1 | #ifndef CF_MOD_GCD_H |
---|
2 | #define CF_MOD_GCD_H |
---|
3 | // -*- c++ -*- |
---|
4 | //***************************************************************************** |
---|
5 | /** @file cfModGcd.h |
---|
6 | * |
---|
7 | * modular and sparse modular GCD algorithms over finite fields and Z. |
---|
8 | * |
---|
9 | * @author Martin Lee |
---|
10 | * @date 22.10.2009 |
---|
11 | * |
---|
12 | * @par Copyright: |
---|
13 | * (c) by The SINGULAR Team, see LICENSE file |
---|
14 | * |
---|
15 | **/ |
---|
16 | //***************************************************************************** |
---|
17 | |
---|
18 | // #include "config.h" |
---|
19 | #include "cf_assert.h" |
---|
20 | |
---|
21 | #include "cf_factory.h" |
---|
22 | |
---|
23 | CanonicalForm modGCDFq (const CanonicalForm& F, const CanonicalForm& G, |
---|
24 | Variable & alpha, CFList& l, bool& top_level); |
---|
25 | |
---|
26 | /// GCD of A and B over \f$ F_{p}(\alpha ) \f$ |
---|
27 | static inline |
---|
28 | CanonicalForm modGCDFq (const CanonicalForm& A, ///<[in] poly over F_q |
---|
29 | const CanonicalForm& B, ///<[in] poly over F_q |
---|
30 | Variable & alpha ///<[in] algebraic variable |
---|
31 | ) |
---|
32 | { |
---|
33 | CFList list; |
---|
34 | bool top_level= true; |
---|
35 | return modGCDFq (A, B, alpha, list, top_level); |
---|
36 | } |
---|
37 | |
---|
38 | |
---|
39 | CanonicalForm |
---|
40 | modGCDFp (const CanonicalForm& F, const CanonicalForm& G, bool& top_level, |
---|
41 | CFList& l); |
---|
42 | |
---|
43 | CanonicalForm |
---|
44 | modGCDFp (const CanonicalForm& F, const CanonicalForm& G, |
---|
45 | CanonicalForm& coF, CanonicalForm& coG, |
---|
46 | bool& topLevel, CFList& l); |
---|
47 | |
---|
48 | ///GCD of A and B over \f$ F_{p} \f$ |
---|
49 | static inline |
---|
50 | CanonicalForm modGCDFp (const CanonicalForm& A, ///<[in] poly over F_p |
---|
51 | const CanonicalForm& B ///<[in] poly over F_p |
---|
52 | ) |
---|
53 | { |
---|
54 | CFList list; |
---|
55 | bool top_level= true; |
---|
56 | return modGCDFp (A, B, top_level, list); |
---|
57 | } |
---|
58 | |
---|
59 | static inline |
---|
60 | CanonicalForm modGCDFp (const CanonicalForm& A, const CanonicalForm& B, |
---|
61 | CanonicalForm& coA, CanonicalForm& coB) |
---|
62 | { |
---|
63 | CFList list; |
---|
64 | bool top_level= true; |
---|
65 | return modGCDFp (A, B, coA, coB, top_level, list); |
---|
66 | } |
---|
67 | |
---|
68 | CanonicalForm |
---|
69 | modGCDGF (const CanonicalForm& F, const CanonicalForm& G, CFList& l, |
---|
70 | bool& top_level); |
---|
71 | |
---|
72 | /// GCD of A and B over GF |
---|
73 | static inline |
---|
74 | CanonicalForm modGCDGF (const CanonicalForm& A, ///<[in] poly over GF |
---|
75 | const CanonicalForm& B ///<[in] poly over GF |
---|
76 | ) |
---|
77 | { |
---|
78 | ASSERT (CFFactory::gettype() == GaloisFieldDomain, |
---|
79 | "GF as base field expected"); |
---|
80 | CFList list; |
---|
81 | bool top_level= true; |
---|
82 | return modGCDGF (A, B, list, top_level); |
---|
83 | } |
---|
84 | |
---|
85 | CanonicalForm sparseGCDFp (const CanonicalForm& F, const CanonicalForm& G, |
---|
86 | bool& topLevel, CFList& l); |
---|
87 | |
---|
88 | /// Zippel's sparse GCD over Fp |
---|
89 | static inline |
---|
90 | CanonicalForm sparseGCDFp (const CanonicalForm& A, ///<[in] poly over F_p |
---|
91 | const CanonicalForm& B ///<[in] poly over F_p |
---|
92 | ) |
---|
93 | { |
---|
94 | ASSERT (CFFactory::gettype() == FiniteFieldDomain, |
---|
95 | "Fp as base field expected"); |
---|
96 | CFList list; |
---|
97 | bool topLevel= true; |
---|
98 | return sparseGCDFp (A, B, topLevel, list); |
---|
99 | } |
---|
100 | |
---|
101 | |
---|
102 | CanonicalForm |
---|
103 | sparseGCDFq (const CanonicalForm& F, const CanonicalForm& G, |
---|
104 | const Variable& alpha, CFList& l, bool& topLevel); |
---|
105 | |
---|
106 | /// Zippel's sparse GCD over Fq |
---|
107 | static inline |
---|
108 | CanonicalForm sparseGCDFq (const CanonicalForm& A, ///<[in] poly over F_q |
---|
109 | const CanonicalForm& B, ///<[in] poly over F_q |
---|
110 | const Variable& alpha ///<[in] algebraic variable |
---|
111 | ) |
---|
112 | { |
---|
113 | CFList list; |
---|
114 | bool topLevel= true; |
---|
115 | return sparseGCDFq (A, B, alpha, list, topLevel); |
---|
116 | } |
---|
117 | |
---|
118 | /// extract monomials of F, parts in algebraic variable are considered |
---|
119 | /// coefficients |
---|
120 | CFArray |
---|
121 | getMonoms (const CanonicalForm& F ///<[in] some poly |
---|
122 | ); |
---|
123 | |
---|
124 | bool |
---|
125 | terminationTest (const CanonicalForm& F, const CanonicalForm& G, |
---|
126 | const CanonicalForm& coF, const CanonicalForm& coG, |
---|
127 | const CanonicalForm& cand); |
---|
128 | |
---|
129 | /// modular GCD over Z |
---|
130 | CanonicalForm modGCDZ (const CanonicalForm & FF, ///<[in] poly over Z |
---|
131 | const CanonicalForm & GG ///<[in] poly over Z |
---|
132 | ); |
---|
133 | #endif |
---|