| version 1.7, 2000/08/21 08:31:43 |
version 1.12, 2004/01/07 08:23:11 |
|
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| * shall be made on your publication or presentation in any form of the |
* shall be made on your publication or presentation in any form of the |
| * results obtained by use of the SOFTWARE. |
* results obtained by use of the SOFTWARE. |
| * (4) In the event that you modify the SOFTWARE, you shall notify FLL by |
* (4) In the event that you modify the SOFTWARE, you shall notify FLL by |
| * e-mail at risa-admin@flab.fujitsu.co.jp of the detailed specification |
* e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification |
| * for such modification or the source code of the modified part of the |
* for such modification or the source code of the modified part of the |
| * SOFTWARE. |
* SOFTWARE. |
| * |
* |
|
|
| * 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 1.6 2000/04/20 02:30:35 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/lib/sp,v 1.11 2003/02/07 09:25:58 noro Exp $ |
| */ |
*/ |
| /* |
/* |
| sp : functions related to algebraic number fields |
sp : functions related to algebraic number fields |
| |
|
| Revision History: |
Revision History: |
| |
|
| |
2001/10/12 noro if USE_PARI_FACTOR is nonzero, pari factor is called |
| 2000/03/10 noro fixed several bugs around gathering algebraic numbers |
2000/03/10 noro fixed several bugs around gathering algebraic numbers |
| 1999/08/24 noro modified for 1999 release version |
1999/08/24 noro modified for 1999 release version |
| */ |
*/ |
|
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| |
|
| extern ASCENT,GCDTIME,UFTIME,RESTIME,SQTIME,PRINT$ |
extern ASCENT,GCDTIME,UFTIME,RESTIME,SQTIME,PRINT$ |
| extern Ord$ |
extern Ord$ |
| |
extern USE_PARI_FACTOR$ |
| |
|
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/* gen_sp can handle non-monic poly */ |
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|
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def gen_sp(P) |
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{ |
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P = ptozp(P); |
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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)); |
| |
} |
| |
|
| def sp(P) |
def sp(P) |
| { |
{ |
| RESTIME=UFTIME=GCDTIME=SQTIME=0; |
RESTIME=UFTIME=GCDTIME=SQTIME=0; |
| Line 592 def simpcoef(P) { |
|
| Line 608 def simpcoef(P) { |
|
| } |
} |
| |
|
| def ufctrhint_heuristic(P,HINT,PP,SHIFT) { |
def ufctrhint_heuristic(P,HINT,PP,SHIFT) { |
| |
if ( USE_PARI_FACTOR ) |
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return pari_ufctr(P); |
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else |
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return asir_ufctrhint_heuristic(P,HINT,PP,SHIFT); |
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} |
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|
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def pari_ufctr(P) { |
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F = pari(factor,P); |
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S = size(F); |
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for ( I = S[0]-1, R = []; I >= 0; I-- ) |
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R = cons(vtol(F[I]),R); |
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return cons([1,1],R); |
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} |
| |
|
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def asir_ufctrhint_heuristic(P,HINT,PP,SHIFT) { |
| V = var(P); D = deg(P,V); |
V = var(P); D = deg(P,V); |
| if ( D == HINT ) |
if ( D == HINT ) |
| return [[P,1]]; |
return [[P,1]]; |
| Line 772 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 ( !var(P1) ) |
| return 1; |
return P2; |
| |
else if ( !var(P2) ) |
| |
return P1; |
| |
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); |
| Line 1310 def resfctr(F,L,V,N) |
|
| Line 1344 def resfctr(F,L,V,N) |
|
| N = ptozp(N); |
N = ptozp(N); |
| V0 = var(N); |
V0 = var(N); |
| DN = diff(N,V0); |
DN = diff(N,V0); |
| |
LC = coef(N,deg(N,V0),V0); |
| |
LCD = coef(DN,deg(DN,V0),V0); |
| for ( I = 0, J = 2, Len = deg(N,V0)+1; I < 5; J++ ) { |
for ( I = 0, J = 2, Len = deg(N,V0)+1; I < 5; J++ ) { |
| M = prime(J); |
M = prime(J); |
| |
if ( !(LC%M) || !(LCD%M)) |
| |
continue; |
| G = gcd(N,DN,M); |
G = gcd(N,DN,M); |
| if ( !deg(G,V0) ) { |
if ( !deg(G,V0) ) { |
| I++; |
I++; |