=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/A.c,v retrieving revision 1.5 retrieving revision 1.6 diff -u -p -r1.5 -r1.6 --- OpenXM_contrib2/asir2000/engine/A.c 2001/10/09 01:36:09 1.5 +++ OpenXM_contrib2/asir2000/engine/A.c 2005/07/11 00:24:02 1.6 @@ -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/engine/A.c,v 1.4 2001/06/07 04:54:39 noro Exp $ + * $OpenXM: OpenXM_contrib2/asir2000/engine/A.c,v 1.5 2001/10/09 01:36:09 noro Exp $ */ #include "ca.h" @@ -298,4 +298,65 @@ P p,p0,*pr; break; } ptozp(c,1,&s,pr); +} + +/* + * compute g s.t. h*p0+g*p = res(v,p0,p) + */ + +void inva_chrem(P p0, P p, NODE *pr) +{ + V v; + Q f,q,q1; + Q u,t,a,b,s,dn; + P c,c0,c1; + P tg,th,tr; + P z,zz,zzz; + UM wg,wh,ws,wt,wm; + int n,m,modres,mod,index,i; + + v = VR(p); n=deg(v,p); m=deg(v,p0); + norm(p,&a); norm(p0,&b); + STOQ(m,u); pwrq(a,u,&t); STOQ(n,u); pwrq(b,u,&s); + mulq(t,s,&u); + factorial(n+m,&t); mulq(u,t,&s); addq(s,s,&f); + wg = W_UMALLOC(m+n); wh = W_UMALLOC(m+n); + wt = W_UMALLOC(m+n); ws = W_UMALLOC(m+n); + wm = W_UMALLOC(m+n); + for ( q = ONE, t = 0, c = 0, index = 0; ; ) { + mod = get_lprime(index++); + if ( !rem(NM((Q)LC(p)),mod) || !rem(NM((Q)LC(p0)),mod) ) + continue; + ptomp(mod,p,&tg); ptomp(mod,p0,&th); srchump(mod,tg,th,&tr); + if ( !tr ) + continue; + else + modres = CONT((MQ)tr); + mptoum(tg,wg); mptoum(th,wh); + eucum(mod,wg,wh,ws,wt); /* wg * ws + wh * wt = 1 */ + DEG(wm) = 0; COEF(wm)[0] = modres; + mulum(mod,ws,wm,wt); + for ( i = DEG(wt); i >= 0; i-- ) + if ( ( COEF(wt)[i] * 2 ) > mod ) + COEF(wt)[i] -= mod; + chnrem(mod,v,c,q,wt,&c1,&q1); + if ( !ucmpp(c,c1) ) { + mulp(CO,c,p,&z); divsrp(CO,z,p0,&zz,&zzz); + if ( NUM(zzz) ) { + q = (Q)zzz; break; + } + } + q = q1; c = c1; + if ( cmpq(f,q) < 0 ) { + mulp(CO,c,p,&z); divsrp(CO,z,p0,&zz,&zzz); + q = (Q)zzz; + break; + } + } + /* c*p = q mod p0 */ + /* c = s*c0 */ + ptozp(c,1,&s,&c0); + /* c/q = c0/(q/s) */ + divq(q,s,&dn); + *pr = (NODE)mknode(2,c0,dn); }