| version 1.15, 2006/06/23 08:57:47 |
version 1.17, 2016/02/04 04:17:21 |
|
|
| * 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 1.14 2005/08/18 23:35:20 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/lib/sp,v 1.16 2010/07/14 04:48:14 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 */ |
|
|
| def af(P,AL) |
def af(P,AL) |
| { |
{ |
| RESTIME=UFTIME=GCDTIME=SQTIME=0; |
RESTIME=UFTIME=GCDTIME=SQTIME=0; |
| |
V = var(P); |
| |
LC = coef(P,deg(P,V),V); |
| |
if ( ntype(LC) != 1 ) |
| |
P = simpalg(1/LC*P); |
| S = reverse(asq(P)); |
S = reverse(asq(P)); |
| for ( L = []; S != []; S = cdr(S) ) { |
for ( L = []; S != []; S = cdr(S) ) { |
| FM = car(S); F = FM[0]; M = FM[1]; |
FM = car(S); F = FM[0]; M = FM[1]; |
| Line 227 def af_sp(P,AL,HINT) |
|
| Line 231 def af_sp(P,AL,HINT) |
|
| { |
{ |
| if ( !P || type(P) == NUM ) |
if ( !P || type(P) == NUM ) |
| return [P]; |
return [P]; |
| |
V = var(P); |
| |
LC = coef(P,deg(P,V),V); |
| |
if ( ntype(LC) != 1 ) |
| |
P = simpalg(1/LC*P); |
| P1 = simpcoef(simpalg(P)); |
P1 = simpcoef(simpalg(P)); |
| return af_spmain(P1,AL,1,HINT,P1,[]); |
return af_spmain(P1,AL,1,HINT,P1,[]); |
| } |
} |
| Line 846 def cr_gcda(P1,P2) |
|
| Line 854 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 1060 def ag_mod(F1,F2,D,VL,MOD) |
|
| Line 1068 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 1294 def ag_mod_single6(F1,F2,D,MOD) |
|
| Line 1302 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; |