| 1 | /**************************************** |
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| 2 | * Computer Algebra System SINGULAR * |
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| 3 | ****************************************/ |
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| 4 | /* $Id: f5gb.h,v 1.19 2009-01-30 17:25:04 ederc Exp $ */ |
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| 5 | /* |
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| 6 | * ABSTRACT: f5gb interface |
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| 7 | */ |
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| 8 | #ifndef F5_HEADER |
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| 9 | #define F5_HEADER |
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| 10 | |
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| 11 | #ifdef HAVE_F5 |
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| 12 | #include "f5data.h" |
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| 13 | #include "f5lists.h" |
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| 14 | |
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| 15 | |
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| 16 | /* |
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| 17 | ====================================================== |
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| 18 | sort polynomials in ideal i by decreasing total degree |
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| 19 | ====================================================== |
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| 20 | */ |
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| 21 | void qsort_degree(poly* left, poly* right); |
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| 22 | |
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| 23 | /* |
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| 24 | ============================================== |
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| 25 | generating the list lp of ideal generators and |
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| 26 | test if 1 is in lp(return 1) or not(return 0) |
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| 27 | ============================================== |
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| 28 | */ |
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| 29 | void generate_input_list(LPoly* lp, ideal id, poly one); |
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| 30 | |
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| 31 | /* |
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| 32 | ================================================== |
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| 33 | computes incrementally gbs of subsets of the input |
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| 34 | gb{f_m} -> gb{f_m,f_(m-1)} -> gb{f_m,...,f_1} |
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| 35 | ================================================== |
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| 36 | */ |
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| 37 | LList* F5inc(int* i, poly* f_i, LList* gPrev, poly* ONE, RList* rules, LTagList* lTag); |
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| 38 | |
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| 39 | /* |
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| 40 | ================================================================ |
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| 41 | computes a list of critical pairs for the next reduction process |
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| 42 | first element in gPrev is always the newest element which must |
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| 43 | build critical pairs with all other elements in gPrev |
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| 44 | ================================================================ |
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| 45 | */ |
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| 46 | CList* criticalPair(LList* gPrev, CList* critPairs, RList* rules, LTagList* lTag); |
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| 47 | |
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| 48 | /* |
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| 49 | ======================================== |
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| 50 | Criterion 1, i.e. Faugere's F5 Criterion |
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| 51 | ======================================== |
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| 52 | */ |
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| 53 | bool criterion1(poly* t, LNode* l, LTagList* lTag); |
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| 54 | |
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| 55 | /* |
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| 56 | ===================================== |
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| 57 | Criterion 2, i.e. Rewritten Criterion |
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| 58 | ===================================== |
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| 59 | */ |
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| 60 | bool criterion2(poly* t, LNode* l, RList* rules); |
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| 61 | |
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| 62 | /* |
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| 63 | ====================================== |
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| 64 | main function of our f5 implementation |
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| 65 | ====================================== |
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| 66 | */ |
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| 67 | ideal F5main(ideal i, ring r); |
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| 68 | |
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| 69 | #endif |
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| 70 | #endif |
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