| version 1.13, 2004/04/13 07:43:20 |
version 1.16, 2010/07/14 04:48:14 |
|
|
| * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
| * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
| * |
* |
| * $OpenXM: OpenXM_contrib2/asir2000/lib/sp,v 1.12 2004/01/07 08:23:11 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/lib/sp,v 1.15 2006/06/23 08:57:47 noro Exp $ |
| */ |
*/ |
| /* |
/* |
| sp : functions related to algebraic number fields |
sp : functions related to algebraic number fields |
|
|
| #include "defs.h" |
#include "defs.h" |
| |
|
| extern ASCENT,GCDTIME,UFTIME,RESTIME,SQTIME,PRINT$ |
extern ASCENT,GCDTIME,UFTIME,RESTIME,SQTIME,PRINT$ |
| extern Ord$ |
extern SpOrd$ |
| extern USE_PARI_FACTOR$ |
extern USE_PARI_FACTOR$ |
| |
|
| /* gen_sp can handle non-monic poly */ |
/* gen_sp can handle non-monic poly */ |
| Line 659 def ufctrhint2(P,HINT,PP,AL) |
|
| Line 659 def ufctrhint2(P,HINT,PP,AL) |
|
| return [[P,1]]; |
return [[P,1]]; |
| if ( AL == [] ) |
if ( AL == [] ) |
| return ufctrhint(P,HINT); |
return ufctrhint(P,HINT); |
| |
|
| |
/* if P != norm(PP) then call the generic ufctrhint() */ |
| |
for ( T = AL, E = 1; T != []; T = cdr(T) ) { |
| |
D = defpoly(car(T)); E *= deg(D,var(D)); |
| |
} |
| |
if ( E*deg(PP,var(PP)) != deg(P,var(P)) ) |
| |
return ufctrhint(P,HINT); |
| |
|
| |
/* P = norm(PP) */ |
| L = resfctr(algptorat(PP),map(defpoly,AL),map(algtorat,AL),P); |
L = resfctr(algptorat(PP),map(defpoly,AL),map(algtorat,AL),P); |
| for ( T = reverse(L[1]), DL = []; T != []; T = cdr(T) ) |
for ( T = reverse(L[1]), DL = []; T != []; T = cdr(T) ) |
| DL = cons(deg(car(car(T)),a_),DL); |
DL = cons(deg(car(car(T)),a_),DL); |
| Line 837 def cr_gcda(P1,P2) |
|
| Line 846 def cr_gcda(P1,P2) |
|
| break; |
break; |
| if ( J != length(DL) ) |
if ( J != length(DL) ) |
| continue; |
continue; |
| Ord = 2; NOSUGAR = 1; |
SpOrd = 2; NOSUGAR = 1; |
| T = ag_mod(G1 % MOD,G2 % MOD,ML,VL,MOD); |
T = ag_mod(G1 % MOD,G2 % MOD,ML,VL,MOD); |
| if ( dp_gr_print() ) |
if ( dp_gr_print() ) |
| print("."); |
print("."); |
| Line 1051 def ag_mod(F1,F2,D,VL,MOD) |
|
| Line 1060 def ag_mod(F1,F2,D,VL,MOD) |
|
| VL = cons(V,VL); B = append([F1,F2],D); N = length(VL); |
VL = cons(V,VL); B = append([F1,F2],D); N = length(VL); |
| while ( 1 ) { |
while ( 1 ) { |
| FLAGS = dp_gr_flags(); dp_gr_flags(["Reverse",1,"NoSugar",1]); |
FLAGS = dp_gr_flags(); dp_gr_flags(["Reverse",1,"NoSugar",1]); |
| G = dp_gr_mod_main(B,VL,0,MOD,Ord); |
G = dp_gr_mod_main(B,VL,0,MOD,SpOrd); |
| dp_gr_flags(FLAGS); |
dp_gr_flags(FLAGS); |
| if ( length(G) == 1 ) |
if ( length(G) == 1 ) |
| return 1; |
return 1; |
| Line 1285 def ag_mod_single6(F1,F2,D,MOD) |
|
| Line 1294 def ag_mod_single6(F1,F2,D,MOD) |
|
| |
|
| def inverse_by_gr_mod(C,D,MOD) |
def inverse_by_gr_mod(C,D,MOD) |
| { |
{ |
| Ord = 2; |
SpOrd = 2; |
| dp_gr_flags(["NoSugar",1]); |
dp_gr_flags(["NoSugar",1]); |
| G = dp_gr_mod_main(cons(x*C-1,D),cons(x,vars(D)),0,MOD,Ord); |
G = dp_gr_mod_main(cons(x*C-1,D),cons(x,vars(D)),0,MOD,SpOrd); |
| dp_gr_flags(["NoSugar",0]); |
dp_gr_flags(["NoSugar",0]); |
| if ( length(G) == 1 ) |
if ( length(G) == 1 ) |
| return 1; |
return 1; |
| Line 1375 def resfctr_mod(F,L,M) |
|
| Line 1384 def resfctr_mod(F,L,M) |
|
| C = res(var(MP),B,MP) % M; |
C = res(var(MP),B,MP) % M; |
| R = cons(flatten(cdr(modfctr(C,M))),R); |
R = cons(flatten(cdr(modfctr(C,M))),R); |
| } |
} |
| return R; |
return reverse(R); |
| } |
} |
| |
|
| def flatten(L) |
def flatten(L) |