=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/Fgfs.c,v retrieving revision 1.11 retrieving revision 1.21 diff -u -p -r1.11 -r1.21 --- OpenXM_contrib2/asir2000/engine/Fgfs.c 2002/11/22 08:44:57 1.11 +++ OpenXM_contrib2/asir2000/engine/Fgfs.c 2004/04/03 05:52:56 1.21 @@ -1,4 +1,4 @@ -/* $OpenXM: OpenXM_contrib2/asir2000/engine/Fgfs.c,v 1.10 2002/11/22 07:32:10 noro Exp $ */ +/* $OpenXM: OpenXM_contrib2/asir2000/engine/Fgfs.c,v 1.20 2004/02/03 23:31:57 noro Exp $ */ #include "ca.h" @@ -12,11 +12,11 @@ void partial_sqfrsf(VL vl,V v,P f,P *r,DCP *dcp); void gcdsf(VL vl,P *pa,int k,P *r); void mfctrsfmain(VL vl, P f, DCP *dcp); void next_evaluation_point(int *mev,int n); -void estimatelc_sf(VL vl,VL rvl,P c,DCP dc,P *lcp); -void mfctrsf_hensel(VL vl,VL rvl,P f,P pp0,P u0,P v0,P lcu,P lcv,P *up); +void estimatelc_sf(VL vl,VL rvl,P c,DCP dc,int *mev,P *lcp); +void mfctrsf_hensel(VL vl,VL rvl,P f,P pp0,P u0,P v0,P lcu,P lcv,int *mev,P *up); void substvp_sf(VL vl,VL rvl,P f,int *mev,P *r); void shift_sf(VL vl, VL rvl, P f, int *mev, int sgn, P *r); -void adjust_coef_sf(VL vl,VL rvl,P lcu,P u0,P *r); +void adjust_coef_sf(VL vl,VL rvl,P lcu,P u0,int *mev,P *r); void extended_gcd_modyk(P u0,P v0,V x,V y,int dy,P *cu,P *cv); void poly_to_gfsn_poly(VL vl,P f,V v,P *r); void gfsn_poly_to_poly(VL vl,P f,V v,P *r); @@ -25,6 +25,29 @@ void gfsn_poly_to_poly_main(P f,V v,P *r); void gfsn_univariate_to_sfbm(P f,int dy,BM *r); void sfbm_to_gfsn_univariate(BM f,V x,V y,P *r); +void monomialfctr_sf(VL vl,P p,P *pr,DCP *dcp) +{ + VL nvl,avl; + Q d; + P f,t,s; + DCP dc0,dc; + Obj obj; + + clctv(vl,p,&nvl); + for ( dc0 = 0, avl = nvl, f = p; avl; avl = NEXT(avl) ) { + getmindeg(avl->v,f,&d); + if ( d ) { + MKV(avl->v,t); + simp_ff((Obj)t,&obj); t = (P)obj; + NEXTDC(dc0,dc); DEG(dc) = d; COEF(dc) = t; + pwrp(vl,t,d,&s); divsp(vl,f,s,&t); f = t; + } + } + if ( dc0 ) + NEXT(dc) = 0; + *pr = f; *dcp = dc0; +} + void lex_lc(P f,P *c) { if ( !f || NUM(f) ) @@ -50,13 +73,14 @@ void sqfrsf(VL vl, P f, DCP *dcp) { DCP dc,dct; Obj obj; - P t,s,c; - VL tvl,nvl; + P t,s,c,cont; + VL tvl,onevl; simp_ff((Obj)f,&obj); f = (P)obj; lex_lc(f,&c); divsp(vl,f,c,&t); f = t; - monomialfctr(vl,f,&t,&dc); f = t; + monomialfctr_sf(vl,f,&t,&dc); f = t; clctv(vl,f,&tvl); vl = tvl; + NEWVL(onevl); NEXT(onevl)=0; if ( !vl ) ; else if ( !NEXT(vl) ) { @@ -65,9 +89,9 @@ void sqfrsf(VL vl, P f, DCP *dcp) } else { t = f; for ( tvl = vl; tvl; tvl = NEXT(tvl) ) { - reordvar(vl,tvl->v,&nvl); - cont_pp_mv_sf(vl,NEXT(nvl),t,&c,&s); t = s; - sqfrsf(vl,c,&dct); + onevl->v = tvl->v; + cont_pp_mv_sf(vl,onevl,t,&cont,&s); t = s; + sqfrsf(vl,cont,&dct); dc = append_dc(dc,NEXT(dct)); } sqfrsfmain(vl,t,&dct); @@ -473,7 +497,12 @@ void cont_pp_mv_sf(VL vl,VL rvl,P p,P *c,P *pp) MP t; int i,m; P *ps; + struct order_spec *spec, *currentspec; + extern struct order_spec *dp_current_spec; + currentspec = dp_current_spec; + create_order_spec(0,0,&spec); + initd(spec); ptod(vl,rvl,p,&dp); for ( t = BDY(dp), m = 0; t; t = NEXT(t), m++ ); ps = (P *)ALLOCA(m*sizeof(P)); @@ -481,6 +510,7 @@ void cont_pp_mv_sf(VL vl,VL rvl,P p,P *c,P *pp) ps[i] = C(t); gcdsf(vl,ps,m,c); divsp(vl,p,*c,pp); + initd(currentspec); } void mfctrsf(VL vl, P f, DCP *dcp) @@ -515,7 +545,7 @@ void mfctrsfmain(VL vl, P f, DCP *dcp) P gcd,g,df,dfmin; P pa[2]; P f0,pp0,spp0,c,c0,x,y,u,v,lcf,lcu,lcv,u0,v0,t,s; - P ype,yme; + P ype,yme,fin; GFS ev,evy; P *fp0; int *mev,*win; @@ -531,7 +561,7 @@ void mfctrsfmain(VL vl, P f, DCP *dcp) return; } for ( n = 0, tvl = vl; tvl; tvl = NEXT(tvl), n++ ); - va = (V *)ALLOCA(n*sizeof(int)); + va = (V *)ALLOCA(n*sizeof(V)); da = (int *)ALLOCA(n*sizeof(int)); /* find v s.t. diff(f,v) is nonzero and deg(f,v) is minimal */ imin = -1; @@ -578,6 +608,7 @@ void mfctrsfmain(VL vl, P f, DCP *dcp) } NEXT(tvl) = 0; + fin = f; reorderp(nvl,vl,f,&g); f = g; vx = nvl->v; vy = NEXT(nvl)->v; @@ -626,7 +657,7 @@ void mfctrsfmain(VL vl, P f, DCP *dcp) if ( !NEXT(dc) ) { /* f is irreducible */ - NEWDC(dc); DEG(dc) = ONE; COEF(dc) = f; NEXT(dc) = 0; + NEWDC(dc); DEG(dc) = ONE; COEF(dc) = fin; NEXT(dc) = 0; *dcp = dc; return; } @@ -645,16 +676,8 @@ void mfctrsfmain(VL vl, P f, DCP *dcp) lcf = COEF(DC(f)); mfctrsf(nvl,lcf,&dct); /* skip the first element (= a number) */ - dct = NEXT(dct); + lcfdc = NEXT(dct); - /* shift lcfdc; c <- c(X+mev) */ - for ( lcfdc = 0; dct; dct = NEXT(dct) ) { - NEXTDC(lcfdc,dcs); - DEG(dcs) = DEG(dct); - shift_sf(nvl,rvl,COEF(dct),mev,1,&COEF(dcs)); - } - NEXT(dcs) = 0; - /* np = number of bivariate factors */ for ( np = 0, dct = dc; dct; dct = NEXT(dct), np++ ); fp0 = (P *)ALLOCA((np+1)*sizeof(P)); @@ -664,9 +687,6 @@ void mfctrsfmain(VL vl, P f, DCP *dcp) l = tl = (P *)ALLOCA((np+1)*sizeof(P)); win = W_ALLOC(np+1); - /* f <- f(X+mev) */ - shift_sf(nvl,rvl,f,mev,1,&s); f = s; - for ( k = 1, win[0] = 1, --np; ; ) { itogfs(1,&u0); /* u0 = product of selected factors */ @@ -675,15 +695,15 @@ void mfctrsfmain(VL vl, P f, DCP *dcp) } /* we have to consider the content */ /* f0 = c0*u0*v0 */ - mulp(nvl,LC(u0),c0,&c); estimatelc_sf(nvl,rvl,c,lcfdc,&lcu); + mulp(nvl,LC(u0),c0,&c); estimatelc_sf(nvl,rvl,c,lcfdc,mev,&lcu); divsp(nvl,pp0,u0,&v0); - mulp(nvl,LC(v0),c0,&c); estimatelc_sf(nvl,rvl,c,lcfdc,&lcv); - mfctrsf_hensel(nvl,rvl,f,pp0,u0,v0,lcu,lcv,&u); + mulp(nvl,LC(v0),c0,&c); estimatelc_sf(nvl,rvl,c,lcfdc,mev,&lcv); + mfctrsf_hensel(nvl,rvl,f,pp0,u0,v0,lcu,lcv,mev,&u); if ( u ) { /* save the factor */ reorderp(vl,nvl,u,&t); - /* x -> x-mev, y -> y-evy */ - shift_sf(vl,rvl,t,mev,-1,&s); substp(vl,s,vy,yme,tl++); + /* y -> y-evy */ + substp(vl,t,vy,yme,tl++); /* update f,pp0 */ divsp(nvl,f,u,&t); f = t; @@ -714,8 +734,8 @@ void mfctrsfmain(VL vl, P f, DCP *dcp) } } reorderp(vl,nvl,f,&t); - /* x -> x-mev, y -> y-evy */ - shift_sf(vl,rvl,t,mev,-1,&s); substp(vl,s,vy,yme,tl++); + /* y -> y-evy */ + substp(vl,t,vy,yme,tl++); *tl = 0; for ( dc0 = 0, i = 0; l[i]; i++ ) { NEXTDC(dc0,dc); DEG(dc) = ONE; COEF(dc) = l[i]; @@ -742,12 +762,12 @@ void next_evaluation_point(int *e,int n) /* * dc : f1^E1*...*fk^Ek - * find e1,...,ek s.t. fi(0)^ei | c + * find e1,...,ek s.t. fi(mev)^ei | c * and return f1^e1*...*fk^ek * vl = (vx,vy,rvl) */ -void estimatelc_sf(VL vl,VL rvl,P c,DCP dc,P *lcp) +void estimatelc_sf(VL vl,VL rvl,P c,DCP dc,int *mev,P *lcp) { DCP dct; P r,c1,c2,t,s,f; @@ -758,7 +778,7 @@ void estimatelc_sf(VL vl,VL rvl,P c,DCP dc,P *lcp) if ( NUM(COEF(dct)) ) continue; /* constant part */ - substvp_sf(vl,rvl,COEF(dct),0,&f); + substvp_sf(vl,rvl,COEF(dct),mev,&f); d = QTOS(DEG(dct)); for ( i = 0, c1 = c; i < d; i++ ) if ( !divtp(vl,c1,f,&c2) ) @@ -819,7 +839,7 @@ void shift_sf(VL vl, VL rvl, P f, int *mev, int sgn, P * pp(f(0)) = u0*v0 */ -void mfctrsf_hensel(VL vl,VL rvl,P f,P pp0,P u0,P v0,P lcu,P lcv,P *up) +void mfctrsf_hensel(VL vl,VL rvl,P f,P pp0,P u0,P v0,P lcu,P lcv,int *mev,P *up) { VL tvl,onevl; P t,s,w,u,v,ff,si,wu,wv,fj,cont; @@ -828,18 +848,28 @@ void mfctrsf_hensel(VL vl,VL rvl,P f,P pp0,P u0,P v0,P int dy,n,i,dbd,nv,j; int *md; P *uh,*vh; - P x,du0,dv0,m,q,r; + P x,du0,dv0,m,q,r,fin; P *cu,*cv; GFSN inv; - /* adjust coeffs */ - /* u0 = am x^m+ ... -> lcu*x^m + a(m-1)*(lcu(0)/am)*x^(m-1)+... */ - /* v0 = bm x^l+ ... -> lcv*x^l + b(l-1)*(lcv(0)/bl)*x^(l-1)+... */ + /* check the validity of lc's and adjust coeffs */ /* f -> lcu*lcv*x^(m+l)+... */ - adjust_coef_sf(vl,rvl,lcu,u0,&u); - adjust_coef_sf(vl,rvl,lcv,v0,&v); - mulp(vl,lcu,lcv,&t); divsp(vl,t,LC(f),&m); mulp(vl,m,f,&t); f = t; + mulp(vl,lcu,lcv,&t); + if ( !divtp(vl,t,LC(f),&m) ) { + *up = 0; return; + } + mulp(vl,m,f,&t); f = t; + /* u0 = am x^m+ ... -> lcu*x^m + a(m-1)*(lcu(mev)/am)*x^(m-1)+... */ + /* v0 = bm x^l+ ... -> lcv*x^l + b(l-1)*(lcv(mev)/bl)*x^(l-1)+... */ + adjust_coef_sf(vl,rvl,lcu,u0,mev,&u); + adjust_coef_sf(vl,rvl,lcv,v0,mev,&v); + /* f <- f(X+mev), u <- u(X+mev), v <- v(X+mev) */ + fin = f; + shift_sf(vl,rvl,f,mev,1,&s); f = s; + shift_sf(vl,rvl,u,mev,1,&s); u = s; + shift_sf(vl,rvl,v,mev,1,&s); v = s; + vx = vl->v; vy = NEXT(vl)->v; n = getdeg(vx,f); dy = getdeg(vy,f)+1; @@ -930,14 +960,16 @@ void mfctrsf_hensel(VL vl,VL rvl,P f,P pp0,P u0,P v0,P } if ( !wu ) { gfsn_poly_to_poly(vl,u,vy,&t); - if ( divtp(vl,f,t,&q) ) { - cont_pp_mv_sf(vl,onevl,t,&cont,up); + shift_sf(vl,rvl,t,mev,-1,&s); + if ( divtp(vl,fin,s,&q) ) { + cont_pp_mv_sf(vl,onevl,s,&cont,up); return; } } if ( !wv ) { gfsn_poly_to_poly(vl,v,vy,&t); - if ( divtp(vl,f,t,&q) ) { + shift_sf(vl,rvl,t,mev,-1,&s); + if ( divtp(vl,fin,s,&q) ) { cont_pp_mv_sf(vl,onevl,q,&cont,up); return; } @@ -947,14 +979,20 @@ void mfctrsf_hensel(VL vl,VL rvl,P f,P pp0,P u0,P v0,P addp(vl,v,wv,&t); v = t; addp(vl,vh[j],wv,&t); vh[j] = t; } + gfsn_poly_to_poly(vl,u,vy,&t); + shift_sf(vl,rvl,t,mev,-1,&s); + if ( divtp(vl,fin,s,&q) ) + cont_pp_mv_sf(vl,onevl,s,&cont,up); + else + *up = 0; } -void adjust_coef_sf(VL vl,VL rvl,P lcu,P u0,P *r) +void adjust_coef_sf(VL vl,VL rvl,P lcu,P u0,int *mev,P *r) { P lcu0,cu; DCP dc0,dcu,dc; - substvp_sf(vl,rvl,lcu,0,&lcu0); + substvp_sf(vl,rvl,lcu,mev,&lcu0); divsp(vl,lcu0,LC(u0),&cu); for ( dc0 = 0, dcu = DC(u0); dcu; dcu = NEXT(dcu) ) { if ( !dc0 ) {