1 | #include "config.h" |
---|
2 | |
---|
3 | #include "cf_defs.h" |
---|
4 | #include "cf_algorithm.h" |
---|
5 | #include "cfEzgcd.h" |
---|
6 | #include "cfGcdUtil.h" |
---|
7 | #include "templates/ftmpl_functions.h" |
---|
8 | #include "cf_factory.h" |
---|
9 | #include "cfUnivarGcd.h" |
---|
10 | |
---|
11 | CanonicalForm |
---|
12 | subResGCD_p( const CanonicalForm & f, const CanonicalForm & g ) |
---|
13 | { |
---|
14 | if (f.inCoeffDomain() || g.inCoeffDomain()) //zero case should be caught by gcd |
---|
15 | return 1; |
---|
16 | CanonicalForm pi, pi1; |
---|
17 | CanonicalForm C, Ci, Ci1, Hi, bi, pi2; |
---|
18 | bool bpure, ezgcdon= isOn (SW_USE_EZGCD_P); |
---|
19 | int delta = degree( f ) - degree( g ); |
---|
20 | |
---|
21 | if ( delta >= 0 ) |
---|
22 | { |
---|
23 | pi = f; pi1 = g; |
---|
24 | } |
---|
25 | else |
---|
26 | { |
---|
27 | pi = g; pi1 = f; delta = -delta; |
---|
28 | } |
---|
29 | if (pi.isUnivariate()) |
---|
30 | Ci= 1; |
---|
31 | else |
---|
32 | { |
---|
33 | if (!ezgcdon) |
---|
34 | On (SW_USE_EZGCD_P); |
---|
35 | Ci = content( pi ); |
---|
36 | if (!ezgcdon) |
---|
37 | Off (SW_USE_EZGCD_P); |
---|
38 | pi = pi / Ci; |
---|
39 | } |
---|
40 | if (pi1.isUnivariate()) |
---|
41 | Ci1= 1; |
---|
42 | else |
---|
43 | { |
---|
44 | if (!ezgcdon) |
---|
45 | On (SW_USE_EZGCD_P); |
---|
46 | Ci1 = content( pi1 ); |
---|
47 | if (!ezgcdon) |
---|
48 | Off (SW_USE_EZGCD_P); |
---|
49 | pi1 = pi1 / Ci1; |
---|
50 | } |
---|
51 | C = gcd( Ci, Ci1 ); |
---|
52 | int d= 0; |
---|
53 | if ( !( pi.isUnivariate() && pi1.isUnivariate() ) ) |
---|
54 | { |
---|
55 | if ( gcd_test_one( pi1, pi, true, d ) ) |
---|
56 | { |
---|
57 | C=abs(C); |
---|
58 | //out_cf("GCD:",C,"\n"); |
---|
59 | return C; |
---|
60 | } |
---|
61 | bpure = false; |
---|
62 | } |
---|
63 | else |
---|
64 | { |
---|
65 | bpure = isPurePoly(pi) && isPurePoly(pi1); |
---|
66 | #ifdef HAVE_FLINT |
---|
67 | if (bpure && (CFFactory::gettype() != GaloisFieldDomain)) |
---|
68 | return gcd_univar_flintp(pi,pi1)*C; |
---|
69 | #else |
---|
70 | #ifdef HAVE_NTL |
---|
71 | if (bpure && (CFFactory::gettype() != GaloisFieldDomain)) |
---|
72 | return gcd_univar_ntlp(pi, pi1 ) * C; |
---|
73 | #endif |
---|
74 | #endif |
---|
75 | } |
---|
76 | Variable v = f.mvar(); |
---|
77 | Hi = power( LC( pi1, v ), delta ); |
---|
78 | int maxNumVars= tmax (getNumVars (pi), getNumVars (pi1)); |
---|
79 | |
---|
80 | if (!(pi.isUnivariate() && pi1.isUnivariate())) |
---|
81 | { |
---|
82 | if (size (Hi)*size (pi)/(maxNumVars*3) > 500) //maybe this needs more tuning |
---|
83 | { |
---|
84 | On (SW_USE_FF_MOD_GCD); |
---|
85 | C *= gcd (pi, pi1); |
---|
86 | Off (SW_USE_FF_MOD_GCD); |
---|
87 | return C; |
---|
88 | } |
---|
89 | } |
---|
90 | |
---|
91 | if ( (delta+1) % 2 ) |
---|
92 | bi = 1; |
---|
93 | else |
---|
94 | bi = -1; |
---|
95 | CanonicalForm oldPi= pi, oldPi1= pi1, powHi; |
---|
96 | while ( degree( pi1, v ) > 0 ) |
---|
97 | { |
---|
98 | if (!(pi.isUnivariate() && pi1.isUnivariate())) |
---|
99 | { |
---|
100 | if (size (pi)/maxNumVars > 500 || size (pi1)/maxNumVars > 500) |
---|
101 | { |
---|
102 | On (SW_USE_FF_MOD_GCD); |
---|
103 | C *= gcd (oldPi, oldPi1); |
---|
104 | Off (SW_USE_FF_MOD_GCD); |
---|
105 | return C; |
---|
106 | } |
---|
107 | } |
---|
108 | pi2 = psr( pi, pi1, v ); |
---|
109 | pi2 = pi2 / bi; |
---|
110 | pi = pi1; pi1 = pi2; |
---|
111 | maxNumVars= tmax (getNumVars (pi), getNumVars (pi1)); |
---|
112 | if (!pi1.isUnivariate() && (size (pi1)/maxNumVars > 500)) |
---|
113 | { |
---|
114 | On (SW_USE_FF_MOD_GCD); |
---|
115 | C *= gcd (oldPi, oldPi1); |
---|
116 | Off (SW_USE_FF_MOD_GCD); |
---|
117 | return C; |
---|
118 | } |
---|
119 | if ( degree( pi1, v ) > 0 ) |
---|
120 | { |
---|
121 | delta = degree( pi, v ) - degree( pi1, v ); |
---|
122 | powHi= power (Hi, delta-1); |
---|
123 | if ( (delta+1) % 2 ) |
---|
124 | bi = LC( pi, v ) * powHi*Hi; |
---|
125 | else |
---|
126 | bi = -LC( pi, v ) * powHi*Hi; |
---|
127 | Hi = power( LC( pi1, v ), delta ) / powHi; |
---|
128 | if (!(pi.isUnivariate() && pi1.isUnivariate())) |
---|
129 | { |
---|
130 | if (size (Hi)*size (pi)/(maxNumVars*3) > 1500) //maybe this needs more tuning |
---|
131 | { |
---|
132 | On (SW_USE_FF_MOD_GCD); |
---|
133 | C *= gcd (oldPi, oldPi1); |
---|
134 | Off (SW_USE_FF_MOD_GCD); |
---|
135 | return C; |
---|
136 | } |
---|
137 | } |
---|
138 | } |
---|
139 | } |
---|
140 | if ( degree( pi1, v ) == 0 ) |
---|
141 | { |
---|
142 | C=abs(C); |
---|
143 | //out_cf("GCD:",C,"\n"); |
---|
144 | return C; |
---|
145 | } |
---|
146 | if (!pi.isUnivariate()) |
---|
147 | { |
---|
148 | if (!ezgcdon) |
---|
149 | On (SW_USE_EZGCD_P); |
---|
150 | Ci= gcd (LC (oldPi,v), LC (oldPi1,v)); |
---|
151 | pi /= LC (pi,v)/Ci; |
---|
152 | Ci= content (pi); |
---|
153 | pi /= Ci; |
---|
154 | if (!ezgcdon) |
---|
155 | Off (SW_USE_EZGCD_P); |
---|
156 | } |
---|
157 | if ( bpure ) |
---|
158 | pi /= pi.lc(); |
---|
159 | C=abs(C*pi); |
---|
160 | //out_cf("GCD:",C,"\n"); |
---|
161 | return C; |
---|
162 | } |
---|
163 | |
---|
164 | CanonicalForm |
---|
165 | subResGCD_0( const CanonicalForm & f, const CanonicalForm & g ) |
---|
166 | { |
---|
167 | CanonicalForm pi, pi1; |
---|
168 | CanonicalForm C, Ci, Ci1, Hi, bi, pi2; |
---|
169 | int delta = degree( f ) - degree( g ); |
---|
170 | |
---|
171 | if ( delta >= 0 ) |
---|
172 | { |
---|
173 | pi = f; pi1 = g; |
---|
174 | } |
---|
175 | else |
---|
176 | { |
---|
177 | pi = g; pi1 = f; delta = -delta; |
---|
178 | } |
---|
179 | Ci = content( pi ); Ci1 = content( pi1 ); |
---|
180 | pi1 = pi1 / Ci1; pi = pi / Ci; |
---|
181 | C = gcd( Ci, Ci1 ); |
---|
182 | int d= 0; |
---|
183 | if ( pi.isUnivariate() && pi1.isUnivariate() ) |
---|
184 | { |
---|
185 | #ifdef HAVE_FLINT |
---|
186 | if (isPurePoly(pi) && isPurePoly(pi1) ) |
---|
187 | return gcd_univar_flint0(pi, pi1 ) * C; |
---|
188 | #else |
---|
189 | #ifdef HAVE_NTL |
---|
190 | if (isPurePoly(pi) && isPurePoly(pi1) ) |
---|
191 | return gcd_univar_ntl0(pi, pi1 ) * C; |
---|
192 | #endif |
---|
193 | #endif |
---|
194 | #ifndef HAVE_NTL |
---|
195 | return gcd_poly_univar0( pi, pi1, true ) * C; |
---|
196 | #endif |
---|
197 | } |
---|
198 | else if ( gcd_test_one( pi1, pi, true, d ) ) |
---|
199 | return C; |
---|
200 | Variable v = f.mvar(); |
---|
201 | Hi = power( LC( pi1, v ), delta ); |
---|
202 | if ( (delta+1) % 2 ) |
---|
203 | bi = 1; |
---|
204 | else |
---|
205 | bi = -1; |
---|
206 | while ( degree( pi1, v ) > 0 ) |
---|
207 | { |
---|
208 | pi2 = psr( pi, pi1, v ); |
---|
209 | pi2 = pi2 / bi; |
---|
210 | pi = pi1; pi1 = pi2; |
---|
211 | if ( degree( pi1, v ) > 0 ) |
---|
212 | { |
---|
213 | delta = degree( pi, v ) - degree( pi1, v ); |
---|
214 | if ( (delta+1) % 2 ) |
---|
215 | bi = LC( pi, v ) * power( Hi, delta ); |
---|
216 | else |
---|
217 | bi = -LC( pi, v ) * power( Hi, delta ); |
---|
218 | Hi = power( LC( pi1, v ), delta ) / power( Hi, delta-1 ); |
---|
219 | } |
---|
220 | } |
---|
221 | if ( degree( pi1, v ) == 0 ) |
---|
222 | return C; |
---|
223 | else |
---|
224 | return C * pp( pi ); |
---|
225 | } |
---|