| 1 | /***************************************** |
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| 2 | * Computer Algebra System SINGULAR * |
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| 3 | *****************************************/ |
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| 4 | /* |
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| 5 | * ABSTRACT: Declaration of the Groebner walk |
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| 6 | */ |
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| 7 | |
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| 8 | #ifndef WALK_H |
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| 9 | #define WALK_H |
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| 10 | |
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| 11 | #include <kernel/structs.h> |
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| 12 | |
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| 13 | ideal MwalkInitialForm(ideal G, intvec* curr_weight); |
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| 14 | |
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| 15 | //compute the next weight vector |
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| 16 | intvec* MwalkNextWeight(intvec* curr_weight,intvec* target_weight, ideal G); |
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| 17 | |
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| 18 | int MivSame(intvec* u , intvec* v); |
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| 19 | int M3ivSame(intvec* next_weight, intvec* u , intvec* v); |
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| 20 | |
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| 21 | |
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| 22 | |
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| 23 | intvec* Mivdp(int nR); |
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| 24 | intvec* Mivlp(int nR); |
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| 25 | |
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| 26 | intvec* MivMatrixOrder(intvec* iv); |
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| 27 | intvec* MivMatrixOrderdp(int iv); |
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| 28 | intvec* MPertVectors(ideal G, intvec* ivtarget, int pdeg); |
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| 29 | intvec* MPertVectorslp(ideal G, intvec* ivtarget, int pdeg); |
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| 30 | |
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| 31 | |
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| 32 | intvec* MivMatrixOrderlp(int nV); |
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| 33 | |
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| 34 | intvec* Mfpertvector(ideal G, intvec* iv); |
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| 35 | intvec* MivUnit(int nV); |
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| 36 | |
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| 37 | intvec* MivWeightOrderlp(intvec* ivstart); |
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| 38 | intvec* MivWeightOrderdp(intvec* ivstart); |
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| 39 | |
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| 40 | ideal MidLift(ideal Gomega, ideal M); |
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| 41 | ideal MLiftLmalG(ideal L, ideal G); |
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| 42 | ideal MLiftLmalGNew(ideal Gomega, ideal M, ideal G); |
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| 43 | ideal MLiftLmalGMin(ideal L, ideal G); |
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| 44 | |
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| 45 | |
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| 46 | intvec* MkInterRedNextWeight(intvec* iva, intvec* ivb, ideal G); |
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| 47 | intvec* MPertNextWeight(intvec* iva, ideal G, int deg); |
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| 48 | intvec* Mivperttarget(ideal G, int ndeg); |
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| 49 | |
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| 50 | |
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| 51 | intvec* MSimpleIV(intvec* iv); |
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| 52 | |
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| 53 | /* Okt -- Nov'01 */ |
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| 54 | // compute a Groebner basis of an ideal G w.r.t. lexicographic order |
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| 55 | ideal Mwalk(ideal G, intvec* curr_weight, intvec* target_weight); |
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| 56 | |
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| 57 | // random walk algorithm to compute a Groebner basis |
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| 58 | ideal Mrwalk(ideal Go, intvec* curr_weight, intvec* target_weight, int weight_rad, int pert_deg); |
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| 59 | |
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| 60 | /* the perturbation walk algorithm */ |
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| 61 | ideal Mpwalk(ideal G,int op,int tp,intvec* curr_weight,intvec* target_weight, int nP); |
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| 62 | |
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| 63 | /* The fractal walk algorithm */ |
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| 64 | ideal Mfwalk(ideal G, intvec* ivstart, intvec* ivtarget); |
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| 65 | |
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| 66 | /* The fractal walk algorithm with random element */ |
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| 67 | ideal Mfrwalk(ideal G, intvec* ivstart, intvec* ivtarget,int weight_rad); |
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| 68 | |
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| 69 | /* Implement Tran's idea */ |
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| 70 | intvec* TranMPertVectorslp(ideal G); |
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| 71 | ideal TranMImprovwalk(ideal Go, intvec* curr_weight,intvec* target_weight, int nP); |
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| 72 | |
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| 73 | /* Implement Tran's idea with random element*/ |
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| 74 | ideal TranMrImprovwalk(ideal G,intvec* curr_weight,intvec* target_tmp, int nP, int weight_rad, int pert_deg); |
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| 75 | |
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| 76 | /* the first alternative algorithm */ |
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| 77 | ideal MAltwalk1(ideal G,int op,int tp,intvec* curr_weight,intvec* target_weight); |
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| 78 | |
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| 79 | /* the second alternative algorithm */ |
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| 80 | ideal MAltwalk2(ideal G, intvec* curr_weight, intvec* target_weight); |
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| 81 | |
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| 82 | #endif //WALK_H |
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