=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/lib/sp,v retrieving revision 1.17 retrieving revision 1.18 diff -u -p -r1.17 -r1.18 --- OpenXM_contrib2/asir2000/lib/sp 2016/02/04 04:17:21 1.17 +++ OpenXM_contrib2/asir2000/lib/sp 2018/04/06 07:40:44 1.18 @@ -45,7 +45,7 @@ * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. * - * $OpenXM: OpenXM_contrib2/asir2000/lib/sp,v 1.16 2010/07/14 04:48:14 noro Exp $ + * $OpenXM: OpenXM_contrib2/asir2000/lib/sp,v 1.17 2016/02/04 04:17:21 noro Exp $ */ /* sp : functions related to algebraic number fields @@ -1365,20 +1365,25 @@ def resfctr(F,L,V,N) 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++ ) { - M = prime(J); - if ( !(LC%M) || !(LCD%M)) - continue; - G = gcd(N,DN,M); - if ( !deg(G,V0) ) { - I++; - T = nfctr_mod(N,M); - if ( T < Len ) { - Len = T; M0 = M; - } - } - } - S = spm(L,V,M0); + J = 2; + while ( 1 ) { + Len = deg(N,V0)+1; + for ( I = 0; I < 5; J++ ) { + M = prime(J); + if ( !(LC%M) || !(LCD%M)) + continue; + G = gcd(N,DN,M); + if ( !deg(G,V0) ) { + I++; + T = nfctr_mod(N,M); + if ( T < Len ) { + Len = T; M0 = M; + } + } + } + S = spm(L,V,M0); + if ( S ) break; + } T = resfctr_mod(F,S,M0); return [T,S,M0]; } @@ -1408,11 +1413,13 @@ def spm(L,V,M) U = modfctr(car(L),M); for ( T = cdr(U), R = []; T != []; T = cdr(T) ) { S = car(T); + if ( S[1] > 1 ) return 0; R = cons([subst(S[0],var(S[0]),a_),[var(S[0]),a_]],R); } return R; } L1 = spm(cdr(L),cdr(V),M); + if ( !L1 ) return 0; F0 = car(L); V0 = car(V); VR = cdr(V); for ( T = L1, R = []; T != []; T = cdr(T) ) { S = car(T); @@ -1420,6 +1427,7 @@ def spm(L,V,M) U = fctr_mod(F1,V0,S[0],M); VS = var(S[0]); for ( W = U; W != []; W = cdr(W) ) { + if ( car(W)[1] > 1 ) return 0; A = car(car(W)); if ( deg(A,V0) == 1 ) { A = monic_mod(A,V0,S[0],M);