_VECTORS //to print vectors (sigma, tau, omega) |
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| 23 | |
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| 24 | #define INVEPS_SMALL_IN_FRACTAL //to choose the small invers of epsilon |
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| 25 | #define INVEPS_SMALL_IN_MPERTVECTOR //to choose the small invers of epsilon |
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| 26 | #define INVEPS_SMALL_IN_TRAN //to choose the small invers of epsilon |
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| 27 | |
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| 28 | #define FIRST_STEP_FRACTAL // to define the first step of the fractal |
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| 29 | //#define MSTDCC_FRACTAL // apply Buchberger alg to compute a red GB, if |
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| 30 | // tau doesn't stay in the correct cone |
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| 31 | |
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| 32 | //#define TIME_TEST // print the used time of each subroutine |
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| 33 | //#define ENDWALKS //print the size of the last omega-homogenoues Gröbner basis |
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| 34 | |
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[50cbdc] | 35 | /* includes */ |
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[fc5095] | 36 | |
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| 37 | #include <stdio.h> |
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[dbe2b0] | 38 | // === Zeit & System (Holger Croeni === |
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| 39 | #include <time.h> |
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| 40 | #include <sys/time.h> |
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| 41 | #include <sys/stat.h> |
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| 42 | #include <unistd.h> |
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| 43 | #include <stdio.h> |
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| 44 | #include <float.h> |
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| 45 | #include <limits.h> |
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| 46 | #include <sys/types.h> |
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| 47 | |
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[fc5095] | 48 | |
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[b1dfaf] | 49 | #include <kernel/mod2.h> |
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[0fb34ba] | 50 | #include <misc/intvec.h> |
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[599326] | 51 | #include <Singular/cntrlc.h> |
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[0fb34ba] | 52 | #include <misc/options.h> |
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[b1dfaf] | 53 | #include <omalloc/omalloc.h> |
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[599326] | 54 | #include <kernel/febase.h> |
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| 55 | #include <Singular/ipshell.h> |
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| 56 | #include <Singular/ipconv.h> |
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[567abae] | 57 | #include <coeffs/ffields.h> |
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[e94918] | 58 | #include <coeffs/coeffs.h> |
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[599326] | 59 | #include <Singular/subexpr.h> |
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[567abae] | 60 | #include <polys/templates/p_Procs.h> |
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[599326] | 61 | |
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[0fb34ba] | 62 | #include <polys/monomials/maps.h> |
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[fc5095] | 63 | |
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| 64 | /* include Hilbert-function */ |
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[599326] | 65 | #include <kernel/stairc.h> |
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[fc5095] | 66 | |
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| 67 | /** kstd2.cc */ |
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[599326] | 68 | #include <kernel/kutil.h> |
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| 69 | #include <kernel/khstd.h> |
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| 70 | |
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| 71 | #include <Singular/walk.h> |
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[737a68] | 72 | #include <kernel/polys.h> |
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[599326] | 73 | #include <kernel/ideals.h> |
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| 74 | #include <Singular/ipid.h> |
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| 75 | #include <Singular/tok.h> |
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| 76 | #include <kernel/febase.h> |
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[0fb34ba] | 77 | #include <coeffs/numbers.h> |
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[599326] | 78 | #include <Singular/ipid.h> |
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[0fb34ba] | 79 | #include <polys/monomials/ring.h> |
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[599326] | 80 | #include <kernel/kstd1.h> |
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[0fb34ba] | 81 | #include <polys/matpol.h> |
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| 82 | #include <polys/weight.h> |
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| 83 | #include <misc/intvec.h> |
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[599326] | 84 | #include <kernel/syz.h> |
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| 85 | #include <Singular/lists.h> |
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[0fb34ba] | 86 | #include <polys/prCopy.h> |
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| 87 | #include <polys/monomials/ring.h> |
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[567abae] | 88 | //#include <polys/ext_fields/longalg.h> |
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[50cbdc] | 89 | #ifdef HAVE_FACTORY |
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[47417b] | 90 | #include <polys/clapsing.h> |
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[50cbdc] | 91 | #endif |
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[a9a7be] | 92 | |
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[567abae] | 93 | #include <coeffs/mpr_complex.h> |
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[fc5095] | 94 | |
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| 95 | int nstep; |
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| 96 | |
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| 97 | extern BOOLEAN ErrorCheck(); |
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| 98 | |
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| 99 | extern BOOLEAN pSetm_error; |
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| 100 | |
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| 101 | void Set_Error( BOOLEAN f) { pSetm_error=f; } |
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| 102 | |
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| 103 | BOOLEAN Overflow_Error = FALSE; |
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| 104 | |
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| 105 | clock_t xtif, xtstd, xtlift, xtred, xtnw; |
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| 106 | clock_t xftostd, xtextra, xftinput, to; |
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[0001f9] | 107 | |
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[fc5095] | 108 | /*2 |
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| 109 | *utilities for TSet, LSet |
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| 110 | */ |
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| 111 | inline static intset initec (int maxnr) |
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| 112 | { |
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| 113 | return (intset)omAlloc(maxnr*sizeof(int)); |
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| 114 | } |
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| 115 | |
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| 116 | inline static unsigned long* initsevS (int maxnr) |
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| 117 | { |
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| 118 | return (unsigned long*)omAlloc0(maxnr*sizeof(unsigned long)); |
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| 119 | } |
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| 120 | inline static int* initS_2_R (int maxnr) |
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| 121 | { |
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| 122 | return (int*)omAlloc0(maxnr*sizeof(int)); |
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| 123 | } |
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| 124 | |
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| 125 | /*2 |
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| 126 | *construct the set s from F u {P} |
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| 127 | */ |
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| 128 | static void initSSpecialCC (ideal F, ideal Q, ideal P,kStrategy strat) |
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| 129 | { |
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| 130 | int i,pos; |
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| 131 | |
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| 132 | if (Q!=NULL) i=((IDELEMS(Q)+(setmaxTinc-1))/setmaxTinc)*setmaxTinc; |
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| 133 | else i=setmaxT; |
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| 134 | |
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| 135 | strat->ecartS=initec(i); |
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| 136 | strat->sevS=initsevS(i); |
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| 137 | strat->S_2_R=initS_2_R(i); |
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| 138 | strat->fromQ=NULL; |
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| 139 | strat->Shdl=idInit(i,F->rank); |
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| 140 | strat->S=strat->Shdl->m; |
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| 141 | |
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| 142 | /*- put polys into S -*/ |
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| 143 | if (Q!=NULL) |
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| 144 | { |
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| 145 | strat->fromQ=initec(i); |
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| 146 | memset(strat->fromQ,0,i*sizeof(int)); |
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| 147 | for (i=0; i<IDELEMS(Q); i++) |
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| 148 | { |
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| 149 | if (Q->m[i]!=NULL) |
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| 150 | { |
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| 151 | LObject h; |
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| 152 | h.p = pCopy(Q->m[i]); |
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| 153 | //if (TEST_OPT_INTSTRATEGY) |
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| 154 | //{ |
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| 155 | // //pContent(h.p); |
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| 156 | // h.pCleardenom(); // also does a pContent |
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| 157 | //} |
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| 158 | //else |
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| 159 | //{ |
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| 160 | // h.pNorm(); |
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| 161 | //} |
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| 162 | strat->initEcart(&h); |
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[753f9d2] | 163 | if (rHasLocalOrMixedOrdering_currRing()) |
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[fc5095] | 164 | { |
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| 165 | deleteHC(&h,strat); |
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| 166 | } |
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| 167 | if (h.p!=NULL) |
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| 168 | { |
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| 169 | if (strat->sl==-1) |
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| 170 | pos =0; |
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| 171 | else |
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| 172 | { |
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| 173 | pos = posInS(strat,strat->sl,h.p,h.ecart); |
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| 174 | } |
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| 175 | h.sev = pGetShortExpVector(h.p); |
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| 176 | h.SetpFDeg(); |
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| 177 | strat->enterS(h,pos,strat, strat->tl+1); |
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| 178 | enterT(h, strat); |
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| 179 | strat->fromQ[pos]=1; |
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| 180 | } |
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| 181 | } |
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| 182 | } |
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| 183 | } |
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| 184 | /*- put polys into S -*/ |
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| 185 | for (i=0; i<IDELEMS(F); i++) |
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| 186 | { |
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| 187 | if (F->m[i]!=NULL) |
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| 188 | { |
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| 189 | LObject h; |
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| 190 | h.p = pCopy(F->m[i]); |
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[0ec631] | 191 | if (rHasGlobalOrdering(currRing)) |
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[fc5095] | 192 | { |
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| 193 | //h.p=redtailBba(h.p,strat->sl,strat); |
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| 194 | h.p=redtailBba(h.p,strat->sl,strat); |
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| 195 | } |
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[0ec631] | 196 | else |
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[fc5095] | 197 | { |
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| 198 | deleteHC(&h,strat); |
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| 199 | } |
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[0ec631] | 200 | strat->initEcart(&h); |
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[fc5095] | 201 | if (h.p!=NULL) |
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| 202 | { |
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| 203 | if (strat->sl==-1) |
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| 204 | pos =0; |
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| 205 | else |
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| 206 | pos = posInS(strat,strat->sl,h.p,h.ecart); |
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| 207 | h.sev = pGetShortExpVector(h.p); |
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| 208 | strat->enterS(h,pos,strat, strat->tl+1); |
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| 209 | h.length = pLength(h.p); |
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| 210 | h.SetpFDeg(); |
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| 211 | enterT(h,strat); |
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| 212 | } |
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| 213 | } |
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| 214 | } |
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| 215 | #ifdef INITSSPECIAL |
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| 216 | for (i=0; i<IDELEMS(P); i++) |
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| 217 | { |
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| 218 | if (P->m[i]!=NULL) |
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| 219 | { |
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| 220 | LObject h; |
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| 221 | h.p=pCopy(P->m[i]); |
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| 222 | strat->initEcart(&h); |
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| 223 | h.length = pLength(h.p); |
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| 224 | if (TEST_OPT_INTSTRATEGY) |
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| 225 | { |
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| 226 | h.pCleardenom(); |
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| 227 | } |
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| 228 | else |
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| 229 | { |
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| 230 | h.pNorm(); |
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| 231 | } |
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| 232 | if(strat->sl>=0) |
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| 233 | { |
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[0ec631] | 234 | if (rHasGlobalOrdering(currRing)) |
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[fc5095] | 235 | { |
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| 236 | h.p=redBba(h.p,strat->sl,strat); |
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| 237 | if (h.p!=NULL) |
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| 238 | h.p=redtailBba(h.p,strat->sl,strat); |
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| 239 | } |
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| 240 | else |
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| 241 | { |
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| 242 | h.p=redMora(h.p,strat->sl,strat); |
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| 243 | strat->initEcart(&h); |
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| 244 | } |
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| 245 | if(h.p!=NULL) |
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| 246 | { |
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| 247 | if (TEST_OPT_INTSTRATEGY) |
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| 248 | { |
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| 249 | h.pCleardenom(); |
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| 250 | } |
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| 251 | else |
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| 252 | { |
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| 253 | h.is_normalized = 0; |
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| 254 | h.pNorm(); |
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| 255 | } |
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| 256 | h.sev = pGetShortExpVector(h.p); |
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| 257 | h.SetpFDeg(); |
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| 258 | pos = posInS(strat->S,strat->sl,h.p,h.ecart); |
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| 259 | enterpairsSpecial(h.p,strat->sl,h.ecart,pos,strat,strat->tl+1); |
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| 260 | strat->enterS(h,pos,strat, strat->tl+1); |
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| 261 | enterT(h,strat); |
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| 262 | } |
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| 263 | } |
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| 264 | else |
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| 265 | { |
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| 266 | h.sev = pGetShortExpVector(h.p); |
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| 267 | h.SetpFDeg(); |
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| 268 | strat->enterS(h,0,strat, strat->tl+1); |
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| 269 | enterT(h,strat); |
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| 270 | } |
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| 271 | } |
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| 272 | } |
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| 273 | #endif |
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| 274 | } |
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| 275 | |
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| 276 | /*2 |
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| 277 | *interreduces F |
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| 278 | */ |
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| 279 | static ideal kInterRedCC(ideal F, ideal Q) |
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| 280 | { |
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| 281 | int j; |
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| 282 | kStrategy strat = new skStrategy; |
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| 283 | |
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| 284 | // if (TEST_OPT_PROT) |
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| 285 | // { |
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| 286 | // writeTime("start InterRed:"); |
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| 287 | // mflush(); |
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| 288 | // } |
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| 289 | //strat->syzComp = 0; |
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[993ae2] | 290 | strat->kHEdgeFound = (currRing->ppNoether) != NULL; |
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| 291 | strat->kNoether=pCopy((currRing->ppNoether)); |
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[e94918] | 292 | strat->ak = id_RankFreeModule(F, currRing); |
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[fc5095] | 293 | initBuchMoraCrit(strat); |
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[e94918] | 294 | strat->NotUsedAxis = (BOOLEAN *)omAlloc((currRing->N+1)*sizeof(BOOLEAN)); |
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| 295 | for (j=currRing->N; j>0; j--) strat->NotUsedAxis[j] = TRUE; |
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[fc5095] | 296 | strat->enterS = enterSBba; |
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| 297 | strat->posInT = posInT0; |
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| 298 | strat->initEcart = initEcartNormal; |
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| 299 | strat->sl = -1; |
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| 300 | strat->tl = -1; |
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| 301 | strat->tmax = setmaxT; |
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| 302 | strat->T = initT(); |
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| 303 | strat->R = initR(); |
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| 304 | strat->sevT = initsevT(); |
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[753f9d2] | 305 | if (rHasLocalOrMixedOrdering_currRing()) strat->honey = TRUE; |
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[0001f9] | 306 | |
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| 307 | |
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[fc5095] | 308 | //initSCC(F,Q,strat); |
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| 309 | initS(F,Q,strat); |
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| 310 | |
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| 311 | /* |
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| 312 | timetmp=clock();//22.01.02 |
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| 313 | initSSpecialCC(F,Q,NULL,strat); |
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| 314 | tininitS=tininitS+clock()-timetmp;//22.01.02 |
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| 315 | */ |
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| 316 | if (TEST_OPT_REDSB) |
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| 317 | strat->noTailReduction=FALSE; |
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| 318 | |
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| 319 | updateS(TRUE,strat); |
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| 320 | |
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| 321 | if (TEST_OPT_REDSB && TEST_OPT_INTSTRATEGY) |
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| 322 | completeReduce(strat); |
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| 323 | pDelete(&strat->kHEdge); |
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| 324 | omFreeSize((ADDRESS)strat->T,strat->tmax*sizeof(TObject)); |
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| 325 | omFreeSize((ADDRESS)strat->ecartS,IDELEMS(strat->Shdl)*sizeof(int)); |
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| 326 | omFreeSize((ADDRESS)strat->sevS,IDELEMS(strat->Shdl)*sizeof(unsigned long)); |
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[e94918] | 327 | omFreeSize((ADDRESS)strat->NotUsedAxis,(currRing->N+1)*sizeof(BOOLEAN)); |
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[fc5095] | 328 | omfree(strat->sevT); |
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| 329 | omfree(strat->S_2_R); |
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| 330 | omfree(strat->R); |
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| 331 | |
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| 332 | if (strat->fromQ) |
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| 333 | { |
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| 334 | for (j=0;j<IDELEMS(strat->Shdl);j++) |
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| 335 | { |
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| 336 | if(strat->fromQ[j]) pDelete(&strat->Shdl->m[j]); |
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| 337 | } |
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| 338 | omFreeSize((ADDRESS)strat->fromQ,IDELEMS(strat->Shdl)*sizeof(int)); |
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| 339 | strat->fromQ=NULL; |
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| 340 | } |
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| 341 | // if (TEST_OPT_PROT) |
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| 342 | // { |
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| 343 | // writeTime("end Interred:"); |
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| 344 | // mflush(); |
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| 345 | // } |
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| 346 | ideal shdl=strat->Shdl; |
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| 347 | idSkipZeroes(shdl); |
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| 348 | delete(strat); |
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| 349 | |
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| 350 | return shdl; |
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| 351 | } |
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| 352 | |
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[0001f9] | 353 | static void TimeString(clock_t tinput, clock_t tostd, clock_t tif,clock_t tstd, |
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| 354 | clock_t tlf,clock_t tred, clock_t tnw, int step) |
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[fc5095] | 355 | { |
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[0001f9] | 356 | double totm = ((double) (clock() - tinput))/1000000; |
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[fc5095] | 357 | double ostd,mostd, mif, mstd, mextra, mlf, mred, mnw, mxif,mxstd,mxlf,mxred,mxnw,tot; |
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| 358 | |
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| 359 | Print("\n// total time = %.2f sec", totm); |
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[d3a49c] | 360 | Print("\n// tostd = %.2f sec = %.2f", ostd=((double) tostd)/1000000, |
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[fc5095] | 361 | mostd=((((double) tostd)/1000000)/totm)*100); |
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[d3a49c] | 362 | Print("\n// tif = %.2f sec = %.2f", ((double) tif)/1000000, |
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[fc5095] | 363 | mif=((((double) tif)/1000000)/totm)*100); |
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[d3a49c] | 364 | Print("\n// std = %.2f sec = %.2f", ((double) tstd)/1000000, |
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[fc5095] | 365 | mstd=((((double) tstd)/1000000)/totm)*100); |
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[d3a49c] | 366 | Print("\n// lift = %.2f sec = %.2f", ((double) tlf)/1000000, |
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[fc5095] | 367 | mlf=((((double) tlf)/1000000)/totm)*100); |
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[d3a49c] | 368 | Print("\n// ired = %.2f sec = %.2f", ((double) tred)/1000000, |
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[fc5095] | 369 | mred=((((double) tred)/1000000)/totm)*100); |
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[d3a49c] | 370 | Print("\n// nextw = %.2f sec = %.2f", ((double) tnw)/1000000, |
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[fc5095] | 371 | mnw=((((double) tnw)/1000000)/totm)*100); |
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| 372 | PrintS("\n Time for the last step:"); |
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[d3a49c] | 373 | Print("\n// xinfo = %.2f sec = %.2f", ((double) xtif)/1000000, |
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[fc5095] | 374 | mxif=((((double) xtif)/1000000)/totm)*100); |
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[d3a49c] | 375 | Print("\n// xstd = %.2f sec = %.2f", ((double) xtstd)/1000000, |
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[fc5095] | 376 | mxstd=((((double) xtstd)/1000000)/totm)*100); |
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[d3a49c] | 377 | Print("\n// xlift = %.2f sec = %.2f", ((double) xtlift)/1000000, |
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[fc5095] | 378 | mxlf=((((double) xtlift)/1000000)/totm)*100); |
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[d3a49c] | 379 | Print("\n// xired = %.2f sec = %.2f", ((double) xtred)/1000000, |
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[fc5095] | 380 | mxred=((((double) xtred)/1000000)/totm)*100); |
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[d3a49c] | 381 | Print("\n// xnextw= %.2f sec = %.2f", ((double) xtnw)/1000000, |
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[fc5095] | 382 | mxnw=((((double) xtnw)/1000000)/totm)*100); |
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| 383 | |
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| 384 | tot=mostd+mif+mstd+mlf+mred+mnw+mxif+mxstd+mxlf+mxred+mxnw; |
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| 385 | double res = (double) 100 - tot; |
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| 386 | Print("\n// &%d&%.2f&%.2f&%.2f&%.2f&%.2f&%.2f&%.2f&%.2f&%.2f&%.2f&%.2f&%.2f&%.2f&%.2f&%.2f(%.2f)\\ \\", |
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[0001f9] | 387 | step, ostd, totm, mostd,mif,mstd,mlf,mred,mnw,mxif,mxstd,mxlf,mxred,mxnw,tot,res, |
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| 388 | ((((double) xtextra)/1000000)/totm)*100); |
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[fc5095] | 389 | } |
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| 390 | |
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[0001f9] | 391 | static void TimeStringFractal(clock_t tinput, clock_t tostd, clock_t tif,clock_t tstd, |
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| 392 | clock_t textra, clock_t tlf,clock_t tred, clock_t tnw) |
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[fc5095] | 393 | { |
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[0001f9] | 394 | |
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[fc5095] | 395 | double totm = ((double) (clock() - tinput))/1000000; |
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| 396 | double ostd, mostd, mif, mstd, mextra, mlf, mred, mnw, tot, res; |
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| 397 | Print("\n// total time = %.2f sec", totm); |
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[d3a49c] | 398 | Print("\n// tostd = %.2f sec = %.2f", ostd=((double) tostd)/1000000, |
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[fc5095] | 399 | mostd=((((double) tostd)/1000000)/totm)*100); |
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[d3a49c] | 400 | Print("\n// tif = %.2f sec = %.2f", ((double) tif)/1000000, |
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[fc5095] | 401 | mif=((((double) tif)/1000000)/totm)*100); |
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[d3a49c] | 402 | Print("\n// std = %.2f sec = %.2f", ((double) tstd)/1000000, |
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[fc5095] | 403 | mstd=((((double) tstd)/1000000)/totm)*100); |
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[d3a49c] | 404 | Print("\n// xstd = %.2f sec = %.2f", ((double) textra)/1000000, |
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[fc5095] | 405 | mextra=((((double) textra)/1000000)/totm)*100); |
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[d3a49c] | 406 | Print("\n// lift = %.2f sec = %.2f", ((double) tlf)/1000000, |
---|
[fc5095] | 407 | mlf=((((double) tlf)/1000000)/totm)*100); |
---|
[d3a49c] | 408 | Print("\n// ired = %.2f sec = %.2f", ((double) tred)/1000000, |
---|
[fc5095] | 409 | mred=((((double) tred)/1000000)/totm)*100); |
---|
[d3a49c] | 410 | Print("\n// nextw = %.2f sec = %.2f", ((double) tnw)/1000000, |
---|
[fc5095] | 411 | mnw=((((double) tnw)/1000000)/totm)*100); |
---|
| 412 | tot = mostd+mif+mstd+mextra+mlf+mred+mnw; |
---|
| 413 | res = (double) 100.00-tot; |
---|
[0001f9] | 414 | Print("\n// &%.2f &%.2f&%.2f &%.2f &%.2f &%.2f &%.2f &%.2f &%.2f&%.2f&%.2f\\ \\ ", |
---|
| 415 | ostd,totm,mostd,mif,mstd,mextra,mlf,mred,mnw,tot,res); |
---|
[fc5095] | 416 | } |
---|
| 417 | |
---|
[0ec43a] | 418 | static void idString(ideal L, const char* st) |
---|
[fc5095] | 419 | { |
---|
[0001f9] | 420 | int i, nL = IDELEMS(L); |
---|
[fc5095] | 421 | |
---|
| 422 | Print("\n// ideal %s = ", st); |
---|
| 423 | for(i=0; i<nL-1; i++) |
---|
| 424 | Print(" %s, ", pString(L->m[i])); |
---|
[0001f9] | 425 | |
---|
[fc5095] | 426 | Print(" %s;", pString(L->m[nL-1])); |
---|
| 427 | } |
---|
| 428 | |
---|
| 429 | static void headidString(ideal L, char* st) |
---|
| 430 | { |
---|
[0001f9] | 431 | int i, nL = IDELEMS(L); |
---|
[fc5095] | 432 | |
---|
| 433 | Print("\n// ideal %s = ", st); |
---|
| 434 | for(i=0; i<nL-1; i++) |
---|
| 435 | Print(" %s, ", pString(pHead(L->m[i]))); |
---|
[0001f9] | 436 | |
---|
[fc5095] | 437 | Print(" %s;", pString(pHead(L->m[nL-1]))); |
---|
| 438 | } |
---|
| 439 | |
---|
| 440 | static void idElements(ideal L, char* st) |
---|
| 441 | { |
---|
[0001f9] | 442 | int i, nL = IDELEMS(L); |
---|
| 443 | int *K=(int *)omAlloc(nL*sizeof(int)); |
---|
[fc5095] | 444 | |
---|
| 445 | Print("\n// #monoms of %s = ", st); |
---|
| 446 | for(i=0; i<nL; i++) |
---|
| 447 | K[i] = pLength(L->m[i]); |
---|
| 448 | |
---|
| 449 | int j, nsame, nk=0; |
---|
| 450 | for(i=0; i<nL; i++) |
---|
| 451 | { |
---|
| 452 | if(K[i]!=0) |
---|
| 453 | { |
---|
| 454 | nsame = 1; |
---|
| 455 | for(j=i+1; j<nL; j++){ |
---|
[0001f9] | 456 | if(K[j]==K[i]){ |
---|
| 457 | nsame ++; |
---|
| 458 | K[j]=0; |
---|
| 459 | } |
---|
[fc5095] | 460 | } |
---|
| 461 | if(nsame == 1) |
---|
[0001f9] | 462 | Print("%d, ",K[i]); |
---|
[fc5095] | 463 | else |
---|
[0001f9] | 464 | Print("%d[%d], ", K[i], nsame); |
---|
[fc5095] | 465 | } |
---|
| 466 | } |
---|
[0001f9] | 467 | omFree(K); |
---|
[fc5095] | 468 | } |
---|
| 469 | |
---|
| 470 | |
---|
| 471 | |
---|
[85e68dd] | 472 | static void ivString(intvec* iv, const char* ch) |
---|
[fc5095] | 473 | { |
---|
| 474 | int nV = iv->length()-1; |
---|
| 475 | //Print("\n// vector %s = (", ch); |
---|
| 476 | Print("\n// intvec %s = ", ch); |
---|
| 477 | |
---|
| 478 | for(int i=0; i<nV; i++) |
---|
| 479 | Print("%d, ", (*iv)[i]); |
---|
| 480 | Print("%d;", (*iv)[nV]); |
---|
| 481 | } |
---|
| 482 | |
---|
| 483 | static void MivString(intvec* iva, intvec* ivb, intvec* ivc) |
---|
[847242] | 484 | { |
---|
[fc5095] | 485 | int nV = iva->length()-1; |
---|
[847242] | 486 | int i; |
---|
[fc5095] | 487 | PrintS("\n// ("); |
---|
| 488 | for(i=0; i<nV; i++) |
---|
| 489 | Print("%d, ", (*iva)[i]); |
---|
| 490 | Print("%d) ==> (", (*iva)[nV]); |
---|
| 491 | |
---|
| 492 | for(i=0; i<nV; i++) |
---|
| 493 | Print("%d, ", (*ivb)[i]); |
---|
| 494 | Print("%d) := (", (*ivb)[nV]); |
---|
[0001f9] | 495 | |
---|
[fc5095] | 496 | for(i=0; i<nV; i++) |
---|
| 497 | Print("%d, ", (*ivc)[i]); |
---|
| 498 | Print("%d)", (*ivc)[nV]); |
---|
[50cbdc] | 499 | } |
---|
| 500 | |
---|
| 501 | |
---|
| 502 | // returns gcd of integers a and b |
---|
| 503 | static inline long gcd(const long a, const long b) |
---|
| 504 | { |
---|
| 505 | long r, p0 = a, p1 = b; |
---|
| 506 | //assume(p0 >= 0 && p1 >= 0); |
---|
| 507 | if(p0 < 0) |
---|
| 508 | p0 = -p0; |
---|
| 509 | |
---|
| 510 | if(p1 < 0) |
---|
| 511 | p1 = -p1; |
---|
[fc5095] | 512 | |
---|
[50cbdc] | 513 | while(p1 != 0) |
---|
| 514 | { |
---|
| 515 | r = p0 % p1; |
---|
| 516 | p0 = p1; |
---|
| 517 | p1 = r; |
---|
| 518 | } |
---|
| 519 | return p0; |
---|
| 520 | } |
---|
| 521 | |
---|
| 522 | // cancel gcd of integers zaehler and nenner |
---|
[fc5095] | 523 | static void cancel(mpz_t zaehler, mpz_t nenner) |
---|
[50cbdc] | 524 | { |
---|
[fc5095] | 525 | // assume(zaehler >= 0 && nenner > 0); |
---|
| 526 | mpz_t g; |
---|
| 527 | mpz_init(g); |
---|
| 528 | mpz_gcd(g, zaehler, nenner); |
---|
| 529 | |
---|
| 530 | mpz_div(zaehler , zaehler, g); |
---|
| 531 | mpz_div(nenner , nenner, g); |
---|
| 532 | |
---|
| 533 | mpz_clear(g); |
---|
| 534 | } |
---|
| 535 | |
---|
| 536 | /* 23.07.03 */ |
---|
| 537 | static int isVectorNeg(intvec* omega) |
---|
| 538 | { |
---|
| 539 | int i; |
---|
| 540 | |
---|
| 541 | for(i=omega->length(); i>=0; i--) |
---|
| 542 | if((*omega)[i]<0) |
---|
| 543 | return 1; |
---|
| 544 | |
---|
| 545 | return 0; |
---|
[50cbdc] | 546 | } |
---|
| 547 | |
---|
| 548 | /******************************************************************** |
---|
| 549 | * compute a weight degree of a monomial p w.r.t. a weight_vector * |
---|
| 550 | ********************************************************************/ |
---|
| 551 | static inline int MLmWeightedDegree(const poly p, intvec* weight) |
---|
| 552 | { |
---|
[fc5095] | 553 | /* 2147483647 is max. integer representation in SINGULAR */ |
---|
| 554 | mpz_t sing_int; |
---|
| 555 | mpz_init_set_ui(sing_int, 2147483647); |
---|
| 556 | |
---|
| 557 | int i, wgrad; |
---|
[0001f9] | 558 | |
---|
[fc5095] | 559 | mpz_t zmul; |
---|
| 560 | mpz_init(zmul); |
---|
| 561 | mpz_t zvec; |
---|
| 562 | mpz_init(zvec); |
---|
| 563 | mpz_t zsum; |
---|
| 564 | mpz_init(zsum); |
---|
[0001f9] | 565 | |
---|
[e94918] | 566 | for (i=currRing->N; i>0; i--) |
---|
[fc5095] | 567 | { |
---|
| 568 | mpz_set_si(zvec, (*weight)[i-1]); |
---|
| 569 | mpz_mul_ui(zmul, zvec, pGetExp(p, i)); |
---|
| 570 | mpz_add(zsum, zsum, zmul); |
---|
| 571 | } |
---|
[a3bc95e] | 572 | |
---|
[fc5095] | 573 | wgrad = mpz_get_ui(zsum); |
---|
[50cbdc] | 574 | |
---|
[fc5095] | 575 | if(mpz_cmp(zsum, sing_int)>0) |
---|
| 576 | { |
---|
| 577 | if(Overflow_Error == FALSE) { |
---|
| 578 | PrintLn(); |
---|
| 579 | PrintS("\n// ** OVERFLOW in \"MwalkInitialForm\": "); |
---|
| 580 | mpz_out_str( stdout, 10, zsum); |
---|
| 581 | PrintS(" is greater than 2147483647 (max. integer representation)"); |
---|
| 582 | Overflow_Error = TRUE; |
---|
| 583 | } |
---|
| 584 | } |
---|
[0001f9] | 585 | |
---|
[fc5095] | 586 | return wgrad; |
---|
[50cbdc] | 587 | } |
---|
| 588 | |
---|
| 589 | /******************************************************************** |
---|
| 590 | * compute a weight degree of a polynomial p w.r.t. a weight_vector * |
---|
| 591 | ********************************************************************/ |
---|
| 592 | static inline int MwalkWeightDegree(poly p, intvec* weight_vector) |
---|
| 593 | { |
---|
[643b538] | 594 | assume(weight_vector->length() >= currRing->N); |
---|
[50cbdc] | 595 | int max = 0, maxtemp; |
---|
| 596 | |
---|
| 597 | while(p != NULL) |
---|
[847242] | 598 | { |
---|
[fc5095] | 599 | maxtemp = MLmWeightedDegree(p, weight_vector); |
---|
[50cbdc] | 600 | pIter(p); |
---|
| 601 | |
---|
[0001f9] | 602 | if (maxtemp > max) |
---|
[50cbdc] | 603 | max = maxtemp; |
---|
[847242] | 604 | } |
---|
[50cbdc] | 605 | return max; |
---|
| 606 | } |
---|
| 607 | |
---|
[fc5095] | 608 | |
---|
| 609 | /******************************************************************** |
---|
| 610 | * compute a weight degree of a monomial p w.r.t. a weight_vector * |
---|
| 611 | ********************************************************************/ |
---|
| 612 | static void MLmWeightedDegree_gmp(mpz_t result, const poly p, intvec* weight) |
---|
| 613 | { |
---|
| 614 | /* 2147483647 is max. integer representation in SINGULAR */ |
---|
| 615 | mpz_t sing_int; |
---|
| 616 | mpz_init_set_ui(sing_int, 2147483647); |
---|
| 617 | |
---|
| 618 | int i, wgrad; |
---|
[0001f9] | 619 | |
---|
[fc5095] | 620 | mpz_t zmul; |
---|
| 621 | mpz_init(zmul); |
---|
| 622 | mpz_t zvec; |
---|
| 623 | mpz_init(zvec); |
---|
| 624 | mpz_t ztmp; |
---|
| 625 | mpz_init(ztmp); |
---|
| 626 | |
---|
[e94918] | 627 | for (i=currRing->N; i>0; i--) |
---|
[fc5095] | 628 | { |
---|
| 629 | mpz_set_si(zvec, (*weight)[i-1]); |
---|
| 630 | mpz_mul_ui(zmul, zvec, pGetExp(p, i)); |
---|
| 631 | mpz_add(ztmp, ztmp, zmul); |
---|
| 632 | } |
---|
| 633 | mpz_init_set(result, ztmp); |
---|
[0001f9] | 634 | mpz_clear(ztmp); |
---|
| 635 | mpz_clear(sing_int); |
---|
| 636 | mpz_clear(zvec); |
---|
| 637 | mpz_clear(zmul); |
---|
[fc5095] | 638 | } |
---|
| 639 | |
---|
| 640 | |
---|
[50cbdc] | 641 | /***************************************************************************** |
---|
| 642 | * return an initial form of the polynom g w.r.t. a weight vector curr_weight * |
---|
| 643 | *****************************************************************************/ |
---|
| 644 | static poly MpolyInitialForm(poly g, intvec* curr_weight) |
---|
| 645 | { |
---|
| 646 | if(g == NULL) |
---|
[fc5095] | 647 | return NULL; |
---|
[a3bc95e] | 648 | |
---|
[fc5095] | 649 | mpz_t max; mpz_init(max); |
---|
| 650 | mpz_t maxtmp; mpz_init(maxtmp); |
---|
[0001f9] | 651 | |
---|
| 652 | poly hg, in_w_g = NULL; |
---|
[a3bc95e] | 653 | |
---|
[50cbdc] | 654 | while(g != NULL) |
---|
| 655 | { |
---|
[fc5095] | 656 | hg = g; |
---|
[50cbdc] | 657 | pIter(g); |
---|
[fc5095] | 658 | MLmWeightedDegree_gmp(maxtmp, hg, curr_weight); |
---|
[50cbdc] | 659 | |
---|
[0001f9] | 660 | if(mpz_cmp(maxtmp, max)>0) |
---|
[50cbdc] | 661 | { |
---|
[fc5095] | 662 | mpz_init_set(max, maxtmp); |
---|
| 663 | pDelete(&in_w_g); |
---|
| 664 | in_w_g = pHead(hg); |
---|
[0001f9] | 665 | } |
---|
[fc5095] | 666 | else { |
---|
| 667 | if(mpz_cmp(maxtmp, max)==0) |
---|
| 668 | in_w_g = pAdd(in_w_g, pHead(hg)); |
---|
[50cbdc] | 669 | } |
---|
| 670 | } |
---|
| 671 | return in_w_g; |
---|
| 672 | } |
---|
| 673 | |
---|
[fc5095] | 674 | /************************************************************************ |
---|
| 675 | * compute the initial form of an ideal <G> w.r.t. a weight vector iva * |
---|
| 676 | ************************************************************************/ |
---|
| 677 | ideal MwalkInitialForm(ideal G, intvec* ivw) |
---|
[50cbdc] | 678 | { |
---|
[fc5095] | 679 | BOOLEAN nError = Overflow_Error; |
---|
| 680 | Overflow_Error = FALSE; |
---|
[50cbdc] | 681 | |
---|
[fc5095] | 682 | int i, nG = IDELEMS(G); |
---|
| 683 | ideal Gomega = idInit(nG, 1); |
---|
[50cbdc] | 684 | |
---|
[fc5095] | 685 | for(i=nG-1; i>=0; i--) |
---|
| 686 | Gomega->m[i] = MpolyInitialForm(G->m[i], ivw); |
---|
| 687 | |
---|
| 688 | if(Overflow_Error == FALSE) |
---|
| 689 | Overflow_Error = nError; |
---|
| 690 | |
---|
| 691 | return Gomega; |
---|
[847242] | 692 | } |
---|
| 693 | |
---|
[50cbdc] | 694 | /************************************************************************ |
---|
[fc5095] | 695 | * test whether the weight vector iv is in the cone of the ideal G * |
---|
| 696 | * i.e. are in(in_w(g)) =? in(g), for all g in G * |
---|
[50cbdc] | 697 | ************************************************************************/ |
---|
[fc5095] | 698 | |
---|
| 699 | static int test_w_in_ConeCC(ideal G, intvec* iv) |
---|
[50cbdc] | 700 | { |
---|
[fc5095] | 701 | if(G->m[0] == NULL) |
---|
| 702 | { |
---|
| 703 | PrintS("//** the result may be WRONG, i.e. 0!!\n"); |
---|
| 704 | return 0; |
---|
| 705 | } |
---|
| 706 | |
---|
| 707 | BOOLEAN nError = Overflow_Error; |
---|
| 708 | Overflow_Error = FALSE; |
---|
| 709 | |
---|
| 710 | int i, nG = IDELEMS(G); |
---|
| 711 | poly mi, gi; |
---|
| 712 | |
---|
| 713 | for(i=nG-1; i>=0; i--) |
---|
[50cbdc] | 714 | { |
---|
| 715 | mi = MpolyInitialForm(G->m[i], iv); |
---|
[fc5095] | 716 | gi = G->m[i]; |
---|
[0001f9] | 717 | |
---|
[fc5095] | 718 | if(mi == NULL) |
---|
[50cbdc] | 719 | { |
---|
[fc5095] | 720 | pDelete(&mi); |
---|
[0001f9] | 721 | |
---|
[fc5095] | 722 | if(Overflow_Error == FALSE) |
---|
| 723 | Overflow_Error = nError; |
---|
[0001f9] | 724 | |
---|
[fc5095] | 725 | return 0; |
---|
[0001f9] | 726 | } |
---|
[fc5095] | 727 | if(!pLmEqual(mi, gi)) |
---|
| 728 | { |
---|
| 729 | pDelete(&mi); |
---|
[0001f9] | 730 | |
---|
[fc5095] | 731 | if(Overflow_Error == FALSE) |
---|
| 732 | Overflow_Error = nError; |
---|
[0001f9] | 733 | |
---|
[fc5095] | 734 | return 0; |
---|
[50cbdc] | 735 | } |
---|
[0001f9] | 736 | |
---|
[fc5095] | 737 | pDelete(&mi); |
---|
[50cbdc] | 738 | } |
---|
[fc5095] | 739 | |
---|
| 740 | if(Overflow_Error == FALSE) |
---|
| 741 | Overflow_Error = nError; |
---|
| 742 | |
---|
[0001f9] | 743 | return 1; |
---|
[50cbdc] | 744 | } |
---|
| 745 | |
---|
[fc5095] | 746 | |
---|
[50cbdc] | 747 | //compute a least common multiple of two integers |
---|
| 748 | static inline long Mlcm(long &i1, long &i2) |
---|
| 749 | { |
---|
[0001f9] | 750 | long temp = gcd(i1, i2); |
---|
[fc5095] | 751 | return ((i1 / temp)* i2); |
---|
[50cbdc] | 752 | } |
---|
| 753 | |
---|
| 754 | |
---|
| 755 | /*************************************************** |
---|
| 756 | * return the dot product of two intvecs a and b * |
---|
| 757 | ***************************************************/ |
---|
| 758 | static inline long MivDotProduct(intvec* a, intvec* b) |
---|
| 759 | { |
---|
| 760 | assume( a->length() == b->length()); |
---|
| 761 | int i, n = a->length(); |
---|
| 762 | long result = 0; |
---|
[0001f9] | 763 | |
---|
[fc5095] | 764 | for(i=n-1; i>=0; i--) |
---|
[50cbdc] | 765 | result += (*a)[i] * (*b)[i]; |
---|
| 766 | |
---|
| 767 | return result; |
---|
| 768 | } |
---|
| 769 | |
---|
| 770 | |
---|
[fc5095] | 771 | static intvec* MivSub(intvec* a, intvec* b) |
---|
[a9a7be] | 772 | { |
---|
[fc5095] | 773 | assume( a->length() == b->length()); |
---|
[0001f9] | 774 | int i, n = a->length(); |
---|
| 775 | intvec* result = new intvec(n); |
---|
| 776 | |
---|
[fc5095] | 777 | for(i=n-1; i>=0; i--) |
---|
| 778 | (*result)[i] = (*a)[i] - (*b)[i]; |
---|
[a9a7be] | 779 | |
---|
[50cbdc] | 780 | return result; |
---|
[a9a7be] | 781 | } |
---|
| 782 | |
---|
[fc5095] | 783 | /**21.10.00******************************************* |
---|
| 784 | * return the "intvec" lead exponent of a polynomial * |
---|
[50cbdc] | 785 | *****************************************************/ |
---|
[fc5095] | 786 | static intvec* MExpPol(poly f) |
---|
[a9a7be] | 787 | { |
---|
[fc5095] | 788 | int i, nR = currRing->N; |
---|
| 789 | intvec* result = new intvec(nR); |
---|
[0001f9] | 790 | |
---|
[fc5095] | 791 | for(i=nR-1; i>=0; i--) |
---|
| 792 | (*result)[i] = pGetExp(f,i+1); |
---|
[50cbdc] | 793 | |
---|
| 794 | return result; |
---|
[a9a7be] | 795 | } |
---|
| 796 | |
---|
[fc5095] | 797 | /* return 1, if two given intvecs are the same, otherwise 0*/ |
---|
| 798 | int MivSame(intvec* u , intvec* v) |
---|
[0001f9] | 799 | { |
---|
[50cbdc] | 800 | assume(u->length() == v->length()); |
---|
| 801 | |
---|
| 802 | int i, niv = u->length(); |
---|
[0001f9] | 803 | |
---|
[50cbdc] | 804 | for (i=0; i<niv; i++) |
---|
| 805 | if ((*u)[i] != (*v)[i]) |
---|
[fc5095] | 806 | return 0; |
---|
[50cbdc] | 807 | |
---|
[0001f9] | 808 | return 1; |
---|
[50cbdc] | 809 | } |
---|
| 810 | |
---|
[fc5095] | 811 | int M3ivSame(intvec* temp, intvec* u , intvec* v) |
---|
[0001f9] | 812 | { |
---|
[50cbdc] | 813 | assume(temp->length() == u->length() && u->length() == v->length()); |
---|
| 814 | |
---|
[fc5095] | 815 | if((MivSame(temp, u)) == 1) |
---|
[0001f9] | 816 | return 0; |
---|
[50cbdc] | 817 | |
---|
[fc5095] | 818 | if((MivSame(temp, v)) == 1) |
---|
| 819 | return 1; |
---|
[a3bc95e] | 820 | |
---|
[0001f9] | 821 | return 2; |
---|
[50cbdc] | 822 | } |
---|
| 823 | |
---|
| 824 | |
---|
| 825 | /* compute a Groebner basis of an ideal */ |
---|
[fc5095] | 826 | static ideal MstdCC(ideal G) |
---|
[50cbdc] | 827 | { |
---|
[fc5095] | 828 | int save_test=test; |
---|
| 829 | test|=(Sy_bit(OPT_REDTAIL)|Sy_bit(OPT_REDSB)); |
---|
| 830 | ideal G1 = kStd(G, NULL, testHomog, NULL); |
---|
| 831 | test=save_test; |
---|
[0001f9] | 832 | |
---|
[fc5095] | 833 | idSkipZeroes(G1); |
---|
| 834 | return G1; |
---|
[50cbdc] | 835 | } |
---|
| 836 | |
---|
| 837 | |
---|
[fc5095] | 838 | /* compute a Groebner basis of a homogenoues ideal */ |
---|
| 839 | static ideal MstdhomCC(ideal G) |
---|
[a3bc95e] | 840 | { |
---|
[fc5095] | 841 | int save_test=test; |
---|
| 842 | test|=(Sy_bit(OPT_REDTAIL)|Sy_bit(OPT_REDSB)); |
---|
| 843 | ideal G1 = kStd(G, NULL, isHomog, NULL); |
---|
| 844 | test=save_test; |
---|
[a3bc95e] | 845 | |
---|
[0001f9] | 846 | idSkipZeroes(G1); |
---|
[fc5095] | 847 | return G1; |
---|
[50cbdc] | 848 | } |
---|
| 849 | |
---|
| 850 | |
---|
[fc5095] | 851 | /***************************************************************************** |
---|
| 852 | * create a weight matrix order as intvec of an extra weight vector (a(iv),lp)* |
---|
| 853 | ******************************************************************************/ |
---|
[50cbdc] | 854 | intvec* MivMatrixOrder(intvec* iv) |
---|
| 855 | { |
---|
[0001f9] | 856 | int i,j, nR = iv->length(); |
---|
[50cbdc] | 857 | intvec* ivm = new intvec(nR*nR); |
---|
| 858 | |
---|
| 859 | for(i=0; i<nR; i++) |
---|
| 860 | (*ivm)[i] = (*iv)[i]; |
---|
| 861 | |
---|
| 862 | for(i=1; i<nR; i++) |
---|
[fc5095] | 863 | (*ivm)[i*nR+i-1] = 1; |
---|
[50cbdc] | 864 | |
---|
| 865 | return ivm; |
---|
| 866 | } |
---|
| 867 | |
---|
[fc5095] | 868 | /* return intvec = (1, ..., 1) */ |
---|
[50cbdc] | 869 | intvec* Mivdp(int nR) |
---|
| 870 | { |
---|
[0001f9] | 871 | int i; |
---|
[50cbdc] | 872 | intvec* ivm = new intvec(nR); |
---|
| 873 | |
---|
[fc5095] | 874 | for(i=nR-1; i>=0; i--) |
---|
[50cbdc] | 875 | (*ivm)[i] = 1; |
---|
| 876 | |
---|
| 877 | return ivm; |
---|
| 878 | } |
---|
| 879 | |
---|
[fc5095] | 880 | /* return intvvec = (1,0, ..., 0) */ |
---|
[50cbdc] | 881 | intvec* Mivlp(int nR) |
---|
| 882 | { |
---|
[0001f9] | 883 | int i; |
---|
[50cbdc] | 884 | intvec* ivm = new intvec(nR); |
---|
| 885 | (*ivm)[0] = 1; |
---|
| 886 | |
---|
[0001f9] | 887 | return ivm; |
---|
[50cbdc] | 888 | } |
---|
| 889 | |
---|
[fc5095] | 890 | /**** 28.10.02 print the max total degree and the max coefficient of G***/ |
---|
| 891 | static void checkComplexity(ideal G, char* cG) |
---|
[50cbdc] | 892 | { |
---|
[fc5095] | 893 | int nV = currRing->N; |
---|
| 894 | int nG = IDELEMS(G); |
---|
[0001f9] | 895 | intvec* ivUnit = Mivdp(nV);//19.02 |
---|
[fc5095] | 896 | int i,j, tmpdeg, maxdeg=0; |
---|
[e94918] | 897 | number tmpcoeff , maxcoeff=currRing->cf->nNULL; |
---|
[fc5095] | 898 | poly p; |
---|
| 899 | for(i=nG-1; i>=0; i--) |
---|
| 900 | { |
---|
| 901 | tmpdeg = MwalkWeightDegree(G->m[i], ivUnit); |
---|
[0001f9] | 902 | if (tmpdeg > maxdeg ) |
---|
[fc5095] | 903 | maxdeg = tmpdeg; |
---|
| 904 | } |
---|
[50cbdc] | 905 | |
---|
[fc5095] | 906 | for(i=nG-1; i>=0; i--) |
---|
| 907 | { |
---|
| 908 | p = pCopy(G->m[i]); |
---|
| 909 | while(p != NULL) |
---|
| 910 | { |
---|
| 911 | //tmpcoeff = pGetCoeff(pHead(p)); |
---|
| 912 | tmpcoeff = pGetCoeff(p); |
---|
| 913 | if(nGreater(tmpcoeff,maxcoeff)) |
---|
[0001f9] | 914 | maxcoeff = nCopy(tmpcoeff); |
---|
[fc5095] | 915 | pIter(p); |
---|
| 916 | } |
---|
| 917 | pDelete(&p); |
---|
| 918 | } |
---|
| 919 | p = pNSet(maxcoeff); |
---|
| 920 | char* pStr = pString(p); |
---|
| 921 | Print("// max total degree of %s = %d\n",cG, maxdeg); |
---|
| 922 | Print("// max coefficient of %s = %s", cG, pStr);//ing(p)); |
---|
[2e5f59] | 923 | Print(" which consists of %d digits", (int)strlen(pStr)); |
---|
[fc5095] | 924 | PrintLn(); |
---|
[a9a7be] | 925 | } |
---|
| 926 | |
---|
[fc5095] | 927 | |
---|
| 928 | |
---|
[50cbdc] | 929 | /***************************************************************************** |
---|
| 930 | * If target_ord = intmat(A1, ..., An) then calculate the perturbation * |
---|
| 931 | * vectors * |
---|
| 932 | * tau_p_dep = inveps^(p_deg-1)*A1 + inveps^(p_deg-2)*A2 +... + A_p_deg * |
---|
| 933 | * where * |
---|
| 934 | * inveps > totaldegree(G)*(max(A2)+...+max(A_p_deg)) * |
---|
| 935 | * intmat target_ord is an integer order matrix of the monomial ordering of * |
---|
| 936 | * basering. * |
---|
| 937 | * This programm computes a perturbated vector with a p_deg perturbation * |
---|
[0001f9] | 938 | * degree which smaller than the numbers of variables * |
---|
[50cbdc] | 939 | ******************************************************************************/ |
---|
[fc5095] | 940 | /* ivtarget is a matrix order of a degree reverse lex. order */ |
---|
[50cbdc] | 941 | intvec* MPertVectors(ideal G, intvec* ivtarget, int pdeg) |
---|
[a9a7be] | 942 | { |
---|
[50cbdc] | 943 | int nV = currRing->N; |
---|
| 944 | //assume(pdeg <= nV && pdeg >= 0); |
---|
| 945 | |
---|
[fc5095] | 946 | int i, j, nG = IDELEMS(G); |
---|
| 947 | intvec* v_null = new intvec(nV); |
---|
[a3bc95e] | 948 | |
---|
[0001f9] | 949 | |
---|
[fc5095] | 950 | //Checking that the perturbed degree is valid |
---|
[50cbdc] | 951 | if(pdeg > nV || pdeg <= 0) |
---|
[0001f9] | 952 | { |
---|
[fc5095] | 953 | WerrorS("//** The perturbed degree is wrong!!"); |
---|
| 954 | return v_null; |
---|
[50cbdc] | 955 | } |
---|
[fc5095] | 956 | delete v_null; |
---|
[0001f9] | 957 | |
---|
[50cbdc] | 958 | if(pdeg == 1) |
---|
[fc5095] | 959 | return ivtarget; |
---|
[a3bc95e] | 960 | |
---|
[0001f9] | 961 | mpz_t *pert_vector=(mpz_t*)omAlloc(nV*sizeof(mpz_t)); |
---|
| 962 | |
---|
[fc5095] | 963 | for(i=0; i<nV; i++) |
---|
| 964 | mpz_init_set_si(pert_vector[i], (*ivtarget)[i]); |
---|
[0001f9] | 965 | |
---|
| 966 | |
---|
[50cbdc] | 967 | // Calculate max1 = Max(A2)+Max(A3)+...+Max(Apdeg), |
---|
| 968 | // where the Ai are the i-te rows of the matrix target_ord. |
---|
| 969 | |
---|
| 970 | int ntemp, maxAi, maxA=0; |
---|
[0001f9] | 971 | for(i=1; i<pdeg; i++) |
---|
[50cbdc] | 972 | { |
---|
[a3bc95e] | 973 | maxAi = (*ivtarget)[i*nV]; |
---|
[fc5095] | 974 | if(maxAi<0) maxAi = -maxAi; |
---|
[0001f9] | 975 | |
---|
[50cbdc] | 976 | for(j=i*nV+1; j<(i+1)*nV; j++) |
---|
| 977 | { |
---|
| 978 | ntemp = (*ivtarget)[j]; |
---|
[fc5095] | 979 | if(ntemp < 0) ntemp = -ntemp; |
---|
[0001f9] | 980 | |
---|
[50cbdc] | 981 | if(ntemp > maxAi) |
---|
| 982 | maxAi = ntemp; |
---|
| 983 | } |
---|
[0001f9] | 984 | maxA += maxAi; |
---|
[50cbdc] | 985 | } |
---|
[a3bc95e] | 986 | |
---|
[50cbdc] | 987 | // Calculate inveps = 1/eps, where 1/eps > totaldeg(p)*max1 for all p in G. |
---|
| 988 | |
---|
[fc5095] | 989 | intvec* ivUnit = Mivdp(nV); |
---|
[0001f9] | 990 | |
---|
[fc5095] | 991 | mpz_t tot_deg; mpz_init(tot_deg); |
---|
| 992 | mpz_t maxdeg; mpz_init(maxdeg); |
---|
| 993 | mpz_t inveps; mpz_init(inveps); |
---|
[0001f9] | 994 | |
---|
[fc5095] | 995 | |
---|
| 996 | for(i=nG-1; i>=0; i--) |
---|
[50cbdc] | 997 | { |
---|
[fc5095] | 998 | mpz_set_ui(maxdeg, MwalkWeightDegree(G->m[i], ivUnit)); |
---|
[0001f9] | 999 | if (mpz_cmp(maxdeg, tot_deg) > 0 ) |
---|
[fc5095] | 1000 | mpz_set(tot_deg, maxdeg); |
---|
[50cbdc] | 1001 | } |
---|
[0001f9] | 1002 | |
---|
| 1003 | delete ivUnit; |
---|
[fc5095] | 1004 | mpz_mul_ui(inveps, tot_deg, maxA); |
---|
| 1005 | mpz_add_ui(inveps, inveps, 1); |
---|
| 1006 | |
---|
| 1007 | |
---|
| 1008 | //xx1.06.02 takes "small" inveps |
---|
[0001f9] | 1009 | #ifdef INVEPS_SMALL_IN_MPERTVECTOR |
---|
| 1010 | if(mpz_cmp_ui(inveps, pdeg)>0 && pdeg > 3) |
---|
[fc5095] | 1011 | { |
---|
| 1012 | /* |
---|
[0001f9] | 1013 | Print("\n// choose the\"small\" inverse epsilon := %d / %d = ", |
---|
| 1014 | mpz_get_si(inveps), pdeg); |
---|
[fc5095] | 1015 | */ |
---|
[0001f9] | 1016 | mpz_fdiv_q_ui(inveps, inveps, pdeg); |
---|
[fc5095] | 1017 | //mpz_out_str(stdout, 10, inveps); |
---|
| 1018 | } |
---|
| 1019 | #else |
---|
[0001f9] | 1020 | //PrintS("\n// the \"big\" inverse epsilon: "); |
---|
[fc5095] | 1021 | mpz_out_str(stdout, 10, inveps); |
---|
[0001f9] | 1022 | #endif |
---|
[a3bc95e] | 1023 | |
---|
[50cbdc] | 1024 | // pert(A1) = inveps^(pdeg-1)*A1 + inveps^(pdeg-2)*A2+...+A_pdeg, |
---|
| 1025 | // pert_vector := A1 |
---|
| 1026 | for ( i=1; i < pdeg; i++ ) |
---|
| 1027 | for(j=0; j<nV; j++) |
---|
[fc5095] | 1028 | { |
---|
| 1029 | mpz_mul(pert_vector[j], pert_vector[j], inveps); |
---|
| 1030 | if((*ivtarget)[i*nV+j]<0) |
---|
| 1031 | mpz_sub_ui(pert_vector[j], pert_vector[j],-(*ivtarget)[i*nV+j]); |
---|
| 1032 | else |
---|
| 1033 | mpz_add_ui(pert_vector[j], pert_vector[j],(*ivtarget)[i*nV+j]); |
---|
| 1034 | } |
---|
[0001f9] | 1035 | |
---|
[fc5095] | 1036 | mpz_t ztemp; |
---|
| 1037 | mpz_init(ztemp); |
---|
| 1038 | mpz_set(ztemp, pert_vector[0]); |
---|
[50cbdc] | 1039 | for(i=1; i<nV; i++) |
---|
| 1040 | { |
---|
[fc5095] | 1041 | mpz_gcd(ztemp, ztemp, pert_vector[i]); |
---|
| 1042 | if(mpz_cmp_si(ztemp, 1) == 0) |
---|
[50cbdc] | 1043 | break; |
---|
| 1044 | } |
---|
[fc5095] | 1045 | if(mpz_cmp_si(ztemp, 1) != 0) |
---|
[50cbdc] | 1046 | for(i=0; i<nV; i++) |
---|
[fc5095] | 1047 | mpz_divexact(pert_vector[i], pert_vector[i], ztemp); |
---|
| 1048 | |
---|
| 1049 | intvec* result = new intvec(nV); |
---|
| 1050 | /* 2147483647 is max. integer representation in SINGULAR */ |
---|
| 1051 | mpz_t sing_int; |
---|
| 1052 | mpz_init_set_ui(sing_int, 2147483647); |
---|
[a3bc95e] | 1053 | |
---|
[fc5095] | 1054 | int ntrue=0; |
---|
| 1055 | for(i=0; i<nV; i++) |
---|
| 1056 | { |
---|
| 1057 | (*result)[i] = mpz_get_si(pert_vector[i]); |
---|
[0001f9] | 1058 | |
---|
| 1059 | if(mpz_cmp(pert_vector[i], sing_int)>=0) |
---|
| 1060 | { |
---|
[fc5095] | 1061 | ntrue++; |
---|
| 1062 | if(Overflow_Error == FALSE) |
---|
| 1063 | { |
---|
| 1064 | Overflow_Error = TRUE; |
---|
| 1065 | PrintS("\n// ** OVERFLOW in \"MPertvectors\": "); |
---|
[0001f9] | 1066 | mpz_out_str( stdout, 10, pert_vector[i]); |
---|
[fc5095] | 1067 | PrintS(" is greater than 2147483647 (max. integer representation)"); |
---|
| 1068 | Print("\n// So vector[%d] := %d is wrong!!", i+1, (*result)[i]); |
---|
[0001f9] | 1069 | } |
---|
| 1070 | } |
---|
| 1071 | } |
---|
| 1072 | |
---|
| 1073 | if(Overflow_Error == TRUE) |
---|
[fc5095] | 1074 | { |
---|
| 1075 | ivString(result, "pert_vector"); |
---|
| 1076 | Print("\n// %d element(s) of it is overflow!!", ntrue); |
---|
| 1077 | } |
---|
[0001f9] | 1078 | |
---|
| 1079 | mpz_clear(ztemp); |
---|
| 1080 | mpz_clear(sing_int); |
---|
| 1081 | omFree(pert_vector); |
---|
[fc5095] | 1082 | return result; |
---|
[50cbdc] | 1083 | } |
---|
[a9a7be] | 1084 | |
---|
[fc5095] | 1085 | |
---|
| 1086 | /* ivtarget is a matrix order of the lex. order */ |
---|
[50cbdc] | 1087 | intvec* MPertVectorslp(ideal G, intvec* ivtarget, int pdeg) |
---|
| 1088 | { |
---|
| 1089 | int nV = currRing->N; |
---|
| 1090 | //assume(pdeg <= nV && pdeg >= 0); |
---|
[a9a7be] | 1091 | |
---|
[fc5095] | 1092 | int i, j, nG = IDELEMS(G); |
---|
[50cbdc] | 1093 | intvec* pert_vector = new intvec(nV); |
---|
[0001f9] | 1094 | |
---|
[50cbdc] | 1095 | //Checking that the perturbated degree is valid |
---|
| 1096 | if(pdeg > nV || pdeg <= 0) |
---|
[0001f9] | 1097 | { |
---|
[fc5095] | 1098 | WerrorS("//** The perturbed degree is wrong!!"); |
---|
[50cbdc] | 1099 | return pert_vector; |
---|
| 1100 | } |
---|
| 1101 | for(i=0; i<nV; i++) |
---|
| 1102 | (*pert_vector)[i]=(*ivtarget)[i]; |
---|
[a9a7be] | 1103 | |
---|
[50cbdc] | 1104 | if(pdeg == 1) |
---|
| 1105 | return pert_vector; |
---|
[0001f9] | 1106 | |
---|
[50cbdc] | 1107 | // Calculate max1 = Max(A2)+Max(A3)+...+Max(Apdeg), |
---|
| 1108 | // where the Ai are the i-te rows of the matrix target_ord. |
---|
| 1109 | int ntemp, maxAi, maxA=0; |
---|
| 1110 | for(i=1; i<pdeg; i++) |
---|
[a9a7be] | 1111 | { |
---|
[0001f9] | 1112 | maxAi = (*ivtarget)[i*nV]; |
---|
[50cbdc] | 1113 | for(j=i*nV+1; j<(i+1)*nV; j++) |
---|
[a9a7be] | 1114 | { |
---|
[50cbdc] | 1115 | ntemp = (*ivtarget)[j]; |
---|
| 1116 | if(ntemp > maxAi) |
---|
| 1117 | maxAi = ntemp; |
---|
| 1118 | } |
---|
[0001f9] | 1119 | maxA += maxAi; |
---|
[50cbdc] | 1120 | } |
---|
[0001f9] | 1121 | |
---|
[50cbdc] | 1122 | // Calculate inveps := 1/eps, where 1/eps > deg(p)*max1 for all p in G. |
---|
| 1123 | int inveps, tot_deg = 0, maxdeg; |
---|
| 1124 | |
---|
[0001f9] | 1125 | intvec* ivUnit = Mivdp(nV);//19.02 |
---|
[fc5095] | 1126 | for(i=nG-1; i>=0; i--) |
---|
[50cbdc] | 1127 | { |
---|
| 1128 | //maxdeg = pTotaldegree(G->m[i], currRing); //it's wrong for ex1,2,rose |
---|
| 1129 | maxdeg = MwalkWeightDegree(G->m[i], ivUnit); |
---|
[0001f9] | 1130 | if (maxdeg > tot_deg ) |
---|
[50cbdc] | 1131 | tot_deg = maxdeg; |
---|
| 1132 | } |
---|
[fc5095] | 1133 | delete ivUnit; |
---|
[50cbdc] | 1134 | |
---|
[fc5095] | 1135 | inveps = (tot_deg * maxA) + 1; |
---|
[0001f9] | 1136 | |
---|
[fc5095] | 1137 | //9.10.01 |
---|
[0001f9] | 1138 | #ifdef INVEPS_SMALL_IN_FRACTAL |
---|
[fc5095] | 1139 | /* |
---|
[0001f9] | 1140 | Print("\n// choose the\"small\" inverse epsilon := %d / %d = ", |
---|
| 1141 | inveps, pdeg); |
---|
[fc5095] | 1142 | */ |
---|
[0001f9] | 1143 | if(inveps > pdeg && pdeg > 3) |
---|
[fc5095] | 1144 | inveps = inveps / pdeg; |
---|
| 1145 | |
---|
| 1146 | //Print(" %d", inveps); |
---|
| 1147 | #else |
---|
[0001f9] | 1148 | PrintS("\n// the \"big\" inverse epsilon %d", inveps); |
---|
[fc5095] | 1149 | #endif |
---|
[0001f9] | 1150 | |
---|
[50cbdc] | 1151 | // Pert(A1) = inveps^(pdeg-1)*A1 + inveps^(pdeg-2)*A2+...+A_pdeg, |
---|
| 1152 | for ( i=1; i < pdeg; i++ ) |
---|
| 1153 | for(j=0; j<nV; j++) |
---|
| 1154 | (*pert_vector)[j] = inveps*((*pert_vector)[j]) + (*ivtarget)[i*nV+j]; |
---|
[0001f9] | 1155 | |
---|
[50cbdc] | 1156 | int temp = (*pert_vector)[0]; |
---|
| 1157 | for(i=1; i<nV; i++) |
---|
| 1158 | { |
---|
| 1159 | temp = gcd(temp, (*pert_vector)[i]); |
---|
| 1160 | if(temp == 1) |
---|
| 1161 | break; |
---|
| 1162 | } |
---|
| 1163 | if(temp != 1) |
---|
| 1164 | for(i=0; i<nV; i++) |
---|
| 1165 | (*pert_vector)[i] = (*pert_vector)[i] / temp; |
---|
| 1166 | |
---|
[fc5095] | 1167 | intvec* result = pert_vector; |
---|
| 1168 | pert_vector = NULL; |
---|
| 1169 | return result; |
---|
[50cbdc] | 1170 | } |
---|
| 1171 | |
---|
| 1172 | |
---|
[fc5095] | 1173 | /* define a lexicographic order matrix as intvec */ |
---|
[50cbdc] | 1174 | intvec* MivMatrixOrderlp(int nV) |
---|
| 1175 | { |
---|
| 1176 | int i; |
---|
| 1177 | intvec* ivM = new intvec(nV*nV); |
---|
[0001f9] | 1178 | |
---|
[50cbdc] | 1179 | for(i=0; i<nV; i++) |
---|
| 1180 | (*ivM)[i*nV + i] = 1; |
---|
[0001f9] | 1181 | |
---|
[50cbdc] | 1182 | return(ivM); |
---|
| 1183 | } |
---|
[a9a7be] | 1184 | |
---|
[fc5095] | 1185 | /* define a rlex order (dp) matrix as intvec */ |
---|
[50cbdc] | 1186 | intvec* MivMatrixOrderdp(int nV) |
---|
| 1187 | { |
---|
| 1188 | int i; |
---|
| 1189 | intvec* ivM = new intvec(nV*nV); |
---|
[0001f9] | 1190 | |
---|
[50cbdc] | 1191 | for(i=0; i<nV; i++) |
---|
| 1192 | (*ivM)[i] = 1; |
---|
| 1193 | |
---|
| 1194 | for(i=1; i<nV; i++) |
---|
| 1195 | (*ivM)[(i+1)*nV - i] = -1; |
---|
[0001f9] | 1196 | |
---|
[50cbdc] | 1197 | return(ivM); |
---|
| 1198 | } |
---|
| 1199 | |
---|
| 1200 | //creates an intvec of the monomial order Wp(ivstart) |
---|
| 1201 | intvec* MivWeightOrderlp(intvec* ivstart) |
---|
| 1202 | { |
---|
| 1203 | int i; |
---|
| 1204 | int nV = ivstart->length(); |
---|
| 1205 | intvec* ivM = new intvec(nV*nV); |
---|
[0001f9] | 1206 | |
---|
[50cbdc] | 1207 | for(i=0; i<nV; i++) |
---|
| 1208 | (*ivM)[i] = (*ivstart)[i]; |
---|
| 1209 | |
---|
| 1210 | for(i=1; i<nV; i++) |
---|
| 1211 | (*ivM)[i*nV + i-1] = 1; |
---|
[0001f9] | 1212 | |
---|
[50cbdc] | 1213 | return(ivM); |
---|
| 1214 | } |
---|
| 1215 | |
---|
| 1216 | intvec* MivWeightOrderdp(intvec* ivstart) |
---|
| 1217 | { |
---|
| 1218 | int i; |
---|
| 1219 | int nV = ivstart->length(); |
---|
| 1220 | intvec* ivM = new intvec(nV*nV); |
---|
[0001f9] | 1221 | |
---|
[50cbdc] | 1222 | for(i=0; i<nV; i++) |
---|
| 1223 | (*ivM)[i] = (*ivstart)[i]; |
---|
| 1224 | |
---|
| 1225 | for(i=0; i<nV; i++) |
---|
| 1226 | (*ivM)[nV+i] = 1; |
---|
| 1227 | |
---|
| 1228 | for(i=2; i<nV; i++) |
---|
| 1229 | (*ivM)[(i+1)*nV - i] = -1; |
---|
[0001f9] | 1230 | |
---|
[fc5095] | 1231 | return(ivM); |
---|
| 1232 | } |
---|
| 1233 | |
---|
| 1234 | static intvec* MatrixOrderdp(int nV) |
---|
| 1235 | { |
---|
| 1236 | int i; |
---|
| 1237 | intvec* ivM = new intvec(nV*nV); |
---|
[0001f9] | 1238 | |
---|
[fc5095] | 1239 | for(i=0; i<nV; i++) |
---|
| 1240 | (*ivM)[i] = 1; |
---|
[a3bc95e] | 1241 | |
---|
[fc5095] | 1242 | for(i=1; i<nV; i++) |
---|
| 1243 | (*ivM)[(i+1)*nV - i] = -1; |
---|
[0001f9] | 1244 | |
---|
[50cbdc] | 1245 | return(ivM); |
---|
| 1246 | } |
---|
| 1247 | |
---|
| 1248 | intvec* MivUnit(int nV) |
---|
| 1249 | { |
---|
| 1250 | int i; |
---|
| 1251 | intvec* ivM = new intvec(nV); |
---|
[0001f9] | 1252 | |
---|
[fc5095] | 1253 | for(i=nV-1; i>=0; i--) |
---|
[50cbdc] | 1254 | (*ivM)[i] = 1; |
---|
[0001f9] | 1255 | |
---|
[50cbdc] | 1256 | return(ivM); |
---|
| 1257 | } |
---|
| 1258 | |
---|
[fc5095] | 1259 | |
---|
[50cbdc] | 1260 | /************************************************************************ |
---|
| 1261 | * compute a perturbed weight vector of a matrix order w.r.t. an ideal * |
---|
| 1262 | *************************************************************************/ |
---|
[fc5095] | 1263 | int Xnlev; |
---|
| 1264 | |
---|
[50cbdc] | 1265 | intvec* Mfpertvector(ideal G, intvec* ivtarget) |
---|
| 1266 | { |
---|
[fc5095] | 1267 | int i, j, nG = IDELEMS(G); |
---|
[50cbdc] | 1268 | int nV = currRing->N; |
---|
| 1269 | int niv = nV*nV; |
---|
| 1270 | |
---|
| 1271 | // Calculate max1 = Max(A2) + Max(A3) + ... + Max(AnV), |
---|
| 1272 | // where the Ai are the i-te rows of the matrix 'targer_ord'. |
---|
| 1273 | int ntemp, maxAi, maxA=0; |
---|
[0001f9] | 1274 | for(i=1; i<nV; i++) |
---|
[50cbdc] | 1275 | { |
---|
[a3bc95e] | 1276 | maxAi = (*ivtarget)[i*nV]; |
---|
[fc5095] | 1277 | if(maxAi<0) maxAi = -maxAi; |
---|
| 1278 | |
---|
[50cbdc] | 1279 | for(j=i*nV+1; j<(i+1)*nV; j++) |
---|
| 1280 | { |
---|
| 1281 | ntemp = (*ivtarget)[j]; |
---|
[fc5095] | 1282 | if(ntemp < 0) ntemp = -ntemp; |
---|
| 1283 | |
---|
[50cbdc] | 1284 | if(ntemp > maxAi) |
---|
| 1285 | maxAi = ntemp; |
---|
| 1286 | } |
---|
[0001f9] | 1287 | maxA = maxA + maxAi; |
---|
[50cbdc] | 1288 | } |
---|
| 1289 | intvec* ivUnit = Mivdp(nV); |
---|
[0001f9] | 1290 | |
---|
[50cbdc] | 1291 | // Calculate inveps = 1/eps, where 1/eps > deg(p)*max1 for all p in G. |
---|
[fc5095] | 1292 | mpz_t tot_deg; mpz_init(tot_deg); |
---|
| 1293 | mpz_t maxdeg; mpz_init(maxdeg); |
---|
| 1294 | mpz_t inveps; mpz_init(inveps); |
---|
[0001f9] | 1295 | |
---|
[fc5095] | 1296 | |
---|
| 1297 | for(i=nG-1; i>=0; i--) |
---|
[50cbdc] | 1298 | { |
---|
[fc5095] | 1299 | mpz_set_ui(maxdeg, MwalkWeightDegree(G->m[i], ivUnit)); |
---|
[0001f9] | 1300 | if (mpz_cmp(maxdeg, tot_deg) > 0 ) |
---|
[fc5095] | 1301 | mpz_set(tot_deg, maxdeg); |
---|
[50cbdc] | 1302 | } |
---|
[0001f9] | 1303 | |
---|
| 1304 | delete ivUnit; |
---|
| 1305 | //inveps = (tot_deg * maxA) + 1; |
---|
[fc5095] | 1306 | mpz_mul_ui(inveps, tot_deg, maxA); |
---|
| 1307 | mpz_add_ui(inveps, inveps, 1); |
---|
| 1308 | |
---|
| 1309 | //xx1.06.02 takes "small" inveps |
---|
[0001f9] | 1310 | #ifdef INVEPS_SMALL_IN_FRACTAL |
---|
[fc5095] | 1311 | if(mpz_cmp_ui(inveps, nV)>0 && nV > 3) |
---|
| 1312 | mpz_cdiv_q_ui(inveps, inveps, nV); |
---|
| 1313 | |
---|
| 1314 | //PrintS("\n// choose the \"small\" inverse epsilon!"); |
---|
[0001f9] | 1315 | #endif |
---|
[fc5095] | 1316 | |
---|
| 1317 | // PrintLn(); mpz_out_str(stdout, 10, inveps); |
---|
[0001f9] | 1318 | |
---|
[50cbdc] | 1319 | // Calculate the perturbed target orders: |
---|
[0001f9] | 1320 | mpz_t *ivtemp=(mpz_t *)omAlloc(nV*sizeof(mpz_t)); |
---|
| 1321 | mpz_t *pert_vector=(mpz_t *)omAlloc(niv*sizeof(mpz_t)); |
---|
| 1322 | |
---|
[50cbdc] | 1323 | for(i=0; i<nV; i++) |
---|
| 1324 | { |
---|
[fc5095] | 1325 | mpz_init_set_si(ivtemp[i], (*ivtarget)[i]); |
---|
| 1326 | mpz_init_set_si(pert_vector[i], (*ivtarget)[i]); |
---|
[50cbdc] | 1327 | } |
---|
[0001f9] | 1328 | |
---|
[fc5095] | 1329 | mpz_t ztmp; mpz_init(ztmp); |
---|
| 1330 | BOOLEAN isneg = FALSE; |
---|
| 1331 | |
---|
[50cbdc] | 1332 | for(i=1; i<nV; i++) |
---|
| 1333 | { |
---|
| 1334 | for(j=0; j<nV; j++) |
---|
[fc5095] | 1335 | { |
---|
| 1336 | mpz_mul(ztmp, inveps, ivtemp[j]); |
---|
[0001f9] | 1337 | |
---|
[fc5095] | 1338 | if((*ivtarget)[i*nV+j]<0) |
---|
[0001f9] | 1339 | mpz_sub_ui(ivtemp[j], ztmp, -(*ivtarget)[i*nV+j]); |
---|
| 1340 | else |
---|
[fc5095] | 1341 | mpz_add_ui(ivtemp[j], ztmp,(*ivtarget)[i*nV+j]); |
---|
| 1342 | } |
---|
[50cbdc] | 1343 | |
---|
[0001f9] | 1344 | for(j=0; j<nV; j++) |
---|
| 1345 | mpz_init_set(pert_vector[i*nV+j],ivtemp[j]); |
---|
[fc5095] | 1346 | } |
---|
[0001f9] | 1347 | |
---|
[fc5095] | 1348 | /* 2147483647 is max. integer representation in SINGULAR */ |
---|
| 1349 | mpz_t sing_int; |
---|
| 1350 | mpz_init_set_ui(sing_int, 2147483647); |
---|
| 1351 | |
---|
| 1352 | intvec* result = new intvec(niv); |
---|
| 1353 | BOOLEAN nflow = FALSE; |
---|
[0001f9] | 1354 | |
---|
| 1355 | // computes gcd |
---|
| 1356 | mpz_set(ztmp, pert_vector[0]); |
---|
[fc5095] | 1357 | for(i=0; i<niv; i++) |
---|
| 1358 | { |
---|
| 1359 | mpz_gcd(ztmp, ztmp, pert_vector[i]); |
---|
| 1360 | if(mpz_cmp_si(ztmp, 1)==0) |
---|
| 1361 | break; |
---|
| 1362 | } |
---|
[50cbdc] | 1363 | |
---|
[fc5095] | 1364 | for(i=0; i<niv; i++) |
---|
[0001f9] | 1365 | { |
---|
[fc5095] | 1366 | mpz_divexact(pert_vector[i], pert_vector[i], ztmp); |
---|
| 1367 | (* result)[i] = mpz_get_si(pert_vector[i]); |
---|
[0001f9] | 1368 | |
---|
[fc5095] | 1369 | if(mpz_cmp(pert_vector[i], sing_int)>0) |
---|
| 1370 | if(nflow == FALSE) |
---|
| 1371 | { |
---|
| 1372 | Xnlev = i / nV; |
---|
| 1373 | nflow = TRUE; |
---|
| 1374 | Overflow_Error = TRUE; |
---|
| 1375 | |
---|
| 1376 | Print("\n// Xlev = %d and the %d-th element is", Xnlev, i+1); |
---|
| 1377 | PrintS("\n// ** OVERFLOW in \"Mfpertvector\": "); |
---|
| 1378 | mpz_out_str( stdout, 10, pert_vector[i]); |
---|
| 1379 | PrintS(" is greater than 2147483647 (max. integer representation)"); |
---|
| 1380 | Print("\n// So vector[%d] := %d is wrong!!", i+1, (*result)[i]); |
---|
| 1381 | } |
---|
| 1382 | } |
---|
[50cbdc] | 1383 | |
---|
[fc5095] | 1384 | if(Overflow_Error == TRUE) |
---|
| 1385 | ivString(result, "new_vector"); |
---|
[0001f9] | 1386 | |
---|
| 1387 | omFree(pert_vector); |
---|
| 1388 | omFree(ivtemp); |
---|
| 1389 | mpz_clear(ztmp); |
---|
| 1390 | |
---|
[fc5095] | 1391 | return result; |
---|
[50cbdc] | 1392 | } |
---|
| 1393 | |
---|
| 1394 | /**************************************************************** |
---|
| 1395 | * Multiplikation of two ideals by elementwise * |
---|
| 1396 | * i.e. Let be A := (a_i) and B := (b_i), return C := (a_i*b_i) * |
---|
[fc5095] | 1397 | * destroy A, keeps B * |
---|
[50cbdc] | 1398 | ****************************************************************/ |
---|
[fc5095] | 1399 | static ideal MidMult(ideal A, ideal B) |
---|
[50cbdc] | 1400 | { |
---|
| 1401 | int mA = IDELEMS(A), mB = IDELEMS(B); |
---|
| 1402 | |
---|
| 1403 | if(A==NULL || B==NULL) |
---|
[fc5095] | 1404 | return NULL; |
---|
[a3bc95e] | 1405 | |
---|
[0001f9] | 1406 | if(mB < mA) |
---|
[50cbdc] | 1407 | mA = mB; |
---|
[fc5095] | 1408 | |
---|
| 1409 | ideal result = idInit(mA, 1); |
---|
[a3bc95e] | 1410 | |
---|
[50cbdc] | 1411 | int i, k=0; |
---|
| 1412 | for(i=0; i<mA; i++) |
---|
[0001f9] | 1413 | { |
---|
[fc5095] | 1414 | result->m[k] = pMult(A->m[i], pCopy(B->m[i])); |
---|
| 1415 | A->m[i]=NULL; |
---|
| 1416 | if (result->m[k]!=NULL) k++; |
---|
[50cbdc] | 1417 | } |
---|
[0001f9] | 1418 | |
---|
[fc5095] | 1419 | idDelete(&A); |
---|
| 1420 | idSkipZeroes(result); |
---|
[0001f9] | 1421 | return result; |
---|
[50cbdc] | 1422 | } |
---|
| 1423 | |
---|
| 1424 | /********************************************************************* |
---|
| 1425 | * G is a red. Groebner basis w.r.t. <_1 * |
---|
| 1426 | * Gomega is an initial form ideal of <G> w.r.t. a weight vector w * |
---|
| 1427 | * M is a subideal of <Gomega> and M selft is a red. Groebner basis * |
---|
| 1428 | * of the ideal <Gomega> w.r.t. <_w * |
---|
| 1429 | * Let m_i = h1.gw1 + ... + hs.gws for each m_i in M; gwi in Gomega * |
---|
| 1430 | * return F with n(F) = n(M) and f_i = h1.g1 + ... + hs.gs for each i* |
---|
| 1431 | ********************************************************************/ |
---|
[fc5095] | 1432 | static ideal MLifttwoIdeal(ideal Gw, ideal M, ideal G) |
---|
[0001f9] | 1433 | { |
---|
[fc5095] | 1434 | ideal Mtmp = idLift(Gw, M, NULL, FALSE, TRUE, TRUE, NULL); |
---|
| 1435 | |
---|
| 1436 | //3.12.02 Note: if Gw is a GB, then isSB = TRUE, otherwise FALSE |
---|
| 1437 | //So, it is better, if one tests whether Gw is a GB |
---|
| 1438 | //in ideals.cc: |
---|
[0001f9] | 1439 | //idLift (ideal mod, ideal submod,ideal * rest, BOOLEAN goodShape, |
---|
[fc5095] | 1440 | // BOOLEAN isSB,BOOLEAN divide,matrix * unit) |
---|
[0001f9] | 1441 | |
---|
[fc5095] | 1442 | /* Let be Mtmp = {m1,...,ms}, where mi=sum hij.in_gj, for all i=1,...,s |
---|
| 1443 | We compute F = {f1,...,fs}, where fi=sum hij.gj */ |
---|
| 1444 | int i, j, nM = IDELEMS(Mtmp); |
---|
| 1445 | ideal idpol, idLG; |
---|
| 1446 | ideal F = idInit(nM, 1); |
---|
[0001f9] | 1447 | |
---|
[50cbdc] | 1448 | for(i=0; i<nM; i++) |
---|
| 1449 | { |
---|
[fc5095] | 1450 | idpol = idVec2Ideal(Mtmp->m[i]); |
---|
| 1451 | idLG = MidMult(idpol, G); |
---|
[0001f9] | 1452 | idpol = NULL; |
---|
[fc5095] | 1453 | F->m[i] = NULL; |
---|
| 1454 | for(j=IDELEMS(idLG)-1; j>=0; j--) |
---|
| 1455 | { |
---|
| 1456 | F->m[i] = pAdd(F->m[i], idLG->m[j]); |
---|
| 1457 | idLG->m[j]=NULL; |
---|
| 1458 | } |
---|
| 1459 | idDelete(&idLG); |
---|
| 1460 | } |
---|
| 1461 | idDelete(&Mtmp); |
---|
| 1462 | return F; |
---|
| 1463 | } |
---|
| 1464 | |
---|
[a3bc95e] | 1465 | |
---|
[fc5095] | 1466 | static void checkidealCC(ideal G, char* Ch) |
---|
| 1467 | { |
---|
| 1468 | int i,nmon=0,ntmp; |
---|
| 1469 | int nG = IDELEMS(G); |
---|
| 1470 | int n = nG-1; |
---|
| 1471 | Print("\n//** Ideal %s besteht aus %d Polynomen mit ", Ch, nG); |
---|
[0001f9] | 1472 | |
---|
[fc5095] | 1473 | for(i=0; i<nG; i++) |
---|
| 1474 | { |
---|
| 1475 | ntmp = pLength(G->m[i]); |
---|
| 1476 | nmon += ntmp; |
---|
[a3bc95e] | 1477 | |
---|
[fc5095] | 1478 | if(i != n) |
---|
| 1479 | Print("%d, ", ntmp); |
---|
| 1480 | else |
---|
| 1481 | Print(" bzw. %d ", ntmp); |
---|
[50cbdc] | 1482 | } |
---|
[fc5095] | 1483 | PrintS(" Monomen.\n"); |
---|
| 1484 | Print("//** %s besitzt %d Monome.", Ch, nmon); |
---|
| 1485 | PrintLn(); |
---|
| 1486 | } |
---|
[50cbdc] | 1487 | |
---|
[0001f9] | 1488 | static void HeadidString(ideal L, char* st) |
---|
| 1489 | { |
---|
| 1490 | int i, nL = IDELEMS(L)-1; |
---|
[50cbdc] | 1491 | |
---|
[fc5095] | 1492 | Print("// The head terms of the ideal %s = ", st); |
---|
| 1493 | for(i=0; i<nL; i++) |
---|
| 1494 | Print(" %s, ", pString(pHead(L->m[i]))); |
---|
[0001f9] | 1495 | |
---|
[fc5095] | 1496 | Print(" %s;\n", pString(pHead(L->m[nL]))); |
---|
[50cbdc] | 1497 | } |
---|
| 1498 | |
---|
[fc5095] | 1499 | static inline int MivComp(intvec* iva, intvec* ivb) |
---|
| 1500 | { |
---|
| 1501 | assume(iva->length() == ivb->length()); |
---|
| 1502 | int i; |
---|
| 1503 | |
---|
| 1504 | for(i=iva->length()-1; i>=0; i--) |
---|
| 1505 | if((*iva)[i] - (*ivb)[i] != 0) |
---|
| 1506 | return 0; |
---|
| 1507 | |
---|
| 1508 | return 1; |
---|
| 1509 | } |
---|
| 1510 | |
---|
| 1511 | |
---|
| 1512 | /* |
---|
| 1513 | compute a next weight vector between curr_weight and target_weight |
---|
| 1514 | with respect to an ideal G. |
---|
| 1515 | */ |
---|
[0001f9] | 1516 | static intvec* MwalkNextWeightCC(intvec* curr_weight, intvec* target_weight, |
---|
[fc5095] | 1517 | ideal G) |
---|
[50cbdc] | 1518 | { |
---|
[fc5095] | 1519 | BOOLEAN nError = Overflow_Error; |
---|
| 1520 | Overflow_Error = FALSE; |
---|
| 1521 | |
---|
[0001f9] | 1522 | assume(currRing != NULL && curr_weight != NULL && |
---|
[50cbdc] | 1523 | target_weight != NULL && G != NULL); |
---|
| 1524 | |
---|
| 1525 | int nRing = currRing->N; |
---|
[fc5095] | 1526 | int j, nG = IDELEMS(G); |
---|
[50cbdc] | 1527 | intvec* ivtemp; |
---|
| 1528 | |
---|
[fc5095] | 1529 | mpz_t t_zaehler, t_nenner; |
---|
| 1530 | mpz_init(t_zaehler); |
---|
| 1531 | mpz_init(t_nenner); |
---|
| 1532 | |
---|
[0001f9] | 1533 | mpz_t s_zaehler, s_nenner, temp, MwWd; |
---|
[fc5095] | 1534 | mpz_init(s_zaehler); |
---|
| 1535 | mpz_init(s_nenner); |
---|
| 1536 | mpz_init(temp); |
---|
| 1537 | mpz_init(MwWd); |
---|
| 1538 | |
---|
| 1539 | |
---|
[0001f9] | 1540 | mpz_t deg_w0_p1, deg_d0_p1; |
---|
[fc5095] | 1541 | mpz_init(deg_w0_p1); |
---|
| 1542 | mpz_init(deg_d0_p1); |
---|
| 1543 | |
---|
| 1544 | mpz_t sztn, sntz; |
---|
| 1545 | mpz_init(sztn); |
---|
| 1546 | mpz_init(sntz); |
---|
| 1547 | mpz_t t_null; |
---|
| 1548 | mpz_init(t_null); |
---|
| 1549 | |
---|
| 1550 | mpz_t ggt; |
---|
[0001f9] | 1551 | |
---|
[fc5095] | 1552 | int tn0, tn1, tz1, ncmp, gcd_tmp, ntmp; |
---|
| 1553 | intvec* diff_weight = MivSub(target_weight, curr_weight); |
---|
[0001f9] | 1554 | |
---|
[fc5095] | 1555 | poly g, gw; |
---|
[50cbdc] | 1556 | for (j=0; j<nG; j++) |
---|
[a3bc95e] | 1557 | { |
---|
[0001f9] | 1558 | g = G->m[j]; |
---|
| 1559 | if (g != NULL) |
---|
[50cbdc] | 1560 | { |
---|
| 1561 | ivtemp = MExpPol(g); |
---|
[fc5095] | 1562 | mpz_set_si(deg_w0_p1, MivDotProduct(ivtemp, curr_weight)); |
---|
| 1563 | mpz_set_si(deg_d0_p1, MivDotProduct(ivtemp, diff_weight)); |
---|
| 1564 | delete ivtemp; |
---|
[0001f9] | 1565 | |
---|
[a9a7be] | 1566 | pIter(g); |
---|
| 1567 | while (g != NULL) |
---|
| 1568 | { |
---|
[fc5095] | 1569 | ivtemp = MExpPol(g); |
---|
| 1570 | mpz_set_si(MwWd, MivDotProduct(ivtemp, curr_weight)); |
---|
| 1571 | mpz_sub(s_zaehler, deg_w0_p1, MwWd); |
---|
[a9a7be] | 1572 | |
---|
[fc5095] | 1573 | if(mpz_cmp(s_zaehler, t_null) != 0) |
---|
[a3bc95e] | 1574 | { |
---|
[fc5095] | 1575 | mpz_set_si(MwWd, MivDotProduct(ivtemp, diff_weight)); |
---|
| 1576 | mpz_sub(s_nenner, MwWd, deg_d0_p1); |
---|
[0001f9] | 1577 | |
---|
[a9a7be] | 1578 | // check for 0 < s <= 1 |
---|
[0001f9] | 1579 | if( (mpz_cmp(s_zaehler,t_null) > 0 && |
---|
[fc5095] | 1580 | mpz_cmp(s_nenner, s_zaehler)>=0) || |
---|
[0001f9] | 1581 | (mpz_cmp(s_zaehler, t_null) < 0 && |
---|
[fc5095] | 1582 | mpz_cmp(s_nenner, s_zaehler)<=0)) |
---|
[a9a7be] | 1583 | { |
---|
| 1584 | // make both positive |
---|
[fc5095] | 1585 | if (mpz_cmp(s_zaehler, t_null) < 0) |
---|
[a9a7be] | 1586 | { |
---|
[fc5095] | 1587 | mpz_neg(s_zaehler, s_zaehler); |
---|
| 1588 | mpz_neg(s_nenner, s_nenner); |
---|
[a9a7be] | 1589 | } |
---|
[0001f9] | 1590 | |
---|
[fc5095] | 1591 | //compute a simply fraction of s |
---|
[50cbdc] | 1592 | cancel(s_zaehler, s_nenner); |
---|
[0001f9] | 1593 | |
---|
[fc5095] | 1594 | if(mpz_cmp(t_nenner, t_null) != 0) |
---|
[0001f9] | 1595 | { |
---|
[fc5095] | 1596 | mpz_mul(sztn, s_zaehler, t_nenner); |
---|
| 1597 | mpz_mul(sntz, s_nenner, t_zaehler); |
---|
[0001f9] | 1598 | |
---|
[fc5095] | 1599 | if(mpz_cmp(sztn,sntz) < 0) |
---|
[0001f9] | 1600 | { |
---|
[fc5095] | 1601 | mpz_add(t_nenner, t_null, s_nenner); |
---|
| 1602 | mpz_add(t_zaehler,t_null, s_zaehler); |
---|
[0001f9] | 1603 | } |
---|
[50cbdc] | 1604 | } |
---|
| 1605 | else |
---|
[a9a7be] | 1606 | { |
---|
[fc5095] | 1607 | mpz_add(t_nenner, t_null, s_nenner); |
---|
| 1608 | mpz_add(t_zaehler,t_null, s_zaehler); |
---|
[a9a7be] | 1609 | } |
---|
| 1610 | } |
---|
| 1611 | } |
---|
[fc5095] | 1612 | pIter(g); |
---|
| 1613 | delete ivtemp; |
---|
[a9a7be] | 1614 | } |
---|
| 1615 | } |
---|
| 1616 | } |
---|
[fc5095] | 1617 | |
---|
[0001f9] | 1618 | mpz_t *vec=(mpz_t*)omAlloc(nRing*sizeof(mpz_t)); |
---|
[fc5095] | 1619 | |
---|
[0001f9] | 1620 | /* there is no 0<t<1 and define the next weight vector that is equal to |
---|
[fc5095] | 1621 | the current weight vector */ |
---|
| 1622 | if(mpz_cmp(t_nenner, t_null) == 0) |
---|
[0001f9] | 1623 | { |
---|
| 1624 | delete diff_weight; |
---|
[fc5095] | 1625 | diff_weight = ivCopy(curr_weight);//take memory |
---|
| 1626 | goto FINISH; |
---|
[50cbdc] | 1627 | } |
---|
[a3bc95e] | 1628 | |
---|
[0001f9] | 1629 | /* define the target vector as the next weight vector, if t = 1 */ |
---|
[fc5095] | 1630 | if(mpz_cmp_si(t_nenner, 1)==0 && mpz_cmp_si(t_zaehler,1)==0) |
---|
[50cbdc] | 1631 | { |
---|
[0001f9] | 1632 | delete diff_weight; |
---|
[fc5095] | 1633 | diff_weight = ivCopy(target_weight); //this takes memory |
---|
| 1634 | goto FINISH; |
---|
[50cbdc] | 1635 | } |
---|
[a3bc95e] | 1636 | |
---|
[fc5095] | 1637 | |
---|
| 1638 | //14.08.03 simplify the both vectors curr_weight and diff_weight (C-int) |
---|
| 1639 | gcd_tmp = (*curr_weight)[0]; |
---|
[0001f9] | 1640 | |
---|
[fc5095] | 1641 | for (j=1; j<nRing; j++) |
---|
[a3bc95e] | 1642 | { |
---|
[fc5095] | 1643 | gcd_tmp = gcd(gcd_tmp, (*curr_weight)[j]); |
---|
| 1644 | if(gcd_tmp == 1) |
---|
| 1645 | break; |
---|
[50cbdc] | 1646 | } |
---|
[0001f9] | 1647 | |
---|
[fc5095] | 1648 | if(gcd_tmp != 1) |
---|
| 1649 | for (j=0; j<nRing; j++) |
---|
[50cbdc] | 1650 | { |
---|
[fc5095] | 1651 | gcd_tmp = gcd(gcd_tmp, (*diff_weight)[j]); |
---|
| 1652 | if(gcd_tmp == 1) |
---|
| 1653 | break; |
---|
[50cbdc] | 1654 | } |
---|
| 1655 | |
---|
[fc5095] | 1656 | if(gcd_tmp != 1) |
---|
| 1657 | for (j=0; j<nRing; j++) |
---|
| 1658 | { |
---|
| 1659 | (*curr_weight)[j] = (*curr_weight)[j]/gcd_tmp; |
---|
| 1660 | (*diff_weight)[j] = (*diff_weight)[j]/gcd_tmp; |
---|
| 1661 | } |
---|
| 1662 | #ifdef NEXT_VECTORS_CC |
---|
| 1663 | Print("\n// gcd of the weight vectors (current and target) = %d", gcd_tmp); |
---|
| 1664 | ivString(curr_weight, "new cw"); |
---|
| 1665 | ivString(diff_weight, "new dw"); |
---|
| 1666 | |
---|
| 1667 | PrintS("\n// t_zaehler: "); mpz_out_str( stdout, 10, t_zaehler); |
---|
| 1668 | PrintS(", t_nenner: "); mpz_out_str( stdout, 10, t_nenner); |
---|
[0001f9] | 1669 | #endif |
---|
[fc5095] | 1670 | |
---|
| 1671 | mpz_t ddf; mpz_init(ddf); |
---|
| 1672 | mpz_t dcw; mpz_init(dcw); |
---|
| 1673 | BOOLEAN isdwpos; |
---|
[0001f9] | 1674 | |
---|
[fc5095] | 1675 | // construct a new weight vector |
---|
[50cbdc] | 1676 | for (j=0; j<nRing; j++) |
---|
[0001f9] | 1677 | { |
---|
[fc5095] | 1678 | mpz_set_si(dcw, (*curr_weight)[j]); |
---|
| 1679 | mpz_mul(s_nenner, t_nenner, dcw); |
---|
[50cbdc] | 1680 | |
---|
[fc5095] | 1681 | if( (*diff_weight)[j]>0) |
---|
[0001f9] | 1682 | mpz_mul_ui(s_zaehler, t_zaehler, (*diff_weight)[j]); |
---|
[fc5095] | 1683 | else |
---|
| 1684 | { |
---|
[0001f9] | 1685 | mpz_mul_ui(s_zaehler, t_zaehler, -(*diff_weight)[j]); |
---|
| 1686 | mpz_neg(s_zaehler, s_zaehler); |
---|
[fc5095] | 1687 | } |
---|
[0001f9] | 1688 | |
---|
| 1689 | mpz_add(sntz, s_nenner, s_zaehler); |
---|
[fc5095] | 1690 | |
---|
| 1691 | mpz_init_set(vec[j], sntz); |
---|
| 1692 | |
---|
| 1693 | #ifdef NEXT_VECTORS_CC |
---|
| 1694 | Print("\n// j = %d ==> ", j); |
---|
| 1695 | PrintS("("); |
---|
[0001f9] | 1696 | mpz_out_str( stdout, 10, t_nenner); |
---|
| 1697 | Print(" * %d)", (*curr_weight)[j]); |
---|
| 1698 | Print(" + ("); mpz_out_str( stdout, 10, t_zaehler); |
---|
[fc5095] | 1699 | Print(" * %d) = ", (*diff_weight)[j]); |
---|
| 1700 | mpz_out_str( stdout, 10, s_nenner); |
---|
| 1701 | PrintS(" + "); |
---|
| 1702 | mpz_out_str( stdout, 10, s_zaehler); |
---|
[0001f9] | 1703 | PrintS(" = "); mpz_out_str( stdout, 10, sntz); |
---|
[fc5095] | 1704 | Print(" ==> vector[%d]: ", j); mpz_out_str(stdout, 10, vec[j]); |
---|
[0001f9] | 1705 | #endif |
---|
| 1706 | |
---|
| 1707 | if(j==0) |
---|
[fc5095] | 1708 | mpz_init_set(ggt, sntz); |
---|
[0001f9] | 1709 | else |
---|
[fc5095] | 1710 | if(mpz_cmp_si(ggt,1) != 0) |
---|
[0001f9] | 1711 | mpz_gcd(ggt, ggt, sntz); |
---|
| 1712 | |
---|
[50cbdc] | 1713 | } |
---|
[a9a7be] | 1714 | |
---|
[fc5095] | 1715 | #ifdef NEXT_VECTORS_CC |
---|
| 1716 | PrintS("\n// gcd of elements of the vector: "); |
---|
[0001f9] | 1717 | mpz_out_str( stdout, 10, ggt); |
---|
| 1718 | #endif |
---|
| 1719 | |
---|
[fc5095] | 1720 | mpz_t omega; |
---|
| 1721 | mpz_t sing_int; |
---|
| 1722 | mpz_init_set_ui(sing_int, 2147483647); |
---|
[0001f9] | 1723 | |
---|
| 1724 | /* construct a new weight vector and check whether vec[j] is overflow!! |
---|
[fc5095] | 1725 | i.e. vec[j] > 2^31. |
---|
| 1726 | If vec[j] doesn't overflow, define a weight vector |
---|
[0001f9] | 1727 | otherwise, report that overflow appears. |
---|
| 1728 | In the second case test whether the defined new vector correct is |
---|
[fc5095] | 1729 | plays an important rolle */ |
---|
| 1730 | |
---|
| 1731 | for (j=0; j<nRing; j++) |
---|
[a9a7be] | 1732 | { |
---|
[fc5095] | 1733 | if(mpz_cmp_si(ggt,1)==0) |
---|
| 1734 | (*diff_weight)[j] = mpz_get_si(vec[j]); |
---|
| 1735 | else |
---|
[50cbdc] | 1736 | { |
---|
[fc5095] | 1737 | mpz_divexact(vec[j], vec[j], ggt); |
---|
| 1738 | (*diff_weight)[j] = mpz_get_si(vec[j]); |
---|
[0001f9] | 1739 | } |
---|
[50cbdc] | 1740 | |
---|
[0001f9] | 1741 | if(mpz_cmp(vec[j], sing_int)>=0) |
---|
[fc5095] | 1742 | if(Overflow_Error == FALSE) |
---|
[50cbdc] | 1743 | { |
---|
[0001f9] | 1744 | Overflow_Error = TRUE; |
---|
| 1745 | |
---|
| 1746 | PrintS("\n// ** OVERFLOW in \"NextVector\": "); |
---|
| 1747 | mpz_out_str( stdout, 10, vec[j]); |
---|
| 1748 | PrintS(" is greater than 2147483647 (max. integer representation)"); |
---|
| 1749 | Print("\n// So vector[%d] := %d is wrong!!\n",j+1, (*diff_weight)[j]); |
---|
| 1750 | } |
---|
| 1751 | } |
---|
| 1752 | |
---|
[fc5095] | 1753 | FINISH: |
---|
[50cbdc] | 1754 | |
---|
[fc5095] | 1755 | mpz_clear(t_zaehler); |
---|
| 1756 | mpz_clear(t_nenner); |
---|
| 1757 | mpz_clear(sntz); |
---|
| 1758 | mpz_clear(sztn); |
---|
| 1759 | mpz_clear(temp); |
---|
| 1760 | mpz_clear(MwWd); |
---|
| 1761 | mpz_clear(deg_w0_p1); |
---|
| 1762 | mpz_clear(deg_d0_p1); |
---|
[0001f9] | 1763 | omFree(vec); |
---|
[fc5095] | 1764 | |
---|
| 1765 | if(Overflow_Error == FALSE) |
---|
| 1766 | Overflow_Error = nError; |
---|
| 1767 | |
---|
| 1768 | return diff_weight; |
---|
[50cbdc] | 1769 | } |
---|
[a9a7be] | 1770 | |
---|
[0001f9] | 1771 | /* |
---|
| 1772 | compute an intermediate weight vector from iva to ivb w.r.t. |
---|
[fc5095] | 1773 | the reduced Groebner basis G. |
---|
[0001f9] | 1774 | Return NULL, if it is equal to iva or iva = avb. |
---|
[fc5095] | 1775 | */ |
---|
| 1776 | intvec* MkInterRedNextWeight(intvec* iva, intvec* ivb, ideal G) |
---|
[50cbdc] | 1777 | { |
---|
[fc5095] | 1778 | intvec* tmp = new intvec(iva->length()); |
---|
| 1779 | intvec* result; |
---|
[a3bc95e] | 1780 | |
---|
[fc5095] | 1781 | if(G == NULL) |
---|
| 1782 | return tmp; |
---|
[50cbdc] | 1783 | |
---|
[fc5095] | 1784 | if(MivComp(iva, ivb) == 1) |
---|
| 1785 | return tmp; |
---|
[a9a7be] | 1786 | |
---|
[fc5095] | 1787 | result = MwalkNextWeightCC(iva, ivb, G); |
---|
[50cbdc] | 1788 | |
---|
[fc5095] | 1789 | if(MivComp(result, iva) == 1) |
---|
[a9a7be] | 1790 | { |
---|
[fc5095] | 1791 | delete result; |
---|
| 1792 | return tmp; |
---|
[a9a7be] | 1793 | } |
---|
[0001f9] | 1794 | |
---|
[fc5095] | 1795 | delete tmp; |
---|
[0001f9] | 1796 | return result; |
---|
[50cbdc] | 1797 | } |
---|
[a9a7be] | 1798 | |
---|
[fc5095] | 1799 | /* 01.11.01 */ |
---|
| 1800 | /* define and execute a new ring which order is (a(va),lp,C) */ |
---|
| 1801 | static void VMrDefault(intvec* va) |
---|
[50cbdc] | 1802 | { |
---|
[fc5095] | 1803 | |
---|
[993ae2] | 1804 | if ((currRing->ppNoether)!=NULL) |
---|
| 1805 | pDelete(&(currRing->ppNoether)); |
---|
[0001f9] | 1806 | |
---|
| 1807 | if (((sLastPrinted.rtyp>BEGIN_RING) && (sLastPrinted.rtyp<END_RING)) || |
---|
| 1808 | ((sLastPrinted.rtyp==LIST_CMD)&&(lRingDependend((lists)sLastPrinted.data)))) |
---|
[a9a7be] | 1809 | |
---|
[50cbdc] | 1810 | { |
---|
[0001f9] | 1811 | sLastPrinted.CleanUp(); |
---|
| 1812 | } |
---|
[fc5095] | 1813 | |
---|
[ed8227] | 1814 | ring r = (ring) omAlloc0Bin(sip_sring_bin); |
---|
[fc5095] | 1815 | int i, nv = currRing->N; |
---|
| 1816 | |
---|
[e94918] | 1817 | r->cf->ch = rChar (currRing); |
---|
[fc5095] | 1818 | r->N = currRing->N; |
---|
| 1819 | int nb = rBlocks(currRing) + 1;//31.10.01 (+1) |
---|
| 1820 | |
---|
| 1821 | /*names*/ |
---|
| 1822 | char* Q; //30.10.01 to avoid the corrupted memory, NOT change!! |
---|
| 1823 | r->names = (char **) omAlloc0(nv * sizeof(char_ptr)); |
---|
| 1824 | for(i=0; i<nv; i++) |
---|
| 1825 | { |
---|
| 1826 | Q = currRing->names[i]; |
---|
| 1827 | r->names[i] = omStrDup(Q); |
---|
[50cbdc] | 1828 | } |
---|
[fc5095] | 1829 | |
---|
| 1830 | intvec* iva = va; //why? |
---|
| 1831 | /*weights: entries for 3 blocks: NULL Made:???*/ |
---|
| 1832 | r->wvhdl = (int **)omAlloc0(nb * sizeof(int_ptr)); |
---|
| 1833 | r->wvhdl[0] = (int*) omAlloc(nv*sizeof(int)); |
---|
| 1834 | for(i=0; i<nv; i++) |
---|
| 1835 | r->wvhdl[0][i] = (*iva)[i]; |
---|
| 1836 | |
---|
| 1837 | /* order: a,lp,C,0 */ |
---|
| 1838 | r->order = (int *) omAlloc(nb * sizeof(int *)); |
---|
| 1839 | r->block0 = (int *)omAlloc0(nb * sizeof(int *)); |
---|
| 1840 | r->block1 = (int *)omAlloc0(nb * sizeof(int *)); |
---|
| 1841 | |
---|
| 1842 | /* ringorder a for the first block: var 1..nv */ |
---|
[0001f9] | 1843 | r->order[0] = ringorder_a; |
---|
[fc5095] | 1844 | r->block0[0] = 1; |
---|
| 1845 | r->block1[0] = nv; |
---|
[0001f9] | 1846 | |
---|
[fc5095] | 1847 | /* ringorder lp for the second block: var 1..nv */ |
---|
| 1848 | r->order[1] = ringorder_lp; |
---|
| 1849 | r->block0[1] = 1; |
---|
| 1850 | r->block1[1] = nv; |
---|
[0001f9] | 1851 | |
---|
| 1852 | /* ringorder C for the third block */ |
---|
| 1853 | // it is very important within "idLift", |
---|
[fc5095] | 1854 | // especially, by ring syz_ring=rCurrRingAssure_SyzComp(); |
---|
| 1855 | // therefore, nb must be (nBlocks(currRing) + 1) |
---|
[0001f9] | 1856 | r->order[2] = ringorder_C; |
---|
[fc5095] | 1857 | |
---|
| 1858 | /* the last block: everything is 0 */ |
---|
| 1859 | r->order[3] = 0; |
---|
| 1860 | |
---|
| 1861 | /*polynomial ring*/ |
---|
| 1862 | r->OrdSgn = 1; |
---|
| 1863 | |
---|
| 1864 | /* complete ring intializations */ |
---|
| 1865 | rComplete(r); |
---|
[0001f9] | 1866 | |
---|
[fc5095] | 1867 | rChangeCurrRing(r); |
---|
[a9a7be] | 1868 | } |
---|
| 1869 | |
---|
[fc5095] | 1870 | /* 03.11.01 */ |
---|
| 1871 | /* define and execute a new ring which order is a lexicographic order */ |
---|
| 1872 | static void VMrDefaultlp(void) |
---|
[50cbdc] | 1873 | { |
---|
[0001f9] | 1874 | |
---|
[993ae2] | 1875 | if ((currRing->ppNoether)!=NULL) |
---|
| 1876 | pDelete(&(currRing->ppNoether)); |
---|
[0001f9] | 1877 | |
---|
| 1878 | if (((sLastPrinted.rtyp>BEGIN_RING) && (sLastPrinted.rtyp<END_RING)) || |
---|
| 1879 | ((sLastPrinted.rtyp==LIST_CMD)&&(lRingDependend((lists)sLastPrinted.data)))) |
---|
[fc5095] | 1880 | |
---|
| 1881 | { |
---|
[0001f9] | 1882 | sLastPrinted.CleanUp(); |
---|
| 1883 | } |
---|
[fc5095] | 1884 | |
---|
[ed8227] | 1885 | ring r = (ring) omAlloc0Bin(sip_sring_bin); |
---|
[fc5095] | 1886 | int i, nv = currRing->N; |
---|
[a9a7be] | 1887 | |
---|
[e94918] | 1888 | r->cf->ch = rChar (currRing); |
---|
[fc5095] | 1889 | r->N = currRing->N; |
---|
| 1890 | int nb = rBlocks(currRing) + 1;//31.10.01 (+1) |
---|
[50cbdc] | 1891 | |
---|
[fc5095] | 1892 | /*names*/ |
---|
| 1893 | char* Q; //30.10.01 to avoid the corrupted memory, NOT change!! |
---|
| 1894 | r->names = (char **) omAlloc0(nv * sizeof(char_ptr)); |
---|
| 1895 | for(i=0; i<nv; i++) |
---|
[50cbdc] | 1896 | { |
---|
[fc5095] | 1897 | Q = currRing->names[i]; |
---|
| 1898 | r->names[i] = omStrDup(Q); |
---|
| 1899 | } |
---|
[50cbdc] | 1900 | |
---|
[fc5095] | 1901 | /*weights: entries for 3 blocks: NULL Made:???*/ |
---|
[0001f9] | 1902 | |
---|
[fc5095] | 1903 | r->wvhdl = (int **)omAlloc0(nb * sizeof(int_ptr)); |
---|
[50cbdc] | 1904 | |
---|
[fc5095] | 1905 | /* order: lp,C,0 */ |
---|
| 1906 | r->order = (int *) omAlloc(nb * sizeof(int *)); |
---|
| 1907 | r->block0 = (int *)omAlloc0(nb * sizeof(int *)); |
---|
| 1908 | r->block1 = (int *)omAlloc0(nb * sizeof(int *)); |
---|
[50cbdc] | 1909 | |
---|
[fc5095] | 1910 | /* ringorder lp for the first block: var 1..nv */ |
---|
| 1911 | r->order[0] = ringorder_lp; |
---|
| 1912 | r->block0[0] = 1; |
---|
| 1913 | r->block1[0] = nv; |
---|
[0001f9] | 1914 | |
---|
| 1915 | /* ringorder C for the second block */ |
---|
| 1916 | r->order[1] = ringorder_C; |
---|
[50cbdc] | 1917 | |
---|
[fc5095] | 1918 | /* the last block: everything is 0 */ |
---|
| 1919 | r->order[2] = 0; |
---|
[a9a7be] | 1920 | |
---|
[fc5095] | 1921 | /*polynomial ring*/ |
---|
| 1922 | r->OrdSgn = 1; |
---|
[a9a7be] | 1923 | |
---|
[fc5095] | 1924 | /* complete ring intializations */ |
---|
| 1925 | rComplete(r); |
---|
[0001f9] | 1926 | |
---|
[fc5095] | 1927 | rChangeCurrRing(r); |
---|
[50cbdc] | 1928 | } |
---|
| 1929 | |
---|
[fc5095] | 1930 | |
---|
| 1931 | /* define a ring with parameters und change to it */ |
---|
| 1932 | /* DefRingPar and DefRingParlp corrupt still memory */ |
---|
| 1933 | static void DefRingPar(intvec* va) |
---|
[50cbdc] | 1934 | { |
---|
[fc5095] | 1935 | int i, nv = currRing->N; |
---|
| 1936 | int nb = rBlocks(currRing) + 1; |
---|
[0001f9] | 1937 | |
---|
[eaf66f] | 1938 | ring res=(ring)omAllocBin(sip_sring_bin); |
---|
[0001f9] | 1939 | |
---|
[f97705] | 1940 | memcpy(res,currRing,sizeof(ip_sring)); |
---|
[0001f9] | 1941 | |
---|
[fc5095] | 1942 | res->VarOffset = NULL; |
---|
| 1943 | res->ref=0; |
---|
[e94918] | 1944 | if (currRing->cf->extRing!=NULL) |
---|
| 1945 | currRing->cf->extRing->ref++; |
---|
[fc5095] | 1946 | |
---|
[e94918] | 1947 | if (rParameter (currRing)!=NULL) |
---|
[a9a7be] | 1948 | { |
---|
[e94918] | 1949 | res->cf->extRing->minideal->m[0]=p_Copy(currRing->cf->extRing->minideal->m[0],currRing->cf->extRing); |
---|
[fc5095] | 1950 | int l=rPar(currRing); |
---|
[e94918] | 1951 | res->cf->extRing->names=(char **)omAlloc(l*sizeof(char_ptr)); |
---|
[0001f9] | 1952 | |
---|
[fc5095] | 1953 | for(i=l-1;i>=0;i--) |
---|
[e94918] | 1954 | rParameter (res)[i]=omStrDup(rParameter (currRing)[i]); |
---|
[fc5095] | 1955 | } |
---|
| 1956 | |
---|
[0001f9] | 1957 | intvec* iva = va; |
---|
[fc5095] | 1958 | |
---|
| 1959 | /*weights: entries for 3 blocks: NULL Made:???*/ |
---|
| 1960 | res->wvhdl = (int **)omAlloc0(nb * sizeof(int_ptr)); |
---|
| 1961 | res->wvhdl[0] = (int*) omAlloc(nv*sizeof(int)); |
---|
| 1962 | for(i=0; i<nv; i++) |
---|
| 1963 | res->wvhdl[0][i] = (*iva)[i]; |
---|
| 1964 | |
---|
| 1965 | /* order: a,lp,C,0 */ |
---|
| 1966 | res->order = (int *) omAlloc(nb * sizeof(int *)); |
---|
| 1967 | res->block0 = (int *)omAlloc0(nb * sizeof(int *)); |
---|
| 1968 | res->block1 = (int *)omAlloc0(nb * sizeof(int *)); |
---|
[0001f9] | 1969 | |
---|
[fc5095] | 1970 | /* ringorder a for the first block: var 1..nv */ |
---|
[0001f9] | 1971 | res->order[0] = ringorder_a; |
---|
[fc5095] | 1972 | res->block0[0] = 1; |
---|
| 1973 | res->block1[0] = nv; |
---|
[0001f9] | 1974 | |
---|
[fc5095] | 1975 | /* ringorder lp for the second block: var 1..nv */ |
---|
| 1976 | res->order[1] = ringorder_lp; |
---|
| 1977 | res->block0[1] = 1; |
---|
| 1978 | res->block1[1] = nv; |
---|
[0001f9] | 1979 | |
---|
| 1980 | /* ringorder C for the third block */ |
---|
| 1981 | // it is very important within "idLift", |
---|
[fc5095] | 1982 | // especially, by ring syz_ring=rCurrRingAssure_SyzComp(); |
---|
| 1983 | // therefore, nb must be (nBlocks(currRing) + 1) |
---|
[0001f9] | 1984 | res->order[2] = ringorder_C; |
---|
[fc5095] | 1985 | |
---|
| 1986 | /* the last block: everything is 0 */ |
---|
| 1987 | res->order[3] = 0; |
---|
| 1988 | |
---|
| 1989 | /*polynomial ring*/ |
---|
| 1990 | res->OrdSgn = 1; |
---|
| 1991 | |
---|
[0001f9] | 1992 | |
---|
[fc5095] | 1993 | res->names = (char **)omAlloc0(nv * sizeof(char_ptr)); |
---|
| 1994 | for (i=nv-1; i>=0; i--) |
---|
| 1995 | res->names[i] = omStrDup(currRing->names[i]); |
---|
| 1996 | |
---|
| 1997 | /* complete ring intializations */ |
---|
| 1998 | rComplete(res); |
---|
[0001f9] | 1999 | |
---|
| 2000 | |
---|
[fc5095] | 2001 | // clean up history |
---|
| 2002 | if (sLastPrinted.RingDependend()) |
---|
| 2003 | { |
---|
| 2004 | sLastPrinted.CleanUp(); |
---|
| 2005 | } |
---|
[0001f9] | 2006 | |
---|
[fc5095] | 2007 | |
---|
| 2008 | /* execute the created ring */ |
---|
| 2009 | rChangeCurrRing(res); |
---|
| 2010 | } |
---|
| 2011 | |
---|
| 2012 | |
---|
| 2013 | static void DefRingParlp(void) |
---|
| 2014 | { |
---|
| 2015 | int i, nv = currRing->N; |
---|
| 2016 | |
---|
[eaf66f] | 2017 | ring r=(ring)omAllocBin(sip_sring_bin); |
---|
[0001f9] | 2018 | |
---|
[f97705] | 2019 | memcpy(r,currRing,sizeof(ip_sring)); |
---|
[0001f9] | 2020 | |
---|
[fc5095] | 2021 | r->VarOffset = NULL; |
---|
| 2022 | r->ref=0; |
---|
[e94918] | 2023 | if (currRing->cf->extRing!=NULL) |
---|
| 2024 | currRing->cf->extRing->ref++; |
---|
[fc5095] | 2025 | |
---|
[e94918] | 2026 | if (rParameter (currRing)!=NULL) |
---|
[fc5095] | 2027 | { |
---|
[e94918] | 2028 | r->cf->extRing->minideal->m[0]=p_Copy(currRing->cf->extRing->minideal->m[0], currRing->cf->extRing); |
---|
[fc5095] | 2029 | int l=rPar(currRing); |
---|
[e94918] | 2030 | r->cf->extRing->names=(char **)omAlloc(l*sizeof(char_ptr)); |
---|
[0001f9] | 2031 | |
---|
[fc5095] | 2032 | for(i=l-1;i>=0;i--) |
---|
[e94918] | 2033 | rParameter(r)[i]=omStrDup(rParameter (currRing)[i]); |
---|
[fc5095] | 2034 | } |
---|
| 2035 | |
---|
| 2036 | |
---|
[e94918] | 2037 | r->cf->ch = rChar (currRing); |
---|
[fc5095] | 2038 | r->N = currRing->N; |
---|
| 2039 | int nb = rBlocks(currRing) + 1;//31.10.01 (+1) |
---|
| 2040 | |
---|
| 2041 | /*names*/ |
---|
| 2042 | char* Q; |
---|
| 2043 | r->names = (char **) omAlloc0(nv * sizeof(char_ptr)); |
---|
| 2044 | for(i=nv-1; i>=0; i--) |
---|
| 2045 | { |
---|
| 2046 | Q = currRing->names[i]; |
---|
| 2047 | r->names[i] = omStrDup(Q); |
---|
| 2048 | } |
---|
| 2049 | |
---|
| 2050 | /*weights: entries for 3 blocks: NULL Made:???*/ |
---|
[0001f9] | 2051 | |
---|
[fc5095] | 2052 | r->wvhdl = (int **)omAlloc0(nb * sizeof(int_ptr)); |
---|
| 2053 | |
---|
| 2054 | /* order: lp,C,0 */ |
---|
| 2055 | r->order = (int *) omAlloc(nb * sizeof(int *)); |
---|
| 2056 | r->block0 = (int *)omAlloc0(nb * sizeof(int *)); |
---|
| 2057 | r->block1 = (int *)omAlloc0(nb * sizeof(int *)); |
---|
| 2058 | |
---|
| 2059 | /* ringorder lp for the first block: var 1..nv */ |
---|
| 2060 | r->order[0] = ringorder_lp; |
---|
| 2061 | r->block0[0] = 1; |
---|
| 2062 | r->block1[0] = nv; |
---|
[0001f9] | 2063 | |
---|
| 2064 | /* ringorder C for the second block */ |
---|
| 2065 | r->order[1] = ringorder_C; |
---|
[fc5095] | 2066 | |
---|
| 2067 | /* the last block: everything is 0 */ |
---|
| 2068 | r->order[2] = 0; |
---|
| 2069 | |
---|
| 2070 | /*polynomial ring*/ |
---|
| 2071 | r->OrdSgn = 1; |
---|
| 2072 | |
---|
| 2073 | |
---|
[e94918] | 2074 | if (rParameter(currRing)!=NULL) |
---|
[fc5095] | 2075 | { |
---|
[e94918] | 2076 | r->cf->extRing->minideal->m[0]=p_Copy(currRing->cf->extRing->minideal->m[0], currRing->cf->extRing); |
---|
[fc5095] | 2077 | int l=rPar(currRing); |
---|
[e94918] | 2078 | r->cf->extRing->names=(char **)omAlloc(l*sizeof(char_ptr)); |
---|
[0001f9] | 2079 | |
---|
[fc5095] | 2080 | for(i=l-1;i>=0;i--) |
---|
[e94918] | 2081 | rParameter(r)[i]=omStrDup(rParameter(currRing)[i]); |
---|
[fc5095] | 2082 | } |
---|
| 2083 | |
---|
| 2084 | /* complete ring intializations */ |
---|
| 2085 | rComplete(r); |
---|
[0001f9] | 2086 | |
---|
[fc5095] | 2087 | // clean up history |
---|
| 2088 | if (sLastPrinted.RingDependend()) |
---|
| 2089 | { |
---|
| 2090 | sLastPrinted.CleanUp(); |
---|
| 2091 | } |
---|
| 2092 | |
---|
| 2093 | /* execute the created ring */ |
---|
| 2094 | rChangeCurrRing(r); |
---|
| 2095 | } |
---|
| 2096 | |
---|
| 2097 | /* check wheather one or more components of a vector are zero */ |
---|
| 2098 | static int isNolVector(intvec* hilb) |
---|
| 2099 | { |
---|
| 2100 | int i; |
---|
| 2101 | for(i=hilb->length()-1; i>=0; i--) |
---|
| 2102 | if((* hilb)[i]==0) |
---|
| 2103 | return 1; |
---|
[0001f9] | 2104 | |
---|
[fc5095] | 2105 | return 0; |
---|
| 2106 | } |
---|
| 2107 | |
---|
| 2108 | |
---|
| 2109 | /****************************** Februar 2002 **************************** |
---|
| 2110 | * G is a Groebner basis w.r.t. (a(curr_weight),lp) and * |
---|
| 2111 | * we compute a GB of <G> w.r.t. the lex. order by the perturbation walk * |
---|
| 2112 | * its perturbation degree is tp_deg * |
---|
| 2113 | * We call the following subfunction LastGB, if * |
---|
| 2114 | * the computed intermediate weight vector or * |
---|
| 2115 | * the perturbed target weight vector * |
---|
| 2116 | * does NOT in the correct cone. * |
---|
| 2117 | **************************************************************************/ |
---|
| 2118 | |
---|
[0001f9] | 2119 | static ideal LastGB(ideal G, intvec* curr_weight,int tp_deg) |
---|
[fc5095] | 2120 | { |
---|
| 2121 | BOOLEAN nError = Overflow_Error; |
---|
| 2122 | Overflow_Error = FALSE; |
---|
| 2123 | |
---|
| 2124 | int i, nV = currRing->N; |
---|
| 2125 | int nwalk=0, endwalks=0, nnwinC=1; |
---|
| 2126 | int nlast = 0; |
---|
| 2127 | ideal Gomega, M, F, Gomega1, Gomega2, M1,F1,result,ssG; |
---|
| 2128 | ring newRing, oldRing, TargetRing; |
---|
| 2129 | intvec* iv_M_lp; |
---|
| 2130 | intvec* target_weight; |
---|
| 2131 | intvec* iv_lp = Mivlp(nV); //define (1,0,...,0) |
---|
[0001f9] | 2132 | intvec* pert_target_vector; |
---|
[fc5095] | 2133 | intvec* ivNull = new intvec(nV); |
---|
| 2134 | intvec* extra_curr_weight = new intvec(nV); |
---|
| 2135 | intvec* hilb_func; |
---|
| 2136 | intvec* next_weight; |
---|
| 2137 | |
---|
| 2138 | /* to avoid (1,0,...,0) as the target vector */ |
---|
| 2139 | intvec* last_omega = new intvec(nV); |
---|
| 2140 | for(i=nV-1; i>0; i--) |
---|
| 2141 | (*last_omega)[i] = 1; |
---|
| 2142 | (*last_omega)[0] = 10000; |
---|
| 2143 | |
---|
| 2144 | ring EXXRing = currRing; |
---|
| 2145 | |
---|
| 2146 | /* compute a pertubed weight vector of the target weight vector */ |
---|
| 2147 | if(tp_deg > 1 && tp_deg <= nV) |
---|
| 2148 | { |
---|
| 2149 | //..25.03.03 VMrDefaultlp();// VMrDefault(target_weight); |
---|
[e94918] | 2150 | if (rParameter (currRing) != NULL) |
---|
[fc5095] | 2151 | DefRingParlp(); |
---|
| 2152 | else |
---|
| 2153 | VMrDefaultlp(); |
---|
| 2154 | |
---|
| 2155 | TargetRing = currRing; |
---|
[e94918] | 2156 | ssG = idrMoveR(G,EXXRing,currRing); |
---|
[fc5095] | 2157 | iv_M_lp = MivMatrixOrderlp(nV); |
---|
| 2158 | //target_weight = MPertVectorslp(ssG, iv_M_lp, tp_deg); |
---|
| 2159 | target_weight = MPertVectors(ssG, iv_M_lp, tp_deg); |
---|
| 2160 | delete iv_M_lp; |
---|
| 2161 | pert_target_vector = target_weight; |
---|
| 2162 | |
---|
| 2163 | rChangeCurrRing(EXXRing); |
---|
[e94918] | 2164 | G = idrMoveR(ssG, TargetRing,currRing); |
---|
[fc5095] | 2165 | } |
---|
| 2166 | else |
---|
| 2167 | target_weight = Mivlp(nV); |
---|
| 2168 | |
---|
| 2169 | //Print("\n// ring r%d_%d = %s;\n", tp_deg, nwalk, rString(currRing)); |
---|
| 2170 | |
---|
| 2171 | while(1) |
---|
[0001f9] | 2172 | { |
---|
[fc5095] | 2173 | nwalk++; |
---|
| 2174 | nstep++; |
---|
| 2175 | to=clock(); |
---|
| 2176 | /* compute a next weight vector */ |
---|
| 2177 | next_weight = MkInterRedNextWeight(curr_weight,target_weight, G); |
---|
| 2178 | xtnw=xtnw+clock()-to; |
---|
[0001f9] | 2179 | #ifdef PRINT_VECTORS |
---|
[fc5095] | 2180 | MivString(curr_weight, target_weight, next_weight); |
---|
| 2181 | #endif |
---|
| 2182 | |
---|
| 2183 | if(Overflow_Error == TRUE){ |
---|
| 2184 | newRing = currRing; |
---|
| 2185 | nnwinC = 0; |
---|
| 2186 | if(tp_deg == 1) |
---|
| 2187 | nlast = 1; |
---|
| 2188 | delete next_weight; |
---|
[0001f9] | 2189 | |
---|
[fc5095] | 2190 | //idElements(G, "G"); |
---|
| 2191 | //Print("\n// ring r%d_%d = %s;\n", tp_deg, nwalk, rString(currRing)); |
---|
[0001f9] | 2192 | |
---|
[fc5095] | 2193 | break; |
---|
| 2194 | } |
---|
| 2195 | |
---|
| 2196 | if(MivComp(next_weight, ivNull) == 1){ |
---|
| 2197 | //Print("\n// ring r%d_%d = %s;\n", tp_deg, nwalk, rString(currRing)); |
---|
| 2198 | newRing = currRing; |
---|
| 2199 | delete next_weight; |
---|
| 2200 | break; |
---|
| 2201 | } |
---|
| 2202 | |
---|
| 2203 | if(MivComp(next_weight, target_weight) == 1) |
---|
| 2204 | endwalks = 1; |
---|
| 2205 | |
---|
| 2206 | for(i=nV-1; i>=0; i--) |
---|
| 2207 | (*extra_curr_weight)[i] = (*curr_weight)[i]; |
---|
| 2208 | |
---|
| 2209 | /* 06.11.01 NOT Changed */ |
---|
| 2210 | for(i=nV-1; i>=0; i--) |
---|
| 2211 | (*curr_weight)[i] = (*next_weight)[i]; |
---|
| 2212 | |
---|
| 2213 | oldRing = currRing; |
---|
| 2214 | to=clock(); |
---|
| 2215 | /* compute an initial form ideal of <G> w.r.t. "curr_vector" */ |
---|
| 2216 | Gomega = MwalkInitialForm(G, curr_weight); |
---|
| 2217 | xtif=xtif+clock()-to; |
---|
| 2218 | |
---|
[0001f9] | 2219 | #ifdef ENDWALKS |
---|
| 2220 | if(endwalks == 1){ |
---|
| 2221 | Print("\n// ring r%d_%d = %s;\n", tp_deg, nwalk, rString(currRing)); |
---|
| 2222 | idElements(Gomega, "Gw"); |
---|
| 2223 | headidString(Gomega, "Gw"); |
---|
[fc5095] | 2224 | } |
---|
[0001f9] | 2225 | #endif |
---|
| 2226 | |
---|
[fc5095] | 2227 | #ifndef BUCHBERGER_ALG |
---|
| 2228 | if(isNolVector(curr_weight) == 0) |
---|
| 2229 | hilb_func = hFirstSeries(Gomega,NULL,NULL,curr_weight,currRing); |
---|
| 2230 | else |
---|
| 2231 | hilb_func = hFirstSeries(Gomega,NULL,NULL,last_omega,currRing); |
---|
| 2232 | #endif // BUCHBERGER_ALG |
---|
[0001f9] | 2233 | |
---|
[fc5095] | 2234 | /* define a new ring that its ordering is "(a(curr_weight),lp) */ |
---|
| 2235 | //..25.03.03 VMrDefault(curr_weight); |
---|
[e94918] | 2236 | if (rParameter (currRing) != NULL) |
---|
[fc5095] | 2237 | DefRingPar(curr_weight); |
---|
| 2238 | else |
---|
| 2239 | VMrDefault(curr_weight); |
---|
| 2240 | |
---|
[0001f9] | 2241 | newRing = currRing; |
---|
[e94918] | 2242 | Gomega1 = idrMoveR(Gomega, oldRing,currRing); |
---|
[fc5095] | 2243 | |
---|
| 2244 | to=clock(); |
---|
| 2245 | /* compute a reduced Groebner basis of <Gomega> w.r.t. "newRing" */ |
---|
| 2246 | #ifdef BUCHBERGER_ALG |
---|
| 2247 | M = MstdhomCC(Gomega1); |
---|
| 2248 | #else |
---|
| 2249 | M=kStd(Gomega1,NULL,isHomog,NULL,hilb_func,0,NULL,curr_weight); |
---|
[0001f9] | 2250 | delete hilb_func; |
---|
[fc5095] | 2251 | #endif // BUCHBERGER_ALG |
---|
| 2252 | xtstd=xtstd+clock()-to; |
---|
[0001f9] | 2253 | /* change the ring to oldRing */ |
---|
[fc5095] | 2254 | rChangeCurrRing(oldRing); |
---|
[e94918] | 2255 | M1 = idrMoveR(M, newRing,currRing); |
---|
| 2256 | Gomega2 = idrMoveR(Gomega1, newRing,currRing); |
---|
[0001f9] | 2257 | |
---|
[fc5095] | 2258 | to=clock(); |
---|
| 2259 | /* compute a reduced Groebner basis of <G> w.r.t. "newRing" */ |
---|
| 2260 | F = MLifttwoIdeal(Gomega2, M1, G); |
---|
| 2261 | xtlift=xtlift+clock()-to; |
---|
| 2262 | |
---|
[0001f9] | 2263 | idDelete(&M1); |
---|
[fc5095] | 2264 | idDelete(&G); |
---|
| 2265 | |
---|
[0001f9] | 2266 | /* change the ring to newRing */ |
---|
[fc5095] | 2267 | rChangeCurrRing(newRing); |
---|
[e94918] | 2268 | F1 = idrMoveR(F, oldRing,currRing); |
---|
[fc5095] | 2269 | |
---|
| 2270 | to=clock(); |
---|
[0001f9] | 2271 | /* reduce the Groebner basis <G> w.r.t. new ring */ |
---|
[fc5095] | 2272 | G = kInterRedCC(F1, NULL); |
---|
| 2273 | xtred=xtred+clock()-to; |
---|
| 2274 | idDelete(&F1); |
---|
[0001f9] | 2275 | |
---|
[fc5095] | 2276 | if(endwalks == 1){ |
---|
| 2277 | //Print("\n// ring r%d_%d = %s;\n", tp_deg, nwalk, rString(currRing)); |
---|
| 2278 | break; |
---|
| 2279 | } |
---|
| 2280 | |
---|
| 2281 | delete next_weight; |
---|
| 2282 | }//while |
---|
| 2283 | |
---|
| 2284 | delete ivNull; |
---|
| 2285 | |
---|
| 2286 | if(tp_deg != 1) |
---|
| 2287 | { |
---|
| 2288 | //..25.03.03 VMrDefaultlp();//define and execute the ring "lp" |
---|
[e94918] | 2289 | if (rParameter (currRing) != NULL) |
---|
[fc5095] | 2290 | DefRingParlp(); |
---|
| 2291 | else |
---|
| 2292 | VMrDefaultlp(); |
---|
| 2293 | |
---|
[e94918] | 2294 | F1 = idrMoveR(G, newRing,currRing); |
---|
[0001f9] | 2295 | |
---|
[fc5095] | 2296 | if(nnwinC == 0 || test_w_in_ConeCC(F1, pert_target_vector) != 1) |
---|
[50cbdc] | 2297 | { |
---|
[fc5095] | 2298 | oldRing = currRing; |
---|
| 2299 | rChangeCurrRing(newRing); |
---|
[e94918] | 2300 | G = idrMoveR(F1, oldRing,currRing); |
---|
[0001f9] | 2301 | Print("\n// takes %d steps and calls the recursion of level %d:", |
---|
| 2302 | nwalk, tp_deg-1); |
---|
[fc5095] | 2303 | |
---|
| 2304 | F1 = LastGB(G,curr_weight, tp_deg-1); |
---|
[50cbdc] | 2305 | } |
---|
[0001f9] | 2306 | |
---|
[fc5095] | 2307 | TargetRing = currRing; |
---|
| 2308 | rChangeCurrRing(EXXRing); |
---|
[e94918] | 2309 | result = idrMoveR(F1, TargetRing,currRing); |
---|
[a9a7be] | 2310 | } |
---|
[fc5095] | 2311 | else |
---|
| 2312 | { |
---|
| 2313 | if(nlast == 1) |
---|
[0001f9] | 2314 | { |
---|
[fc5095] | 2315 | //OMEGA_OVERFLOW_LASTGB: |
---|
| 2316 | /* |
---|
[0001f9] | 2317 | if(MivSame(curr_weight, iv_lp) == 1) |
---|
[e94918] | 2318 | if (rParameter(currRing) != NULL) |
---|
[0001f9] | 2319 | DefRingParlp(); |
---|
| 2320 | else |
---|
[fc5095] | 2321 | VMrDefaultlp(); |
---|
[0001f9] | 2322 | else |
---|
[e94918] | 2323 | if (rParameter(currRing) != NULL) |
---|
[0001f9] | 2324 | DefRingPar(curr_weight); |
---|
| 2325 | else |
---|
| 2326 | VMrDefault(curr_weight); |
---|
[fc5095] | 2327 | */ |
---|
[0001f9] | 2328 | |
---|
| 2329 | //..25.03.03 VMrDefaultlp();//define and execute the ring "lp" |
---|
[e94918] | 2330 | if (rParameter (currRing) != NULL) |
---|
[0001f9] | 2331 | DefRingParlp(); |
---|
| 2332 | else |
---|
| 2333 | VMrDefaultlp(); |
---|
| 2334 | |
---|
| 2335 | |
---|
[e94918] | 2336 | F1 = idrMoveR(G, newRing,currRing); |
---|
[fc5095] | 2337 | //Print("\n// Apply \"std\" in ring r%d_%d = %s;\n", tp_deg, nwalk, rString(currRing)); |
---|
| 2338 | |
---|
| 2339 | G = MstdCC(F1); |
---|
| 2340 | idDelete(&F1); |
---|
| 2341 | newRing = currRing; |
---|
| 2342 | } |
---|
| 2343 | |
---|
| 2344 | rChangeCurrRing(EXXRing); |
---|
[e94918] | 2345 | result = idrMoveR(G, newRing,currRing); |
---|
[0001f9] | 2346 | } |
---|
[fc5095] | 2347 | delete target_weight; |
---|
| 2348 | delete last_omega; |
---|
| 2349 | delete iv_lp; |
---|
| 2350 | |
---|
| 2351 | if(Overflow_Error == FALSE) |
---|
| 2352 | Overflow_Error = nError; |
---|
| 2353 | |
---|
[0001f9] | 2354 | return(result); |
---|
[50cbdc] | 2355 | } |
---|
[a9a7be] | 2356 | |
---|
[50cbdc] | 2357 | |
---|
[fc5095] | 2358 | /* check whether a polynomial of G has least 3 monomials */ |
---|
| 2359 | static int lengthpoly(ideal G) |
---|
[a3bc95e] | 2360 | { |
---|
[fc5095] | 2361 | int i; |
---|
| 2362 | for(i=IDELEMS(G)-1; i>=0; i--) |
---|
[0001f9] | 2363 | #if 0 |
---|
[fc5095] | 2364 | if(pLength(G->m[i])>2) |
---|
| 2365 | return 1; |
---|
| 2366 | #else |
---|
| 2367 | if((G->m[i]!=NULL) /* len >=0 */ |
---|
| 2368 | && (G->m[i]->next!=NULL) /* len >=1 */ |
---|
| 2369 | && (G->m[i]->next->next!=NULL) /* len >=2 */ |
---|
| 2370 | && (G->m[i]->next->next->next!=NULL) /* len >=3 */ |
---|
| 2371 | //&& (G->m[i]->next->next->next->next!=NULL) /* len >=4 */ |
---|
| 2372 | ) return 1; |
---|
[0001f9] | 2373 | #endif |
---|
[fc5095] | 2374 | return 0; |
---|
| 2375 | } |
---|
[50cbdc] | 2376 | |
---|
[fc5095] | 2377 | /* check whether a polynomial of G has least 2 monomials */ |
---|
| 2378 | static int islengthpoly2(ideal G) |
---|
| 2379 | { |
---|
| 2380 | int i; |
---|
| 2381 | for(i=IDELEMS(G)-1; i>=0; i--) |
---|
| 2382 | if((G->m[i]!=NULL) /* len >=0 */ |
---|
| 2383 | && (G->m[i]->next!=NULL) /* len >=1 */ |
---|
| 2384 | && (G->m[i]->next->next!=NULL)) /* len >=2 */ |
---|
| 2385 | return 1; |
---|
[50cbdc] | 2386 | |
---|
[fc5095] | 2387 | return 0; |
---|
[a9a7be] | 2388 | } |
---|
| 2389 | |
---|
| 2390 | |
---|
[fc5095] | 2391 | |
---|
[0001f9] | 2392 | /* Implementation of the improved Groebner walk algorithm which is written |
---|
[fc5095] | 2393 | by Quoc-Nam Tran (2000). |
---|
[0001f9] | 2394 | One perturbs the original target weight vector, only if |
---|
| 2395 | the next intermediate weight vector is equal to the current target weight |
---|
[fc5095] | 2396 | vector. This must be repeated until the wanted reduced Groebner basis |
---|
| 2397 | to reach. |
---|
[0001f9] | 2398 | If the numbers of variables is big enough, the representation of the origin |
---|
| 2399 | weight vector may be very big. Therefore, it is possible the intermediate |
---|
| 2400 | weight vector doesn't stay in the correct Groebner cone. |
---|
| 2401 | In this case we have just a reduced Groebner basis of the given ideal |
---|
| 2402 | with respect to another monomial order. Then we have to compute |
---|
[fc5095] | 2403 | a wanted reduced Groebner basis of it with respect to the given order. |
---|
| 2404 | At the following subroutine we use the improved Buchberger algorithm or |
---|
| 2405 | the changed perturbation walk algorithm with a decrased degree. |
---|
| 2406 | */ |
---|
| 2407 | |
---|
| 2408 | /*2 |
---|
| 2409 | * return the initial term of an ideal |
---|
| 2410 | */ |
---|
| 2411 | static ideal idHeadCC(ideal h) |
---|
[50cbdc] | 2412 | { |
---|
[fc5095] | 2413 | int i, nH =IDELEMS(h); |
---|
[0001f9] | 2414 | |
---|
[fc5095] | 2415 | ideal m = idInit(nH,h->rank); |
---|
[0001f9] | 2416 | |
---|
[fc5095] | 2417 | for (i=nH-1;i>=0; i--) |
---|
| 2418 | { |
---|
[0001f9] | 2419 | if (h->m[i]!=NULL) |
---|
[fc5095] | 2420 | m->m[i]=pHead(h->m[i]); |
---|
| 2421 | } |
---|
| 2422 | return m; |
---|
| 2423 | } |
---|
[50cbdc] | 2424 | |
---|
[fc5095] | 2425 | /* check whether two head-ideals are the same */ |
---|
| 2426 | static inline int test_G_GB_walk(ideal H0, ideal H1) |
---|
| 2427 | { |
---|
| 2428 | int i, nG = IDELEMS(H0); |
---|
| 2429 | |
---|
| 2430 | if(nG != IDELEMS(H1)) |
---|
| 2431 | return 0; |
---|
[0001f9] | 2432 | |
---|
[fc5095] | 2433 | for(i=nG-1; i>=0; i--) |
---|
[0001f9] | 2434 | { |
---|
| 2435 | #if 0 |
---|
[fc5095] | 2436 | poly t; |
---|
| 2437 | if((t=pSub(pCopy(H0->m[i]), pCopy(H1->m[i]))) != NULL) |
---|
| 2438 | { |
---|
| 2439 | pDelete(&t); |
---|
| 2440 | return 0; |
---|
| 2441 | } |
---|
| 2442 | pDelete(&t); |
---|
| 2443 | #else |
---|
| 2444 | if(!pEqualPolys(H0->m[i],H1->m[i])) |
---|
| 2445 | return 0; |
---|
[0001f9] | 2446 | #endif |
---|
[fc5095] | 2447 | } |
---|
[50cbdc] | 2448 | |
---|
[fc5095] | 2449 | return 1; |
---|
[50cbdc] | 2450 | } |
---|
[a9a7be] | 2451 | |
---|
[fc5095] | 2452 | /* 19.11.01 */ |
---|
| 2453 | /* find the maximal total degree of polynomials in G */ |
---|
| 2454 | static int Trandegreebound(ideal G) |
---|
[a9a7be] | 2455 | { |
---|
[fc5095] | 2456 | int i, nG = IDELEMS(G); |
---|
| 2457 | int np=1, nV = currRing->N; |
---|
| 2458 | int degtmp, result = 0; |
---|
| 2459 | intvec* ivUnit = Mivdp(nV); |
---|
[0001f9] | 2460 | |
---|
[fc5095] | 2461 | for(i=nG-1; i>=0; i--) |
---|
| 2462 | { |
---|
| 2463 | /* find the maximal total degree of the polynomial G[i] */ |
---|
| 2464 | degtmp = MwalkWeightDegree(G->m[i], ivUnit); |
---|
| 2465 | if(degtmp > result) |
---|
| 2466 | result = degtmp; |
---|
| 2467 | } |
---|
| 2468 | delete ivUnit; |
---|
| 2469 | return result; |
---|
| 2470 | } |
---|
| 2471 | |
---|
[0001f9] | 2472 | /* perturb the weight vector iva w.r.t. the ideal G. |
---|
[fc5095] | 2473 | the monomial order of the current ring is the w_1 weight lex. order. |
---|
| 2474 | define w := d^(n-1)w_1+ d^(n-2)w_2, ...+ dw_(n-1)+ w_n |
---|
| 2475 | where d := 1 + max{totdeg(g):g in G}*m, or |
---|
| 2476 | d := (2*maxdeg*maxdeg + (nV+1)*maxdeg)*m; |
---|
| 2477 | */ |
---|
| 2478 | |
---|
| 2479 | //GMP |
---|
| 2480 | static intvec* TranPertVector(ideal G, intvec* iva) |
---|
| 2481 | { |
---|
| 2482 | BOOLEAN nError = Overflow_Error; |
---|
| 2483 | Overflow_Error = FALSE; |
---|
| 2484 | |
---|
| 2485 | int i, j, nG = IDELEMS(G); |
---|
[50cbdc] | 2486 | int nV = currRing->N; |
---|
[a3bc95e] | 2487 | |
---|
[fc5095] | 2488 | // define the sequence which expresses the current monomial ordering |
---|
| 2489 | // w_1 = iva; w_2 = (1,0,..,0); w_n = (0,...,0,1,0) |
---|
[0001f9] | 2490 | intvec* ivMat = MivMatrixOrder(iva); |
---|
[fc5095] | 2491 | |
---|
| 2492 | int mtmp, m=(*iva)[0]; |
---|
| 2493 | |
---|
| 2494 | for(i=ivMat->length(); i>=0; i--) |
---|
[50cbdc] | 2495 | { |
---|
[fc5095] | 2496 | mtmp = (*ivMat)[i]; |
---|
[0001f9] | 2497 | |
---|
[fc5095] | 2498 | if(mtmp <0) mtmp = -mtmp; |
---|
| 2499 | |
---|
| 2500 | if(mtmp > m) |
---|
| 2501 | m = mtmp; |
---|
| 2502 | } |
---|
[0001f9] | 2503 | |
---|
[fc5095] | 2504 | /* define the maximal total degree of polynomials of G */ |
---|
| 2505 | mpz_t ndeg; |
---|
| 2506 | mpz_init(ndeg); |
---|
| 2507 | |
---|
| 2508 | // 12 Juli 03 |
---|
| 2509 | #ifndef UPPER_BOUND |
---|
| 2510 | mpz_set_si(ndeg, Trandegreebound(G)+1); |
---|
| 2511 | #else |
---|
| 2512 | mpz_t ztmp; |
---|
| 2513 | mpz_init(ztmp); |
---|
| 2514 | |
---|
| 2515 | mpz_t maxdeg; |
---|
| 2516 | mpz_init_set_si(maxdeg, Trandegreebound(G)); |
---|
| 2517 | |
---|
| 2518 | //ndeg = (2*maxdeg*maxdeg + (nV+1)*maxdeg)*m;//Kalkbrenner (1999) |
---|
| 2519 | mpz_pow_ui(ztmp, maxdeg, 2); |
---|
[0001f9] | 2520 | mpz_mul_ui(ztmp, ztmp, 2); |
---|
[fc5095] | 2521 | mpz_mul_ui(maxdeg, maxdeg, nV+1); |
---|
| 2522 | mpz_add(ndeg, ztmp, maxdeg); |
---|
| 2523 | mpz_mul_ui(ndeg, ndeg, m); |
---|
[0001f9] | 2524 | |
---|
[fc5095] | 2525 | //PrintS("\n// with the new upper degree bound (2d^2+(n+1)d)*m "); |
---|
| 2526 | //Print("\n// where d = %d, n = %d and bound = %d", maxdeg, nV, ndeg); |
---|
| 2527 | #endif //UPPER_BOUND |
---|
| 2528 | |
---|
| 2529 | /* 29.08.03*/ |
---|
[0001f9] | 2530 | #ifdef INVEPS_SMALL_IN_TRAN |
---|
[fc5095] | 2531 | if(mpz_cmp_ui(ndeg, nV)>0 && nV > 3) |
---|
| 2532 | mpz_cdiv_q_ui(ndeg, ndeg, nV); |
---|
| 2533 | |
---|
| 2534 | //PrintS("\n// choose the \"small\" inverse epsilon:"); |
---|
| 2535 | //mpz_out_str(stdout, 10, ndeg); |
---|
| 2536 | #endif |
---|
| 2537 | mpz_t deg_tmp; |
---|
| 2538 | mpz_init_set(deg_tmp, ndeg); |
---|
[0001f9] | 2539 | |
---|
| 2540 | mpz_t *ivres=( mpz_t *) omAlloc(nV*sizeof(mpz_t)); |
---|
[fc5095] | 2541 | mpz_init_set_si(ivres[nV-1],1); |
---|
[0001f9] | 2542 | |
---|
[fc5095] | 2543 | for(i=nV-2; i>=0; i--) |
---|
| 2544 | { |
---|
| 2545 | mpz_init_set(ivres[i], deg_tmp); |
---|
| 2546 | mpz_mul(deg_tmp, deg_tmp, ndeg); |
---|
[50cbdc] | 2547 | } |
---|
| 2548 | |
---|
[0001f9] | 2549 | mpz_t *ivtmp=(mpz_t *)omAlloc(nV*sizeof(mpz_t)); |
---|
[fc5095] | 2550 | for(i=0; i<nV; i++) |
---|
| 2551 | mpz_init(ivtmp[i]); |
---|
[0001f9] | 2552 | |
---|
[fc5095] | 2553 | mpz_t sing_int; |
---|
| 2554 | mpz_init_set_ui(sing_int, 2147483647); |
---|
| 2555 | |
---|
| 2556 | intvec* repr_vector = new intvec(nV); |
---|
[0001f9] | 2557 | |
---|
[fc5095] | 2558 | /* define ivtmp := ndeg^(n-1).w_1 + ndeg^(n-2).w_2 + ... + w_n */ |
---|
| 2559 | for(i=0; i<nV; i++) |
---|
| 2560 | for(j=0; j<nV; j++) |
---|
| 2561 | { |
---|
| 2562 | if( (*ivMat)[i*nV+j] >= 0 ) |
---|
| 2563 | mpz_mul_ui(ivres[i], ivres[i], (*ivMat)[i*nV+j]); |
---|
| 2564 | else |
---|
| 2565 | { |
---|
| 2566 | mpz_mul_ui(ivres[i], ivres[i], -(*ivMat)[i*nV+j]); |
---|
| 2567 | mpz_neg(ivres[i], ivres[i]); |
---|
| 2568 | } |
---|
| 2569 | mpz_add(ivtmp[j], ivtmp[j], ivres[i]); |
---|
| 2570 | } |
---|
| 2571 | |
---|
| 2572 | delete ivMat; |
---|
[50cbdc] | 2573 | |
---|
[fc5095] | 2574 | int ntrue=0; |
---|
| 2575 | for(i=0; i<nV; i++) |
---|
[50cbdc] | 2576 | { |
---|
[fc5095] | 2577 | (*repr_vector)[i] = mpz_get_si(ivtmp[i]); |
---|
| 2578 | if(mpz_cmp(ivtmp[i], sing_int)>=0) |
---|
[50cbdc] | 2579 | { |
---|
[fc5095] | 2580 | ntrue++; |
---|
| 2581 | if(Overflow_Error == FALSE) |
---|
| 2582 | { |
---|
| 2583 | Overflow_Error = TRUE; |
---|
[0001f9] | 2584 | |
---|
[fc5095] | 2585 | PrintS("\n// ** OVERFLOW in \"Repr.Vector\": "); |
---|
| 2586 | mpz_out_str( stdout, 10, ivtmp[i]); |
---|
| 2587 | PrintS(" is greater than 2147483647 (max. integer representation)"); |
---|
| 2588 | Print("\n// So vector[%d] := %d is wrong!!\n",i+1,(*repr_vector)[i]); |
---|
| 2589 | } |
---|
[50cbdc] | 2590 | } |
---|
[fc5095] | 2591 | } |
---|
[0001f9] | 2592 | if(Overflow_Error == TRUE) |
---|
[fc5095] | 2593 | { |
---|
| 2594 | ivString(repr_vector, "repvector"); |
---|
| 2595 | Print("\n// %d element(s) of it are overflow!!", ntrue); |
---|
[50cbdc] | 2596 | } |
---|
| 2597 | |
---|
[0001f9] | 2598 | if(Overflow_Error == FALSE) |
---|
[fc5095] | 2599 | Overflow_Error=nError; |
---|
| 2600 | |
---|
[0001f9] | 2601 | omFree(ivres); |
---|
| 2602 | omFree(ivtmp); |
---|
[fc5095] | 2603 | return repr_vector; |
---|
| 2604 | } |
---|
| 2605 | |
---|
| 2606 | |
---|
| 2607 | |
---|
| 2608 | static intvec* TranPertVector_lp(ideal G) |
---|
| 2609 | { |
---|
| 2610 | BOOLEAN nError = Overflow_Error; |
---|
| 2611 | Overflow_Error = FALSE; |
---|
| 2612 | |
---|
| 2613 | int i, j, nG = IDELEMS(G); |
---|
| 2614 | int nV = currRing->N; |
---|
| 2615 | |
---|
| 2616 | /* define the maximal total degree of polynomials of G */ |
---|
| 2617 | mpz_t ndeg; |
---|
| 2618 | mpz_init(ndeg); |
---|
| 2619 | |
---|
| 2620 | // 12 Juli 03 |
---|
| 2621 | #ifndef UPPER_BOUND |
---|
| 2622 | mpz_set_si(ndeg, Trandegreebound(G)+1); |
---|
| 2623 | #else |
---|
| 2624 | mpz_t ztmp; |
---|
| 2625 | mpz_init(ztmp); |
---|
| 2626 | |
---|
| 2627 | mpz_t maxdeg; |
---|
| 2628 | mpz_init_set_si(maxdeg, Trandegreebound(G)); |
---|
| 2629 | |
---|
| 2630 | //ndeg = (2*maxdeg*maxdeg + (nV+1)*maxdeg);//Kalkbrenner (1999) |
---|
| 2631 | mpz_pow_ui(ztmp, maxdeg, 2); |
---|
[0001f9] | 2632 | mpz_mul_ui(ztmp, ztmp, 2); |
---|
[fc5095] | 2633 | mpz_mul_ui(maxdeg, maxdeg, nV+1); |
---|
| 2634 | mpz_add(ndeg, ztmp, maxdeg); |
---|
| 2635 | /* |
---|
| 2636 | PrintS("\n// with the new upper degree bound (2d^2+(n+1)d)*m "); |
---|
[0001f9] | 2637 | Print("\n// where d = %d, n = %d and bound = %d", |
---|
[fc5095] | 2638 | mpz_get_si(maxdeg), nV, mpz_get_si(ndeg)); |
---|
| 2639 | */ |
---|
| 2640 | #endif //UPPER_BOUND |
---|
| 2641 | |
---|
[0001f9] | 2642 | #ifdef INVEPS_SMALL_IN_TRAN |
---|
[fc5095] | 2643 | if(mpz_cmp_ui(ndeg, nV)>0 && nV > 3) |
---|
| 2644 | mpz_cdiv_q_ui(ndeg, ndeg, nV); |
---|
| 2645 | |
---|
| 2646 | //PrintS("\n// choose the \"small\" inverse epsilon:"); |
---|
| 2647 | // mpz_out_str(stdout, 10, ndeg); |
---|
| 2648 | #endif |
---|
| 2649 | |
---|
| 2650 | mpz_t deg_tmp; |
---|
| 2651 | mpz_init_set(deg_tmp, ndeg); |
---|
[0001f9] | 2652 | |
---|
| 2653 | mpz_t *ivres=(mpz_t *)omAlloc(nV*sizeof(mpz_t)); |
---|
[fc5095] | 2654 | mpz_init_set_si(ivres[nV-1], 1); |
---|
[0001f9] | 2655 | |
---|
[fc5095] | 2656 | for(i=nV-2; i>=0; i--) |
---|
| 2657 | { |
---|
| 2658 | mpz_init_set(ivres[i], deg_tmp); |
---|
| 2659 | mpz_mul(deg_tmp, deg_tmp, ndeg); |
---|
| 2660 | } |
---|
| 2661 | |
---|
| 2662 | mpz_t sing_int; |
---|
| 2663 | mpz_init_set_ui(sing_int, 2147483647); |
---|
| 2664 | |
---|
| 2665 | intvec* repr_vector = new intvec(nV); |
---|
[5f4463] | 2666 | int ntrue=0; |
---|
[fc5095] | 2667 | for(i=0; i<nV; i++) |
---|
| 2668 | { |
---|
| 2669 | (*repr_vector)[i] = mpz_get_si(ivres[i]); |
---|
[a3bc95e] | 2670 | |
---|
[fc5095] | 2671 | if(mpz_cmp(ivres[i], sing_int)>=0) |
---|
| 2672 | { |
---|
| 2673 | ntrue++; |
---|
| 2674 | if(Overflow_Error == FALSE) |
---|
| 2675 | { |
---|
| 2676 | Overflow_Error = TRUE; |
---|
| 2677 | PrintS("\n// ** OVERFLOW in \"Repr.Vector\": "); |
---|
| 2678 | mpz_out_str( stdout, 10, ivres[i]); |
---|
| 2679 | PrintS(" is greater than 2147483647 (max. integer representation)"); |
---|
| 2680 | Print("\n// So vector[%d] := %d is wrong!!\n",i+1,(*repr_vector)[i]); |
---|
| 2681 | } |
---|
[0001f9] | 2682 | } |
---|
[fc5095] | 2683 | } |
---|
[0001f9] | 2684 | if(Overflow_Error == TRUE) |
---|
[50cbdc] | 2685 | { |
---|
[fc5095] | 2686 | ivString(repr_vector, "repvector"); |
---|
| 2687 | Print("\n// %d element(s) of it are overflow!!", ntrue); |
---|
[50cbdc] | 2688 | } |
---|
[0001f9] | 2689 | if(Overflow_Error == FALSE) |
---|
[fc5095] | 2690 | Overflow_Error = nError; |
---|
| 2691 | |
---|
[0001f9] | 2692 | omFree(ivres); |
---|
[fc5095] | 2693 | return repr_vector; |
---|
| 2694 | } |
---|
[a9a7be] | 2695 | |
---|
[a3bc95e] | 2696 | |
---|
[fc5095] | 2697 | //GMP |
---|
| 2698 | static intvec* RepresentationMatrix_Dp(ideal G, intvec* M) |
---|
| 2699 | { |
---|
| 2700 | BOOLEAN nError = Overflow_Error; |
---|
| 2701 | Overflow_Error = FALSE; |
---|
[a9a7be] | 2702 | |
---|
[fc5095] | 2703 | int i, j; |
---|
| 2704 | int nV = currRing->N; |
---|
[a9a7be] | 2705 | |
---|
[fc5095] | 2706 | intvec* ivUnit = Mivdp(nV); |
---|
| 2707 | int degtmp, maxdeg = 0; |
---|
[0001f9] | 2708 | |
---|
[fc5095] | 2709 | for(i=IDELEMS(G)-1; i>=0; i--) |
---|
[a9a7be] | 2710 | { |
---|
[fc5095] | 2711 | /* find the maximal total degree of the polynomial G[i] */ |
---|
| 2712 | degtmp = MwalkWeightDegree(G->m[i], ivUnit); |
---|
| 2713 | if(degtmp > maxdeg) |
---|
| 2714 | maxdeg = degtmp; |
---|
[50cbdc] | 2715 | } |
---|
| 2716 | |
---|
[fc5095] | 2717 | mpz_t ztmp; |
---|
| 2718 | mpz_init_set_si(ztmp, maxdeg); |
---|
[0001f9] | 2719 | mpz_t *ivres=(mpz_t *)omAlloc(nV*sizeof(mpz_t)); |
---|
[fc5095] | 2720 | mpz_init_set_si(ivres[nV-1], 1); // (*ivres)[nV-1] = 1; |
---|
| 2721 | |
---|
| 2722 | for(i=nV-2; i>=0; i--) |
---|
[50cbdc] | 2723 | { |
---|
[fc5095] | 2724 | mpz_init_set(ivres[i], ztmp); //(*ivres)[i] = ztmp; |
---|
| 2725 | mpz_mul_ui(ztmp, ztmp, maxdeg); //ztmp *=maxdeg; |
---|
| 2726 | } |
---|
| 2727 | |
---|
[0001f9] | 2728 | mpz_t *ivtmp=(mpz_t*)omAlloc(nV*sizeof(mpz_t)); |
---|
[fc5095] | 2729 | for(i=0; i<nV; i++) |
---|
| 2730 | mpz_init(ivtmp[i]); |
---|
| 2731 | |
---|
| 2732 | /* define ivtmp := ndeg^(n-1).w_1 + ndeg^(n-2).w_2 + ... + w_n */ |
---|
| 2733 | for(i=0; i<nV; i++) |
---|
[50cbdc] | 2734 | for(j=0; j<nV; j++) |
---|
[fc5095] | 2735 | { |
---|
| 2736 | if((*M)[i*nV+j] < 0) |
---|
| 2737 | { |
---|
| 2738 | mpz_mul_ui(ztmp, ivres[i], -(*M)[i*nV+j]); |
---|
| 2739 | mpz_neg(ztmp, ztmp); |
---|
| 2740 | } |
---|
[0001f9] | 2741 | else |
---|
[fc5095] | 2742 | mpz_mul_ui(ztmp, ivres[i], (*M)[i*nV+j]); |
---|
| 2743 | |
---|
[0001f9] | 2744 | mpz_add(ivtmp[j], ivtmp[j], ztmp); |
---|
[fc5095] | 2745 | } |
---|
[50cbdc] | 2746 | |
---|
[fc5095] | 2747 | mpz_t sing_int; |
---|
| 2748 | mpz_init_set_ui(sing_int, 2147483647); |
---|
| 2749 | |
---|
[5f4463] | 2750 | int ntrue=0; |
---|
[fc5095] | 2751 | intvec* repvector = new intvec(nV); |
---|
| 2752 | for(i=0; i<nV; i++) |
---|
| 2753 | { |
---|
| 2754 | (*repvector)[i] = mpz_get_si(ivtmp[i]); |
---|
| 2755 | if(mpz_cmp(ivtmp[i], sing_int)>0) |
---|
| 2756 | { |
---|
| 2757 | ntrue++; |
---|
| 2758 | if(Overflow_Error == FALSE) |
---|
| 2759 | { |
---|
| 2760 | Overflow_Error = TRUE; |
---|
| 2761 | PrintS("\n// ** OVERFLOW in \"Repr.Matrix\": "); |
---|
| 2762 | mpz_out_str( stdout, 10, ivtmp[i]); |
---|
| 2763 | PrintS(" is greater than 2147483647 (max. integer representation)"); |
---|
| 2764 | Print("\n// So vector[%d] := %d is wrong!!\n",i+1,(*repvector)[i]); |
---|
[0001f9] | 2765 | } |
---|
[fc5095] | 2766 | } |
---|
| 2767 | } |
---|
[0001f9] | 2768 | if(Overflow_Error == TRUE) |
---|
[fc5095] | 2769 | { |
---|
| 2770 | ivString(repvector, "repvector"); |
---|
| 2771 | Print("\n// %d element(s) of it are overflow!!", ntrue); |
---|
[a9a7be] | 2772 | } |
---|
[fc5095] | 2773 | |
---|
[0001f9] | 2774 | if(Overflow_Error == FALSE) |
---|
[fc5095] | 2775 | Overflow_Error = nError; |
---|
| 2776 | |
---|
[0001f9] | 2777 | mpz_clear(ztmp); |
---|
| 2778 | omFree(ivtmp); |
---|
| 2779 | omFree(ivres); |
---|
[fc5095] | 2780 | return repvector; |
---|
[50cbdc] | 2781 | } |
---|
[a9a7be] | 2782 | |
---|
[fc5095] | 2783 | |
---|
| 2784 | |
---|
| 2785 | |
---|
| 2786 | |
---|
[0001f9] | 2787 | /* The following subroutine is the implementation of our first improved |
---|
[fc5095] | 2788 | Groebner walk algorithm, i.e. the first altervative algorithm. |
---|
| 2789 | First we use the Grobner walk algorithm and then we call the changed |
---|
| 2790 | perturbation walk algorithm with decreased degree, if an intermediate |
---|
[0001f9] | 2791 | weight vector is equal to the current target weight vector. |
---|
| 2792 | This call will be only repeated until we get the wanted reduced Groebner |
---|
[fc5095] | 2793 | basis or n times, where n is the numbers of variables. |
---|
| 2794 | */ |
---|
| 2795 | |
---|
| 2796 | // 19 Juni 2003 |
---|
| 2797 | static int testnegintvec(intvec* v) |
---|
[50cbdc] | 2798 | { |
---|
[fc5095] | 2799 | int n = v->length(); |
---|
| 2800 | int i; |
---|
| 2801 | for(i=0; i<n; i++){ |
---|
| 2802 | if((*v)[i]<0) |
---|
| 2803 | return(1); |
---|
| 2804 | } |
---|
| 2805 | return(0); |
---|
| 2806 | } |
---|
[50cbdc] | 2807 | |
---|
[fc5095] | 2808 | |
---|
| 2809 | /* 7 Februar 2002 */ |
---|
| 2810 | /* npwinc = 0, if curr_weight doesn't stay in the correct Groebner cone */ |
---|
[0001f9] | 2811 | static ideal Rec_LastGB(ideal G, intvec* curr_weight, |
---|
| 2812 | intvec* orig_target_weight, int tp_deg, int npwinc) |
---|
[fc5095] | 2813 | { |
---|
| 2814 | BOOLEAN nError = Overflow_Error; |
---|
| 2815 | Overflow_Error = FALSE; |
---|
| 2816 | BOOLEAN nOverflow_Error = FALSE; |
---|
| 2817 | |
---|
| 2818 | clock_t tproc=0; |
---|
| 2819 | clock_t tinput = clock(); |
---|
| 2820 | |
---|
| 2821 | int i, nV = currRing->N; |
---|
| 2822 | int nwalk=0, endwalks=0, nnwinC=1; |
---|
| 2823 | int nlast = 0; |
---|
| 2824 | ideal Gomega, M, F, Gomega1, Gomega2, M1,F1,result,ssG; |
---|
| 2825 | ring newRing, oldRing, TargetRing; |
---|
| 2826 | intvec* iv_M_lp; |
---|
| 2827 | intvec* target_weight; |
---|
| 2828 | intvec* ivNull = new intvec(nV); //define (0,...,0) |
---|
| 2829 | ring EXXRing = currRing; |
---|
| 2830 | int NEG=0; //19 juni 03 |
---|
| 2831 | intvec* extra_curr_weight = new intvec(nV); |
---|
| 2832 | intvec* next_weight; |
---|
| 2833 | |
---|
| 2834 | //08 Juli 03 |
---|
[0001f9] | 2835 | intvec* hilb_func; |
---|
[fc5095] | 2836 | /* to avoid (1,0,...,0) as the target vector */ |
---|
| 2837 | intvec* last_omega = new intvec(nV); |
---|
| 2838 | for(i=nV-1; i>0; i--) |
---|
| 2839 | (*last_omega)[i] = 1; |
---|
| 2840 | (*last_omega)[0] = 10000; |
---|
| 2841 | |
---|
| 2842 | BOOLEAN isGB = FALSE; |
---|
| 2843 | |
---|
| 2844 | /* compute a pertubed weight vector of the target weight vector */ |
---|
| 2845 | if(tp_deg > 1 && tp_deg <= nV) { |
---|
| 2846 | ideal H0 = idHeadCC(G); |
---|
| 2847 | |
---|
[e94918] | 2848 | if (rParameter (currRing) != NULL) |
---|
[fc5095] | 2849 | DefRingParlp(); |
---|
| 2850 | else |
---|
| 2851 | VMrDefaultlp(); |
---|
| 2852 | |
---|
| 2853 | TargetRing = currRing; |
---|
[e94918] | 2854 | ssG = idrMoveR(G,EXXRing,currRing); |
---|
[fc5095] | 2855 | |
---|
[e94918] | 2856 | ideal H0_tmp = idrMoveR(H0,EXXRing,currRing); |
---|
[fc5095] | 2857 | ideal H1 = idHeadCC(ssG); |
---|
| 2858 | |
---|
| 2859 | /* Apply Lemma 2.2 in Collart et. al (1997) to check whether |
---|
| 2860 | cone(k-1) is equal to cone(k) */ |
---|
| 2861 | if(test_G_GB_walk(H0_tmp,H1)==1) { |
---|
[0001f9] | 2862 | idDelete(&H0_tmp); |
---|
[fc5095] | 2863 | idDelete(&H1); |
---|
| 2864 | G = ssG; |
---|
| 2865 | ssG = NULL; |
---|
| 2866 | newRing = currRing; |
---|
| 2867 | delete ivNull; |
---|
[0001f9] | 2868 | |
---|
[fc5095] | 2869 | if(npwinc != 0) |
---|
| 2870 | goto LastGB_Finish; |
---|
| 2871 | else { |
---|
| 2872 | isGB = TRUE; |
---|
| 2873 | goto KSTD_Finish; |
---|
| 2874 | } |
---|
| 2875 | } |
---|
[0001f9] | 2876 | idDelete(&H0_tmp); |
---|
[fc5095] | 2877 | idDelete(&H1); |
---|
[0001f9] | 2878 | |
---|
[fc5095] | 2879 | iv_M_lp = MivMatrixOrderlp(nV); |
---|
| 2880 | target_weight = MPertVectors(ssG, iv_M_lp, tp_deg); |
---|
| 2881 | delete iv_M_lp; |
---|
| 2882 | //PrintS("\n// Input is not GB!!"); |
---|
| 2883 | rChangeCurrRing(EXXRing); |
---|
[e94918] | 2884 | G = idrMoveR(ssG, TargetRing,currRing); |
---|
[fc5095] | 2885 | |
---|
| 2886 | if(Overflow_Error == TRUE) { |
---|
[0001f9] | 2887 | nOverflow_Error = Overflow_Error; |
---|
[fc5095] | 2888 | NEG = 1; |
---|
| 2889 | newRing = currRing; |
---|
| 2890 | goto JUNI_STD; |
---|
| 2891 | } |
---|
[50cbdc] | 2892 | } |
---|
[a9a7be] | 2893 | |
---|
[fc5095] | 2894 | while(1) |
---|
[0001f9] | 2895 | { |
---|
[fc5095] | 2896 | nwalk ++; |
---|
| 2897 | nstep++; |
---|
| 2898 | |
---|
[0001f9] | 2899 | if(nwalk==1) |
---|
[fc5095] | 2900 | goto FIRST_STEP; |
---|
| 2901 | |
---|
| 2902 | to=clock(); |
---|
| 2903 | /* compute an initial form ideal of <G> w.r.t. "curr_vector" */ |
---|
| 2904 | Gomega = MwalkInitialForm(G, curr_weight); |
---|
| 2905 | xtif=xtif+clock()-to; |
---|
| 2906 | |
---|
| 2907 | #ifndef BUCHBERGER_ALG |
---|
| 2908 | if(isNolVector(curr_weight) == 0) |
---|
| 2909 | hilb_func = hFirstSeries(Gomega,NULL,NULL,curr_weight,currRing); |
---|
| 2910 | else |
---|
| 2911 | hilb_func = hFirstSeries(Gomega,NULL,NULL,last_omega,currRing); |
---|
| 2912 | #endif // BUCHBERGER_ALG |
---|
| 2913 | |
---|
| 2914 | oldRing = currRing; |
---|
[0001f9] | 2915 | |
---|
[fc5095] | 2916 | /* defiNe a new ring that its ordering is "(a(curr_weight),lp) */ |
---|
[e94918] | 2917 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 2918 | DefRingPar(curr_weight); |
---|
| 2919 | else |
---|
| 2920 | VMrDefault(curr_weight); |
---|
| 2921 | |
---|
[0001f9] | 2922 | newRing = currRing; |
---|
[e94918] | 2923 | Gomega1 = idrMoveR(Gomega, oldRing,currRing); |
---|
[fc5095] | 2924 | to=clock(); |
---|
| 2925 | /* compute a reduced Groebner basis of <Gomega> w.r.t. "newRing" */ |
---|
| 2926 | #ifdef BUCHBERGER_ALG |
---|
| 2927 | M = MstdhomCC(Gomega1); |
---|
| 2928 | #else |
---|
| 2929 | M=kStd(Gomega1,NULL,isHomog,NULL,hilb_func,0,NULL,curr_weight); |
---|
[0001f9] | 2930 | delete hilb_func; |
---|
[fc5095] | 2931 | #endif // BUCHBERGER_ALG |
---|
| 2932 | xtstd=xtstd+clock()-to; |
---|
[0001f9] | 2933 | /* change the ring to oldRing */ |
---|
[fc5095] | 2934 | rChangeCurrRing(oldRing); |
---|
[e94918] | 2935 | M1 = idrMoveR(M, newRing,currRing); |
---|
| 2936 | Gomega2 = idrMoveR(Gomega1, newRing,currRing); |
---|
[0001f9] | 2937 | |
---|
[fc5095] | 2938 | to=clock(); |
---|
[0001f9] | 2939 | /* compute a reduced Groebner basis of <G> w.r.t. "newRing" by the |
---|
[fc5095] | 2940 | lifting process*/ |
---|
| 2941 | F = MLifttwoIdeal(Gomega2, M1, G); |
---|
| 2942 | xtlift=xtlift+clock()-to; |
---|
[0001f9] | 2943 | idDelete(&M1); |
---|
| 2944 | idDelete(&Gomega2); |
---|
[fc5095] | 2945 | idDelete(&G); |
---|
[0001f9] | 2946 | |
---|
| 2947 | /* change the ring to newRing */ |
---|
[fc5095] | 2948 | rChangeCurrRing(newRing); |
---|
[e94918] | 2949 | F1 = idrMoveR(F, oldRing,currRing); |
---|
[fc5095] | 2950 | |
---|
| 2951 | to=clock(); |
---|
[0001f9] | 2952 | /* reduce the Groebner basis <G> w.r.t. new ring */ |
---|
[fc5095] | 2953 | G = kInterRedCC(F1, NULL); |
---|
| 2954 | xtred=xtred+clock()-to; |
---|
| 2955 | idDelete(&F1); |
---|
[0001f9] | 2956 | |
---|
[fc5095] | 2957 | if(endwalks == 1) |
---|
| 2958 | break; |
---|
| 2959 | |
---|
| 2960 | FIRST_STEP: |
---|
| 2961 | to=clock(); |
---|
| 2962 | Overflow_Error = FALSE; |
---|
| 2963 | /* compute a next weight vector */ |
---|
| 2964 | next_weight = MkInterRedNextWeight(curr_weight,target_weight, G); |
---|
| 2965 | xtnw=xtnw+clock()-to; |
---|
[0001f9] | 2966 | #ifdef PRINT_VECTORS |
---|
[fc5095] | 2967 | MivString(curr_weight, target_weight, next_weight); |
---|
| 2968 | #endif |
---|
[0001f9] | 2969 | |
---|
[fc5095] | 2970 | if(Overflow_Error == TRUE) { |
---|
| 2971 | //PrintS("\n// ** The next vector does NOT stay in Cone!!\n"); |
---|
| 2972 | #ifdef TEST_OVERFLOW |
---|
| 2973 | goto LastGB_Finish; |
---|
| 2974 | #endif |
---|
| 2975 | |
---|
| 2976 | nnwinC = 0; |
---|
| 2977 | if(tp_deg == nV) |
---|
| 2978 | nlast = 1; |
---|
[0001f9] | 2979 | |
---|
[fc5095] | 2980 | delete next_weight; |
---|
| 2981 | break; |
---|
| 2982 | } |
---|
| 2983 | |
---|
| 2984 | if(MivComp(next_weight, ivNull) == 1) { |
---|
| 2985 | //newRing = currRing; |
---|
| 2986 | delete next_weight; |
---|
| 2987 | break; |
---|
| 2988 | } |
---|
[0001f9] | 2989 | |
---|
[fc5095] | 2990 | if(MivComp(next_weight, target_weight) == 1) { |
---|
| 2991 | if(tp_deg == nV) |
---|
| 2992 | endwalks = 1; |
---|
| 2993 | else { |
---|
| 2994 | REC_LAST_GB_ALT2: |
---|
[0001f9] | 2995 | nOverflow_Error = Overflow_Error; |
---|
| 2996 | tproc=tproc+clock()-tinput; |
---|
| 2997 | /* |
---|
| 2998 | Print("\n// takes %d steps and calls \"Rec_LastGB\" (%d):", |
---|
| 2999 | nwalk, tp_deg+1); |
---|
| 3000 | */ |
---|
[fc5095] | 3001 | G = Rec_LastGB(G,curr_weight, orig_target_weight, tp_deg+1,nnwinC); |
---|
| 3002 | newRing = currRing; |
---|
| 3003 | delete next_weight; |
---|
| 3004 | break; |
---|
| 3005 | } |
---|
| 3006 | } |
---|
[0001f9] | 3007 | |
---|
[fc5095] | 3008 | for(i=nV-1; i>=0; i--) { |
---|
| 3009 | //(*extra_curr_weight)[i] = (*curr_weight)[i]; |
---|
| 3010 | (*curr_weight)[i] = (*next_weight)[i]; |
---|
[0001f9] | 3011 | } |
---|
| 3012 | delete next_weight; |
---|
| 3013 | }//while |
---|
[fc5095] | 3014 | |
---|
| 3015 | delete ivNull; |
---|
| 3016 | |
---|
| 3017 | if(tp_deg != nV) { |
---|
| 3018 | newRing = currRing; |
---|
| 3019 | |
---|
[e94918] | 3020 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 3021 | DefRingParlp(); |
---|
| 3022 | else |
---|
| 3023 | VMrDefaultlp(); |
---|
| 3024 | |
---|
[e94918] | 3025 | F1 = idrMoveR(G, newRing,currRing); |
---|
[0001f9] | 3026 | |
---|
[fc5095] | 3027 | if(nnwinC == 0 || test_w_in_ConeCC(F1, target_weight) != 1 ) { |
---|
| 3028 | nOverflow_Error = Overflow_Error; |
---|
| 3029 | //Print("\n// takes %d steps and calls \"Rec_LastGB (%d):", tp_deg+1); |
---|
| 3030 | tproc=tproc+clock()-tinput; |
---|
[0001f9] | 3031 | F1 = Rec_LastGB(F1,curr_weight, orig_target_weight, tp_deg+1,nnwinC); |
---|
| 3032 | } |
---|
[fc5095] | 3033 | delete target_weight; |
---|
| 3034 | |
---|
| 3035 | TargetRing = currRing; |
---|
| 3036 | rChangeCurrRing(EXXRing); |
---|
[e94918] | 3037 | result = idrMoveR(F1, TargetRing,currRing); |
---|
[fc5095] | 3038 | } |
---|
| 3039 | else { |
---|
[0001f9] | 3040 | if(nlast == 1) { |
---|
[fc5095] | 3041 | JUNI_STD: |
---|
[0001f9] | 3042 | |
---|
[fc5095] | 3043 | newRing = currRing; |
---|
[e94918] | 3044 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 3045 | DefRingParlp(); |
---|
| 3046 | else |
---|
| 3047 | VMrDefaultlp(); |
---|
| 3048 | |
---|
| 3049 | KSTD_Finish: |
---|
| 3050 | if(isGB == FALSE) |
---|
[e94918] | 3051 | F1 = idrMoveR(G, newRing,currRing); |
---|
[fc5095] | 3052 | else |
---|
| 3053 | F1 = G; |
---|
| 3054 | to=clock(); |
---|
| 3055 | // Print("\n// apply the Buchberger's alg in ring = %s",rString(currRing)); |
---|
| 3056 | // idElements(F1, "F1"); |
---|
| 3057 | G = MstdCC(F1); |
---|
| 3058 | xtextra=xtextra+clock()-to; |
---|
| 3059 | |
---|
[0001f9] | 3060 | |
---|
[fc5095] | 3061 | idDelete(&F1); |
---|
| 3062 | newRing = currRing; |
---|
| 3063 | } |
---|
[0001f9] | 3064 | |
---|
[fc5095] | 3065 | LastGB_Finish: |
---|
| 3066 | rChangeCurrRing(EXXRing); |
---|
[e94918] | 3067 | result = idrMoveR(G, newRing,currRing); |
---|
[0001f9] | 3068 | } |
---|
[fc5095] | 3069 | |
---|
[0001f9] | 3070 | if(Overflow_Error == FALSE) |
---|
[fc5095] | 3071 | Overflow_Error=nError; |
---|
| 3072 | /* |
---|
| 3073 | Print("\n// \"Rec_LastGB\" (%d) took %d steps and %.2f sec.Overflow_Error (%d)", tp_deg, |
---|
[0001f9] | 3074 | nwalk, ((double) tproc)/1000000, nOverflow_Error); |
---|
[fc5095] | 3075 | */ |
---|
[0001f9] | 3076 | return(result); |
---|
[a9a7be] | 3077 | } |
---|
| 3078 | |
---|
[0001f9] | 3079 | /* The following subroutine is the implementation of our second improved |
---|
[fc5095] | 3080 | Groebner walk algorithm, i.e. the second altervative algorithm. |
---|
| 3081 | First we use the Grobner walk algorithm and then we call the changed |
---|
| 3082 | perturbation walk algorithm with increased degree, if an intermediate |
---|
[0001f9] | 3083 | weight vector is equal to the current target weight vector. |
---|
| 3084 | This call will be only repeated until we get the wanted reduced Groebner |
---|
[fc5095] | 3085 | basis or n times, where n is the numbers of variables. |
---|
| 3086 | */ |
---|
| 3087 | /* walk + recursive LastGB */ |
---|
| 3088 | ideal MAltwalk2(ideal Go, intvec* curr_weight, intvec* target_weight) |
---|
[a9a7be] | 3089 | { |
---|
[fc5095] | 3090 | Set_Error(FALSE); |
---|
| 3091 | Overflow_Error = FALSE; |
---|
| 3092 | BOOLEAN nOverflow_Error = FALSE; |
---|
| 3093 | //Print("// pSetm_Error = (%d)", ErrorCheck()); |
---|
| 3094 | |
---|
| 3095 | xtif=0; xtstd=0; xtlift=0; xtred=0; xtnw=0; xtextra=0; |
---|
| 3096 | xftinput = clock(); |
---|
| 3097 | clock_t tostd, tproc; |
---|
| 3098 | |
---|
| 3099 | nstep = 0; |
---|
| 3100 | int i, nV = currRing->N; |
---|
| 3101 | int nwalk=0, endwalks=0, nhilb=1; |
---|
[0001f9] | 3102 | |
---|
[fc5095] | 3103 | ideal Gomega, M, F, Gomega1, Gomega2, M1, F1, G, G1; |
---|
| 3104 | ring endRing, newRing, oldRing; |
---|
| 3105 | intvec* ivNull = new intvec(nV); |
---|
| 3106 | intvec* next_weight; |
---|
| 3107 | intvec* extra_curr_weight = new intvec(nV); |
---|
| 3108 | intvec* hilb_func; |
---|
| 3109 | intvec* exivlp = Mivlp(nV); |
---|
| 3110 | |
---|
| 3111 | ring XXRing = currRing; |
---|
[0001f9] | 3112 | |
---|
[fc5095] | 3113 | //Print("\n// ring r_input = %s;", rString(currRing)); |
---|
[0001f9] | 3114 | to = clock(); |
---|
| 3115 | /* compute the reduced Groebner basis of the given ideal w.r.t. |
---|
| 3116 | a "fast" monomial order, e.g. degree reverse lex. order (dp) */ |
---|
[fc5095] | 3117 | G = MstdCC(Go); |
---|
| 3118 | tostd=clock()-to; |
---|
[0001f9] | 3119 | |
---|
[fc5095] | 3120 | /* |
---|
[0001f9] | 3121 | Print("\n// Computation of the first std took = %.2f sec", |
---|
[fc5095] | 3122 | ((double) tostd)/1000000); |
---|
| 3123 | */ |
---|
| 3124 | if(currRing->order[0] == ringorder_a) |
---|
| 3125 | goto NEXT_VECTOR; |
---|
[0001f9] | 3126 | |
---|
[fc5095] | 3127 | while(1) |
---|
[0001f9] | 3128 | { |
---|
[fc5095] | 3129 | nwalk ++; |
---|
| 3130 | nstep ++; |
---|
[0001f9] | 3131 | to = clock(); |
---|
[fc5095] | 3132 | /* compute an initial form ideal of <G> w.r.t. "curr_vector" */ |
---|
| 3133 | Gomega = MwalkInitialForm(G, curr_weight); |
---|
| 3134 | xtif=xtif+clock()-to; |
---|
| 3135 | #if 0 |
---|
| 3136 | if(Overflow_Error == TRUE) |
---|
| 3137 | { |
---|
| 3138 | for(i=nV-1; i>=0; i--) |
---|
| 3139 | (*curr_weight)[i] = (*extra_curr_weight)[i]; |
---|
| 3140 | delete extra_curr_weight; |
---|
| 3141 | goto LAST_GB_ALT2; |
---|
| 3142 | } |
---|
[0001f9] | 3143 | #endif |
---|
[fc5095] | 3144 | oldRing = currRing; |
---|
[0001f9] | 3145 | |
---|
[fc5095] | 3146 | /* define a new ring that its ordering is "(a(curr_weight),lp) */ |
---|
[e94918] | 3147 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 3148 | DefRingPar(curr_weight); |
---|
| 3149 | else |
---|
| 3150 | VMrDefault(curr_weight); |
---|
| 3151 | |
---|
[0001f9] | 3152 | newRing = currRing; |
---|
[e94918] | 3153 | Gomega1 = idrMoveR(Gomega, oldRing,currRing); |
---|
[0001f9] | 3154 | to = clock(); |
---|
[fc5095] | 3155 | /* compute a reduced Groebner basis of <Gomega> w.r.t. "newRing" */ |
---|
| 3156 | M = MstdhomCC(Gomega1); |
---|
| 3157 | xtstd=xtstd+clock()-to; |
---|
[0001f9] | 3158 | /* change the ring to oldRing */ |
---|
[fc5095] | 3159 | rChangeCurrRing(oldRing); |
---|
[e94918] | 3160 | M1 = idrMoveR(M, newRing,currRing); |
---|
| 3161 | Gomega2 = idrMoveR(Gomega1, newRing,currRing); |
---|
[fc5095] | 3162 | |
---|
[0001f9] | 3163 | to = clock(); |
---|
| 3164 | /* compute the reduced Groebner basis of <G> w.r.t. "newRing" |
---|
[fc5095] | 3165 | by the liftig process */ |
---|
| 3166 | F = MLifttwoIdeal(Gomega2, M1, G); |
---|
| 3167 | xtlift=xtlift+clock()-to; |
---|
[0001f9] | 3168 | idDelete(&M1); |
---|
| 3169 | idDelete(&Gomega2); |
---|
| 3170 | idDelete(&G); |
---|
[fc5095] | 3171 | |
---|
[0001f9] | 3172 | /* change the ring to newRing */ |
---|
[fc5095] | 3173 | rChangeCurrRing(newRing); |
---|
[e94918] | 3174 | F1 = idrMoveR(F, oldRing,currRing); |
---|
[fc5095] | 3175 | |
---|
[0001f9] | 3176 | to = clock(); |
---|
| 3177 | /* reduce the Groebner basis <G> w.r.t. newRing */ |
---|
[fc5095] | 3178 | G = kInterRedCC(F1, NULL); |
---|
| 3179 | xtred=xtred+clock()-to; |
---|
| 3180 | idDelete(&F1); |
---|
[0001f9] | 3181 | |
---|
[fc5095] | 3182 | if(endwalks == 1) |
---|
| 3183 | break; |
---|
[a9a7be] | 3184 | |
---|
[fc5095] | 3185 | NEXT_VECTOR: |
---|
[0001f9] | 3186 | to = clock(); |
---|
[fc5095] | 3187 | /* compute a next weight vector */ |
---|
| 3188 | next_weight = MkInterRedNextWeight(curr_weight,target_weight, G); |
---|
| 3189 | xtnw=xtnw+clock()-to; |
---|
[0001f9] | 3190 | #ifdef PRINT_VECTORS |
---|
[fc5095] | 3191 | MivString(curr_weight, target_weight, next_weight); |
---|
| 3192 | #endif |
---|
[0001f9] | 3193 | |
---|
[fc5095] | 3194 | if(Overflow_Error == TRUE) |
---|
| 3195 | { |
---|
| 3196 | /* |
---|
[0001f9] | 3197 | ivString(next_weight, "omega"); |
---|
| 3198 | PrintS("\n// ** The weight vector does NOT stay in Cone!!\n"); |
---|
[fc5095] | 3199 | */ |
---|
| 3200 | #ifdef TEST_OVERFLOW |
---|
| 3201 | goto TEST_OVERFLOW_OI; |
---|
| 3202 | #endif |
---|
| 3203 | |
---|
[0001f9] | 3204 | |
---|
[fc5095] | 3205 | newRing = currRing; |
---|
[e94918] | 3206 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 3207 | DefRingPar(target_weight); |
---|
| 3208 | else |
---|
| 3209 | VMrDefault(target_weight); |
---|
| 3210 | |
---|
[e94918] | 3211 | F1 = idrMoveR(G, newRing,currRing); |
---|
[fc5095] | 3212 | G = MstdCC(F1); |
---|
| 3213 | idDelete(&F1); |
---|
| 3214 | newRing = currRing; |
---|
| 3215 | break; |
---|
| 3216 | } |
---|
| 3217 | |
---|
| 3218 | if(MivComp(next_weight, ivNull) == 1) |
---|
| 3219 | { |
---|
| 3220 | newRing = currRing; |
---|
| 3221 | delete next_weight; |
---|
| 3222 | break; |
---|
| 3223 | } |
---|
[0001f9] | 3224 | |
---|
[fc5095] | 3225 | if(MivComp(next_weight, target_weight) == 1) |
---|
| 3226 | { |
---|
| 3227 | if(MivSame(target_weight, exivlp)==1) |
---|
| 3228 | { |
---|
[0001f9] | 3229 | LAST_GB_ALT2: |
---|
| 3230 | nOverflow_Error = Overflow_Error; |
---|
| 3231 | tproc = clock()-xftinput; |
---|
[fc5095] | 3232 | //Print("\n// takes %d steps and calls the recursion of level 2:", nwalk); |
---|
| 3233 | /* call the changed perturbation walk algorithm with degree 2 */ |
---|
| 3234 | G = Rec_LastGB(G, curr_weight, target_weight, 2,1); |
---|
| 3235 | newRing = currRing; |
---|
| 3236 | delete next_weight; |
---|
| 3237 | break; |
---|
| 3238 | } |
---|
| 3239 | endwalks = 1; |
---|
| 3240 | } |
---|
[0001f9] | 3241 | |
---|
[fc5095] | 3242 | for(i=nV-1; i>=0; i--) |
---|
| 3243 | { |
---|
| 3244 | //(*extra_curr_weight)[i] = (*curr_weight)[i]; |
---|
| 3245 | (*curr_weight)[i] = (*next_weight)[i]; |
---|
| 3246 | } |
---|
| 3247 | delete next_weight; |
---|
[50cbdc] | 3248 | } |
---|
[fc5095] | 3249 | TEST_OVERFLOW_OI: |
---|
| 3250 | rChangeCurrRing(XXRing); |
---|
[e94918] | 3251 | G = idrMoveR(G, newRing,currRing); |
---|
[fc5095] | 3252 | delete ivNull; |
---|
| 3253 | delete exivlp; |
---|
| 3254 | |
---|
| 3255 | #ifdef TIME_TEST |
---|
| 3256 | Print("\n// \"Main procedure\" took %d steps dnd %.2f sec. Overflow_Error (%d)", nwalk, |
---|
[0001f9] | 3257 | ((double) tproc)/1000000, nOverflow_Error); |
---|
[fc5095] | 3258 | |
---|
| 3259 | TimeStringFractal(xftinput, tostd, xtif, xtstd, xtextra,xtlift, xtred,xtnw); |
---|
| 3260 | |
---|
| 3261 | Print("\n// pSetm_Error = (%d)", ErrorCheck()); |
---|
| 3262 | //Print("\n// Overflow_Error? (%d)", nOverflow_Error); |
---|
| 3263 | Print("\n// Awalk2 took %d steps!!", nstep); |
---|
| 3264 | #endif |
---|
[0001f9] | 3265 | |
---|
[fc5095] | 3266 | return(G); |
---|
| 3267 | } |
---|
| 3268 | |
---|
| 3269 | |
---|
| 3270 | /* 5.5.02 */ |
---|
| 3271 | /* The implementation of the fractal walk algorithmus */ |
---|
| 3272 | |
---|
[0001f9] | 3273 | /* The main procedur Mfwalk calls the recursive Subroutine |
---|
[fc5095] | 3274 | rec_fractal_call to compute the wanted Gröbner basis. |
---|
| 3275 | At the main procedur we compute the reduced Gröbner basis w.r.t. a "fast" |
---|
[0001f9] | 3276 | order, e.g. "dp" and a sequence of weight vectors which are row vectors |
---|
[fc5095] | 3277 | of a matrix. This matrix defines the given monomial order, e.g. "lp" |
---|
| 3278 | */ |
---|
| 3279 | |
---|
| 3280 | |
---|
| 3281 | |
---|
| 3282 | |
---|
| 3283 | /* perturb the matrix order of "lex" */ |
---|
| 3284 | static intvec* NewVectorlp(ideal I) |
---|
| 3285 | { |
---|
| 3286 | int nV = currRing->N; |
---|
| 3287 | intvec* iv_wlp = MivMatrixOrderlp(nV); |
---|
| 3288 | intvec* result = Mfpertvector(I, iv_wlp); |
---|
| 3289 | delete iv_wlp; |
---|
| 3290 | return result; |
---|
| 3291 | } |
---|
| 3292 | |
---|
| 3293 | int ngleich; |
---|
| 3294 | intvec* Xsigma; |
---|
| 3295 | intvec* Xtau; |
---|
| 3296 | int xn; |
---|
| 3297 | intvec* Xivinput; |
---|
| 3298 | intvec* Xivlp; |
---|
| 3299 | |
---|
| 3300 | |
---|
| 3301 | |
---|
| 3302 | /*********************************************************************** |
---|
[0001f9] | 3303 | The procedur REC_GB_Mwalk computes a GB for <G> w.r.t. the weight order |
---|
[fc5095] | 3304 | otw, where G is a reduced GB w.r.t. the weight order cw. |
---|
| 3305 | The new procedur Mwalk calls REC_GB. |
---|
| 3306 | ************************************************************************/ |
---|
[0001f9] | 3307 | static ideal REC_GB_Mwalk(ideal G, intvec* curr_weight, intvec* orig_target_weight, |
---|
| 3308 | int tp_deg, int npwinc) |
---|
[fc5095] | 3309 | { |
---|
| 3310 | BOOLEAN nError = Overflow_Error; |
---|
| 3311 | Overflow_Error = FALSE; |
---|
[0001f9] | 3312 | |
---|
[fc5095] | 3313 | int i, nV = currRing->N, ntwC, npwinC; |
---|
| 3314 | int nwalk=0, endwalks=0, nnwinC=1, nlast = 0; |
---|
| 3315 | ideal Gomega, M, F, Gomega1, Gomega2, M1,F1,result,ssG; |
---|
| 3316 | ring newRing, oldRing, TargetRing; |
---|
| 3317 | intvec* iv_M_lp; |
---|
| 3318 | intvec* target_weight; |
---|
[0001f9] | 3319 | intvec* ivNull = new intvec(nV); |
---|
[fc5095] | 3320 | intvec* hilb_func; |
---|
| 3321 | BOOLEAN isGB = FALSE; |
---|
| 3322 | |
---|
| 3323 | /* to avoid (1,0,...,0) as the target vector */ |
---|
| 3324 | intvec* last_omega = new intvec(nV); |
---|
| 3325 | for(i=nV-1; i>0; i--) |
---|
| 3326 | (*last_omega)[i] = 1; |
---|
| 3327 | (*last_omega)[0] = 10000; |
---|
| 3328 | |
---|
| 3329 | ring EXXRing = currRing; |
---|
| 3330 | |
---|
| 3331 | /* compute a pertubed weight vector of the target weight vector */ |
---|
| 3332 | if(tp_deg > 1 && tp_deg <= nV) |
---|
| 3333 | { |
---|
| 3334 | ideal H0 = idHeadCC(G); |
---|
[e94918] | 3335 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 3336 | DefRingPar(orig_target_weight); |
---|
| 3337 | else |
---|
| 3338 | VMrDefault(orig_target_weight); |
---|
| 3339 | |
---|
| 3340 | TargetRing = currRing; |
---|
[e94918] | 3341 | ssG = idrMoveR(G,EXXRing,currRing); |
---|
[0001f9] | 3342 | |
---|
[e94918] | 3343 | ideal H0_tmp = idrMoveR(H0,EXXRing,currRing); |
---|
[fc5095] | 3344 | ideal H1 = idHeadCC(ssG); |
---|
| 3345 | id_Delete(&H0,EXXRing); |
---|
| 3346 | |
---|
| 3347 | if(test_G_GB_walk(H0_tmp,H1)==1) |
---|
| 3348 | { |
---|
| 3349 | //Print("//input in %d-th recursive is a GB",tp_deg); |
---|
| 3350 | idDelete(&H0_tmp);idDelete(&H1); |
---|
| 3351 | G = ssG; |
---|
| 3352 | ssG = NULL; |
---|
| 3353 | newRing = currRing; |
---|
| 3354 | delete ivNull; |
---|
| 3355 | if(npwinc == 0) |
---|
| 3356 | { |
---|
| 3357 | isGB = TRUE; |
---|
| 3358 | goto KSTD_Finish; |
---|
| 3359 | } |
---|
| 3360 | else |
---|
| 3361 | goto LastGB_Finish; |
---|
[0001f9] | 3362 | } |
---|
[fc5095] | 3363 | idDelete(&H0_tmp); idDelete(&H1); |
---|
[0001f9] | 3364 | |
---|
[fc5095] | 3365 | intvec* ivlp = Mivlp(nV); |
---|
| 3366 | if( MivSame(orig_target_weight, ivlp)==1 ) |
---|
| 3367 | iv_M_lp = MivMatrixOrderlp(nV); |
---|
| 3368 | else |
---|
| 3369 | iv_M_lp = MivMatrixOrder(orig_target_weight); |
---|
| 3370 | |
---|
| 3371 | //target_weight = MPertVectorslp(ssG, iv_M_lp, tp_deg); |
---|
| 3372 | target_weight = MPertVectors(ssG, iv_M_lp, tp_deg); |
---|
[0001f9] | 3373 | |
---|
[fc5095] | 3374 | delete ivlp; |
---|
| 3375 | delete iv_M_lp; |
---|
| 3376 | |
---|
| 3377 | rChangeCurrRing(EXXRing); |
---|
[e94918] | 3378 | G = idrMoveR(ssG, TargetRing,currRing); |
---|
[fc5095] | 3379 | } |
---|
[0001f9] | 3380 | |
---|
[fc5095] | 3381 | while(1) |
---|
[0001f9] | 3382 | { |
---|
[fc5095] | 3383 | nwalk ++; |
---|
| 3384 | nstep++; |
---|
| 3385 | if(nwalk == 1) |
---|
| 3386 | goto NEXT_STEP; |
---|
| 3387 | |
---|
| 3388 | //Print("\n// Entering the %d-th step in the %d-th recursive:",nwalk,tp_deg); |
---|
| 3389 | to = clock(); |
---|
| 3390 | /* compute an initial form ideal of <G> w.r.t. "curr_vector" */ |
---|
| 3391 | Gomega = MwalkInitialForm(G, curr_weight); |
---|
| 3392 | xtif = xtif + clock()-to; |
---|
| 3393 | |
---|
| 3394 | #ifndef BUCHBERGER_ALG |
---|
| 3395 | if(isNolVector(curr_weight) == 0) |
---|
| 3396 | hilb_func = hFirstSeries(Gomega,NULL,NULL,curr_weight,currRing); |
---|
| 3397 | else |
---|
| 3398 | hilb_func = hFirstSeries(Gomega,NULL,NULL,last_omega,currRing); |
---|
| 3399 | #endif // BUCHBERGER_ALG |
---|
[0001f9] | 3400 | |
---|
[fc5095] | 3401 | oldRing = currRing; |
---|
| 3402 | |
---|
| 3403 | /* define a new ring that its ordering is "(a(curr_weight),lp) */ |
---|
[e94918] | 3404 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 3405 | DefRingPar(curr_weight); |
---|
| 3406 | else |
---|
| 3407 | VMrDefault(curr_weight); |
---|
| 3408 | |
---|
[0001f9] | 3409 | newRing = currRing; |
---|
[e94918] | 3410 | Gomega1 = idrMoveR(Gomega, oldRing,currRing); |
---|
[fc5095] | 3411 | |
---|
| 3412 | to = clock(); |
---|
| 3413 | /* compute a reduced Groebner basis of <Gomega> w.r.t. "newRing" */ |
---|
| 3414 | #ifdef BUCHBERGER_ALG |
---|
| 3415 | M = MstdhomCC(Gomega1); |
---|
| 3416 | #else |
---|
| 3417 | M=kStd(Gomega1,NULL,isHomog,NULL,hilb_func,0,NULL,curr_weight); |
---|
[0001f9] | 3418 | delete hilb_func; |
---|
[fc5095] | 3419 | #endif // BUCHBERGER_ALG |
---|
| 3420 | xtstd = xtstd + clock() - to; |
---|
| 3421 | |
---|
[0001f9] | 3422 | /* change the ring to oldRing */ |
---|
[fc5095] | 3423 | rChangeCurrRing(oldRing); |
---|
[0001f9] | 3424 | |
---|
[e94918] | 3425 | M1 = idrMoveR(M, newRing,currRing); |
---|
| 3426 | Gomega2 = idrMoveR(Gomega1, newRing,currRing); |
---|
[0001f9] | 3427 | |
---|
[fc5095] | 3428 | to = clock(); |
---|
| 3429 | F = MLifttwoIdeal(Gomega2, M1, G); |
---|
| 3430 | xtlift = xtlift + clock() -to; |
---|
| 3431 | |
---|
[0001f9] | 3432 | idDelete(&M1); |
---|
| 3433 | idDelete(&Gomega2); |
---|
[fc5095] | 3434 | idDelete(&G); |
---|
| 3435 | |
---|
| 3436 | |
---|
[0001f9] | 3437 | /* change the ring to newRing */ |
---|
[fc5095] | 3438 | rChangeCurrRing(newRing); |
---|
[e94918] | 3439 | F1 = idrMoveR(F, oldRing,currRing); |
---|
[fc5095] | 3440 | |
---|
[0001f9] | 3441 | to = clock(); |
---|
| 3442 | /* reduce the Groebner basis <G> w.r.t. new ring */ |
---|
[fc5095] | 3443 | G = kInterRedCC(F1, NULL); |
---|
| 3444 | xtred = xtred + clock() -to; |
---|
| 3445 | |
---|
| 3446 | idDelete(&F1); |
---|
| 3447 | |
---|
| 3448 | if(endwalks == 1) |
---|
| 3449 | break; |
---|
| 3450 | |
---|
| 3451 | NEXT_STEP: |
---|
| 3452 | to = clock(); |
---|
| 3453 | /* compute a next weight vector */ |
---|
| 3454 | intvec* next_weight = MkInterRedNextWeight(curr_weight,target_weight, G); |
---|
| 3455 | xtnw = xtnw + clock() - to; |
---|
| 3456 | |
---|
[0001f9] | 3457 | #ifdef PRINT_VECTORS |
---|
[fc5095] | 3458 | MivString(curr_weight, target_weight, next_weight); |
---|
| 3459 | #endif |
---|
| 3460 | |
---|
[0001f9] | 3461 | /*check whether the computed vector does in the correct cone */ |
---|
[fc5095] | 3462 | //ntwC = test_w_in_ConeCC(G, next_weight); |
---|
| 3463 | //if(ntwC != 1) |
---|
| 3464 | if(Overflow_Error == TRUE) |
---|
| 3465 | { |
---|
| 3466 | PrintS("\n// ** The computed vector does NOT stay in Cone!!\n"); |
---|
| 3467 | nnwinC = 0; |
---|
| 3468 | if(tp_deg == nV) |
---|
| 3469 | nlast = 1; |
---|
| 3470 | delete next_weight; |
---|
| 3471 | break; |
---|
| 3472 | } |
---|
| 3473 | if(MivComp(next_weight, ivNull) == 1) |
---|
| 3474 | { |
---|
| 3475 | newRing = currRing; |
---|
| 3476 | delete next_weight; |
---|
| 3477 | break; |
---|
| 3478 | } |
---|
[0001f9] | 3479 | |
---|
[fc5095] | 3480 | if(MivComp(next_weight, target_weight) == 1) |
---|
| 3481 | { |
---|
| 3482 | if(tp_deg == nV) |
---|
| 3483 | endwalks = 1; |
---|
| 3484 | else { |
---|
| 3485 | G = REC_GB_Mwalk(G,curr_weight, orig_target_weight, tp_deg+1,nnwinC); |
---|
| 3486 | newRing = currRing; |
---|
| 3487 | delete next_weight; |
---|
| 3488 | break; |
---|
| 3489 | } |
---|
| 3490 | } |
---|
| 3491 | |
---|
| 3492 | /* 06.11.01 NOT Changed */ |
---|
| 3493 | for(i=nV-1; i>=0; i--) |
---|
| 3494 | (*curr_weight)[i] = (*next_weight)[i]; |
---|
| 3495 | |
---|
[0001f9] | 3496 | delete next_weight; |
---|
| 3497 | }//while |
---|
[fc5095] | 3498 | |
---|
| 3499 | delete ivNull; |
---|
| 3500 | |
---|
| 3501 | if(tp_deg != nV) |
---|
| 3502 | { |
---|
| 3503 | //28.07.03 |
---|
| 3504 | newRing = currRing; |
---|
[0001f9] | 3505 | |
---|
[e94918] | 3506 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 3507 | // DefRingParlp(); // |
---|
| 3508 | DefRingPar(orig_target_weight); |
---|
| 3509 | else |
---|
| 3510 | VMrDefault(orig_target_weight); |
---|
| 3511 | |
---|
| 3512 | |
---|
[e94918] | 3513 | F1 = idrMoveR(G, newRing,currRing); |
---|
[0001f9] | 3514 | |
---|
[fc5095] | 3515 | if(nnwinC == 0) |
---|
| 3516 | F1 = REC_GB_Mwalk(F1,curr_weight, orig_target_weight, tp_deg+1,nnwinC); |
---|
| 3517 | else |
---|
| 3518 | if(test_w_in_ConeCC(F1, target_weight) != 1) |
---|
| 3519 | F1 = REC_GB_Mwalk(F1,curr_weight, orig_target_weight,tp_deg+1,nnwinC); |
---|
[0001f9] | 3520 | |
---|
[fc5095] | 3521 | delete target_weight; |
---|
| 3522 | |
---|
| 3523 | TargetRing = currRing; |
---|
| 3524 | rChangeCurrRing(EXXRing); |
---|
[e94918] | 3525 | result = idrMoveR(F1, TargetRing,currRing); |
---|
[fc5095] | 3526 | } |
---|
| 3527 | else |
---|
| 3528 | { |
---|
| 3529 | if(nlast == 1) |
---|
[0001f9] | 3530 | { |
---|
[e94918] | 3531 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 3532 | DefRingPar(orig_target_weight); |
---|
| 3533 | else |
---|
| 3534 | VMrDefault(orig_target_weight); |
---|
| 3535 | |
---|
| 3536 | |
---|
| 3537 | KSTD_Finish: |
---|
| 3538 | if(isGB == FALSE) |
---|
[e94918] | 3539 | F1 = idrMoveR(G, newRing,currRing); |
---|
[fc5095] | 3540 | else |
---|
| 3541 | F1 = G; |
---|
| 3542 | to=clock(); |
---|
| 3543 | /* apply Buchberger alg to compute a red. GB of F1 */ |
---|
| 3544 | G = MstdCC(F1); |
---|
| 3545 | xtextra=clock()-to; |
---|
| 3546 | idDelete(&F1); |
---|
| 3547 | newRing = currRing; |
---|
| 3548 | } |
---|
[0001f9] | 3549 | |
---|
[fc5095] | 3550 | LastGB_Finish: |
---|
| 3551 | rChangeCurrRing(EXXRing); |
---|
[e94918] | 3552 | result = idrMoveR(G, newRing,currRing); |
---|
[0001f9] | 3553 | } |
---|
| 3554 | |
---|
[fc5095] | 3555 | if(Overflow_Error == FALSE) |
---|
| 3556 | Overflow_Error = nError; |
---|
[0001f9] | 3557 | |
---|
| 3558 | return(result); |
---|
[fc5095] | 3559 | } |
---|
| 3560 | |
---|
| 3561 | |
---|
| 3562 | /* 08.09.02 */ |
---|
| 3563 | /******** THE NEW GRÖBNER WALK ALGORITHM **********/ |
---|
[0001f9] | 3564 | /* Gröbnerwalk with a recursive "second" alternative GW, REC_GB_Mwalk |
---|
[fc5095] | 3565 | that only computes the last reduced GB */ |
---|
| 3566 | ideal Mwalk(ideal Go, intvec* curr_weight, intvec* target_weight) |
---|
| 3567 | { |
---|
| 3568 | Set_Error(FALSE); |
---|
| 3569 | Overflow_Error = FALSE; |
---|
| 3570 | //Print("// pSetm_Error = (%d)", ErrorCheck()); |
---|
| 3571 | |
---|
| 3572 | clock_t tinput, tostd, tif=0, tstd=0, tlift=0, tred=0, tnw=0; |
---|
| 3573 | xtif=0; xtstd=0; xtlift=0; xtred=0; xtnw=0; |
---|
| 3574 | tinput = clock(); |
---|
| 3575 | clock_t tim; |
---|
| 3576 | nstep=0; |
---|
| 3577 | int i, nV = currRing->N; |
---|
| 3578 | int nwalk=0, endwalks=0; |
---|
| 3579 | |
---|
| 3580 | ideal Gomega, M, F, Gomega1, Gomega2, M1, F1, G, G1; |
---|
| 3581 | ring endRing, newRing, oldRing; |
---|
| 3582 | intvec* ivNull = new intvec(nV); |
---|
| 3583 | intvec* exivlp = Mivlp(nV); |
---|
| 3584 | intvec* hilb_func; |
---|
| 3585 | |
---|
| 3586 | intvec* tmp_weight = new intvec(nV); |
---|
| 3587 | for(i=nV-1; i>=0; i--) |
---|
| 3588 | (*tmp_weight)[i] = (*curr_weight)[i]; |
---|
| 3589 | |
---|
| 3590 | /* to avoid (1,0,...,0) as the target vector */ |
---|
| 3591 | intvec* last_omega = new intvec(nV); |
---|
| 3592 | for(i=nV-1; i>0; i--) |
---|
| 3593 | (*last_omega)[i] = 1; |
---|
| 3594 | (*last_omega)[0] = 10000; |
---|
[0001f9] | 3595 | |
---|
[fc5095] | 3596 | ring XXRing = currRing; |
---|
| 3597 | |
---|
| 3598 | to = clock(); |
---|
| 3599 | /* the monomial ordering of this current ring would be "dp" */ |
---|
| 3600 | G = MstdCC(Go); |
---|
| 3601 | tostd = clock()-to; |
---|
| 3602 | |
---|
| 3603 | if(currRing->order[0] == ringorder_a) |
---|
| 3604 | goto NEXT_VECTOR; |
---|
[0001f9] | 3605 | |
---|
[fc5095] | 3606 | while(1) |
---|
[0001f9] | 3607 | { |
---|
[fc5095] | 3608 | nwalk ++; |
---|
| 3609 | nstep ++; |
---|
| 3610 | to = clock(); |
---|
| 3611 | /* compute an initial form ideal of <G> w.r.t. "curr_vector" */ |
---|
| 3612 | Gomega = MwalkInitialForm(G, curr_weight); |
---|
| 3613 | tif = tif + clock()-to; |
---|
| 3614 | oldRing = currRing; |
---|
| 3615 | |
---|
| 3616 | if(endwalks == 1) |
---|
| 3617 | { |
---|
| 3618 | /* compute a reduced Groebner basis of Gomega w.r.t. >>_cw by |
---|
| 3619 | the recursive changed perturbation walk alg. */ |
---|
| 3620 | tim = clock(); |
---|
| 3621 | /* |
---|
[0001f9] | 3622 | Print("\n// **** Gröbnerwalk took %d steps and ", nwalk); |
---|
| 3623 | PrintS("\n// **** call the rec. Pert. Walk to compute a red GB of:"); |
---|
| 3624 | idElements(Gomega, "G_omega"); |
---|
[fc5095] | 3625 | */ |
---|
| 3626 | |
---|
| 3627 | if(MivSame(exivlp, target_weight)==1) |
---|
[0001f9] | 3628 | M = REC_GB_Mwalk(idCopy(Gomega), tmp_weight, curr_weight, 2,1); |
---|
[fc5095] | 3629 | else |
---|
| 3630 | goto NORMAL_GW; |
---|
| 3631 | /* |
---|
[0001f9] | 3632 | Print("\n// time for the last std(Gw) = %.2f sec", |
---|
| 3633 | ((double) (clock()-tim)/1000000)); |
---|
| 3634 | PrintS("\n// ***************************************************\n"); |
---|
[fc5095] | 3635 | */ |
---|
[0001f9] | 3636 | #ifdef CHECK_IDEAL_MWALK |
---|
[fc5095] | 3637 | idElements(Gomega, "G_omega"); |
---|
| 3638 | headidString(Gomega, "Gw"); |
---|
| 3639 | idElements(M, "M"); |
---|
| 3640 | //headidString(M, "M"); |
---|
[0001f9] | 3641 | #endif |
---|
[fc5095] | 3642 | to = clock(); |
---|
| 3643 | F = MLifttwoIdeal(Gomega, M, G); |
---|
| 3644 | xtlift = xtlift + clock() - to; |
---|
| 3645 | |
---|
| 3646 | idDelete(&Gomega); |
---|
| 3647 | idDelete(&M); |
---|
| 3648 | idDelete(&G); |
---|
| 3649 | |
---|
| 3650 | oldRing = currRing; |
---|
| 3651 | |
---|
[0001f9] | 3652 | /* create a new ring newRing */ |
---|
[e94918] | 3653 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 3654 | DefRingPar(curr_weight); |
---|
| 3655 | else |
---|
| 3656 | VMrDefault(curr_weight); |
---|
| 3657 | |
---|
[0001f9] | 3658 | newRing = currRing; |
---|
[e94918] | 3659 | F1 = idrMoveR(F, oldRing,currRing); |
---|
[fc5095] | 3660 | } |
---|
| 3661 | else |
---|
| 3662 | { |
---|
| 3663 | NORMAL_GW: |
---|
| 3664 | #ifndef BUCHBERGER_ALG |
---|
| 3665 | if(isNolVector(curr_weight) == 0) |
---|
[0001f9] | 3666 | hilb_func = hFirstSeries(Gomega,NULL,NULL,curr_weight,currRing); |
---|
[fc5095] | 3667 | else |
---|
[0001f9] | 3668 | hilb_func = hFirstSeries(Gomega,NULL,NULL,last_omega,currRing); |
---|
[fc5095] | 3669 | #endif // BUCHBERGER_ALG |
---|
| 3670 | |
---|
| 3671 | /* define a new ring that its ordering is "(a(curr_weight),lp) */ |
---|
[e94918] | 3672 | if (rParameter(currRing) != NULL) |
---|
[0001f9] | 3673 | DefRingPar(curr_weight); |
---|
[fc5095] | 3674 | else |
---|
[0001f9] | 3675 | VMrDefault(curr_weight); |
---|
[fc5095] | 3676 | |
---|
[0001f9] | 3677 | newRing = currRing; |
---|
[e94918] | 3678 | Gomega1 = idrMoveR(Gomega, oldRing,currRing); |
---|
[0001f9] | 3679 | |
---|
[fc5095] | 3680 | to = clock(); |
---|
| 3681 | /* compute a reduced Groebner basis of <Gomega> w.r.t. "newRing" */ |
---|
| 3682 | #ifdef BUCHBERGER_ALG |
---|
| 3683 | M = MstdhomCC(Gomega1); |
---|
| 3684 | #else |
---|
| 3685 | M=kStd(Gomega1,NULL,isHomog,NULL,hilb_func,0,NULL,curr_weight); |
---|
[0001f9] | 3686 | delete hilb_func; |
---|
[fc5095] | 3687 | #endif // BUCHBERGER_ALG |
---|
| 3688 | tstd = tstd + clock() - to; |
---|
| 3689 | |
---|
[0001f9] | 3690 | /* change the ring to oldRing */ |
---|
[fc5095] | 3691 | rChangeCurrRing(oldRing); |
---|
[e94918] | 3692 | M1 = idrMoveR(M, newRing,currRing); |
---|
| 3693 | Gomega2 = idrMoveR(Gomega1, newRing,currRing); |
---|
[fc5095] | 3694 | |
---|
| 3695 | to = clock(); |
---|
| 3696 | /* compute a representation of the generators of submod (M) |
---|
[0001f9] | 3697 | with respect to those of mod (Gomega). |
---|
[fc5095] | 3698 | Gomega is a reduced Groebner basis w.r.t. the current ring */ |
---|
| 3699 | F = MLifttwoIdeal(Gomega2, M1, G); |
---|
| 3700 | tlift = tlift + clock() - to; |
---|
| 3701 | |
---|
[0001f9] | 3702 | idDelete(&M1); |
---|
| 3703 | idDelete(&Gomega2); |
---|
| 3704 | idDelete(&G); |
---|
[fc5095] | 3705 | |
---|
[0001f9] | 3706 | /* change the ring to newRing */ |
---|
[fc5095] | 3707 | rChangeCurrRing(newRing); |
---|
[e94918] | 3708 | F1 = idrMoveR(F, oldRing,currRing); |
---|
[fc5095] | 3709 | } |
---|
| 3710 | |
---|
| 3711 | to = clock(); |
---|
[0001f9] | 3712 | /* reduce the Groebner basis <G> w.r.t. new ring */ |
---|
[fc5095] | 3713 | G = kInterRedCC(F1, NULL); |
---|
| 3714 | if(endwalks != 1) |
---|
| 3715 | tred = tred + clock() - to; |
---|
| 3716 | else |
---|
| 3717 | xtred = xtred + clock() - to; |
---|
| 3718 | |
---|
| 3719 | idDelete(&F1); |
---|
| 3720 | if(endwalks == 1) |
---|
| 3721 | break; |
---|
[0001f9] | 3722 | |
---|
[fc5095] | 3723 | NEXT_VECTOR: |
---|
| 3724 | to = clock(); |
---|
| 3725 | /* compute a next weight vector */ |
---|
| 3726 | intvec* next_weight = MkInterRedNextWeight(curr_weight,target_weight,G); |
---|
| 3727 | tnw = tnw + clock() - to; |
---|
[0001f9] | 3728 | #ifdef PRINT_VECTORS |
---|
[fc5095] | 3729 | MivString(curr_weight, target_weight, next_weight); |
---|
| 3730 | #endif |
---|
| 3731 | |
---|
| 3732 | //if(test_w_in_ConeCC(G, next_weight) != 1) |
---|
| 3733 | if(Overflow_Error == TRUE) |
---|
| 3734 | { |
---|
| 3735 | newRing = currRing; |
---|
| 3736 | PrintS("\n// ** The computed vector does NOT stay in Cone!!\n"); |
---|
| 3737 | |
---|
[e94918] | 3738 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 3739 | DefRingPar(target_weight); |
---|
| 3740 | else |
---|
| 3741 | VMrDefault(target_weight); |
---|
[0001f9] | 3742 | |
---|
[e94918] | 3743 | F1 = idrMoveR(G, newRing,currRing); |
---|
[fc5095] | 3744 | G = MstdCC(F1); |
---|
| 3745 | idDelete(&F1); |
---|
[0001f9] | 3746 | |
---|
[fc5095] | 3747 | newRing = currRing; |
---|
| 3748 | break; |
---|
| 3749 | } |
---|
| 3750 | |
---|
| 3751 | if(MivComp(next_weight, ivNull) == 1) |
---|
| 3752 | { |
---|
| 3753 | newRing = currRing; |
---|
| 3754 | delete next_weight; |
---|
| 3755 | break; |
---|
| 3756 | } |
---|
| 3757 | if(MivComp(next_weight, target_weight) == 1) |
---|
| 3758 | endwalks = 1; |
---|
| 3759 | |
---|
| 3760 | for(i=nV-1; i>=0; i--) { |
---|
| 3761 | (*tmp_weight)[i] = (*curr_weight)[i]; |
---|
| 3762 | (*curr_weight)[i] = (*next_weight)[i]; |
---|
| 3763 | } |
---|
| 3764 | delete next_weight; |
---|
| 3765 | } |
---|
| 3766 | rChangeCurrRing(XXRing); |
---|
[e94918] | 3767 | G = idrMoveR(G, newRing,currRing); |
---|
[fc5095] | 3768 | |
---|
| 3769 | delete tmp_weight; |
---|
| 3770 | delete ivNull; |
---|
[0001f9] | 3771 | delete exivlp; |
---|
| 3772 | |
---|
[fc5095] | 3773 | #ifdef TIME_TEST |
---|
| 3774 | TimeString(tinput, tostd, tif, tstd, tlift, tred, tnw, nstep); |
---|
| 3775 | |
---|
| 3776 | Print("\n// pSetm_Error = (%d)", ErrorCheck()); |
---|
| 3777 | Print("\n// Overflow_Error? (%d)\n", Overflow_Error); |
---|
| 3778 | #endif |
---|
| 3779 | return(G); |
---|
| 3780 | } |
---|
| 3781 | |
---|
| 3782 | /* 2.12.02*/ |
---|
| 3783 | ideal Mwalk_tst(ideal Go, intvec* curr_weight, intvec* target_weight) |
---|
| 3784 | { |
---|
| 3785 | clock_t tinput=clock(); |
---|
| 3786 | //idString(Go,"Ginp"); |
---|
| 3787 | int i, nV = currRing->N; |
---|
| 3788 | int nwalk=0, endwalks=0; |
---|
[0001f9] | 3789 | |
---|
[fc5095] | 3790 | ideal Gomega, M, F, Gomega1, Gomega2, M1, F1, G, G1; |
---|
| 3791 | ring endRing, newRing, oldRing; |
---|
| 3792 | intvec* ivNull = new intvec(nV); |
---|
| 3793 | ring XXRing = currRing; |
---|
| 3794 | |
---|
| 3795 | intvec* tmp_weight = new intvec(nV); |
---|
| 3796 | for(i=nV-1; i>=0; i--) |
---|
| 3797 | (*tmp_weight)[i] = (*curr_weight)[i]; |
---|
| 3798 | |
---|
| 3799 | /* the monomial ordering of this current ring would be "dp" */ |
---|
| 3800 | G = MstdCC(Go); |
---|
| 3801 | |
---|
| 3802 | intvec* hilb_func; |
---|
| 3803 | |
---|
| 3804 | /* to avoid (1,0,...,0) as the target vector */ |
---|
| 3805 | intvec* last_omega = new intvec(nV); |
---|
| 3806 | for(i=nV-1; i>0; i--) |
---|
| 3807 | (*last_omega)[i] = 1; |
---|
| 3808 | (*last_omega)[0] = 10000; |
---|
| 3809 | |
---|
| 3810 | while(1) |
---|
[0001f9] | 3811 | { |
---|
[fc5095] | 3812 | nwalk ++; |
---|
| 3813 | //Print("\n// Entering the %d-th step:", nwalk); |
---|
| 3814 | //Print("\n// ring r[%d] = %s;", nwalk, rString(currRing)); |
---|
[0001f9] | 3815 | idString(G,"G"); |
---|
[fc5095] | 3816 | /* compute an initial form ideal of <G> w.r.t. "curr_vector" */ |
---|
| 3817 | Gomega = MwalkInitialForm(G, curr_weight); |
---|
| 3818 | //ivString(curr_weight, "omega"); |
---|
[0001f9] | 3819 | idString(Gomega,"Gw"); |
---|
[fc5095] | 3820 | |
---|
| 3821 | #ifndef BUCHBERGER_ALG |
---|
| 3822 | if(isNolVector(curr_weight) == 0) |
---|
| 3823 | hilb_func = hFirstSeries(Gomega,NULL,NULL,curr_weight,currRing); |
---|
| 3824 | else |
---|
| 3825 | hilb_func = hFirstSeries(Gomega,NULL,NULL,last_omega,currRing); |
---|
| 3826 | #endif // BUCHBERGER_ALG |
---|
| 3827 | |
---|
| 3828 | |
---|
| 3829 | oldRing = currRing; |
---|
[0001f9] | 3830 | |
---|
[fc5095] | 3831 | /* define a new ring that its ordering is "(a(curr_weight),lp) */ |
---|
| 3832 | VMrDefault(curr_weight); |
---|
[0001f9] | 3833 | newRing = currRing; |
---|
| 3834 | |
---|
[e94918] | 3835 | Gomega1 = idrMoveR(Gomega, oldRing,currRing); |
---|
[0001f9] | 3836 | |
---|
[fc5095] | 3837 | /* compute a reduced Groebner basis of <Gomega> w.r.t. "newRing" */ |
---|
| 3838 | #ifdef BUCHBERGER_ALG |
---|
| 3839 | M = MstdhomCC(Gomega1); |
---|
| 3840 | #else |
---|
| 3841 | M=kStd(Gomega1,NULL,isHomog,NULL,hilb_func,0,NULL,curr_weight); |
---|
[0001f9] | 3842 | delete hilb_func; |
---|
[fc5095] | 3843 | #endif // BUCHBERGER_ALG |
---|
| 3844 | |
---|
| 3845 | idString(M,"M"); |
---|
| 3846 | |
---|
[0001f9] | 3847 | /* change the ring to oldRing */ |
---|
[fc5095] | 3848 | rChangeCurrRing(oldRing); |
---|
[e94918] | 3849 | M1 = idrMoveR(M, newRing,currRing); |
---|
| 3850 | Gomega2 = idrMoveR(Gomega1, newRing,currRing); |
---|
[fc5095] | 3851 | |
---|
| 3852 | /* compute a representation of the generators of submod (M) |
---|
[0001f9] | 3853 | with respect to those of mod (Gomega). |
---|
| 3854 | Gomega is a reduced Groebner basis w.r.t. the current ring */ |
---|
[fc5095] | 3855 | F = MLifttwoIdeal(Gomega2, M1, G); |
---|
[0001f9] | 3856 | idDelete(&M1); |
---|
| 3857 | idDelete(&Gomega2); |
---|
| 3858 | idDelete(&G); |
---|
[fc5095] | 3859 | idString(F,"F"); |
---|
[0001f9] | 3860 | |
---|
| 3861 | /* change the ring to newRing */ |
---|
[fc5095] | 3862 | rChangeCurrRing(newRing); |
---|
[e94918] | 3863 | F1 = idrMoveR(F, oldRing,currRing); |
---|
[0001f9] | 3864 | |
---|
| 3865 | /* reduce the Groebner basis <G> w.r.t. new ring */ |
---|
[fc5095] | 3866 | G = kInterRedCC(F1, NULL); |
---|
| 3867 | //idSkipZeroes(G);//done by kInterRed |
---|
| 3868 | idDelete(&F1); |
---|
| 3869 | idString(G,"G"); |
---|
| 3870 | if(endwalks == 1) |
---|
| 3871 | break; |
---|
[0001f9] | 3872 | |
---|
[fc5095] | 3873 | /* compute a next weight vector */ |
---|
| 3874 | intvec* next_weight = MkInterRedNextWeight(curr_weight,target_weight,G); |
---|
[0001f9] | 3875 | #ifdef PRINT_VECTORS |
---|
[fc5095] | 3876 | MivString(curr_weight, target_weight, next_weight); |
---|
| 3877 | #endif |
---|
| 3878 | |
---|
| 3879 | if(MivComp(next_weight, ivNull) == 1) |
---|
| 3880 | { |
---|
| 3881 | delete next_weight; |
---|
| 3882 | break; |
---|
| 3883 | } |
---|
| 3884 | if(MivComp(next_weight, target_weight) == 1) |
---|
| 3885 | endwalks = 1; |
---|
| 3886 | |
---|
| 3887 | for(i=nV-1; i>=0; i--) |
---|
| 3888 | (*tmp_weight)[i] = (*curr_weight)[i]; |
---|
| 3889 | |
---|
| 3890 | /* 06.11.01 to free the memory: NOT Changed!!*/ |
---|
| 3891 | for(i=nV-1; i>=0; i--) |
---|
| 3892 | (*curr_weight)[i] = (*next_weight)[i]; |
---|
| 3893 | delete next_weight; |
---|
| 3894 | } |
---|
| 3895 | rChangeCurrRing(XXRing); |
---|
[e94918] | 3896 | G = idrMoveR(G, newRing,currRing); |
---|
[fc5095] | 3897 | |
---|
| 3898 | delete tmp_weight; |
---|
| 3899 | delete ivNull; |
---|
| 3900 | PrintLn(); |
---|
| 3901 | return(G); |
---|
| 3902 | } |
---|
| 3903 | |
---|
| 3904 | |
---|
| 3905 | |
---|
| 3906 | /**************************************************************/ |
---|
| 3907 | /* Implementation of the perturbation walk algorithm */ |
---|
| 3908 | /**************************************************************/ |
---|
| 3909 | /* If the perturbed target weight vector or an intermediate weight vector |
---|
[0001f9] | 3910 | doesn't stay in the correct Groebner cone, we have only |
---|
| 3911 | a reduced Groebner basis for the given ideal with respect to |
---|
[fc5095] | 3912 | a monomial order which differs to the given order. |
---|
| 3913 | Then we have to compute the wanted reduced Groebner basis for it. |
---|
| 3914 | For this, we can use |
---|
| 3915 | 1) the improved Buchberger algorithm or |
---|
| 3916 | 2) the changed perturbation walk algorithm with a decreased degree. |
---|
| 3917 | */ |
---|
| 3918 | /* use kStd, if nP = 0, else call LastGB */ |
---|
| 3919 | ideal Mpwalk(ideal Go, int op_deg, int tp_deg,intvec* curr_weight, |
---|
[0001f9] | 3920 | intvec* target_weight, int nP) |
---|
| 3921 | { |
---|
[fc5095] | 3922 | Set_Error(FALSE ); |
---|
| 3923 | Overflow_Error = FALSE; |
---|
| 3924 | //Print("// pSetm_Error = (%d)", ErrorCheck()); |
---|
| 3925 | |
---|
| 3926 | clock_t tinput, tostd, tif=0, tstd=0, tlift=0, tred=0, tnw=0; |
---|
| 3927 | xtextra=0; |
---|
| 3928 | xtif=0; xtstd=0; xtlift=0; xtred=0; xtnw=0; |
---|
| 3929 | tinput = clock(); |
---|
| 3930 | |
---|
| 3931 | clock_t tim; |
---|
| 3932 | |
---|
| 3933 | nstep = 0; |
---|
| 3934 | int i, ntwC=1, ntestw=1, nV = currRing->N, op_tmp = op_deg; |
---|
| 3935 | int endwalks=0, nhilb=0, ntestomega=0; |
---|
[0001f9] | 3936 | |
---|
[fc5095] | 3937 | ideal Gomega, M, F, G, Gomega1, Gomega2, M1,F1,Eresult,ssG; |
---|
| 3938 | ring newRing, oldRing, TargetRing; |
---|
| 3939 | intvec* iv_M_dp; |
---|
| 3940 | intvec* iv_M_lp; |
---|
| 3941 | intvec* exivlp = Mivlp(nV); |
---|
| 3942 | intvec* orig_target = target_weight; |
---|
| 3943 | intvec* pert_target_vector = target_weight; |
---|
[0001f9] | 3944 | intvec* ivNull = new intvec(nV); |
---|
[fc5095] | 3945 | intvec* iv_dp = MivUnit(nV);// define (1,1,...,1) |
---|
| 3946 | intvec* cw_tmp = curr_weight; |
---|
| 3947 | intvec* hilb_func; |
---|
| 3948 | intvec* next_weight; |
---|
| 3949 | intvec* extra_curr_weight = new intvec(nV); |
---|
[0001f9] | 3950 | |
---|
[fc5095] | 3951 | /* to avoid (1,0,...,0) as the target vector */ |
---|
| 3952 | intvec* last_omega = new intvec(nV); |
---|
| 3953 | for(i=nV-1; i>0; i--) |
---|
| 3954 | (*last_omega)[i] = 1; |
---|
| 3955 | (*last_omega)[0] = 10000; |
---|
[0001f9] | 3956 | |
---|
[fc5095] | 3957 | ring XXRing = currRing; |
---|
| 3958 | |
---|
| 3959 | |
---|
| 3960 | to = clock(); |
---|
| 3961 | /* perturbs the original vector */ |
---|
| 3962 | if(MivComp(curr_weight, iv_dp) == 1) //rOrdStr(currRing) := "dp" |
---|
| 3963 | { |
---|
| 3964 | G = MstdCC(Go); |
---|
| 3965 | tostd = clock()-to; |
---|
| 3966 | if(op_deg != 1){ |
---|
| 3967 | iv_M_dp = MivMatrixOrderdp(nV); |
---|
| 3968 | //ivString(iv_M_dp, "iv_M_dp"); |
---|
| 3969 | curr_weight = MPertVectors(G, iv_M_dp, op_deg); |
---|
| 3970 | } |
---|
[0001f9] | 3971 | } |
---|
[fc5095] | 3972 | else |
---|
| 3973 | { |
---|
[0001f9] | 3974 | //ring order := (a(curr_weight),lp); |
---|
[e94918] | 3975 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 3976 | DefRingPar(curr_weight); |
---|
| 3977 | else |
---|
| 3978 | VMrDefault(curr_weight); |
---|
[0001f9] | 3979 | |
---|
[e94918] | 3980 | G = idrMoveR(Go, XXRing,currRing); |
---|
[fc5095] | 3981 | G = MstdCC(G); |
---|
| 3982 | tostd = clock()-to; |
---|
| 3983 | if(op_deg != 1){ |
---|
| 3984 | iv_M_dp = MivMatrixOrder(curr_weight); |
---|
| 3985 | curr_weight = MPertVectors(G, iv_M_dp, op_deg); |
---|
| 3986 | } |
---|
| 3987 | } |
---|
| 3988 | delete iv_dp; |
---|
| 3989 | if(op_deg != 1) delete iv_M_dp; |
---|
[0001f9] | 3990 | |
---|
[fc5095] | 3991 | ring HelpRing = currRing; |
---|
| 3992 | |
---|
| 3993 | /* perturbs the target weight vector */ |
---|
| 3994 | if(tp_deg > 1 && tp_deg <= nV) |
---|
| 3995 | { |
---|
[e94918] | 3996 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 3997 | DefRingPar(target_weight); |
---|
| 3998 | else |
---|
| 3999 | VMrDefault(target_weight); |
---|
| 4000 | |
---|
| 4001 | TargetRing = currRing; |
---|
[e94918] | 4002 | ssG = idrMoveR(G,HelpRing,currRing); |
---|
[fc5095] | 4003 | if(MivSame(target_weight, exivlp) == 1) |
---|
| 4004 | { |
---|
| 4005 | iv_M_lp = MivMatrixOrderlp(nV); |
---|
| 4006 | //ivString(iv_M_lp, "iv_M_lp"); |
---|
| 4007 | //target_weight = MPertVectorslp(ssG, iv_M_lp, tp_deg); |
---|
| 4008 | target_weight = MPertVectors(ssG, iv_M_lp, tp_deg); |
---|
| 4009 | } |
---|
| 4010 | else |
---|
| 4011 | { |
---|
| 4012 | iv_M_lp = MivMatrixOrder(target_weight); |
---|
| 4013 | //target_weight = MPertVectorslp(ssG, iv_M_lp, tp_deg); |
---|
[0001f9] | 4014 | target_weight = MPertVectors(ssG, iv_M_lp, tp_deg); |
---|
| 4015 | } |
---|
[fc5095] | 4016 | delete iv_M_lp; |
---|
| 4017 | pert_target_vector = target_weight; //vor 19. mai 2003//test 19 Junu 03 |
---|
| 4018 | rChangeCurrRing(HelpRing); |
---|
[e94918] | 4019 | G = idrMoveR(ssG, TargetRing,currRing); |
---|
[fc5095] | 4020 | } |
---|
| 4021 | /* |
---|
| 4022 | Print("\n// Perturbationwalkalg. vom Gradpaar (%d,%d):",op_deg,tp_deg); |
---|
| 4023 | ivString(curr_weight, "new sigma"); |
---|
| 4024 | ivString(target_weight, "new tau"); |
---|
| 4025 | */ |
---|
| 4026 | while(1) |
---|
[0001f9] | 4027 | { |
---|
[fc5095] | 4028 | nstep ++; |
---|
| 4029 | to = clock(); |
---|
[0001f9] | 4030 | /* compute an initial form ideal of <G> w.r.t. the weight vector |
---|
[fc5095] | 4031 | "curr_weight" */ |
---|
| 4032 | Gomega = MwalkInitialForm(G, curr_weight); |
---|
[0001f9] | 4033 | |
---|
[fc5095] | 4034 | |
---|
| 4035 | #ifdef ENDWALKS |
---|
[0001f9] | 4036 | if(endwalks == 1){ |
---|
| 4037 | Print("\n// ring r%d = %s;\n", nstep, rString(currRing)); |
---|
[fc5095] | 4038 | idElements(G, "G"); |
---|
| 4039 | // idElements(Gomega, "Gw"); |
---|
| 4040 | headidString(G, "G"); |
---|
| 4041 | //headidString(Gomega, "Gw"); |
---|
| 4042 | } |
---|
| 4043 | #endif |
---|
| 4044 | |
---|
| 4045 | tif = tif + clock()-to; |
---|
| 4046 | |
---|
| 4047 | #ifndef BUCHBERGER_ALG |
---|
| 4048 | if(isNolVector(curr_weight) == 0) |
---|
| 4049 | hilb_func = hFirstSeries(Gomega,NULL,NULL,curr_weight,currRing); |
---|
| 4050 | else |
---|
| 4051 | hilb_func = hFirstSeries(Gomega,NULL,NULL,last_omega,currRing); |
---|
| 4052 | #endif // BUCHBERGER_ALG |
---|
| 4053 | |
---|
| 4054 | oldRing = currRing; |
---|
| 4055 | |
---|
| 4056 | /* define a new ring that its ordering is "(a(curr_weight),lp) */ |
---|
[e94918] | 4057 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 4058 | DefRingPar(curr_weight); |
---|
| 4059 | else |
---|
| 4060 | VMrDefault(curr_weight); |
---|
| 4061 | |
---|
[0001f9] | 4062 | newRing = currRing; |
---|
[e94918] | 4063 | Gomega1 = idrMoveR(Gomega, oldRing,currRing); |
---|
[fc5095] | 4064 | |
---|
[0001f9] | 4065 | #ifdef ENDWALKS |
---|
[fc5095] | 4066 | if(endwalks==1) |
---|
| 4067 | { |
---|
| 4068 | Print("\n// ring r%d = %s;\n", nstep, rString(currRing)); |
---|
| 4069 | idElements(Gomega1, "Gw"); |
---|
[0001f9] | 4070 | headidString(Gomega1, "headGw"); |
---|
[fc5095] | 4071 | PrintS("\n// compute a rGB of Gw:\n"); |
---|
| 4072 | |
---|
[0001f9] | 4073 | #ifndef BUCHBERGER_ALG |
---|
[fc5095] | 4074 | ivString(hilb_func, "w"); |
---|
[0001f9] | 4075 | #endif |
---|
[fc5095] | 4076 | } |
---|
| 4077 | #endif |
---|
[0001f9] | 4078 | |
---|
[fc5095] | 4079 | tim = clock(); |
---|
| 4080 | to = clock(); |
---|
| 4081 | /* compute a reduced Groebner basis of <Gomega> w.r.t. "newRing" */ |
---|
| 4082 | #ifdef BUCHBERGER_ALG |
---|
| 4083 | M = MstdhomCC(Gomega1); |
---|
| 4084 | #else |
---|
| 4085 | M=kStd(Gomega1,NULL,isHomog,NULL,hilb_func,0,NULL,curr_weight); |
---|
[0001f9] | 4086 | delete hilb_func; |
---|
[fc5095] | 4087 | #endif // BUCHBERGER_ALG |
---|
| 4088 | |
---|
| 4089 | if(endwalks == 1){ |
---|
| 4090 | xtstd = xtstd+clock()-to; |
---|
[0001f9] | 4091 | #ifdef ENDWALKS |
---|
| 4092 | Print("\n// time for the last std(Gw) = %.2f sec\n", |
---|
[fc5095] | 4093 | ((double) clock())/1000000 -((double)tim) /1000000); |
---|
| 4094 | #endif |
---|
| 4095 | } |
---|
| 4096 | else |
---|
| 4097 | tstd=tstd+clock()-to; |
---|
| 4098 | |
---|
[0001f9] | 4099 | /* change the ring to oldRing */ |
---|
[fc5095] | 4100 | rChangeCurrRing(oldRing); |
---|
[e94918] | 4101 | M1 = idrMoveR(M, newRing,currRing); |
---|
| 4102 | Gomega2 = idrMoveR(Gomega1, newRing,currRing); |
---|
[0001f9] | 4103 | |
---|
[fc5095] | 4104 | //if(endwalks==1) PrintS("\n// Lifting is working:.."); |
---|
| 4105 | |
---|
| 4106 | to=clock(); |
---|
| 4107 | /* compute a representation of the generators of submod (M) |
---|
[0001f9] | 4108 | with respect to those of mod (Gomega). |
---|
[fc5095] | 4109 | Gomega is a reduced Groebner basis w.r.t. the current ring */ |
---|
| 4110 | F = MLifttwoIdeal(Gomega2, M1, G); |
---|
| 4111 | if(endwalks != 1) |
---|
| 4112 | tlift = tlift+clock()-to; |
---|
| 4113 | else |
---|
| 4114 | xtlift=clock()-to; |
---|
| 4115 | |
---|
[0001f9] | 4116 | idDelete(&M1); |
---|
| 4117 | idDelete(&Gomega2); |
---|
[fc5095] | 4118 | idDelete(&G); |
---|
| 4119 | |
---|
[0001f9] | 4120 | /* change the ring to newRing */ |
---|
[fc5095] | 4121 | rChangeCurrRing(newRing); |
---|
[e94918] | 4122 | F1 = idrMoveR(F, oldRing,currRing); |
---|
[fc5095] | 4123 | |
---|
| 4124 | //if(endwalks==1)PrintS("\n// InterRed is working now:"); |
---|
| 4125 | |
---|
| 4126 | to=clock(); |
---|
[0001f9] | 4127 | /* reduce the Groebner basis <G> w.r.t. new ring */ |
---|
[fc5095] | 4128 | G = kInterRedCC(F1, NULL); |
---|
| 4129 | if(endwalks != 1) |
---|
| 4130 | tred = tred+clock()-to; |
---|
| 4131 | else |
---|
| 4132 | xtred=clock()-to; |
---|
| 4133 | |
---|
| 4134 | idDelete(&F1); |
---|
[0001f9] | 4135 | |
---|
[fc5095] | 4136 | if(endwalks == 1) |
---|
| 4137 | break; |
---|
[0001f9] | 4138 | |
---|
[fc5095] | 4139 | to=clock(); |
---|
| 4140 | /* compute a next weight vector */ |
---|
| 4141 | next_weight = MkInterRedNextWeight(curr_weight,target_weight, G); |
---|
| 4142 | tnw=tnw+clock()-to; |
---|
[0001f9] | 4143 | #ifdef PRINT_VECTORS |
---|
[fc5095] | 4144 | MivString(curr_weight, target_weight, next_weight); |
---|
| 4145 | #endif |
---|
| 4146 | |
---|
| 4147 | if(Overflow_Error == TRUE) |
---|
| 4148 | { |
---|
| 4149 | ntwC = 0; |
---|
| 4150 | ntestomega = 1; |
---|
[0001f9] | 4151 | //Print("\n// ring r%d = %s;\n", nstep, rString(currRing)); |
---|
[fc5095] | 4152 | //idElements(G, "G"); |
---|
| 4153 | delete next_weight; |
---|
[0001f9] | 4154 | goto FINISH_160302; |
---|
[fc5095] | 4155 | } |
---|
| 4156 | if(MivComp(next_weight, ivNull) == 1){ |
---|
| 4157 | newRing = currRing; |
---|
| 4158 | delete next_weight;//16.03.02 |
---|
| 4159 | //Print("\n// ring r%d = %s;\n", nstep, rString(currRing)); |
---|
| 4160 | break; |
---|
| 4161 | } |
---|
| 4162 | if(MivComp(next_weight, target_weight) == 1) |
---|
| 4163 | endwalks = 1; |
---|
| 4164 | |
---|
[0001f9] | 4165 | for(i=nV-1; i>=0; i--) |
---|
[fc5095] | 4166 | (*curr_weight)[i] = (*next_weight)[i]; |
---|
[0001f9] | 4167 | |
---|
[fc5095] | 4168 | delete next_weight; |
---|
| 4169 | }//while |
---|
| 4170 | |
---|
| 4171 | if(tp_deg != 1) |
---|
| 4172 | { |
---|
| 4173 | FINISH_160302://16.03.02 |
---|
[0001f9] | 4174 | if(MivSame(orig_target, exivlp) == 1) |
---|
[e94918] | 4175 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 4176 | DefRingParlp(); |
---|
| 4177 | else |
---|
| 4178 | VMrDefaultlp(); |
---|
| 4179 | else |
---|
[e94918] | 4180 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 4181 | DefRingPar(orig_target); |
---|
| 4182 | else |
---|
| 4183 | VMrDefault(orig_target); |
---|
[0001f9] | 4184 | |
---|
[fc5095] | 4185 | TargetRing=currRing; |
---|
[e94918] | 4186 | F1 = idrMoveR(G, newRing,currRing); |
---|
[fc5095] | 4187 | #ifdef CHECK_IDEAL |
---|
| 4188 | headidString(G, "G"); |
---|
| 4189 | #endif |
---|
[0001f9] | 4190 | |
---|
[fc5095] | 4191 | |
---|
| 4192 | // check whether the pertubed target vector stays in the correct cone |
---|
| 4193 | if(ntwC != 0){ |
---|
| 4194 | ntestw = test_w_in_ConeCC(F1, pert_target_vector); |
---|
| 4195 | } |
---|
| 4196 | |
---|
| 4197 | if( ntestw != 1 || ntwC == 0) |
---|
| 4198 | { |
---|
| 4199 | /* |
---|
[0001f9] | 4200 | if(ntestw != 1){ |
---|
| 4201 | ivString(pert_target_vector, "tau"); |
---|
| 4202 | PrintS("\n// ** perturbed target vector doesn't stay in cone!!"); |
---|
| 4203 | Print("\n// ring r%d = %s;\n", nstep, rString(currRing)); |
---|
| 4204 | idElements(F1, "G"); |
---|
[fc5095] | 4205 | } |
---|
| 4206 | */ |
---|
| 4207 | /* LastGB is "better" than the kStd subroutine */ |
---|
| 4208 | to=clock(); |
---|
| 4209 | ideal eF1; |
---|
| 4210 | if(nP == 0 || tp_deg == 1 || MivSame(orig_target, exivlp) != 1){ |
---|
[0001f9] | 4211 | // PrintS("\n// ** calls \"std\" to compute a GB"); |
---|
[fc5095] | 4212 | eF1 = MstdCC(F1); |
---|
| 4213 | idDelete(&F1); |
---|
| 4214 | } |
---|
| 4215 | else { |
---|
[0001f9] | 4216 | // PrintS("\n// ** calls \"LastGB\" to compute a GB"); |
---|
| 4217 | rChangeCurrRing(newRing); |
---|
[e94918] | 4218 | ideal F2 = idrMoveR(F1, TargetRing,currRing); |
---|
[0001f9] | 4219 | eF1 = LastGB(F2, curr_weight, tp_deg-1); |
---|
| 4220 | F2=NULL; |
---|
[fc5095] | 4221 | } |
---|
| 4222 | xtextra=clock()-to; |
---|
| 4223 | ring exTargetRing = currRing; |
---|
| 4224 | |
---|
| 4225 | rChangeCurrRing(XXRing); |
---|
[e94918] | 4226 | Eresult = idrMoveR(eF1, exTargetRing,currRing); |
---|
[0001f9] | 4227 | } |
---|
[fc5095] | 4228 | else{ |
---|
| 4229 | rChangeCurrRing(XXRing); |
---|
[e94918] | 4230 | Eresult = idrMoveR(F1, TargetRing,currRing); |
---|
[fc5095] | 4231 | } |
---|
| 4232 | } |
---|
| 4233 | else { |
---|
| 4234 | rChangeCurrRing(XXRing); |
---|
[e94918] | 4235 | Eresult = idrMoveR(G, newRing,currRing); |
---|
[0001f9] | 4236 | } |
---|
[fc5095] | 4237 | delete ivNull; |
---|
| 4238 | if(tp_deg != 1) |
---|
| 4239 | delete target_weight; |
---|
| 4240 | |
---|
| 4241 | if(op_deg != 1 ) |
---|
| 4242 | delete curr_weight; |
---|
| 4243 | |
---|
| 4244 | delete exivlp; |
---|
| 4245 | delete last_omega; |
---|
| 4246 | |
---|
| 4247 | #ifdef TIME_TEST |
---|
[0001f9] | 4248 | TimeStringFractal(tinput, tostd, tif+xtif, tstd+xtstd,0, tlift+xtlift, tred+xtred, |
---|
| 4249 | tnw+xtnw); |
---|
[fc5095] | 4250 | |
---|
| 4251 | Print("\n// pSetm_Error = (%d)", ErrorCheck()); |
---|
| 4252 | Print("\n// It took %d steps and Overflow_Error? (%d)\n", nstep, Overflow_Error); |
---|
| 4253 | #endif |
---|
[0001f9] | 4254 | return(Eresult); |
---|
[fc5095] | 4255 | } |
---|
| 4256 | |
---|
| 4257 | intvec* XivNull; |
---|
| 4258 | |
---|
| 4259 | /* define a matrix (1 ... 1) */ |
---|
| 4260 | intvec* MMatrixone(int nV) |
---|
| 4261 | { |
---|
| 4262 | int i,j; |
---|
| 4263 | intvec* ivM = new intvec(nV*nV); |
---|
[0001f9] | 4264 | |
---|
[fc5095] | 4265 | for(i=0; i<nV; i++) |
---|
| 4266 | for(j=0; j<nV; j++) |
---|
| 4267 | (*ivM)[i*nV + j] = 1; |
---|
[0001f9] | 4268 | |
---|
[fc5095] | 4269 | return(ivM); |
---|
| 4270 | } |
---|
| 4271 | |
---|
| 4272 | int nnflow; |
---|
| 4273 | int Xcall; |
---|
| 4274 | int Xngleich; |
---|
| 4275 | |
---|
| 4276 | /* 27.07.03 */ |
---|
| 4277 | /* Perturb the start weight vector at the top level, i.e. nlev = 1 */ |
---|
| 4278 | static ideal rec_fractal_call(ideal G, int nlev, intvec* omtmp) |
---|
| 4279 | { |
---|
| 4280 | Overflow_Error = FALSE; |
---|
| 4281 | //Print("\n\n// Entering the %d-th recursion:", nlev); |
---|
| 4282 | |
---|
| 4283 | int i, nV = currRing->N; |
---|
| 4284 | ring new_ring, testring, extoRing; |
---|
| 4285 | ideal Gomega, Gomega1, Gomega2, F, F1, Gresult, Gresult1, G1, Gt; |
---|
| 4286 | int nwalks = 0; |
---|
| 4287 | intvec* Mwlp; |
---|
| 4288 | intvec* hilb_func; |
---|
| 4289 | intvec* extXtau; |
---|
| 4290 | intvec* next_vect; |
---|
| 4291 | intvec* omega2 = new intvec(nV); |
---|
| 4292 | intvec* altomega = new intvec(nV); |
---|
| 4293 | |
---|
| 4294 | BOOLEAN isnewtarget = FALSE; |
---|
| 4295 | |
---|
| 4296 | /* to avoid (1,0,...,0) as the target vector (Hans) */ |
---|
| 4297 | intvec* last_omega = new intvec(nV); |
---|
| 4298 | for(i=nV-1; i>0; i--) |
---|
| 4299 | (*last_omega)[i] = 1; |
---|
| 4300 | (*last_omega)[0] = 10000; |
---|
| 4301 | |
---|
| 4302 | intvec* omega = new intvec(nV); |
---|
| 4303 | for(i=0; i<nV; i++) { |
---|
| 4304 | if(Xsigma->length() == nV) |
---|
| 4305 | (*omega)[i] = (*Xsigma)[i]; |
---|
| 4306 | else |
---|
| 4307 | (*omega)[i] = (*Xsigma)[(nV*(nlev-1))+i]; |
---|
| 4308 | |
---|
[0001f9] | 4309 | (*omega2)[i] = (*Xtau)[(nlev-1)*nV+i]; |
---|
[fc5095] | 4310 | } |
---|
[0001f9] | 4311 | |
---|
[fc5095] | 4312 | if(nlev == 1) Xcall = 1; |
---|
| 4313 | else Xcall = 0; |
---|
| 4314 | |
---|
| 4315 | ring oRing = currRing; |
---|
[0001f9] | 4316 | |
---|
[fc5095] | 4317 | while(1) |
---|
| 4318 | { |
---|
| 4319 | #ifdef FIRST_STEP_FRACTAL |
---|
[0001f9] | 4320 | // perturb the current weight vector only on the top level or |
---|
[fc5095] | 4321 | // after perturbation of the both vectors, nlev = 2 as the top level |
---|
| 4322 | if((nlev == 1 && Xcall == 0) || (nlev == 2 && Xngleich == 1)) |
---|
| 4323 | if(islengthpoly2(G) == 1) |
---|
| 4324 | { |
---|
[0001f9] | 4325 | Mwlp = MivWeightOrderlp(omega); |
---|
| 4326 | Xsigma = Mfpertvector(G, Mwlp); |
---|
| 4327 | delete Mwlp; |
---|
| 4328 | Overflow_Error = FALSE; |
---|
[fc5095] | 4329 | } |
---|
| 4330 | #endif |
---|
| 4331 | nwalks ++; |
---|
| 4332 | NEXT_VECTOR_FRACTAL: |
---|
| 4333 | to=clock(); |
---|
| 4334 | /* determine the next border */ |
---|
| 4335 | next_vect = MkInterRedNextWeight(omega,omega2,G); |
---|
| 4336 | xtnw=xtnw+clock()-to; |
---|
[0001f9] | 4337 | #ifdef PRINT_VECTORS |
---|
[fc5095] | 4338 | MivString(omega, omega2, next_vect); |
---|
| 4339 | #endif |
---|
| 4340 | oRing = currRing; |
---|
[0001f9] | 4341 | |
---|
[fc5095] | 4342 | /* We only perturb the current target vector at the recursion level 1 */ |
---|
[0001f9] | 4343 | if(Xngleich == 0 && nlev == 1) //(ngleich == 0) important, e.g. ex2, ex3 |
---|
| 4344 | if (MivComp(next_vect, omega2) == 1) |
---|
[fc5095] | 4345 | { |
---|
| 4346 | /* to dispense with taking initial (and lifting/interreducing |
---|
| 4347 | after the call of recursion */ |
---|
| 4348 | //Print("\n\n// ** Perturb the both vectors with degree %d with",nlev); |
---|
[0001f9] | 4349 | //idElements(G, "G"); |
---|
[fc5095] | 4350 | |
---|
| 4351 | Xngleich = 1; |
---|
| 4352 | nlev +=1; |
---|
| 4353 | |
---|
[e94918] | 4354 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 4355 | DefRingPar(omtmp); |
---|
[0001f9] | 4356 | else |
---|
[fc5095] | 4357 | VMrDefault(omtmp); |
---|
| 4358 | |
---|
| 4359 | testring = currRing; |
---|
[e94918] | 4360 | Gt = idrMoveR(G, oRing,currRing); |
---|
[0001f9] | 4361 | |
---|
[fc5095] | 4362 | /* perturb the original target vector w.r.t. the current GB */ |
---|
[0001f9] | 4363 | delete Xtau; |
---|
[fc5095] | 4364 | Xtau = NewVectorlp(Gt); |
---|
[0001f9] | 4365 | |
---|
| 4366 | rChangeCurrRing(oRing); |
---|
[e94918] | 4367 | G = idrMoveR(Gt, testring,currRing); |
---|
[fc5095] | 4368 | |
---|
| 4369 | /* perturb the current vector w.r.t. the current GB */ |
---|
| 4370 | Mwlp = MivWeightOrderlp(omega); |
---|
| 4371 | Xsigma = Mfpertvector(G, Mwlp); |
---|
| 4372 | delete Mwlp; |
---|
[0001f9] | 4373 | |
---|
[fc5095] | 4374 | for(i=nV-1; i>=0; i--) { |
---|
| 4375 | (*omega2)[i] = (*Xtau)[nV+i]; |
---|
| 4376 | (*omega)[i] = (*Xsigma)[nV+i]; |
---|
| 4377 | } |
---|
[0001f9] | 4378 | |
---|
[fc5095] | 4379 | delete next_vect; |
---|
[0001f9] | 4380 | to=clock(); |
---|
[fc5095] | 4381 | |
---|
[0001f9] | 4382 | /* to avoid the value of Overflow_Error that occur in Mfpertvector*/ |
---|
| 4383 | Overflow_Error = FALSE; |
---|
[fc5095] | 4384 | |
---|
[0001f9] | 4385 | next_vect = MkInterRedNextWeight(omega,omega2,G); |
---|
| 4386 | xtnw=xtnw+clock()-to; |
---|
[fc5095] | 4387 | |
---|
[0001f9] | 4388 | #ifdef PRINT_VECTORS |
---|
[fc5095] | 4389 | MivString(omega, omega2, next_vect); |
---|
| 4390 | #endif |
---|
| 4391 | } |
---|
[0001f9] | 4392 | |
---|
| 4393 | |
---|
[fc5095] | 4394 | /* check whether the the computed vector is in the correct cone */ |
---|
[0001f9] | 4395 | /* If no, the reduced GB of an omega-homogeneous ideal will be |
---|
[fc5095] | 4396 | computed by Buchberger algorithm and stop this recursion step*/ |
---|
| 4397 | //if(test_w_in_ConeCC(G, next_vect) != 1) //e.g. Example s7, cyc6 |
---|
| 4398 | if(Overflow_Error == TRUE) |
---|
| 4399 | { |
---|
| 4400 | delete next_vect; |
---|
| 4401 | |
---|
| 4402 | OVERFLOW_IN_NEXT_VECTOR: |
---|
[e94918] | 4403 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 4404 | DefRingPar(omtmp); |
---|
| 4405 | else |
---|
| 4406 | VMrDefault(omtmp); |
---|
| 4407 | |
---|
| 4408 | #ifdef TEST_OVERFLOW |
---|
[e94918] | 4409 | Gt = idrMoveR(G, oRing,currRing); |
---|
[fc5095] | 4410 | Gt = NULL; return(Gt); |
---|
| 4411 | #endif |
---|
| 4412 | |
---|
| 4413 | //Print("\n\n// apply BB's alg. in ring r = %s;", rString(currRing)); |
---|
| 4414 | to=clock(); |
---|
[e94918] | 4415 | Gt = idrMoveR(G, oRing,currRing); |
---|
[fc5095] | 4416 | G1 = MstdCC(Gt); |
---|
| 4417 | xtextra=xtextra+clock()-to; |
---|
| 4418 | Gt = NULL; |
---|
| 4419 | |
---|
[0001f9] | 4420 | delete omega2; |
---|
| 4421 | delete altomega; |
---|
[fc5095] | 4422 | |
---|
| 4423 | //Print("\n// Leaving the %d-th recursion with %d steps", nlev, nwalks); |
---|
| 4424 | //Print(" ** Overflow_Error? (%d)", Overflow_Error); |
---|
| 4425 | nnflow ++; |
---|
[0001f9] | 4426 | |
---|
[fc5095] | 4427 | Overflow_Error = FALSE; |
---|
| 4428 | return (G1); |
---|
| 4429 | } |
---|
| 4430 | |
---|
[0001f9] | 4431 | |
---|
| 4432 | /* If the perturbed target vector stays in the correct cone, |
---|
[fc5095] | 4433 | return the current GB, |
---|
[0001f9] | 4434 | otherwise, return the computed GB by the Buchberger-algorithm. |
---|
| 4435 | Then we update the perturbed target vectors w.r.t. this GB. */ |
---|
| 4436 | |
---|
[fc5095] | 4437 | /* the computed vector is equal to the origin vector, since |
---|
| 4438 | t is not defined */ |
---|
[0001f9] | 4439 | if (MivComp(next_vect, XivNull) == 1) |
---|
[fc5095] | 4440 | { |
---|
[e94918] | 4441 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 4442 | DefRingPar(omtmp); |
---|
| 4443 | else |
---|
| 4444 | VMrDefault(omtmp); |
---|
| 4445 | |
---|
| 4446 | testring = currRing; |
---|
[e94918] | 4447 | Gt = idrMoveR(G, oRing,currRing); |
---|
[fc5095] | 4448 | |
---|
| 4449 | if(test_w_in_ConeCC(Gt, omega2) == 1) { |
---|
[0001f9] | 4450 | delete omega2; |
---|
[fc5095] | 4451 | delete next_vect; |
---|
| 4452 | delete altomega; |
---|
| 4453 | //Print("\n// Leaving the %d-th recursion with %d steps ",nlev, nwalks); |
---|
| 4454 | //Print(" ** Overflow_Error? (%d)", Overflow_Error); |
---|
[0001f9] | 4455 | |
---|
[fc5095] | 4456 | return (Gt); |
---|
| 4457 | } |
---|
| 4458 | else |
---|
| 4459 | { |
---|
| 4460 | //ivString(omega2, "tau'"); |
---|
| 4461 | //Print("\n// tau' doesn't stay in the correct cone!!"); |
---|
[0001f9] | 4462 | |
---|
[fc5095] | 4463 | #ifndef MSTDCC_FRACTAL |
---|
| 4464 | //07.08.03 |
---|
| 4465 | //ivString(Xtau, "old Xtau"); |
---|
| 4466 | intvec* Xtautmp = Mfpertvector(Gt, MivMatrixOrder(omtmp)); |
---|
| 4467 | #ifdef TEST_OVERFLOW |
---|
| 4468 | if(Overflow_Error == TRUE) |
---|
| 4469 | Gt = NULL; return(Gt); |
---|
| 4470 | #endif |
---|
| 4471 | |
---|
| 4472 | if(MivSame(Xtau, Xtautmp) == 1) |
---|
| 4473 | { |
---|
| 4474 | //PrintS("\n// Update vectors are equal to the old vectors!!"); |
---|
| 4475 | delete Xtautmp; |
---|
| 4476 | goto FRACTAL_MSTDCC; |
---|
| 4477 | } |
---|
| 4478 | |
---|
| 4479 | Xtau = Xtautmp; |
---|
| 4480 | Xtautmp = NULL; |
---|
[0001f9] | 4481 | //ivString(Xtau, "new Xtau"); |
---|
| 4482 | |
---|
| 4483 | for(i=nV-1; i>=0; i--) |
---|
[fc5095] | 4484 | (*omega2)[i] = (*Xtau)[(nlev-1)*nV+i]; |
---|
[0001f9] | 4485 | |
---|
[fc5095] | 4486 | //Print("\n// ring tau = %s;", rString(currRing)); |
---|
| 4487 | rChangeCurrRing(oRing); |
---|
[e94918] | 4488 | G = idrMoveR(Gt, testring,currRing); |
---|
[fc5095] | 4489 | |
---|
| 4490 | goto NEXT_VECTOR_FRACTAL; |
---|
| 4491 | #endif |
---|
| 4492 | |
---|
| 4493 | FRACTAL_MSTDCC: |
---|
| 4494 | //Print("\n// apply BB-Alg in ring = %s;", rString(currRing)); |
---|
| 4495 | to=clock(); |
---|
| 4496 | G = MstdCC(Gt); |
---|
[0001f9] | 4497 | xtextra=xtextra+clock()-to; |
---|
[fc5095] | 4498 | |
---|
[0001f9] | 4499 | oRing = currRing; |
---|
[fc5095] | 4500 | |
---|
[0001f9] | 4501 | // update the original target vector w.r.t. the current GB |
---|
[fc5095] | 4502 | if(MivSame(Xivinput, Xivlp) == 1) |
---|
[e94918] | 4503 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 4504 | DefRingParlp(); |
---|
| 4505 | else |
---|
| 4506 | VMrDefaultlp(); |
---|
| 4507 | else |
---|
[e94918] | 4508 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 4509 | DefRingPar(Xivinput); |
---|
| 4510 | else |
---|
| 4511 | VMrDefault(Xivinput); |
---|
| 4512 | |
---|
| 4513 | testring = currRing; |
---|
[e94918] | 4514 | Gt = idrMoveR(G, oRing,currRing); |
---|
[fc5095] | 4515 | |
---|
| 4516 | delete Xtau; |
---|
| 4517 | Xtau = NewVectorlp(Gt); |
---|
| 4518 | |
---|
| 4519 | rChangeCurrRing(oRing); |
---|
[e94918] | 4520 | G = idrMoveR(Gt, testring,currRing); |
---|
[0001f9] | 4521 | |
---|
| 4522 | delete omega2; |
---|
[fc5095] | 4523 | delete next_vect; |
---|
[0001f9] | 4524 | delete altomega; |
---|
| 4525 | /* |
---|
| 4526 | Print("\n// Leaving the %d-th recursion with %d steps,", nlev,nwalks); |
---|
| 4527 | Print(" ** Overflow_Error? (%d)", Overflow_Error); |
---|
| 4528 | */ |
---|
[fc5095] | 4529 | if(Overflow_Error == TRUE) |
---|
| 4530 | nnflow ++; |
---|
| 4531 | |
---|
| 4532 | Overflow_Error = FALSE; |
---|
| 4533 | return(G); |
---|
| 4534 | } |
---|
[0001f9] | 4535 | } |
---|
[fc5095] | 4536 | |
---|
[0001f9] | 4537 | for(i=nV-1; i>=0; i--) { |
---|
[fc5095] | 4538 | (*altomega)[i] = (*omega)[i]; |
---|
| 4539 | (*omega)[i] = (*next_vect)[i]; |
---|
| 4540 | } |
---|
| 4541 | delete next_vect; |
---|
| 4542 | |
---|
| 4543 | to=clock(); |
---|
| 4544 | /* Take the initial form of <G> w.r.t. omega */ |
---|
| 4545 | Gomega = MwalkInitialForm(G, omega); |
---|
| 4546 | xtif=xtif+clock()-to; |
---|
[0001f9] | 4547 | |
---|
[fc5095] | 4548 | #ifndef BUCHBERGER_ALG |
---|
| 4549 | if(isNolVector(omega) == 0) |
---|
| 4550 | hilb_func = hFirstSeries(Gomega,NULL,NULL,omega,currRing); |
---|
| 4551 | else |
---|
| 4552 | hilb_func = hFirstSeries(Gomega,NULL,NULL,last_omega,currRing); |
---|
| 4553 | #endif // BUCHBERGER_ALG |
---|
[0001f9] | 4554 | |
---|
[e94918] | 4555 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 4556 | DefRingPar(omega); |
---|
| 4557 | else |
---|
| 4558 | VMrDefault(omega); |
---|
| 4559 | |
---|
[e94918] | 4560 | Gomega1 = idrMoveR(Gomega, oRing,currRing); |
---|
[0001f9] | 4561 | |
---|
| 4562 | /* Maximal recursion depth, to compute a red. GB */ |
---|
[fc5095] | 4563 | /* Fractal walk with the alternative recursion */ |
---|
| 4564 | /* alternative recursion */ |
---|
| 4565 | // if(nlev == nV || lengthpoly(Gomega1) == 0) |
---|
| 4566 | if(nlev == Xnlev || lengthpoly(Gomega1) == 0) |
---|
| 4567 | //if(nlev == nV) // blind recursion |
---|
| 4568 | { |
---|
| 4569 | /* |
---|
[0001f9] | 4570 | if(Xnlev != nV) |
---|
| 4571 | { |
---|
| 4572 | Print("\n// ** Xnlev = %d", Xnlev); |
---|
| 4573 | ivString(Xtau, "Xtau"); |
---|
| 4574 | } |
---|
[fc5095] | 4575 | */ |
---|
| 4576 | to=clock(); |
---|
| 4577 | #ifdef BUCHBERGER_ALG |
---|
| 4578 | Gresult = MstdhomCC(Gomega1); |
---|
| 4579 | #else |
---|
| 4580 | Gresult =kStd(Gomega1,NULL,isHomog,NULL,hilb_func,0,NULL,omega); |
---|
[0001f9] | 4581 | delete hilb_func; |
---|
[fc5095] | 4582 | #endif // BUCHBERGER_ALG |
---|
| 4583 | xtstd=xtstd+clock()-to; |
---|
[0001f9] | 4584 | } |
---|
[fc5095] | 4585 | else { |
---|
| 4586 | rChangeCurrRing(oRing); |
---|
[e94918] | 4587 | Gomega1 = idrMoveR(Gomega1, oRing,currRing); |
---|
[fc5095] | 4588 | Gresult = rec_fractal_call(idCopy(Gomega1),nlev+1,omega); |
---|
| 4589 | } |
---|
| 4590 | |
---|
[0001f9] | 4591 | //convert a Groebner basis from a ring to another ring, |
---|
[fc5095] | 4592 | new_ring = currRing; |
---|
[0001f9] | 4593 | |
---|
| 4594 | rChangeCurrRing(oRing); |
---|
[e94918] | 4595 | Gresult1 = idrMoveR(Gresult, new_ring,currRing); |
---|
| 4596 | Gomega2 = idrMoveR(Gomega1, new_ring,currRing); |
---|
[0001f9] | 4597 | |
---|
[fc5095] | 4598 | to=clock(); |
---|
| 4599 | /* Lifting process */ |
---|
| 4600 | F = MLifttwoIdeal(Gomega2, Gresult1, G); |
---|
| 4601 | xtlift=xtlift+clock()-to; |
---|
[0001f9] | 4602 | idDelete(&Gresult1); |
---|
| 4603 | idDelete(&Gomega2); |
---|
[fc5095] | 4604 | idDelete(&G); |
---|
[0001f9] | 4605 | |
---|
[fc5095] | 4606 | rChangeCurrRing(new_ring); |
---|
[e94918] | 4607 | F1 = idrMoveR(F, oRing,currRing); |
---|
[fc5095] | 4608 | |
---|
| 4609 | to=clock(); |
---|
| 4610 | /* Interreduce G */ |
---|
| 4611 | G = kInterRedCC(F1, NULL); |
---|
| 4612 | xtred=xtred+clock()-to; |
---|
| 4613 | idDelete(&F1); |
---|
[0001f9] | 4614 | } |
---|
[fc5095] | 4615 | } |
---|
| 4616 | |
---|
| 4617 | ideal Mfwalk(ideal G, intvec* ivstart, intvec* ivtarget) |
---|
| 4618 | { |
---|
| 4619 | Set_Error(FALSE); |
---|
| 4620 | Overflow_Error = FALSE; |
---|
| 4621 | //Print("// pSetm_Error = (%d)", ErrorCheck()); |
---|
| 4622 | //Print("\n// ring ro = %s;", rString(currRing)); |
---|
[0001f9] | 4623 | |
---|
[fc5095] | 4624 | nnflow = 0; |
---|
| 4625 | Xngleich = 0; |
---|
| 4626 | Xcall = 0; |
---|
| 4627 | xtif=0; xtstd=0; xtlift=0; xtred=0; xtnw=0; xtextra=0; |
---|
| 4628 | xftinput = clock(); |
---|
[0001f9] | 4629 | |
---|
[fc5095] | 4630 | ring oldRing = currRing; |
---|
| 4631 | int i, nV = currRing->N; |
---|
| 4632 | XivNull = new intvec(nV); |
---|
| 4633 | Xivinput = ivtarget; |
---|
| 4634 | ngleich = 0; |
---|
| 4635 | to=clock(); |
---|
| 4636 | ideal I = MstdCC(G); |
---|
| 4637 | G = NULL; |
---|
| 4638 | xftostd=clock()-to; |
---|
| 4639 | Xsigma = ivstart; |
---|
| 4640 | |
---|
| 4641 | Xnlev=nV; |
---|
| 4642 | |
---|
| 4643 | #ifdef FIRST_STEP_FRACTAL |
---|
| 4644 | ideal Gw = MwalkInitialForm(I, ivstart); |
---|
| 4645 | for(i=IDELEMS(Gw)-1; i>=0; i--) |
---|
| 4646 | { |
---|
| 4647 | if((Gw->m[i]!=NULL) /* len >=0 */ |
---|
| 4648 | && (Gw->m[i]->next!=NULL) /* len >=1 */ |
---|
| 4649 | && (Gw->m[i]->next->next!=NULL)) /* len >=2 */ |
---|
[0001f9] | 4650 | { |
---|
[fc5095] | 4651 | intvec* iv_dp = MivUnit(nV);// define (1,1,...,1) |
---|
| 4652 | intvec* Mdp; |
---|
| 4653 | |
---|
| 4654 | if(MivSame(ivstart, iv_dp) != 1) |
---|
[0001f9] | 4655 | Mdp = MivWeightOrderdp(ivstart); |
---|
| 4656 | else |
---|
| 4657 | Mdp = MivMatrixOrderdp(nV); |
---|
[fc5095] | 4658 | |
---|
| 4659 | Xsigma = Mfpertvector(I, Mdp); |
---|
| 4660 | Overflow_Error = FALSE; |
---|
| 4661 | |
---|
| 4662 | delete Mdp; |
---|
| 4663 | delete iv_dp; |
---|
| 4664 | break; |
---|
| 4665 | } |
---|
| 4666 | } |
---|
| 4667 | idDelete(&Gw); |
---|
| 4668 | #endif |
---|
| 4669 | |
---|
| 4670 | ideal I1; |
---|
| 4671 | intvec* Mlp; |
---|
| 4672 | Xivlp = Mivlp(nV); |
---|
| 4673 | |
---|
[0001f9] | 4674 | if(MivComp(ivtarget, Xivlp) != 1) |
---|
[fc5095] | 4675 | { |
---|
[e94918] | 4676 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 4677 | DefRingPar(ivtarget); |
---|
| 4678 | else |
---|
| 4679 | VMrDefault(ivtarget); |
---|
| 4680 | |
---|
[e94918] | 4681 | I1 = idrMoveR(I, oldRing,currRing); |
---|
[fc5095] | 4682 | Mlp = MivWeightOrderlp(ivtarget); |
---|
| 4683 | Xtau = Mfpertvector(I1, Mlp); |
---|
| 4684 | } |
---|
| 4685 | else |
---|
| 4686 | { |
---|
[e94918] | 4687 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 4688 | DefRingParlp(); |
---|
| 4689 | else |
---|
| 4690 | VMrDefaultlp(); |
---|
| 4691 | |
---|
[e94918] | 4692 | I1 = idrMoveR(I, oldRing,currRing); |
---|
[fc5095] | 4693 | Mlp = MivMatrixOrderlp(nV); |
---|
| 4694 | Xtau = Mfpertvector(I1, Mlp); |
---|
| 4695 | } |
---|
| 4696 | delete Mlp; |
---|
| 4697 | Overflow_Error = FALSE; |
---|
| 4698 | |
---|
| 4699 | //ivString(Xsigma, "Xsigma"); |
---|
| 4700 | //ivString(Xtau, "Xtau"); |
---|
| 4701 | |
---|
| 4702 | id_Delete(&I, oldRing); |
---|
| 4703 | ring tRing = currRing; |
---|
[0001f9] | 4704 | |
---|
[e94918] | 4705 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 4706 | DefRingPar(ivstart); |
---|
| 4707 | else |
---|
| 4708 | VMrDefault(ivstart); |
---|
| 4709 | |
---|
[e94918] | 4710 | I = idrMoveR(I1,tRing,currRing); |
---|
[fc5095] | 4711 | to=clock(); |
---|
| 4712 | ideal J = MstdCC(I); |
---|
| 4713 | idDelete(&I); |
---|
| 4714 | xftostd=xftostd+clock()-to; |
---|
| 4715 | |
---|
| 4716 | ideal resF; |
---|
| 4717 | ring helpRing = currRing; |
---|
| 4718 | |
---|
[0001f9] | 4719 | J = rec_fractal_call(J, 1, ivtarget); |
---|
| 4720 | |
---|
| 4721 | rChangeCurrRing(oldRing); |
---|
[e94918] | 4722 | resF = idrMoveR(J, helpRing,currRing); |
---|
[fc5095] | 4723 | idSkipZeroes(resF); |
---|
| 4724 | |
---|
| 4725 | delete Xivlp; |
---|
| 4726 | delete Xsigma; |
---|
| 4727 | delete Xtau; |
---|
| 4728 | delete XivNull; |
---|
| 4729 | |
---|
| 4730 | #ifdef TIME_TEST |
---|
[0001f9] | 4731 | TimeStringFractal(xftinput, xftostd, xtif, xtstd, xtextra, |
---|
| 4732 | xtlift, xtred, xtnw); |
---|
[fc5095] | 4733 | |
---|
| 4734 | |
---|
| 4735 | Print("\n// pSetm_Error = (%d)", ErrorCheck()); |
---|
| 4736 | Print("\n// Overflow_Error? (%d)\n", Overflow_Error); |
---|
| 4737 | Print("\n// the numbers of Overflow_Error (%d)", nnflow); |
---|
[0001f9] | 4738 | #endif |
---|
| 4739 | |
---|
[fc5095] | 4740 | return(resF); |
---|
| 4741 | } |
---|
| 4742 | |
---|
| 4743 | /* Tran algorithm */ |
---|
| 4744 | /* use kStd, if nP = 0, else call Ab_Rec_Pert (LastGB) */ |
---|
| 4745 | ideal TranMImprovwalk(ideal G,intvec* curr_weight,intvec* target_tmp, int nP) |
---|
| 4746 | { |
---|
| 4747 | clock_t mtim = clock(); |
---|
| 4748 | Set_Error(FALSE ); |
---|
| 4749 | Overflow_Error = FALSE; |
---|
| 4750 | //Print("// pSetm_Error = (%d)", ErrorCheck()); |
---|
| 4751 | //Print("\n// ring ro = %s;", rString(currRing)); |
---|
| 4752 | |
---|
| 4753 | clock_t tostd, tif=0, tstd=0, tlift=0, tred=0, tnw=0, textra=0; |
---|
| 4754 | clock_t tinput = clock(); |
---|
| 4755 | |
---|
| 4756 | int nsteppert=0, i, nV = currRing->N, nwalk=0, npert_tmp=0; |
---|
[0001f9] | 4757 | int *npert=(int*)omAlloc(2*nV*sizeof(int)); |
---|
[fc5095] | 4758 | ideal Gomega, M,F, G1, Gomega1, Gomega2, M1, F1; |
---|
| 4759 | ring endRing, newRing, oldRing, lpRing; |
---|
| 4760 | intvec* next_weight; |
---|
| 4761 | intvec* ivNull = new intvec(nV); //define (0,...,0) |
---|
| 4762 | intvec* iv_dp = MivUnit(nV);// define (1,1,...,1) |
---|
| 4763 | intvec* iv_lp = Mivlp(nV); //define (1,0,...,0) |
---|
| 4764 | ideal H0, H1, H2, Glp; |
---|
| 4765 | int nGB, endwalks = 0, nwalkpert=0, npertstep=0; |
---|
| 4766 | intvec* Mlp = MivMatrixOrderlp(nV); |
---|
| 4767 | intvec* vector_tmp = new intvec(nV); |
---|
| 4768 | intvec* hilb_func; |
---|
| 4769 | |
---|
| 4770 | /* to avoid (1,0,...,0) as the target vector */ |
---|
| 4771 | intvec* last_omega = new intvec(nV); |
---|
| 4772 | for(i=nV-1; i>0; i--) |
---|
| 4773 | (*last_omega)[i] = 1; |
---|
| 4774 | (*last_omega)[0] = 10000; |
---|
| 4775 | |
---|
| 4776 | // intvec* extra_curr_weight = new intvec(nV); |
---|
| 4777 | intvec* target_weight = new intvec(nV); |
---|
| 4778 | for(i=nV-1; i>=0; i--) |
---|
| 4779 | (*target_weight)[i] = (*target_tmp)[i]; |
---|
[0001f9] | 4780 | |
---|
[fc5095] | 4781 | ring XXRing = currRing; |
---|
| 4782 | newRing = currRing; |
---|
| 4783 | |
---|
| 4784 | to=clock(); |
---|
| 4785 | /* compute a red. GB w.r.t. the help ring */ |
---|
| 4786 | if(MivComp(curr_weight, iv_dp) == 1) //rOrdStr(currRing) = "dp" |
---|
| 4787 | G = MstdCC(G); |
---|
| 4788 | else |
---|
| 4789 | { |
---|
| 4790 | //rOrdStr(currRing) = (a(.c_w..),lp,C) |
---|
[e94918] | 4791 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 4792 | DefRingPar(curr_weight); |
---|
| 4793 | else |
---|
| 4794 | VMrDefault(curr_weight); |
---|
[e94918] | 4795 | G = idrMoveR(G, XXRing,currRing); |
---|
[fc5095] | 4796 | G = MstdCC(G); |
---|
| 4797 | } |
---|
| 4798 | tostd=clock()-to; |
---|
| 4799 | |
---|
| 4800 | #ifdef REPRESENTATION_OF_SIGMA |
---|
| 4801 | ideal Gw = MwalkInitialForm(G, curr_weight); |
---|
[0001f9] | 4802 | |
---|
[fc5095] | 4803 | if(islengthpoly2(Gw)==1) |
---|
| 4804 | { |
---|
| 4805 | intvec* MDp; |
---|
| 4806 | if(MivComp(curr_weight, iv_dp) == 1) |
---|
[0001f9] | 4807 | MDp = MatrixOrderdp(nV); //MivWeightOrderlp(iv_dp); |
---|
[fc5095] | 4808 | else |
---|
| 4809 | MDp = MivWeightOrderlp(curr_weight); |
---|
[0001f9] | 4810 | |
---|
[fc5095] | 4811 | curr_weight = RepresentationMatrix_Dp(G, MDp); |
---|
| 4812 | |
---|
| 4813 | delete MDp; |
---|
| 4814 | |
---|
| 4815 | ring exring = currRing; |
---|
[0001f9] | 4816 | |
---|
[e94918] | 4817 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 4818 | DefRingPar(curr_weight); |
---|
[0001f9] | 4819 | else |
---|
[fc5095] | 4820 | VMrDefault(curr_weight); |
---|
| 4821 | to=clock(); |
---|
[e94918] | 4822 | Gw = idrMoveR(G, exring,currRing); |
---|
[0001f9] | 4823 | G = MstdCC(Gw); |
---|
[fc5095] | 4824 | Gw = NULL; |
---|
| 4825 | tostd=tostd+clock()-to; |
---|
| 4826 | //ivString(curr_weight,"rep. sigma"); |
---|
| 4827 | goto COMPUTE_NEW_VECTOR; |
---|
| 4828 | } |
---|
[0001f9] | 4829 | |
---|
[fc5095] | 4830 | idDelete(&Gw); |
---|
| 4831 | delete iv_dp; |
---|
| 4832 | #endif |
---|
| 4833 | |
---|
| 4834 | |
---|
| 4835 | while(1) |
---|
[0001f9] | 4836 | { |
---|
[fc5095] | 4837 | to=clock(); |
---|
| 4838 | /* compute an initial form ideal of <G> w.r.t. "curr_vector" */ |
---|
| 4839 | Gomega = MwalkInitialForm(G, curr_weight); |
---|
| 4840 | tif=tif+clock()-to; |
---|
| 4841 | |
---|
| 4842 | #ifndef BUCHBERGER_ALG |
---|
| 4843 | if(isNolVector(curr_weight) == 0) |
---|
| 4844 | hilb_func = hFirstSeries(Gomega,NULL,NULL,curr_weight,currRing); |
---|
| 4845 | else |
---|
| 4846 | hilb_func = hFirstSeries(Gomega,NULL,NULL,last_omega,currRing); |
---|
| 4847 | #endif // BUCHBERGER_ALG |
---|
| 4848 | |
---|
| 4849 | oldRing = currRing; |
---|
| 4850 | |
---|
| 4851 | /* define a new ring that its ordering is "(a(curr_weight),lp) */ |
---|
[e94918] | 4852 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 4853 | DefRingPar(curr_weight); |
---|
| 4854 | else |
---|
| 4855 | VMrDefault(curr_weight); |
---|
| 4856 | |
---|
[0001f9] | 4857 | newRing = currRing; |
---|
[e94918] | 4858 | Gomega1 = idrMoveR(Gomega, oldRing,currRing); |
---|
[0001f9] | 4859 | |
---|
[fc5095] | 4860 | to=clock(); |
---|
| 4861 | /* compute a reduced Groebner basis of <Gomega> w.r.t. "newRing" */ |
---|
| 4862 | #ifdef BUCHBERGER_ALG |
---|
| 4863 | M = MstdhomCC(Gomega1); |
---|
| 4864 | #else |
---|
| 4865 | M=kStd(Gomega1,NULL,isHomog,NULL,hilb_func,0,NULL,curr_weight); |
---|
[0001f9] | 4866 | delete hilb_func; |
---|
[fc5095] | 4867 | #endif // BUCHBERGER_ALG |
---|
| 4868 | tstd=tstd+clock()-to; |
---|
| 4869 | |
---|
[0001f9] | 4870 | /* change the ring to oldRing */ |
---|
[fc5095] | 4871 | rChangeCurrRing(oldRing); |
---|
[e94918] | 4872 | M1 = idrMoveR(M, newRing,currRing); |
---|
| 4873 | Gomega2 = idrMoveR(Gomega1, newRing,currRing); |
---|
[fc5095] | 4874 | |
---|
| 4875 | to=clock(); |
---|
| 4876 | /* compute a representation of the generators of submod (M) |
---|
[0001f9] | 4877 | with respect to those of mod (Gomega). |
---|
[fc5095] | 4878 | Gomega is a reduced Groebner basis w.r.t. the current ring */ |
---|
| 4879 | F = MLifttwoIdeal(Gomega2, M1, G); |
---|
| 4880 | tlift=tlift+clock()-to; |
---|
| 4881 | |
---|
[0001f9] | 4882 | idDelete(&M1); |
---|
| 4883 | idDelete(&Gomega2); |
---|
[fc5095] | 4884 | idDelete(&G); |
---|
[0001f9] | 4885 | |
---|
| 4886 | /* change the ring to newRing */ |
---|
[fc5095] | 4887 | rChangeCurrRing(newRing); |
---|
[e94918] | 4888 | F1 = idrMoveR(F, oldRing,currRing); |
---|
[fc5095] | 4889 | |
---|
| 4890 | to=clock(); |
---|
[0001f9] | 4891 | /* reduce the Groebner basis <G> w.r.t. new ring */ |
---|
[fc5095] | 4892 | G = kInterRedCC(F1, NULL); |
---|
| 4893 | tred=tred+clock()-to; |
---|
| 4894 | idDelete(&F1); |
---|
| 4895 | |
---|
[0001f9] | 4896 | |
---|
[fc5095] | 4897 | COMPUTE_NEW_VECTOR: |
---|
| 4898 | newRing = currRing; |
---|
| 4899 | nwalk++; |
---|
| 4900 | nwalkpert++; |
---|
| 4901 | to=clock(); |
---|
| 4902 | /* compute a next weight vector */ |
---|
| 4903 | next_weight = MwalkNextWeightCC(curr_weight,target_weight, G); |
---|
| 4904 | tnw=tnw+clock()-to; |
---|
[0001f9] | 4905 | #ifdef PRINT_VECTORS |
---|
[fc5095] | 4906 | MivString(curr_weight, target_weight, next_weight); |
---|
| 4907 | #endif |
---|
| 4908 | |
---|
[0001f9] | 4909 | |
---|
| 4910 | /* check whether the computed intermediate weight vector in |
---|
[fc5095] | 4911 | the correct cone is, since sometimes it is very big e.g. s7, cyc7. |
---|
[0001f9] | 4912 | If it is NOT in the cone, then one has directly to compute |
---|
[fc5095] | 4913 | a reduced Groebner basis with respect to the lexicographic ordering |
---|
| 4914 | for the known Groebner basis that it is computed in the last step. |
---|
| 4915 | */ |
---|
| 4916 | //if(test_w_in_ConeCC(G, next_weight) != 1) |
---|
| 4917 | if(Overflow_Error == TRUE) |
---|
| 4918 | { |
---|
| 4919 | OMEGA_OVERFLOW_TRAN_NEW: |
---|
| 4920 | //Print("\n// takes %d steps!", nwalk-1); |
---|
| 4921 | //Print("\n//ring lastRing = %s;", rString(currRing)); |
---|
| 4922 | #ifdef TEST_OVERFLOW |
---|
| 4923 | goto BE_FINISH; |
---|
| 4924 | #endif |
---|
| 4925 | |
---|
| 4926 | #ifdef CHECK_IDEAL_MWALK |
---|
| 4927 | idElements(G, "G"); |
---|
| 4928 | //headidString(G, "G"); |
---|
| 4929 | #endif |
---|
| 4930 | |
---|
| 4931 | if(MivSame(target_tmp, iv_lp) == 1) |
---|
[e94918] | 4932 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 4933 | DefRingParlp(); |
---|
| 4934 | else |
---|
| 4935 | VMrDefaultlp(); |
---|
| 4936 | else |
---|
[e94918] | 4937 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 4938 | DefRingPar(target_tmp); |
---|
| 4939 | else |
---|
| 4940 | VMrDefault(target_tmp); |
---|
| 4941 | |
---|
| 4942 | lpRing = currRing; |
---|
[e94918] | 4943 | G1 = idrMoveR(G, newRing,currRing); |
---|
[fc5095] | 4944 | |
---|
| 4945 | to=clock(); |
---|
| 4946 | /*apply kStd or LastGB to compute a lex. red. Groebner basis of <G>*/ |
---|
| 4947 | if(nP == 0 || MivSame(target_tmp, iv_lp) == 0){ |
---|
[0001f9] | 4948 | //Print("\n\n// calls \"std in ring r_%d = %s;", nwalk, rString(currRing)); |
---|
[fc5095] | 4949 | G = MstdCC(G1);//no result for qnt1 |
---|
| 4950 | } |
---|
| 4951 | else { |
---|
[0001f9] | 4952 | rChangeCurrRing(newRing); |
---|
[e94918] | 4953 | G1 = idrMoveR(G1, lpRing,currRing); |
---|
[0001f9] | 4954 | |
---|
| 4955 | //Print("\n\n// calls \"LastGB\" (%d) to compute a GB", nV-1); |
---|
| 4956 | G = LastGB(G1, curr_weight, nV-1); //no result for kats7 |
---|
| 4957 | |
---|
| 4958 | rChangeCurrRing(lpRing); |
---|
[e94918] | 4959 | G = idrMoveR(G, newRing,currRing); |
---|
[fc5095] | 4960 | } |
---|
| 4961 | textra=clock()-to; |
---|
| 4962 | npert[endwalks]=nwalk-npert_tmp; |
---|
| 4963 | npert_tmp = nwalk; |
---|
| 4964 | endwalks ++; |
---|
[0001f9] | 4965 | break; |
---|
| 4966 | } |
---|
| 4967 | |
---|
| 4968 | /* check whether the computed Groebner basis a really Groebner basis is. |
---|
| 4969 | if no, we perturb the target vector with the maximal "perturbation" |
---|
[fc5095] | 4970 | degree.*/ |
---|
[0001f9] | 4971 | if(MivComp(next_weight, target_weight) == 1 || |
---|
[fc5095] | 4972 | MivComp(next_weight, curr_weight) == 1 ) |
---|
[0001f9] | 4973 | { |
---|
[fc5095] | 4974 | //Print("\n//ring r_%d = %s;", nwalk, rString(currRing)); |
---|
| 4975 | |
---|
| 4976 | |
---|
| 4977 | //compute the number of perturbations and its step |
---|
| 4978 | npert[endwalks]=nwalk-npert_tmp; |
---|
| 4979 | npert_tmp = nwalk; |
---|
[0001f9] | 4980 | |
---|
[fc5095] | 4981 | endwalks ++; |
---|
| 4982 | |
---|
[0001f9] | 4983 | /*it is very important if the walk only uses one step, e.g. Fate, liu*/ |
---|
[fc5095] | 4984 | if(endwalks == 1 && MivComp(next_weight, curr_weight) == 1){ |
---|
| 4985 | rChangeCurrRing(XXRing); |
---|
[e94918] | 4986 | G = idrMoveR(G, newRing,currRing); |
---|
[fc5095] | 4987 | goto FINISH; |
---|
| 4988 | } |
---|
[7b15f9d] | 4989 | H0 = id_Head(G,currRing); |
---|
[fc5095] | 4990 | |
---|
| 4991 | if(MivSame(target_tmp, iv_lp) == 1) |
---|
[e94918] | 4992 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 4993 | DefRingParlp(); |
---|
| 4994 | else |
---|
| 4995 | VMrDefaultlp(); |
---|
| 4996 | else |
---|
[e94918] | 4997 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 4998 | DefRingPar(target_tmp); |
---|
| 4999 | else |
---|
| 5000 | VMrDefault(target_tmp); |
---|
[0001f9] | 5001 | |
---|
| 5002 | lpRing = currRing; |
---|
[e94918] | 5003 | Glp = idrMoveR(G, newRing,currRing); |
---|
| 5004 | H2 = idrMoveR(H0, newRing,currRing); |
---|
[0001f9] | 5005 | |
---|
[fc5095] | 5006 | /* Apply Lemma 2.2 in Collart et. al (1997) to check whether |
---|
| 5007 | cone(k-1) is equal to cone(k) */ |
---|
| 5008 | nGB = 1; |
---|
| 5009 | for(i=IDELEMS(Glp)-1; i>=0; i--) |
---|
| 5010 | { |
---|
| 5011 | poly t; |
---|
| 5012 | if((t=pSub(pHead(Glp->m[i]), pCopy(H2->m[i]))) != NULL) |
---|
[0001f9] | 5013 | { |
---|
[fc5095] | 5014 | pDelete(&t); |
---|
| 5015 | idDelete(&H2);//5.5.02 |
---|
| 5016 | nGB = 0; //i.e. Glp is no reduced Groebner basis |
---|
| 5017 | break; |
---|
| 5018 | } |
---|
| 5019 | pDelete(&t); |
---|
| 5020 | } |
---|
| 5021 | |
---|
| 5022 | idDelete(&H2);//5.5.02 |
---|
| 5023 | |
---|
| 5024 | if(nGB == 1) |
---|
[0001f9] | 5025 | { |
---|
[fc5095] | 5026 | G = Glp; |
---|
| 5027 | Glp = NULL; |
---|
| 5028 | break; |
---|
| 5029 | } |
---|
| 5030 | |
---|
| 5031 | /* perturb the target weight vector, if the vector target_tmp |
---|
| 5032 | stays in many cones */ |
---|
| 5033 | poly p; |
---|
| 5034 | BOOLEAN plength3 = FALSE; |
---|
| 5035 | for(i=IDELEMS(Glp)-1; i>=0; i--) |
---|
| 5036 | { |
---|
| 5037 | p = MpolyInitialForm(Glp->m[i], target_tmp); |
---|
| 5038 | if(p->next != NULL && |
---|
| 5039 | p->next->next != NULL && |
---|
| 5040 | p->next->next->next != NULL) |
---|
| 5041 | { |
---|
| 5042 | Overflow_Error = FALSE; |
---|
[0001f9] | 5043 | |
---|
| 5044 | for(i=0; i<nV; i++) |
---|
| 5045 | (*vector_tmp)[i] = (*target_weight)[i]; |
---|
| 5046 | |
---|
| 5047 | delete target_weight; |
---|
| 5048 | target_weight = MPertVectors(Glp, Mlp, nV); |
---|
| 5049 | |
---|
| 5050 | if(MivComp(vector_tmp, target_weight)==1) |
---|
| 5051 | { |
---|
| 5052 | //PrintS("\n// The old and new representaion vector are the same!!"); |
---|
| 5053 | G = Glp; |
---|
| 5054 | newRing = currRing; |
---|
| 5055 | goto OMEGA_OVERFLOW_TRAN_NEW; |
---|
| 5056 | } |
---|
| 5057 | |
---|
| 5058 | if(Overflow_Error == TRUE) |
---|
[fc5095] | 5059 | { |
---|
| 5060 | rChangeCurrRing(newRing); |
---|
[e94918] | 5061 | G = idrMoveR(Glp, lpRing,currRing); |
---|
[0001f9] | 5062 | goto OMEGA_OVERFLOW_TRAN_NEW; |
---|
[fc5095] | 5063 | } |
---|
[0001f9] | 5064 | |
---|
[fc5095] | 5065 | plength3 = TRUE; |
---|
| 5066 | pDelete(&p); |
---|
| 5067 | break; |
---|
| 5068 | } |
---|
| 5069 | pDelete(&p); |
---|
| 5070 | } |
---|
| 5071 | |
---|
| 5072 | if(plength3 == FALSE) |
---|
| 5073 | { |
---|
| 5074 | rChangeCurrRing(newRing); |
---|
[e94918] | 5075 | G = idrMoveR(Glp, lpRing,currRing); |
---|
[fc5095] | 5076 | goto TRAN_LIFTING; |
---|
| 5077 | } |
---|
[0001f9] | 5078 | |
---|
[fc5095] | 5079 | |
---|
| 5080 | npertstep = nwalk; |
---|
| 5081 | nwalkpert = 1; |
---|
| 5082 | nsteppert ++; |
---|
[0001f9] | 5083 | |
---|
[fc5095] | 5084 | /* |
---|
[0001f9] | 5085 | Print("\n// Subroutine needs (%d) steps.", nwalk); |
---|
| 5086 | idElements(Glp, "last G in walk:"); |
---|
[0ec43a] | 5087 | PrintS("\n// ****************************************"); |
---|
[fc5095] | 5088 | Print("\n// Perturb the original target vector (%d): ", nsteppert); |
---|
[0001f9] | 5089 | ivString(target_weight, "new target"); |
---|
[0ec43a] | 5090 | PrintS("\n// ****************************************\n"); |
---|
[fc5095] | 5091 | */ |
---|
| 5092 | rChangeCurrRing(newRing); |
---|
[e94918] | 5093 | G = idrMoveR(Glp, lpRing,currRing); |
---|
[fc5095] | 5094 | |
---|
| 5095 | delete next_weight; |
---|
[0001f9] | 5096 | |
---|
[fc5095] | 5097 | //Print("\n// ring rNEW = %s;", rString(currRing)); |
---|
| 5098 | goto COMPUTE_NEW_VECTOR; |
---|
| 5099 | } |
---|
| 5100 | |
---|
| 5101 | TRAN_LIFTING: |
---|
| 5102 | for(i=nV-1; i>=0; i--) |
---|
| 5103 | (*curr_weight)[i] = (*next_weight)[i]; |
---|
[0001f9] | 5104 | |
---|
[fc5095] | 5105 | delete next_weight; |
---|
| 5106 | }//while |
---|
| 5107 | |
---|
| 5108 | BE_FINISH: |
---|
| 5109 | rChangeCurrRing(XXRing); |
---|
[e94918] | 5110 | G = idrMoveR(G, lpRing,currRing); |
---|
[fc5095] | 5111 | |
---|
[0001f9] | 5112 | FINISH: |
---|
[fc5095] | 5113 | delete ivNull; |
---|
| 5114 | delete next_weight; |
---|
| 5115 | delete iv_lp; |
---|
[0001f9] | 5116 | omFree(npert); |
---|
[fc5095] | 5117 | |
---|
| 5118 | #ifdef TIME_TEST |
---|
[0001f9] | 5119 | Print("\n// Computation took %d steps and %.2f sec", |
---|
[fc5095] | 5120 | nwalk, ((double) (clock()-mtim)/1000000)); |
---|
| 5121 | |
---|
| 5122 | TimeStringFractal(tinput, tostd, tif, tstd, textra, tlift, tred, tnw); |
---|
| 5123 | |
---|
| 5124 | Print("\n// pSetm_Error = (%d)", ErrorCheck()); |
---|
| 5125 | Print("\n// Overflow_Error? (%d)\n", Overflow_Error); |
---|
| 5126 | #endif |
---|
| 5127 | |
---|
| 5128 | return(G); |
---|
| 5129 | } |
---|
| 5130 | |
---|
| 5131 | |
---|
| 5132 | /* compute the reduced Gröbner basis of an ideal <Go> w.r.t. lp */ |
---|
| 5133 | static ideal Mpwalk_MAltwalk1(ideal Go, intvec* curr_weight, int tp_deg) |
---|
| 5134 | { |
---|
| 5135 | Overflow_Error = FALSE; |
---|
| 5136 | BOOLEAN nOverflow_Error = FALSE; |
---|
| 5137 | clock_t tproc=0; |
---|
| 5138 | clock_t tinput=clock(); |
---|
| 5139 | int i, nV = currRing->N; |
---|
[0001f9] | 5140 | int nwalk=0, endwalks=0, ntestwinC=1; |
---|
[fc5095] | 5141 | int tp_deg_tmp = tp_deg; |
---|
| 5142 | ideal Gomega, M, F, G, M1, F1, Gomega1, Gomega2, G1; |
---|
| 5143 | ring endRing, newRing, oldRing, TargetRing; |
---|
| 5144 | intvec* next_weight; |
---|
[0001f9] | 5145 | intvec* ivNull = new intvec(nV); |
---|
[fc5095] | 5146 | intvec* extra_curr_weight = new intvec(nV); |
---|
| 5147 | |
---|
| 5148 | ring YXXRing = currRing; |
---|
[0001f9] | 5149 | |
---|
[fc5095] | 5150 | intvec* iv_M_dpp = MivMatrixOrderlp(nV); |
---|
| 5151 | intvec* target_weight;// = Mivlp(nV); |
---|
| 5152 | ideal ssG; |
---|
| 5153 | |
---|
| 5154 | /* perturb the target vector */ |
---|
| 5155 | while(1) |
---|
| 5156 | { |
---|
| 5157 | if(Overflow_Error == FALSE) |
---|
| 5158 | { |
---|
[e94918] | 5159 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 5160 | DefRingParlp(); |
---|
| 5161 | else |
---|
| 5162 | VMrDefaultlp(); |
---|
| 5163 | |
---|
| 5164 | TargetRing = currRing; |
---|
[e94918] | 5165 | ssG = idrMoveR(Go,YXXRing,currRing); |
---|
[fc5095] | 5166 | } |
---|
| 5167 | Overflow_Error = FALSE; |
---|
| 5168 | if(tp_deg != 1) |
---|
| 5169 | target_weight = MPertVectors(ssG, iv_M_dpp, tp_deg); |
---|
| 5170 | else |
---|
| 5171 | { |
---|
| 5172 | target_weight = Mivlp(nV); |
---|
| 5173 | break; |
---|
| 5174 | } |
---|
| 5175 | if(Overflow_Error == FALSE) |
---|
| 5176 | break; |
---|
[0001f9] | 5177 | |
---|
[fc5095] | 5178 | Overflow_Error = TRUE; |
---|
| 5179 | tp_deg --; |
---|
| 5180 | } |
---|
| 5181 | if(tp_deg != tp_deg_tmp) |
---|
| 5182 | { |
---|
| 5183 | Overflow_Error = TRUE; |
---|
| 5184 | nOverflow_Error = TRUE; |
---|
| 5185 | } |
---|
| 5186 | |
---|
| 5187 | // Print("\n// tp_deg = %d", tp_deg); |
---|
| 5188 | // ivString(target_weight, "pert target"); |
---|
[0001f9] | 5189 | |
---|
| 5190 | delete iv_M_dpp; |
---|
[fc5095] | 5191 | intvec* hilb_func; |
---|
| 5192 | |
---|
| 5193 | /* to avoid (1,0,...,0) as the target vector */ |
---|
| 5194 | intvec* last_omega = new intvec(nV); |
---|
| 5195 | for(i=nV-1; i>0; i--) |
---|
| 5196 | (*last_omega)[i] = 1; |
---|
| 5197 | (*last_omega)[0] = 10000; |
---|
| 5198 | |
---|
| 5199 | rChangeCurrRing(YXXRing); |
---|
[e94918] | 5200 | G = idrMoveR(ssG, TargetRing,currRing); |
---|
[fc5095] | 5201 | |
---|
| 5202 | while(1) |
---|
[0001f9] | 5203 | { |
---|
[fc5095] | 5204 | nwalk ++; |
---|
| 5205 | nstep ++; |
---|
| 5206 | |
---|
[0001f9] | 5207 | if(nwalk==1) |
---|
[fc5095] | 5208 | goto FIRST_STEP; |
---|
| 5209 | |
---|
| 5210 | to=clock(); |
---|
| 5211 | /* compute an initial form ideal of <G> w.r.t. "curr_vector" */ |
---|
| 5212 | Gomega = MwalkInitialForm(G, curr_weight); |
---|
| 5213 | xtif=xtif+clock()-to; |
---|
| 5214 | #if 0 |
---|
| 5215 | if(Overflow_Error == TRUE) |
---|
| 5216 | { |
---|
| 5217 | for(i=nV-1; i>=0; i--) |
---|
| 5218 | (*curr_weight)[i] = (*extra_curr_weight)[i]; |
---|
| 5219 | delete extra_curr_weight; |
---|
| 5220 | goto LASTGB_ALT1; |
---|
| 5221 | } |
---|
| 5222 | #endif |
---|
| 5223 | #ifndef BUCHBERGER_ALG |
---|
| 5224 | if(isNolVector(curr_weight) == 0) |
---|
| 5225 | hilb_func = hFirstSeries(Gomega,NULL,NULL,curr_weight,currRing); |
---|
| 5226 | else |
---|
| 5227 | hilb_func = hFirstSeries(Gomega,NULL,NULL,last_omega,currRing); |
---|
| 5228 | #endif // BUCHBERGER_ALG |
---|
| 5229 | |
---|
| 5230 | oldRing = currRing; |
---|
| 5231 | |
---|
| 5232 | /* define a new ring that its ordering is "(a(curr_weight),lp) */ |
---|
[e94918] | 5233 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 5234 | DefRingPar(curr_weight); |
---|
| 5235 | else |
---|
| 5236 | VMrDefault(curr_weight); |
---|
| 5237 | |
---|
[0001f9] | 5238 | newRing = currRing; |
---|
[e94918] | 5239 | Gomega1 = idrMoveR(Gomega, oldRing,currRing); |
---|
[0001f9] | 5240 | |
---|
| 5241 | #ifdef ENDWALKS |
---|
| 5242 | if(endwalks == 1) |
---|
| 5243 | { |
---|
| 5244 | Print("\n// it is %d-th step!!", nwalk); |
---|
| 5245 | idElements(Gomega1, "Gw"); |
---|
| 5246 | PrintS("\n// compute a rGB of Gw:"); |
---|
| 5247 | } |
---|
[fc5095] | 5248 | #endif |
---|
| 5249 | |
---|
| 5250 | to=clock(); |
---|
| 5251 | /* compute a reduced Groebner basis of <Gomega> w.r.t. "newRing" */ |
---|
| 5252 | #ifdef BUCHBERGER_ALG |
---|
| 5253 | M = MstdhomCC(Gomega1); |
---|
| 5254 | #else |
---|
| 5255 | M=kStd(Gomega1,NULL,isHomog,NULL,hilb_func,0,NULL,curr_weight); |
---|
[0001f9] | 5256 | delete hilb_func; |
---|
[fc5095] | 5257 | #endif // BUCHBERGER_ALG |
---|
| 5258 | xtstd=xtstd+clock()-to; |
---|
| 5259 | |
---|
| 5260 | /* change the ring to oldRing */ |
---|
| 5261 | rChangeCurrRing(oldRing); |
---|
[e94918] | 5262 | M1 = idrMoveR(M, newRing,currRing); |
---|
| 5263 | Gomega2 = idrMoveR(Gomega1, newRing,currRing); |
---|
[0001f9] | 5264 | to=clock(); |
---|
[fc5095] | 5265 | |
---|
| 5266 | // if(endwalks == 1) PrintS("\n// Lifting is still working:"); |
---|
| 5267 | |
---|
| 5268 | /* compute a reduced Groebner basis of <G> w.r.t. "newRing" by the |
---|
| 5269 | lifting process */ |
---|
| 5270 | F = MLifttwoIdeal(Gomega2, M1, G); |
---|
| 5271 | xtlift=xtlift+clock()-to; |
---|
| 5272 | |
---|
[0001f9] | 5273 | idDelete(&M1); |
---|
| 5274 | idDelete(&Gomega2); |
---|
[fc5095] | 5275 | idDelete(&G); |
---|
| 5276 | |
---|
[0001f9] | 5277 | /* change the ring to newRing */ |
---|
[fc5095] | 5278 | rChangeCurrRing(newRing); |
---|
[e94918] | 5279 | F1 = idrMoveR(F, oldRing,currRing); |
---|
[fc5095] | 5280 | to=clock(); |
---|
| 5281 | //if(endwalks == 1) PrintS("\n// InterRed is still working:"); |
---|
| 5282 | /* reduce the Groebner basis <G> w.r.t. the new ring */ |
---|
| 5283 | G = kInterRedCC(F1, NULL); |
---|
| 5284 | xtred=xtred+clock()-to; |
---|
[0001f9] | 5285 | idDelete(&F1); |
---|
[fc5095] | 5286 | |
---|
| 5287 | if(endwalks == 1) |
---|
| 5288 | break; |
---|
[0001f9] | 5289 | |
---|
[fc5095] | 5290 | FIRST_STEP: |
---|
| 5291 | Overflow_Error=FALSE; |
---|
| 5292 | to=clock(); |
---|
| 5293 | /* compute a next weight vector */ |
---|
| 5294 | next_weight = MkInterRedNextWeight(curr_weight,target_weight, G); |
---|
| 5295 | xtnw=xtnw+clock()-to; |
---|
[0001f9] | 5296 | #ifdef PRINT_VECTORS |
---|
[fc5095] | 5297 | MivString(curr_weight, target_weight, next_weight); |
---|
| 5298 | #endif |
---|
| 5299 | |
---|
| 5300 | if(Overflow_Error == TRUE) |
---|
| 5301 | { |
---|
| 5302 | delete next_weight; |
---|
| 5303 | |
---|
[0001f9] | 5304 | LASTGB_ALT1: |
---|
[fc5095] | 5305 | if(tp_deg > 1){ |
---|
[0001f9] | 5306 | nOverflow_Error = Overflow_Error; |
---|
| 5307 | tproc = tproc+clock()-tinput; |
---|
[fc5095] | 5308 | /* |
---|
[0001f9] | 5309 | Print("\n// A subroutine takes %d steps and calls \"Mpwalk\" (1,%d):", |
---|
| 5310 | nwalk, tp_deg-1); |
---|
| 5311 | */ |
---|
[fc5095] | 5312 | G1 = Mpwalk_MAltwalk1(G, curr_weight, tp_deg-1); |
---|
| 5313 | goto MPW_Finish; |
---|
| 5314 | } |
---|
| 5315 | else { |
---|
| 5316 | newRing = currRing; |
---|
| 5317 | ntestwinC = 0; |
---|
[0001f9] | 5318 | break; |
---|
[fc5095] | 5319 | } |
---|
| 5320 | } |
---|
| 5321 | |
---|
| 5322 | if(MivComp(next_weight, ivNull) == 1) |
---|
[0001f9] | 5323 | { |
---|
[fc5095] | 5324 | newRing = currRing; |
---|
| 5325 | delete next_weight; |
---|
| 5326 | break; |
---|
| 5327 | } |
---|
| 5328 | if(MivComp(next_weight, target_weight) == 1) |
---|
| 5329 | endwalks = 1; |
---|
| 5330 | |
---|
| 5331 | for(i=nV-1; i>=0; i--) |
---|
| 5332 | { |
---|
| 5333 | //(*extra_curr_weight)[i] = (*curr_weight)[i]; |
---|
| 5334 | (*curr_weight)[i] = (*next_weight)[i]; |
---|
| 5335 | } |
---|
| 5336 | delete next_weight; |
---|
| 5337 | }//while |
---|
| 5338 | |
---|
| 5339 | /* check wheather the pertubed target vector is correct */ |
---|
| 5340 | |
---|
| 5341 | //define and execute ring with lex. order |
---|
[e94918] | 5342 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 5343 | DefRingParlp(); |
---|
| 5344 | else |
---|
| 5345 | VMrDefaultlp(); |
---|
| 5346 | |
---|
[e94918] | 5347 | G1 = idrMoveR(G, newRing,currRing); |
---|
[fc5095] | 5348 | |
---|
| 5349 | if( test_w_in_ConeCC(G1, target_weight) != 1 || ntestwinC == 0) |
---|
| 5350 | { |
---|
| 5351 | PrintS("\n// The perturbed target vector doesn't STAY in the correct cone!!"); |
---|
[0001f9] | 5352 | if(tp_deg == 1){ |
---|
[fc5095] | 5353 | //Print("\n// subroutine takes %d steps and applys \"std\"", nwalk); |
---|
| 5354 | to=clock(); |
---|
| 5355 | ideal G2 = MstdCC(G1); |
---|
| 5356 | xtextra=xtextra+clock()-to; |
---|
| 5357 | idDelete(&G1); |
---|
| 5358 | G1 = G2; |
---|
| 5359 | G2 = NULL; |
---|
| 5360 | } |
---|
| 5361 | else { |
---|
| 5362 | nOverflow_Error = Overflow_Error; |
---|
| 5363 | tproc = tproc+clock()-tinput; |
---|
| 5364 | /* |
---|
[0001f9] | 5365 | Print("\n// B subroutine takes %d steps and calls \"Mpwalk\" (1,%d) :", |
---|
| 5366 | nwalk, tp_deg-1); |
---|
[fc5095] | 5367 | */ |
---|
| 5368 | G1 = Mpwalk_MAltwalk1(G1, curr_weight, tp_deg-1); |
---|
| 5369 | } |
---|
[0001f9] | 5370 | } |
---|
[fc5095] | 5371 | |
---|
| 5372 | MPW_Finish: |
---|
| 5373 | newRing = currRing; |
---|
| 5374 | rChangeCurrRing(YXXRing); |
---|
[e94918] | 5375 | ideal result = idrMoveR(G1, newRing,currRing); |
---|
[0001f9] | 5376 | |
---|
[fc5095] | 5377 | delete ivNull; |
---|
| 5378 | delete target_weight; |
---|
| 5379 | |
---|
| 5380 | /* |
---|
| 5381 | Print("\n// \"Mpwalk\" (1,%d) took %d steps and %.2f sec. Overflow_Error (%d)", tp_deg, |
---|
[0001f9] | 5382 | nwalk, ((double) clock()-tinput)/1000000, nOverflow_Error); |
---|
[fc5095] | 5383 | */ |
---|
| 5384 | |
---|
| 5385 | return(result); |
---|
| 5386 | } |
---|
| 5387 | |
---|
| 5388 | /* August 2003 */ |
---|
| 5389 | ideal MAltwalk1(ideal Go, int op_deg, int tp_deg, intvec* curr_weight, |
---|
| 5390 | intvec* target_weight) |
---|
| 5391 | { |
---|
| 5392 | Set_Error(FALSE ); |
---|
| 5393 | Overflow_Error = FALSE; |
---|
| 5394 | BOOLEAN nOverflow_Error = FALSE; |
---|
| 5395 | // Print("// pSetm_Error = (%d)", ErrorCheck()); |
---|
| 5396 | |
---|
| 5397 | xtif=0; xtstd=0; xtlift=0; xtred=0; xtnw=0; xtextra=0; |
---|
| 5398 | xftinput = clock(); |
---|
| 5399 | clock_t tostd, tproc; |
---|
| 5400 | |
---|
| 5401 | nstep = 0; |
---|
| 5402 | int i, nV = currRing->N; |
---|
| 5403 | int nwalk=0, endwalks=0; |
---|
[0001f9] | 5404 | int op_tmp = op_deg; |
---|
[fc5095] | 5405 | ideal Gomega, M, F, G, G1, Gomega1, Gomega2, M1, F1; |
---|
| 5406 | ring endRing, newRing, oldRing, TargetRing; |
---|
| 5407 | intvec* next_weight; |
---|
| 5408 | intvec* iv_M_dp; |
---|
[0001f9] | 5409 | intvec* ivNull = new intvec(nV); |
---|
[fc5095] | 5410 | intvec* iv_dp = MivUnit(nV);// define (1,1,...,1) |
---|
| 5411 | intvec* exivlp = Mivlp(nV); |
---|
| 5412 | intvec* extra_curr_weight = new intvec(nV); |
---|
| 5413 | intvec* hilb_func; |
---|
| 5414 | |
---|
| 5415 | intvec* cw_tmp = curr_weight; |
---|
| 5416 | |
---|
| 5417 | /* to avoid (1,0,...,0) as the target vector */ |
---|
| 5418 | intvec* last_omega = new intvec(nV); |
---|
| 5419 | for(i=nV-1; i>0; i--) |
---|
| 5420 | (*last_omega)[i] = 1; |
---|
| 5421 | (*last_omega)[0] = 10000; |
---|
[0001f9] | 5422 | |
---|
[fc5095] | 5423 | ring XXRing = currRing; |
---|
[0001f9] | 5424 | |
---|
[fc5095] | 5425 | to=clock(); |
---|
| 5426 | /* compute a pertubed weight vector of the original weight vector. |
---|
| 5427 | The perturbation degree is recursive decrease until that vector |
---|
| 5428 | stays inn the correct cone. */ |
---|
[0001f9] | 5429 | while(1) |
---|
[fc5095] | 5430 | { |
---|
| 5431 | if(Overflow_Error == FALSE) |
---|
| 5432 | { |
---|
| 5433 | if(MivComp(curr_weight, iv_dp) == 1) //rOrdStr(currRing) = "dp" |
---|
| 5434 | if(op_tmp == op_deg) { |
---|
| 5435 | G = MstdCC(Go); |
---|
| 5436 | if(op_deg != 1) |
---|
| 5437 | iv_M_dp = MivMatrixOrderdp(nV); |
---|
| 5438 | } |
---|
| 5439 | } |
---|
| 5440 | else |
---|
| 5441 | { |
---|
| 5442 | if(op_tmp == op_deg) { |
---|
| 5443 | //rOrdStr(currRing) = (a(...),lp,C) |
---|
[e94918] | 5444 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 5445 | DefRingPar(cw_tmp); |
---|
| 5446 | else |
---|
| 5447 | VMrDefault(cw_tmp); |
---|
[0001f9] | 5448 | |
---|
[e94918] | 5449 | G = idrMoveR(Go, XXRing,currRing); |
---|
[fc5095] | 5450 | G = MstdCC(G); |
---|
| 5451 | if(op_deg != 1) |
---|
| 5452 | iv_M_dp = MivMatrixOrder(cw_tmp); |
---|
| 5453 | } |
---|
| 5454 | } |
---|
| 5455 | Overflow_Error = FALSE; |
---|
| 5456 | if(op_deg != 1) |
---|
| 5457 | curr_weight = MPertVectors(G, iv_M_dp, op_deg); |
---|
| 5458 | else { |
---|
| 5459 | curr_weight = cw_tmp; |
---|
| 5460 | break; |
---|
| 5461 | } |
---|
| 5462 | if(Overflow_Error == FALSE) |
---|
| 5463 | break; |
---|
[0001f9] | 5464 | |
---|
[fc5095] | 5465 | Overflow_Error = TRUE; |
---|
| 5466 | op_deg --; |
---|
| 5467 | } |
---|
| 5468 | tostd=clock()-to; |
---|
| 5469 | |
---|
| 5470 | if(op_tmp != 1 ) |
---|
| 5471 | delete iv_M_dp; |
---|
| 5472 | delete iv_dp; |
---|
| 5473 | |
---|
| 5474 | if(currRing->order[0] == ringorder_a) |
---|
| 5475 | goto NEXT_VECTOR; |
---|
| 5476 | |
---|
| 5477 | while(1) |
---|
[0001f9] | 5478 | { |
---|
[fc5095] | 5479 | nwalk ++; |
---|
| 5480 | nstep ++; |
---|
| 5481 | |
---|
| 5482 | to = clock(); |
---|
| 5483 | /* compute an initial form ideal of <G> w.r.t. "curr_vector" */ |
---|
| 5484 | Gomega = MwalkInitialForm(G, curr_weight); |
---|
| 5485 | xtif=xtif+clock()-to; |
---|
| 5486 | #if 0 |
---|
| 5487 | if(Overflow_Error == TRUE) |
---|
| 5488 | { |
---|
| 5489 | for(i=nV-1; i>=0; i--) |
---|
| 5490 | (*curr_weight)[i] = (*extra_curr_weight)[i]; |
---|
| 5491 | delete extra_curr_weight; |
---|
[0001f9] | 5492 | |
---|
[fc5095] | 5493 | newRing = currRing; |
---|
| 5494 | goto MSTD_ALT1; |
---|
| 5495 | } |
---|
| 5496 | #endif |
---|
| 5497 | #ifndef BUCHBERGER_ALG |
---|
| 5498 | if(isNolVector(curr_weight) == 0) |
---|
| 5499 | hilb_func = hFirstSeries(Gomega,NULL,NULL,curr_weight,currRing); |
---|
| 5500 | else |
---|
| 5501 | hilb_func = hFirstSeries(Gomega,NULL,NULL,last_omega,currRing); |
---|
| 5502 | #endif // BUCHBERGER_ALG |
---|
| 5503 | |
---|
| 5504 | oldRing = currRing; |
---|
| 5505 | |
---|
| 5506 | /* define a new ring which ordering is "(a(curr_weight),lp) */ |
---|
[e94918] | 5507 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 5508 | DefRingPar(curr_weight); |
---|
| 5509 | else |
---|
| 5510 | VMrDefault(curr_weight); |
---|
| 5511 | |
---|
[0001f9] | 5512 | newRing = currRing; |
---|
[e94918] | 5513 | Gomega1 = idrMoveR(Gomega, oldRing,currRing); |
---|
[0001f9] | 5514 | |
---|
[fc5095] | 5515 | to=clock(); |
---|
| 5516 | /* compute a reduced Groebner basis of <Gomega> w.r.t. "newRing" */ |
---|
| 5517 | #ifdef BUCHBERGER_ALG |
---|
| 5518 | M = MstdhomCC(Gomega1); |
---|
| 5519 | #else |
---|
| 5520 | M=kStd(Gomega1,NULL,isHomog,NULL,hilb_func,0,NULL,curr_weight); |
---|
[0001f9] | 5521 | delete hilb_func; |
---|
[fc5095] | 5522 | #endif // BUCHBERGER_ALG |
---|
| 5523 | xtstd=xtstd+clock()-to; |
---|
| 5524 | |
---|
[0001f9] | 5525 | /* change the ring to oldRing */ |
---|
[fc5095] | 5526 | rChangeCurrRing(oldRing); |
---|
[e94918] | 5527 | M1 = idrMoveR(M, newRing,currRing); |
---|
| 5528 | Gomega2 = idrMoveR(Gomega1, newRing,currRing); |
---|
[fc5095] | 5529 | |
---|
| 5530 | to=clock(); |
---|
| 5531 | /* compute a reduced Groebner basis of <G> w.r.t. "newRing" by the |
---|
| 5532 | lifting process */ |
---|
| 5533 | F = MLifttwoIdeal(Gomega2, M1, G); |
---|
| 5534 | xtlift=xtlift+clock()-to; |
---|
| 5535 | |
---|
[0001f9] | 5536 | idDelete(&M1); |
---|
| 5537 | idDelete(&Gomega2); |
---|
| 5538 | idDelete(&G); |
---|
[fc5095] | 5539 | |
---|
[0001f9] | 5540 | /* change the ring to newRing */ |
---|
[fc5095] | 5541 | rChangeCurrRing(newRing); |
---|
[e94918] | 5542 | F1 = idrMoveR(F, oldRing,currRing); |
---|
[fc5095] | 5543 | |
---|
| 5544 | to=clock(); |
---|
[0001f9] | 5545 | /* reduce the Groebner basis <G> w.r.t. new ring */ |
---|
[fc5095] | 5546 | G = kInterRedCC(F1, NULL); |
---|
| 5547 | xtred=xtred+clock()-to; |
---|
| 5548 | idDelete(&F1); |
---|
| 5549 | |
---|
| 5550 | if(endwalks == 1) |
---|
| 5551 | break; |
---|
| 5552 | |
---|
| 5553 | NEXT_VECTOR: |
---|
| 5554 | to=clock(); |
---|
| 5555 | /* compute a next weight vector */ |
---|
| 5556 | next_weight = MkInterRedNextWeight(curr_weight,target_weight, G); |
---|
| 5557 | xtnw=xtnw+clock()-to; |
---|
[0001f9] | 5558 | #ifdef PRINT_VECTORS |
---|
[fc5095] | 5559 | MivString(curr_weight, target_weight, next_weight); |
---|
| 5560 | #endif |
---|
[0001f9] | 5561 | |
---|
[fc5095] | 5562 | if(Overflow_Error == TRUE) |
---|
| 5563 | { |
---|
| 5564 | newRing = currRing; |
---|
[0001f9] | 5565 | |
---|
[e94918] | 5566 | if (rParameter(currRing) != NULL) |
---|
[fc5095] | 5567 | DefRingPar(target_weight); |
---|
| 5568 | else |
---|
| 5569 | VMrDefault(target_weight); |
---|
| 5570 | |
---|
[e94918] | 5571 | F1 = idrMoveR(G, newRing,currRing); |
---|
[fc5095] | 5572 | G = MstdCC(F1); |
---|
| 5573 | idDelete(&F1); |
---|
| 5574 | newRing = currRing; |
---|
| 5575 | break; //for while |
---|
| 5576 | } |
---|
| 5577 | |
---|
| 5578 | |
---|
| 5579 | /* G is the wanted Groebner basis if next_weight == curr_weight */ |
---|
| 5580 | if(MivComp(next_weight, ivNull) == 1) |
---|
| 5581 | { |
---|
| 5582 | newRing = currRing; |
---|
| 5583 | delete next_weight; |
---|
| 5584 | break; //for while |
---|
| 5585 | } |
---|
| 5586 | |
---|
| 5587 | if(MivComp(next_weight, target_weight) == 1) |
---|
| 5588 | { |
---|
| 5589 | if(tp_deg == 1 || MivSame(target_weight, exivlp) == 0) |
---|
| 5590 | endwalks = 1; |
---|
| 5591 | else |
---|
| 5592 | { |
---|
| 5593 | MSTD_ALT1: |
---|
[0001f9] | 5594 | nOverflow_Error = Overflow_Error; |
---|
| 5595 | tproc = clock()-xftinput; |
---|
| 5596 | /* |
---|
| 5597 | Print("\n// main routine takes %d steps and calls \"Mpwalk\" (1,%d):", |
---|
| 5598 | nwalk, tp_deg); |
---|
| 5599 | */ |
---|
| 5600 | // compute the red. GB of <G> w.r.t. the lex order by |
---|
| 5601 | // the "recursive-modified" perturbation walk alg (1,tp_deg) |
---|
[fc5095] | 5602 | G = Mpwalk_MAltwalk1(G, curr_weight, tp_deg); |
---|
| 5603 | delete next_weight; |
---|
| 5604 | break; // for while |
---|
| 5605 | } |
---|
| 5606 | } |
---|
| 5607 | |
---|
| 5608 | /* 06.11.01 NOT Changed, to free memory*/ |
---|
| 5609 | for(i=nV-1; i>=0; i--) |
---|
| 5610 | { |
---|
| 5611 | //(*extra_curr_weight)[i] = (*curr_weight)[i]; |
---|
| 5612 | (*curr_weight)[i] = (*next_weight)[i]; |
---|
| 5613 | } |
---|
| 5614 | delete next_weight; |
---|
| 5615 | }//while |
---|
| 5616 | |
---|
| 5617 | rChangeCurrRing(XXRing); |
---|
[e94918] | 5618 | ideal result = idrMoveR(G, newRing,currRing); |
---|
[fc5095] | 5619 | id_Delete(&G, newRing); |
---|
| 5620 | |
---|
| 5621 | delete ivNull; |
---|
| 5622 | if(op_deg != 1 ) |
---|
| 5623 | delete curr_weight; |
---|
| 5624 | |
---|
| 5625 | delete exivlp; |
---|
| 5626 | #ifdef TIME_TEST |
---|
| 5627 | |
---|
[0001f9] | 5628 | Print("\n// \"Main procedure\" took %d steps, %.2f sec. and Overflow_Error(%d)", |
---|
| 5629 | nwalk, ((double) tproc)/1000000, nOverflow_Error); |
---|
[fc5095] | 5630 | |
---|
| 5631 | TimeStringFractal(xftinput, tostd, xtif, xtstd,xtextra, xtlift, xtred, xtnw); |
---|
| 5632 | |
---|
| 5633 | Print("\n// pSetm_Error = (%d)", ErrorCheck()); |
---|
| 5634 | Print("\n// Overflow_Error? (%d)", Overflow_Error); |
---|
| 5635 | Print("\n// Awalk1 took %d steps.\n", nstep); |
---|
[0001f9] | 5636 | #endif |
---|
[fc5095] | 5637 | return(result); |
---|
[a9a7be] | 5638 | } |
---|
[50cbdc] | 5639 | |
---|