| 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 */ |
| |
|
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def gen_sp(P) |
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{ |
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P = ptozp(P); |
| |
V = var(P); |
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D = deg(P,V); |
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LC = coef(P,D,V); |
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F = LC^(D-1)*subst(P,V,V/LC); |
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/* F must be monic */ |
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L = sp(F); |
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return cons(map(subst,car(L),V,LC*V),cdr(L)); |
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} |
| |
|
| 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) { |
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| |
|
| def cr_gcda(P1,P2) |
def cr_gcda(P1,P2) |
| { |
{ |
| if ( !(V = var(P1)) || !var(P2) ) |
if ( !P1 ) |
| |
return P2; |
| |
if ( !P2 ) |
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return P1; |
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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); |