=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/Hgfs.c,v retrieving revision 1.8 retrieving revision 1.12 diff -u -p -r1.8 -r1.12 --- OpenXM_contrib2/asir2000/engine/Hgfs.c 2001/06/25 10:01:28 1.8 +++ OpenXM_contrib2/asir2000/engine/Hgfs.c 2001/06/27 04:07:57 1.12 @@ -1,4 +1,4 @@ -/* $OpenXM: OpenXM_contrib2/asir2000/engine/Hgfs.c,v 1.7 2001/06/25 06:10:48 noro Exp $ */ +/* $OpenXM: OpenXM_contrib2/asir2000/engine/Hgfs.c,v 1.11 2001/06/26 09:47:05 noro Exp $ */ #include "ca.h" @@ -17,7 +17,19 @@ void sfbmtop(int,BM,V,V,P *); void pp_sfp(VL,P,P *); void sfcsump(VL,P,P *); void mulsfbmarray(int,BM,ML,int,int *,V,V,P *); +void const_term(P,UM); +int comp_dum(a,b) +DUM a,b; +{ + if ( DEG(a->f) > DEG(b->f) ) + return -1; + else if ( DEG(a->f) < DEG(b->f) ) + return 1; + else + return 0; +} + void fctrsf(p,dcp) P p; DCP *dcp; @@ -65,6 +77,10 @@ DCP *dcp; } } udc = udc1; + for ( i = 0; udc[i].f; i++ ); + qsort(udc,i,sizeof(struct oDUM), + (int (*)(const void *,const void *))comp_dum); + NEWDC(dc0); COEF(dc0) = lc; DEG(dc0) = ONE; dc = dc0; for ( n = 0; udc[n].f; n++ ) { NEWDC(NEXT(dc)); dc = NEXT(dc); @@ -563,6 +579,7 @@ ML *listp; DCP dc; UM w,w1,q,fm,hm; UM *gm; + struct oEGT tmp0,tmp1,eg_hensel,eg_hensel_t; clctv(CO,f,&vl); if ( vl->v != x ) { @@ -609,15 +626,26 @@ ML *listp; q = W_UMALLOC(dx); rlist = MLALLOC(fn); rlist->n = fn; rlist->bound = bound; + fprintf(asir_out,"%d candidates\n",fn); + init_eg(&eg_hensel); for ( i = 0; i < fn-1; i++ ) { - fprintf(stderr,"%d\n",i); + fprintf(asir_out,"deg(fm) = %d, deg(gm[%d]) = %d\n", + DEG(fm),i,DEG(gm[i])); + init_eg(&eg_hensel_t); + get_eg(&tmp0); /* fl = gm[i]*hm mod y */ divsfum(fm,gm[i],hm); /* fl is replaced by the cofactor of gk mod y^bound */ /* rlist->c[i] = gk */ sfhenmain2(fl,gm[i],hm,bound,(BM *)&rlist->c[i]); cpyum(hm,fm); + get_eg(&tmp1); add_eg(&eg_hensel_t,&tmp0,&tmp1); + add_eg(&eg_hensel,&tmp0,&tmp1); + print_eg("Hensel",&eg_hensel_t); + fprintf(asir_out,"\n"); } + print_eg("Hensel total",&eg_hensel); + fprintf(asir_out,"\n"); /* finally, fl must be the lift of gm[fn-1] */ rlist->c[i] = fl; @@ -941,6 +969,8 @@ BM fl; int d,i,n; UM t; + n = QTOS(DEG(DC(f))); + clearsfbm(bound,n,fl); DEG(fl) = bound; t = UMALLOC(bound); for ( dc = DC(f); dc; dc = NEXT(dc) ) { @@ -949,7 +979,6 @@ BM fl; for ( i = 0; i <= DEG(t); i++ ) COEF(COEF(fl)[i])[d] = COEF(t)[i]; } - n = QTOS(DEG(DC(f))); for ( i = 0; i < bound; i++ ) degum(COEF(fl)[i],n); } @@ -1030,18 +1059,30 @@ P *fp; void sfdtest(P,ML,V,V,DCP *); -void sfbfctr(f,x,y,evp,dcp) +void sfbfctr(f,x,y,dcp) P f; V x,y; -GFS *evp; DCP *dcp; { ML list; P sf; + GFS ev; + DCP dc,dct; + BM fl; + int n,bound; /* sf(x) = f(x+ev) = list->c[0]*list->c[1]*... */ - sfhensel(5,f,x,evp,&sf,&list); - sfdtest(sf,list,x,y,dcp); + sfhensel(5,f,x,&ev,&sf,&list); + sfdtest(sf,list,x,y,&dc); + n = getdeg(x,sf); + bound = list->bound; + W_BMALLOC(n,bound,fl); + for ( dct = dc; dct; dct = NEXT(dct) ) { + ptosfbm(bound,COEF(dct),fl); + shiftsfbm(bound,fl,_chsgnsf(FTOIF(CONT(ev)))); + sfbmtop(bound,fl,x,y,&COEF(dct)); + } + *dcp = dc; } /* f = f(x,y) = list->c[0]*list->c[1]*... mod y^list->bound */ @@ -1056,10 +1097,11 @@ DCP *dcp; int i,j,k; int *win; P g,lcg,factor,cofactor,lcyx; - P csum,csumt; + P t,csum; DCP dcf,dcf0,dc; BM *c; BM lcy; + UM lcg0; ML wlist; struct oVL vl1,vl0; VL vl; @@ -1068,39 +1110,49 @@ DCP *dcp; /* vl = [x,y] */ vl0.v = x; vl0.next = &vl1; vl1.v = y; vl1.next = 0; vl = &vl0; + /* setup various structures and arrays */ n = UDEG(f); np = list->n; bound = list->bound; win = W_ALLOC(np+1); - - /* csum = lc(f)*f(1) */ - sfcsump(vl,f,&csum); mulp(vl,csum,COEF(DC(f)),&csumt); csum = csumt; - wlist = W_MLALLOC(np); wlist->n = list->n; wlist->bound = list->bound; c = (BM *)COEF(wlist); bcopy((char *)COEF(list),(char *)c,(int)(sizeof(BM)*np)); + lcg0 = W_UMALLOC(2*bound); + /* initialize g by f */ - g = f; mulp(vl,g,COEF(DC(g)),&lcg); + g = f; + /* initialize lcg */ + mulp(vl,g,COEF(DC(g)),&lcg); + + /* initialize lcg0 */ + const_term(lcg,lcg0); + + /* initialize csum = lcg(1) */ + sfcsump(vl,lcg,&csum); + /* initialize lcy by LC(f) */ W_BMALLOC(0,bound,lcy); - NEWDC(dc); COEF(dc) = COEF(DC(g)); - DEG(dc) = 0; + NEWDC(dc); COEF(dc) = COEF(DC(g)); DEG(dc) = 0; NEWP(lcyx); VR(lcyx) = x; DC(lcyx) = dc; ptosfbm(bound,lcyx,lcy); fprintf(stderr,"np = %d\n",np); for ( g = f, k = 1, dcf = dcf0 = 0, win[0] = 1, --np, z = 0; ; z++ ) { if ( !(z % 1000) ) fprintf(stderr,"."); - if ( sfdtestmain(vl,lcg,lcy,csum,wlist,k,win,&factor,&cofactor) ) { + if ( sfdtestmain(vl,lcg,lcg0,lcy,csum,wlist,k,win,&factor,&cofactor) ) { NEXTDC(dcf0,dcf); DEG(dcf) = ONE; COEF(dcf) = factor; g = cofactor; - /* update csum */ - sfcsump(vl,g,&csum); mulp(vl,csum,COEF(DC(g)),&csumt); csum = csumt; - /* update lcg */ mulp(vl,g,COEF(DC(g)),&lcg); + /* update lcg0 */ + const_term(lcg,lcg0); + + /* update csum */ + sfcsump(vl,lcg,&csum); + /* update lcy */ clearsfbm(bound,0,lcy); COEF(dc) = COEF(DC(g)); ptosfbm(bound,lcyx,lcy); @@ -1133,10 +1185,11 @@ DCP *dcp; DEG(dcf) = ONE; NEXT(dcf) = 0; *dcp = dcf0; } -/* lcy = LC(g), lcg = lcy*g */ -int sfdtestmain(vl,lcg,lcy,csum,list,k,in,fp,cofp) +/* lcy = LC(g), lcg = lcy*g, lcg0 = const part of lcg */ +int sfdtestmain(vl,lcg,lcg0,lcy,csum,list,k,in,fp,cofp) VL vl; P lcg; +UM lcg0; BM lcy; P csum; ML list; @@ -1149,10 +1202,8 @@ P *fp,*cofp; x = vl->v; y = vl->next->v; -#if 0 - if (!sfctest(g,list,k,in)) + if (!sfctest(lcg0,lcy,list,k,in)) return 0; -#endif mulsfbmarray(UDEG(lcg),lcy,list,k,in,x,y,&fmul); if ( csum ) { sfcsump(vl,fmul,&csumg); @@ -1161,7 +1212,7 @@ P *fp,*cofp; return 0; } } - if ( divtp(vl,lcg,fmul,&q) ) { + if ( divtp_by_sfbm(vl,lcg,fmul,&q) ) { pp_sfp(vl,fmul,fp); pp_sfp(vl,q,cofp); return 1; @@ -1169,40 +1220,71 @@ P *fp,*cofp; return 0; } -#if 0 -int sfctest(g,list,k,in) -P g; +void const_term(f,c) +P f; +UM c; +{ + DCP dc; + + for ( dc = DC(f); dc && DEG(dc); dc = NEXT(dc) ); + if ( dc ) + ptosfum(COEF(dc),c); + else + DEG(c) = -1; +} + +void const_term_sfbm(f,bound,c) +BM f; +int bound; +UM c; +{ + int i; + + for ( i = 0; i < bound; i++ ) + if ( DEG(COEF(f)[i]) >= 0 ) + COEF(c)[i] = COEF(COEF(f)[i])[0]; + else + COEF(c)[i] = 0; + degum(c,bound-1); +} + +/* lcy*(product of const part) | lcg0 ? */ + +int sfctest(lcg0,lcy,list,k,in) +UM lcg0; +BM lcy; ML list; int k; int *in; { - register int i; - int q,bound; - int *wm,*wm1,*tmpp; DCP dc; - Q dvr; - N lcn,cstn,dndn,dmyn,rn; - LUM *l; + int bound,i,dr; + UM t,s,u,w; + BM *l; - for ( dc = DC(g); dc && DEG(dc); dc = NEXT(dc) ); - if ( dc ) - cstn = NM((Q)COEF(dc)); - else + bound = list->bound; + t = W_UMALLOC(2*bound); + s = W_UMALLOC(2*bound); + u = W_UMALLOC(2*bound); + const_term_sfbm(lcy,bound,t); + if ( DEG(t) < 0 ) return 1; - q = list->mod; bound = list->bound; - ntobn(q,NM((Q)COEF(DC(g))),&lcn);; - W_CALLOC(bound+1,int,wm); W_CALLOC(bound+1,int,wm1); - for ( i = 0; i < PL(lcn); i++ ) - wm[i] = BD(lcn)[i]; - for ( i = 0, l = (LUM *)list->c; i < k; i++ ) { - mulpadic(q,bound,wm,COEF(l[in[i]])[0],wm1); - tmpp = wm; wm = wm1; wm1 = tmpp; + + l = (BM *)list->c; + for ( i = 0; i < k; i++ ) { + const_term_sfbm(l[in[i]],bound,s); + mulsfum(t,s,u); + if ( DEG(u) >= bound ) + degum(u,bound-1); + w = t; t = u; u = w; } - padictoq(q,bound,wm,&dvr); - kmuln(NM((Q)COEF(DC(g))),cstn,&dndn); divn(dndn,NM(dvr),&dmyn,&rn); - return rn ? 0 : 1; + cpyum(lcg0,s); + dr = divsfum(s,t,u); + if ( dr >= 0 ) + return 0; + else + return 1; } -#endif /* main var of f is x */ @@ -1278,4 +1360,50 @@ P *fp; sfumtop(y,gcd,&dvr); divsp(vl,f,dvr,fp); } +} + +int divtp_by_sfbm(vl,f,g,qp) +VL vl; +P f,g; +P *qp; +{ + V x,y; + int fx,fy,gx,gy; + BM fl,gl,ql; + UM *cf,*cg,*cq; + UM hg,q,t,s; + int i,j,dr; + + x = vl->v; y = vl->next->v; + fx = getdeg(x,f); fy = getdeg(y,f); + gx = getdeg(x,g); gy = getdeg(y,g); + + if ( fx < gx || fy < gy ) + return 0; + W_BMALLOC(fx,fy+1,fl); ptosfbm(fy+1,f,fl); cf = COEF(fl); + W_BMALLOC(gx,gy+1,gl); ptosfbm(gy+1,g,gl); cg = COEF(gl); + W_BMALLOC(fx-gx,fy-gy+1,ql); cq = COEF(ql); + + hg = cg[gy]; + q = W_UMALLOC(fx); t = W_UMALLOC(fx); s = W_UMALLOC(fx); + + for ( i = fy; i >= gy; i-- ) { + if ( DEG(cf[i]) < 0 ) + continue; + dr = divsfum(cf[i],hg,q); + if ( dr >= 0 ) + return 0; + if ( DEG(q) > fx-gx ) + return 0; + cpyum(q,cq[i-gy]); + for ( j = 0; j <= gy; j++ ) { + mulsfum(cg[j],q,t); + subsfum(cf[j+i-gy],t,s); + cpyum(s,cf[j+i-gy]); + } + } + for ( j = gy-1; j >= 0 && DEG(cf[j]) < 0; j-- ); + if ( j >= 0 ) + return 0; + sfbmtop(DEG(ql),ql,x,y,qp); }