version 1.9, 2001/10/12 06:07:05 |
version 1.14, 2005/08/18 23:35:20 |
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* 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 1.8 2000/08/22 05:04:23 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/lib/sp,v 1.13 2004/04/13 07:43:20 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$ |
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Line 63 extern ASCENT,GCDTIME,UFTIME,RESTIME,SQTIME,PRINT$ |
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extern Ord$ |
extern Ord$ |
extern USE_PARI_FACTOR$ |
extern USE_PARI_FACTOR$ |
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/* 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); |
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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)); |
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} |
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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) { |
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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 ) |
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return P2; |
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if ( !P2 ) |
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return P1; |
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if ( !var(P1) || !var(P2) ) |
return 1; |
return 1; |
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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 1327 def resfctr(F,L,V,N) |
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Line 1346 def resfctr(F,L,V,N) |
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N = ptozp(N); |
N = ptozp(N); |
V0 = var(N); |
V0 = var(N); |
DN = diff(N,V0); |
DN = diff(N,V0); |
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LC = coef(N,deg(N,V0),V0); |
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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); |
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if ( !(LC%M) || !(LCD%M)) |
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continue; |
G = gcd(N,DN,M); |
G = gcd(N,DN,M); |
if ( !deg(G,V0) ) { |
if ( !deg(G,V0) ) { |
I++; |
I++; |
Line 1352 def resfctr_mod(F,L,M) |
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Line 1375 def resfctr_mod(F,L,M) |
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C = res(var(MP),B,MP) % M; |
C = res(var(MP),B,MP) % M; |
R = cons(flatten(cdr(modfctr(C,M))),R); |
R = cons(flatten(cdr(modfctr(C,M))),R); |
} |
} |
return R; |
return reverse(R); |
} |
} |
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def flatten(L) |
def flatten(L) |