version 1.10, 2000/12/15 01:34:31 |
version 1.12, 2000/12/15 07:15:18 |
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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: OpenXM_contrib2/asir2000/lib/bfct,v 1.11 2000/12/15 01:52:36 noro Exp $ |
*/ |
*/ |
/* requires 'primdec' */ |
/* requires 'primdec' */ |
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if ( !member(y1,VL) && !member(y2,VL) ) |
if ( !member(y1,VL) && !member(y2,VL) ) |
G1 = cons(E,G1); |
G1 = cons(E,G1); |
} |
} |
G2 = map(subst,G1,dt,1); |
G2 = map(psi,G1,t,dt); |
G3 = map(b_subst,G2,t); |
G3 = map(subst,G2,t,-1-s); |
G4 = map(subst,G3,t,-1-s); |
return G3; |
return G4; |
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} |
} |
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/* |
/* |
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if ( !member(y1,VL) && !member(y2,VL) ) |
if ( !member(y1,VL) && !member(y2,VL) ) |
G1 = cons(E,G1); |
G1 = cons(E,G1); |
} |
} |
G2 = map(subst,G1,dt,1); |
G2 = map(psi,G1,t,dt); |
G3 = map(b_subst,G2,t); |
G3 = map(subst,G2,t,-1-s); |
G4 = map(subst,G3,t,-1-s); |
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/* G4 = J_f(s) */ |
/* G3 = J_f(s) */ |
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V1 = cons(s,V); DV1 = cons(ds,DV); V1DV1 = append(V1,DV1); |
V1 = cons(s,V); DV1 = cons(ds,DV); V1DV1 = append(V1,DV1); |
G5 = dp_weyl_gr_main(cons(F,G4),V1DV1,0,1,0); |
G4 = dp_weyl_gr_main(cons(F,G3),V1DV1,0,1,0); |
Bf = weyl_minipoly(G5,V1DV1,0,s); |
Bf = weyl_minipoly(G4,V1DV1,0,s); |
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FList = cdr(fctr(Bf)); |
FList = cdr(fctr(Bf)); |
for ( T = FList, Min = 0; T != []; T = cdr(T) ) { |
for ( T = FList, Min = 0; T != []; T = cdr(T) ) { |
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if ( dn(Root) == 1 && Root < Min ) |
if ( dn(Root) == 1 && Root < Min ) |
Min = Root; |
Min = Root; |
} |
} |
return [Min,map(subst,G4,s,Min)]; |
return [Min,map(subst,G3,s,Min)]; |
} |
} |
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def indicial1(F,V) |
def indicial1(F,V) |
Line 164 def indicial1(F,V) |
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Line 162 def indicial1(F,V) |
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/* homogenized (heuristics) */ |
/* homogenized (heuristics) */ |
G0 = dp_weyl_gr_main(B,append(W,DW),1,0,6); |
G0 = dp_weyl_gr_main(B,append(W,DW),1,0,6); |
G1 = map(subst,G0,y1,1); |
G1 = map(subst,G0,y1,1); |
Mat = newmat(2,2,[[-1,1],[0,1]]); |
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G2 = map(psi,G1,t,dt); |
G2 = map(psi,G1,t,dt); |
G3 = map(subst,G2,t,-s-1); |
G3 = map(subst,G2,t,-s-1); |
return G3; |
return G3; |
Line 269 def weyl_minipolym(G,V,O,M,V0) |
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Line 266 def weyl_minipolym(G,V,O,M,V0) |
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def weyl_minipoly(G0,V0,O0,V) |
def weyl_minipoly(G0,V0,O0,V) |
{ |
{ |
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HM = hmlist(G0,V0,O0); |
for ( I = 0; ; I++ ) { |
for ( I = 0; ; I++ ) { |
Prime = lprime(I); |
Prime = lprime(I); |
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if ( !valid_modulus(HM,Prime) ) |
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continue; |
MP = weyl_minipolym(G0,V0,O0,Prime,V); |
MP = weyl_minipolym(G0,V0,O0,Prime,V); |
for ( D = deg(MP,V), TL = [], J = 0; J <= D; J++ ) |
for ( D = deg(MP,V), TL = [], J = 0; J <= D; J++ ) |
TL = cons(V^J,TL); |
TL = cons(V^J,TL); |