1 | #ifndef SIMPLEIDEALS_H |
---|
2 | #define SIMPLEIDEALS_H |
---|
3 | /**************************************** |
---|
4 | * Computer Algebra System SINGULAR * |
---|
5 | ****************************************/ |
---|
6 | /* $Id$ */ |
---|
7 | /* |
---|
8 | * ABSTRACT - all basic methods to manipulate ideals |
---|
9 | */ |
---|
10 | #include <polys/monomials/ring.h> |
---|
11 | #include <omalloc/omalloc.h> |
---|
12 | |
---|
13 | struct sip_sideal |
---|
14 | { |
---|
15 | poly* m; |
---|
16 | long rank; |
---|
17 | int nrows; |
---|
18 | int ncols; |
---|
19 | #define IDELEMS(i) ((i)->ncols) |
---|
20 | #define MATCOLS(i) ((i)->ncols) |
---|
21 | #define MATROWS(i) ((i)->nrows) |
---|
22 | #define MATELEM(mat,i,j) ((mat)->m)[MATCOLS((mat)) * ((i)-1) + (j)-1] |
---|
23 | |
---|
24 | }; |
---|
25 | |
---|
26 | struct sip_smap |
---|
27 | { |
---|
28 | poly *m; |
---|
29 | char *preimage; |
---|
30 | int nrows; |
---|
31 | int ncols; |
---|
32 | }; |
---|
33 | |
---|
34 | class ip_smatrix; |
---|
35 | typedef ip_smatrix * matrix; |
---|
36 | |
---|
37 | struct sideal_list; |
---|
38 | typedef struct sideal_list * ideal_list; |
---|
39 | |
---|
40 | struct sideal_list |
---|
41 | { |
---|
42 | ideal_list next; |
---|
43 | ideal d; |
---|
44 | #ifndef NDEBUG |
---|
45 | int nr; |
---|
46 | #endif |
---|
47 | }; |
---|
48 | |
---|
49 | extern omBin sip_sideal_bin; |
---|
50 | |
---|
51 | #ifdef PDEBUG |
---|
52 | ideal idDBInit (int size, int rank, const char *f, int l); |
---|
53 | #define idInit(A,B) idDBInit(A,B,__FILE__,__LINE__) |
---|
54 | #else |
---|
55 | /*- creates an ideal -*/ |
---|
56 | ideal idInit (int size, int rank=1); |
---|
57 | #endif |
---|
58 | /*- deletes an ideal -*/ |
---|
59 | #define idDelete(h) id_Delete(h, currRing) |
---|
60 | void id_Delete (ideal* h, ring r); |
---|
61 | void id_ShallowDelete (ideal* h, ring r); |
---|
62 | void idSkipZeroes (ideal ide); |
---|
63 | /*gives an ideal the minimal possible size*/ |
---|
64 | |
---|
65 | #ifdef PDEBUG |
---|
66 | void id_DBTest(ideal h1, int level, const char *f,const int l, const ring r); |
---|
67 | #define id_Test(A, r) id_DBTest(A, PDEBUG, __FILE__,__LINE__, r) |
---|
68 | // #define id_Print(id, r) id_Show(id, r) |
---|
69 | #else |
---|
70 | #define id_Test(A, r) (TRUE) |
---|
71 | // #define id_Print(A, r) ((void)0) |
---|
72 | #endif |
---|
73 | |
---|
74 | ideal id_Copy (ideal h1,const ring r); |
---|
75 | #ifdef PDEBUG |
---|
76 | ideal idDBCopy(ideal h1,const char *f,int l); |
---|
77 | #define idCopy(A) idDBCopy(A,__FILE__,__LINE__) |
---|
78 | #else |
---|
79 | #define idCopy(A) id_Copy(A,currRing) |
---|
80 | #endif |
---|
81 | /*adds two ideals without simplifying the result*/ |
---|
82 | ideal idSimpleAdd (ideal h1,ideal h2); |
---|
83 | /*adds the quotient ideal*/ |
---|
84 | ideal idAdd (ideal h1,ideal h2); |
---|
85 | /* h1 + h2 */ |
---|
86 | BOOLEAN idIs0 (ideal h); |
---|
87 | |
---|
88 | long id_RankFreeModule(ideal m, ring lmRing, ring tailRing); |
---|
89 | static inline long id_RankFreeModule(ideal m, ring r) |
---|
90 | {return id_RankFreeModule(m, r, r);} |
---|
91 | // returns TRUE, if idRankFreeModule(m) > 0 |
---|
92 | BOOLEAN id_IsModule(ideal m, ring r); |
---|
93 | ideal idFreeModule (int i); |
---|
94 | int idElem(const ideal F); |
---|
95 | int id_PosConstant(ideal id, const ring r); |
---|
96 | ideal id_MaxIdeal (const ring r); |
---|
97 | ideal id_CopyFirstK (const ideal ide, const int k,const ring r); |
---|
98 | void id_DelMultiples(ideal id, const ring r); |
---|
99 | void id_Norm(ideal id, const ring r); |
---|
100 | void id_DelEquals(ideal id, const ring r); |
---|
101 | void id_DelLmEquals(ideal id, const ring r); |
---|
102 | void id_DelDiv(ideal id, const ring r); |
---|
103 | BOOLEAN id_IsConstant(ideal id, const ri ng r); |
---|
104 | |
---|
105 | |
---|
106 | #endif |
---|