version 1.12, 2004/01/07 08:23:11 |
version 1.17, 2016/02/04 04:17:21 |
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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 1.11 2003/02/07 09:25:58 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 |
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#include "defs.h" |
#include "defs.h" |
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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$ |
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/* gen_sp can handle non-monic poly */ |
/* gen_sp can handle non-monic poly */ |
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def af(P,AL) |
def af(P,AL) |
{ |
{ |
RESTIME=UFTIME=GCDTIME=SQTIME=0; |
RESTIME=UFTIME=GCDTIME=SQTIME=0; |
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V = var(P); |
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LC = coef(P,deg(P,V),V); |
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if ( ntype(LC) != 1 ) |
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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) |
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Line 231 def af_sp(P,AL,HINT) |
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{ |
{ |
if ( !P || type(P) == NUM ) |
if ( !P || type(P) == NUM ) |
return [P]; |
return [P]; |
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V = var(P); |
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LC = coef(P,deg(P,V),V); |
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if ( ntype(LC) != 1 ) |
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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 659 def ufctrhint2(P,HINT,PP,AL) |
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Line 667 def ufctrhint2(P,HINT,PP,AL) |
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return [[P,1]]; |
return [[P,1]]; |
if ( AL == [] ) |
if ( AL == [] ) |
return ufctrhint(P,HINT); |
return ufctrhint(P,HINT); |
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/* if P != norm(PP) then call the generic ufctrhint() */ |
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for ( T = AL, E = 1; T != []; T = cdr(T) ) { |
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D = defpoly(car(T)); E *= deg(D,var(D)); |
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} |
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if ( E*deg(PP,var(PP)) != deg(P,var(P)) ) |
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return ufctrhint(P,HINT); |
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/* P = norm(PP) */ |
L = resfctr(algptorat(PP),map(defpoly,AL),map(algtorat,AL),P); |
L = resfctr(algptorat(PP),map(defpoly,AL),map(algtorat,AL),P); |
for ( T = reverse(L[1]), DL = []; T != []; T = cdr(T) ) |
for ( T = reverse(L[1]), DL = []; T != []; T = cdr(T) ) |
DL = cons(deg(car(car(T)),a_),DL); |
DL = cons(deg(car(car(T)),a_),DL); |
Line 803 def norm_ch_lag(V,VM,P,P0) { |
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Line 820 def norm_ch_lag(V,VM,P,P0) { |
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def cr_gcda(P1,P2) |
def cr_gcda(P1,P2) |
{ |
{ |
if ( !var(P1) ) |
if ( !P1 ) |
return P2; |
return P2; |
else if ( !var(P2) ) |
if ( !P2 ) |
return P1; |
return P1; |
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if ( !var(P1) || !var(P2) ) |
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return 1; |
V = var(P1); |
V = var(P1); |
EXT = union_sort(getalgtreep(P1),getalgtreep(P2)); |
EXT = union_sort(getalgtreep(P1),getalgtreep(P2)); |
if ( EXT == [] ) |
if ( EXT == [] ) |
Line 835 def cr_gcda(P1,P2) |
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Line 854 def cr_gcda(P1,P2) |
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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 1049 def ag_mod(F1,F2,D,VL,MOD) |
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Line 1068 def ag_mod(F1,F2,D,VL,MOD) |
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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 1283 def ag_mod_single6(F1,F2,D,MOD) |
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Line 1302 def ag_mod_single6(F1,F2,D,MOD) |
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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; |
Line 1373 def resfctr_mod(F,L,M) |
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Line 1392 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) |