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; |