version 1.10, 2002/06/21 00:34:21 |
version 1.13, 2004/04/13 07:43:20 |
|
|
* 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 1.9 2001/10/12 06:07:05 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/lib/sp,v 1.12 2004/01/07 08:23:11 noro Exp $ |
*/ |
*/ |
/* |
/* |
sp : functions related to algebraic number fields |
sp : functions related to algebraic number fields |
Line 63 extern ASCENT,GCDTIME,UFTIME,RESTIME,SQTIME,PRINT$ |
|
Line 63 extern ASCENT,GCDTIME,UFTIME,RESTIME,SQTIME,PRINT$ |
|
extern Ord$ |
extern Ord$ |
extern USE_PARI_FACTOR$ |
extern USE_PARI_FACTOR$ |
|
|
|
/* gen_sp can handle non-monic poly */ |
|
|
|
def gen_sp(P) |
|
{ |
|
P = ptozp(P); |
|
V = var(P); |
|
D = deg(P,V); |
|
LC = coef(P,D,V); |
|
F = LC^(D-1)*subst(P,V,V/LC); |
|
/* F must be monic */ |
|
L = sp(F); |
|
return cons(map(subst,car(L),V,LC*V),cdr(L)); |
|
} |
|
|
def sp(P) |
def sp(P) |
{ |
{ |
RESTIME=UFTIME=GCDTIME=SQTIME=0; |
RESTIME=UFTIME=GCDTIME=SQTIME=0; |
Line 789 def norm_ch_lag(V,VM,P,P0) { |
|
Line 803 def norm_ch_lag(V,VM,P,P0) { |
|
|
|
def cr_gcda(P1,P2) |
def cr_gcda(P1,P2) |
{ |
{ |
if ( !(V = var(P1)) || !var(P2) ) |
if ( !P1 ) |
|
return P2; |
|
if ( !P2 ) |
|
return P1; |
|
if ( !var(P1) || !var(P2) ) |
return 1; |
return 1; |
|
V = var(P1); |
EXT = union_sort(getalgtreep(P1),getalgtreep(P2)); |
EXT = union_sort(getalgtreep(P1),getalgtreep(P2)); |
if ( EXT == [] ) |
if ( EXT == [] ) |
return gcd(P1,P2); |
return gcd(P1,P2); |