=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/nd.c,v retrieving revision 1.143 retrieving revision 1.152 diff -u -p -r1.143 -r1.152 --- OpenXM_contrib2/asir2000/engine/nd.c 2006/08/09 02:48:49 1.143 +++ OpenXM_contrib2/asir2000/engine/nd.c 2006/12/21 07:45:02 1.152 @@ -1,4 +1,4 @@ -/* $OpenXM$ */ +/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.151 2006/12/14 02:49:59 noro Exp $ */ #include "nd.h" @@ -8,7 +8,10 @@ int nd_dcomp; NM _nm_free_list; ND _nd_free_list; ND_pairs _ndp_free_list; +NODE nd_hcf; +static NODE nd_subst; +static VL nd_vc; static int nd_ntrans; static int nd_nalg; #if 0 @@ -47,9 +50,12 @@ static int nd_demand; NumberField get_numberfield(); UINT *nd_det_compute_bound(NDV **dm,int n,int j); void nd_det_reconstruct(NDV **dm,int n,int j,NDV d); +void nd_heu_nezgcdnpz(VL vl,P *pl,int m,int full,P *pr); int nd_monic(int m,ND *p); NDV plain_vect_to_ndv_q(Q *mat,int col,UINT *s0vect); +extern int Denominator,DP_Multiple; + void nd_free_private_storage() { _nm_free_list = 0; @@ -976,13 +982,13 @@ ND nd_add(int mod,ND p1,ND p2) int nm_destructive_add_q(NM *m1,NM *m2,NM *mr0,NM *mr) { NM s; - Q t; + P t; int can; - addq(CQ(*m1),CQ(*m2),&t); + addp(nd_vc,CP(*m1),CP(*m2),&t); s = *m1; *m1 = NEXT(*m1); if ( t ) { - can = 1; NEXTNM2(*mr0,*mr,s); CQ(*mr) = (t); + can = 1; NEXTNM2(*mr0,*mr,s); CP(*mr) = (t); } else { can = 2; FREENM(s); } @@ -995,7 +1001,7 @@ ND nd_add_q(ND p1,ND p2) int n,c,can; ND r; NM m1,m2,mr0,mr,s; - Q t; + P t; if ( !p1 ) return p2; else if ( !p2 ) return p1; @@ -1008,10 +1014,10 @@ ND nd_add_q(ND p1,ND p2) #if defined(__x86_64__) can += nm_destructive_add_q(&m1,&m2,&mr0,&mr); #else - addq(CQ(m1),CQ(m2),&t); + addp(nd_vc,CP(m1),CP(m2),&t); s = m1; m1 = NEXT(m1); if ( t ) { - can++; NEXTNM2(mr0,mr,s); CQ(mr) = (t); + can++; NEXTNM2(mr0,mr,s); CP(mr) = (t); } else { can += 2; FREENM(s); } @@ -1088,10 +1094,41 @@ ND nd_add_sf(ND p1,ND p2) } } +ND nd_reduce2(int mod,ND d,ND g,NDV p,NM mul,NDC dn) +{ + int c,c1,c2; + Q cg,cred,gcd,tq; + P cgp,credp,gcdp; + Obj tr,tr1; + + if ( mod == -1 ) + CM(mul) = _mulsf(_invsf(HCM(p)),_chsgnsf(HCM(g))); + else if ( mod ) { + c1 = invm(HCM(p),mod); c2 = mod-HCM(g); + DMAR(c1,c2,0,mod,c); CM(mul) = c; + } else if ( nd_vc ) { + ezgcdpz(nd_vc,HCP(g),HCP(p),&gcdp); + divsp(nd_vc,HCP(g),gcdp,&cgp); divsp(nd_vc,HCP(p),gcdp,&credp); + chsgnp(cgp,&CP(mul)); + nd_mul_c_q(d,credp); nd_mul_c_q(g,credp); + if ( dn ) { + mulr(nd_vc,(Obj)dn->r,(Obj)credp,&tr); + reductr(nd_vc,tr,&tr1); dn->r = (R)tr1; + } + } else { + igcd_cofactor(HCQ(g),HCQ(p),&gcd,&cg,&cred); + chsgnq(cg,&CQ(mul)); + nd_mul_c_q(d,(P)cred); nd_mul_c_q(g,(P)cred); + if ( dn ) { + mulq(dn->z,cred,&tq); dn->z = tq; + } + } + return nd_add(mod,g,ndv_mul_nm(mod,mul,p)); +} + /* ret=1 : success, ret=0 : overflow */ -int nd_nf(int mod,ND g,NDV *ps,int full,NDC dn,ND *rp) +int nd_nf(int mod,ND d,ND g,NDV *ps,int full,NDC dn,ND *rp) { - ND d; NM m,mrd,tail; NM mul; int n,sugar,psugar,sugar0,stat,index; @@ -1100,23 +1137,29 @@ int nd_nf(int mod,ND g,NDV *ps,int full,NDC dn,ND *rp) NDV p,red; Q cg,cred,gcd,tq,qq; double hmag; + P tp,tp1; + Obj tr,tr1; if ( dn ) { if ( mod ) dn->m = 1; + else if ( nd_vc ) + dn->r = (R)ONE; else dn->z = ONE; } if ( !g ) { - *rp = 0; + *rp = d; return 1; } - if ( !mod ) hmag = ((double)p_mag((P)HCQ(g)))*nd_scale; + if ( !mod ) hmag = ((double)p_mag(HCP(g)))*nd_scale; sugar0 = sugar = SG(g); n = NV(g); mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT)); - for ( d = 0; g; ) { + if ( d ) + for ( tail = BDY(d); NEXT(tail); tail = NEXT(tail) ); + for ( ; g; ) { index = ndl_find_reducer(HDL(g)); if ( index >= 0 ) { h = nd_psh[index]; @@ -1125,32 +1168,23 @@ int nd_nf(int mod,ND g,NDV *ps,int full,NDC dn,ND *rp) nd_free(g); nd_free(d); return 0; } - if ( nd_demand ) - p = ndv_load(index); - else - p = ps[index]; - if ( mod == -1 ) - CM(mul) = _mulsf(_invsf(HCM(p)),_chsgnsf(HCM(g))); - else if ( mod ) { - c1 = invm(HCM(p),mod); c2 = mod-HCM(g); - DMAR(c1,c2,0,mod,c); CM(mul) = c; - } else { - igcd_cofactor(HCQ(g),HCQ(p),&gcd,&cg,&cred); - chsgnq(cg,&CQ(mul)); - nd_mul_c_q(d,cred); nd_mul_c_q(g,cred); - if ( dn ) { - mulq(dn->z,cred,&tq); dn->z = tq; - } - } - g = nd_add(mod,g,ndv_mul_nm(mod,mul,p)); + p = nd_demand ? ndv_load(index) : ps[index]; + g = nd_reduce2(mod,d,g,p,mul,dn); sugar = MAX(sugar,SG(p)+TD(DL(mul))); - if ( !mod && hmag && g && ((double)(p_mag((P)HCQ(g))) > hmag) ) { - tq = HCQ(g); + if ( !mod && g && ((double)(p_mag(HCP(g))) > hmag) ) { + tp = HCP(g); nd_removecont2(d,g); if ( dn ) { - divq(tq,HCQ(g),&qq); divq(dn->z,qq,&tq); dn->z = tq; + if ( nd_vc ) { + divsp(nd_vc,tp,HCP(g),&tp1); + divr(nd_vc,(Obj)dn->r,(Obj)tp1,&tr); + reductr(nd_vc,(Obj)tr,&tr1); dn->r = (R)tr1; + } else { + divq((Q)tp,HCQ(g),&qq); + divq(dn->z,qq,&tq); dn->z = tq; + } } - hmag = ((double)p_mag((P)HCQ(g)))*nd_scale; + hmag = ((double)p_mag(HCP(g)))*nd_scale; } } else if ( !full ) { *rp = g; @@ -1231,7 +1265,7 @@ int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *rp } else { igcd_cofactor(HCQ(g),HCQ(p),&gcd,&cg,&cred); chsgnq(cg,&CQ(mul)); - nd_mul_c_q(d,cred); + nd_mul_c_q(d,(P)cred); mulq_pbucket(bucket,cred); g = bucket->body[hindex]; gmag = (double)p_mag((P)HCQ(g)); @@ -1286,7 +1320,7 @@ int ndv_check_candidate(NODE input,int obpe,int oadv,E NODE t,s; union oNDC dn; - ndv_setup(0,0,cand,0); + ndv_setup(0,0,cand,0,1); n = length(cand); /* membercheck : list is a subset of Id(cand) ? */ @@ -1297,7 +1331,7 @@ again: else r = (NDV)BDY(t); d = ndvtond(0,r); - stat = nd_nf(0,d,nd_ps,0,0,&nf); + stat = nd_nf(0,0,d,nd_ps,0,0,&nf); if ( !stat ) { nd_reconstruct(0,0); goto again; @@ -1404,7 +1438,7 @@ void mulq_pbucket(PGeoBucket g,Q c) int k; for ( k = 0; k <= g->m; k++ ) - nd_mul_c_q(g->body[k],c); + nd_mul_c_q(g->body[k],(P)c); } NM remove_head_pbucket_symbolic(PGeoBucket g) @@ -1539,6 +1573,68 @@ ND normalize_pbucket(int mod,PGeoBucket g) return r; } +#if 0 +void register_hcf(NDV p) +{ + DCP dc,t; + P hc,h; + int c; + NODE l,l1,prev; + + hc = p->body->c.p; + if ( !nd_vc || NUM(hc) ) return; + fctrp(nd_vc,hc,&dc); + for ( t = dc; t; t = NEXT(t) ) { + h = t->c; + if ( NUM(h) ) continue; + for ( prev = 0, l = nd_hcf; l; prev = l, l = NEXT(l) ) { + c = compp(nd_vc,h,(P)BDY(l)); + if ( c >= 0 ) break; + } + if ( !l || c > 0 ) { + MKNODE(l1,h,l); + if ( !prev ) + nd_hcf = l1; + else + NEXT(prev) = l1; + } + } +} +#else +void register_hcf(NDV p) +{ + DCP dc,t; + P hc,h,q; + Q dmy; + int c; + NODE l,l1,prev; + + hc = p->body->c.p; + if ( NUM(hc) ) return; + ptozp(hc,1,&dmy,&h); +#if 1 + for ( l = nd_hcf; l; l = NEXT(l) ) { + while ( 1 ) { + if ( divtpz(nd_vc,h,(P)BDY(l),&q) ) h = q; + else break; + } + } + if ( NUM(h) ) return; +#endif + for ( prev = 0, l = nd_hcf; l; prev = l, l = NEXT(l) ) { + c = compp(nd_vc,h,(P)BDY(l)); + if ( c >= 0 ) break; + } + if ( !l || c > 0 ) { + MKNODE(l1,h,l); + if ( !prev ) + nd_hcf = l1; + else + NEXT(prev) = l1; + } +} +#endif + int do_diagonalize(int sugar,int m) { int i,nh,stat; @@ -1546,7 +1642,7 @@ int do_diagonalize(int sugar,int m) ND h,nf,s,head; NDV nfv; Q q,num,den; - union oNDC dn; + P nm,nmp,dn,mnp,dnp; for ( i = nd_psn-1; i >= 0 && SG(nd_psh[i]) == sugar; i-- ) { if ( nd_demand ) @@ -1555,22 +1651,14 @@ int do_diagonalize(int sugar,int m) nfv = nd_ps[i]; s = ndvtond(m,nfv); s = nd_separate_head(s,&head); - stat = nd_nf(m,s,nd_ps,1,&dn,&nf); + stat = nd_nf(m,head,s,nd_ps,1,0,&nf); if ( !stat ) return 0; - if ( !m ) { - NTOQ(NM(dn.z),SGN(dn.z),num); - mulq(HCQ(head),num,&q); HCQ(head) = q; - if ( DN(dn.z) ) { - NTOQ(DN(dn.z),1,den); - nd_mul_c_q(nf,den); - } - } - nf = nd_add(m,head,nf); ndv_free(nfv); nd_removecont(m,nf); nfv = ndtondv(m,nf); nd_free(nf); nd_bound[i] = ndv_compute_bound(nfv); + if ( !m ) register_hcf(nfv); if ( nd_demand ) { ndv_save(nfv,i); ndv_free(nfv); @@ -1623,9 +1711,9 @@ again: goto again; } #if USE_GEOBUCKET - stat = m?nd_nf_pbucket(m,h,nd_ps,!Top,&nf):nd_nf(m,h,nd_ps,!Top,0,&nf); + stat = m?nd_nf_pbucket(m,h,nd_ps,!Top,&nf):nd_nf(m,0,h,nd_ps,!Top,0,&nf); #else - stat = nd_nf(m,h,nd_ps,!Top,0,&nf); + stat = nd_nf(m,0,h,nd_ps,!Top,0,&nf); #endif if ( !stat ) { NEXT(l) = d; d = l; @@ -1664,6 +1752,7 @@ again: else for ( t = g; t; t = NEXT(t) ) BDY(t) = (pointer)nd_ps[(int)BDY(t)]; + if ( !checkonly && DP_Print ) { printf("nd_gb done.\n"); fflush(stdout); } return g; } @@ -1674,7 +1763,6 @@ int do_diagonalize_trace(int sugar,int m) ND h,nf,nfq,s,head; NDV nfv,nfqv; Q q,den,num; - union oNDC dn; for ( i = nd_psn-1; i >= 0 && SG(nd_psh[i]) == sugar; i-- ) { /* for nd_ps */ @@ -1694,20 +1782,14 @@ int do_diagonalize_trace(int sugar,int m) nfv = nd_ps_trace[i]; s = ndvtond(0,nfv); s = nd_separate_head(s,&head); - stat = nd_nf(0,s,nd_ps_trace,1,&dn,&nf); + stat = nd_nf(0,head,s,nd_ps_trace,1,0,&nf); if ( !stat ) return 0; - NTOQ(NM(dn.z),SGN(dn.z),num); - mulq(HCQ(head),num,&q); HCQ(head) = q; - if ( DN(dn.z) ) { - NTOQ(DN(dn.z),1,den); - nd_mul_c_q(nf,den); - } - nf = nd_add(0,head,nf); ndv_free(nfv); nd_removecont(0,nf); nfv = ndtondv(0,nf); nd_free(nf); nd_bound[i] = ndv_compute_bound(nfv); + register_hcf(nfv); if ( nd_demand ) { ndv_save(nfv,i); ndv_free(nfv); @@ -1720,6 +1802,17 @@ int do_diagonalize_trace(int sugar,int m) static struct oEGT eg_invdalg; struct oEGT eg_le; +void nd_subst_vector(VL vl,P p,NODE subst,P *r) +{ + NODE tn; + P p1; + + for ( tn = subst; tn; tn = NEXT(NEXT(tn)) ) { + substp(vl,p,BDY(tn),BDY(NEXT(tn)),&p1); p = p1; + } + *r = p; +} + NODE nd_gb_trace(int m,int ishomo) { int i,nh,sugar,stat; @@ -1729,6 +1822,7 @@ NODE nd_gb_trace(int m,int ishomo) ND h,nf,nfq,s,head; NDV nfv,nfqv; Q q,den,num; + P hc; union oNDC dn; struct oEGT eg_monic,egm0,egm1; int diag_count = 0; @@ -1748,7 +1842,9 @@ again: if ( SG(l) != sugar ) { #if 1 if ( ishomo ) { + if ( DP_Print > 2 ) fprintf(asir_out,"|"); stat = do_diagonalize_trace(sugar,m); + if ( DP_Print > 2 ) fprintf(asir_out,"|"); diag_count = 0; if ( !stat ) { NEXT(l) = d; d = l; @@ -1769,7 +1865,7 @@ again: #if USE_GEOBUCKET stat = nd_nf_pbucket(m,h,nd_ps,!Top,&nf); #else - stat = nd_nf(m,h,nd_ps,!Top,0,&nf); + stat = nd_nf(m,0,h,nd_ps,!Top,0,&nf); #endif if ( !stat ) { NEXT(l) = d; d = l; @@ -1782,7 +1878,7 @@ again: } else nfq = 0; if ( !nfq ) { - if ( !nd_sp(0,1,l,&h) || !nd_nf(0,h,nd_ps_trace,!Top,0,&nfq) ) { + if ( !nd_sp(0,1,l,&h) || !nd_nf(0,0,h,nd_ps_trace,!Top,0,&nfq) ) { NEXT(l) = d; d = l; d = nd_reconstruct(1,d); goto again; @@ -1790,7 +1886,11 @@ again: } if ( nfq ) { /* m|HC(nfq) => failure */ - if ( !rem(NM(HCQ(nfq)),m) ) return 0; + if ( nd_vc ) { + nd_subst_vector(nd_vc,HCP(nfq),nd_subst,&hc); q = (Q)hc; + } else + q = HCQ(nfq); + if ( !rem(NM(q),m) ) return 0; if ( DP_Print ) { printf("+"); fflush(stdout); } if ( nd_nalg ) { @@ -1807,7 +1907,9 @@ again: nh = ndv_newps(0,nfv,nfqv); if ( ishomo && ++diag_count == diag_period ) { diag_count = 0; + if ( DP_Print > 2 ) fprintf(asir_out,"|"); stat = do_diagonalize_trace(sugar,m); + if ( DP_Print > 2 ) fprintf(asir_out,"|"); if ( !stat ) { NEXT(l) = d; d = l; d = nd_reconstruct(1,d); @@ -1835,6 +1937,7 @@ again: print_eg("invdalg",&eg_invdalg); print_eg("le",&eg_le); } + if ( DP_Print ) { printf("nd_gb_trace done.\n"); fflush(stdout); } return g; } @@ -1865,24 +1968,15 @@ NODE ndv_reduceall(int m,NODE f) (int (*)(const void *,const void *))ndv_compare); for ( t = f, i = 0; t; i++, t = NEXT(t) ) BDY(t) = (pointer)w[i]; #endif - ndv_setup(m,0,f,0); + ndv_setup(m,0,f,0,1); for ( i = 0; i < n; ) { g = ndvtond(m,nd_ps[i]); g = nd_separate_head(g,&head); - stat = nd_nf(m,g,nd_ps,1,&dn,&nf); + stat = nd_nf(m,head,g,nd_ps,1,0,&nf); if ( !stat ) nd_reconstruct(0,0); else { if ( DP_Print ) { printf("."); fflush(stdout); } - if ( !m ) { - NTOQ(NM(dn.z),SGN(dn.z),num); - mulq(HCQ(head),num,&q); HCQ(head) = q; - if ( DN(dn.z) ) { - NTOQ(DN(dn.z),1,den); - nd_mul_c_q(nf,den); - } - } - nf = nd_add(m,head,nf); ndv_free(nd_ps[i]); nd_removecont(m,nf); nd_ps[i] = ndtondv(m,nf); nd_free(nf); @@ -2187,9 +2281,11 @@ int ndv_newps(int m,NDV a,NDV aq) nd_ps[nd_psn] = a; if ( aq ) { nd_ps_trace[nd_psn] = aq; + register_hcf(aq); nd_bound[nd_psn] = ndv_compute_bound(aq); SG(r) = SG(aq); ndl_copy(HDL(aq),DL(r)); } else { + if ( !m ) register_hcf(a); nd_bound[nd_psn] = ndv_compute_bound(a); SG(r) = SG(a); ndl_copy(HDL(a),DL(r)); } @@ -2205,7 +2301,7 @@ int ndv_newps(int m,NDV a,NDV aq) return nd_psn++; } -void ndv_setup(int mod,int trace,NODE f,int dont_sort) +void ndv_setup(int mod,int trace,NODE f,int dont_sort,int dont_removecont) { int i,j,td,len,max; NODE s,s0,f0; @@ -2233,20 +2329,28 @@ void ndv_setup(int mod,int trace,NODE f,int dont_sort) nd_ps_trace = (NDV *)MALLOC(nd_pslen*sizeof(NDV)); nd_psh = (RHist *)MALLOC(nd_pslen*sizeof(RHist)); nd_bound = (UINT **)MALLOC(nd_pslen*sizeof(UINT *)); + nd_hcf = 0; + if ( trace && nd_vc ) + makesubst(nd_vc,&nd_subst); + else + nd_subst = 0; + if ( !nd_red ) nd_red = (RHist *)MALLOC(REDTAB_LEN*sizeof(RHist)); for ( i = 0; i < REDTAB_LEN; i++ ) nd_red[i] = 0; for ( i = 0; i < nd_psn; i++ ) { if ( trace ) { a = nd_ps_trace[i] = ndv_dup(0,w[i]); - ndv_removecont(0,a); + if ( !dont_removecont) ndv_removecont(0,a); + register_hcf(a); am = nd_ps[i] = ndv_dup(mod,a); ndv_mod(mod,am); ndv_removecont(mod,am); } else { a = nd_ps[i] = ndv_dup(mod,w[i]); - ndv_removecont(mod,a); + if ( mod || !dont_removecont ) ndv_removecont(mod,a); + if ( !mod ) register_hcf(a); } NEWRHist(r); SG(r) = HTD(a); ndl_copy(HDL(a),DL(r)); nd_bound[i] = ndv_compute_bound(a); @@ -2376,7 +2480,8 @@ void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe NDV b; int ishomo,nalg; Alg alpha,dp; - P p; + P p,zp; + Q dmy; LIST f1,f2; Obj obj; NumberField nf; @@ -2385,10 +2490,12 @@ void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe if ( !m && Demand ) nd_demand = 1; else nd_demand = 0; + if ( DP_Multiple ) + nd_scale = ((double)DP_Multiple)/(double)(Denominator?Denominator:1); #if 0 ndv_alloc = 0; #endif - get_vars((Obj)f,&fv); pltovl(v,&vv); + get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc); for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); switch ( ord->id ) { case 1: @@ -2422,14 +2529,15 @@ void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe nd_setup_parameters(nvar,max); ishomo = 1; for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) { - b = (pointer)ptondv(CO,vv,(P)BDY(t)); + ptozp((P)BDY(t),1,&dmy,&zp); + b = (pointer)ptondv(CO,vv,zp); if ( ishomo ) ishomo = ishomo && ndv_ishomo(b); if ( m ) ndv_mod(m,b); if ( b ) { NEXTNODE(fd0,fd); BDY(fd) = (pointer)b; } } if ( fd0 ) NEXT(fd) = 0; - ndv_setup(m,0,fd0,0); + ndv_setup(m,0,fd0,0,0); x = f4?nd_f4(m):nd_gb(m,ishomo,0); nd_demand = 0; x = ndv_reducebase(x); @@ -2455,13 +2563,14 @@ void nd_gr_postproc(LIST f,LIST v,int m,struct order_s NDV b; int ishomo,nalg; Alg alpha,dp; - P p; + P p,zp; + Q dmy; LIST f1,f2; Obj obj; NumberField nf; struct order_spec *ord1; - get_vars((Obj)f,&fv); pltovl(v,&vv); + get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc); for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); switch ( ord->id ) { case 1: @@ -2495,14 +2604,15 @@ void nd_gr_postproc(LIST f,LIST v,int m,struct order_s nd_setup_parameters(nvar,max); ishomo = 1; for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) { - b = (pointer)ptondv(CO,vv,(P)BDY(t)); + ptozp((P)BDY(t),1,&dmy,&zp); + b = (pointer)ptondv(CO,vv,zp); if ( ishomo ) ishomo = ishomo && ndv_ishomo(b); if ( m ) ndv_mod(m,b); if ( b ) { NEXTNODE(fd0,fd); BDY(fd) = (pointer)b; } } if ( fd0 ) NEXT(fd) = 0; - ndv_setup(m,0,fd0,0); + ndv_setup(m,0,fd0,0,1); for ( x = 0, i = 0; i < nd_psn; i++ ) x = update_base(x,i); if ( do_check ) { @@ -2534,7 +2644,8 @@ void nd_gr_trace(LIST f,LIST v,int trace,int homo,int int m,nocheck,nvar,mindex,e,max; NDV c; NMV a; - P p; + P p,zp; + Q dmy; EPOS oepos; int obpe,oadv,wmax,i,len,cbpe,ishomo,nalg; Alg alpha,dp; @@ -2543,8 +2654,12 @@ void nd_gr_trace(LIST f,LIST v,int trace,int homo,int Obj obj; NumberField nf; struct order_spec *ord1; + struct oEGT eg_check,eg0,eg1; - get_vars((Obj)f,&fv); pltovl(v,&vv); + if ( DP_Multiple ) + nd_scale = ((double)DP_Multiple)/(double)(Denominator?Denominator:1); + + get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc); for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); switch ( ord->id ) { case 1: @@ -2589,7 +2704,8 @@ void nd_gr_trace(LIST f,LIST v,int trace,int homo,int obpe = nd_bpe; oadv = nmv_adv; oepos = nd_epos; ishomo = 1; for ( in0 = 0, fd0 = 0, t = BDY(f); t; t = NEXT(t) ) { - c = ptondv(CO,vv,(P)BDY(t)); + ptozp((P)BDY(t),1,&dmy,&zp); + c = (pointer)ptondv(CO,vv,zp); if ( ishomo ) ishomo = ishomo && ndv_ishomo(c); if ( c ) { @@ -2614,7 +2730,7 @@ void nd_gr_trace(LIST f,LIST v,int trace,int homo,int while ( 1 ) { if ( Demand ) nd_demand = 1; - ndv_setup(m,1,fd0,0); + ndv_setup(m,1,fd0,0,0); cand = f4?nd_f4_trace(m):nd_gb_trace(m,ishomo || homo); if ( !cand ) { /* failure */ @@ -2634,6 +2750,7 @@ void nd_gr_trace(LIST f,LIST v,int trace,int homo,int cbpe = nd_bpe; if ( nocheck ) break; + get_eg(&eg0); if ( ndv_check_candidate(in0,obpe,oadv,oepos,cand) ) /* success */ break; @@ -2653,6 +2770,9 @@ void nd_gr_trace(LIST f,LIST v,int trace,int homo,int } } } + get_eg(&eg1); init_eg(&eg_check); add_eg(&eg_check,&eg0,&eg1); + if ( DP_Print ) + fprintf(asir_out,"check=%fsec\n",eg_check.exectime+eg_check.gctime); /* dp->p */ nd_bpe = cbpe; nd_setup_parameters(nd_nvar,0); @@ -2789,7 +2909,7 @@ void nd_removecont(int mod,ND p) v.len = n; v.body = (pointer *)w; for ( m = BDY(p), i = 0; i < n; m = NEXT(m), i++ ) w[i] = CQ(m); - removecont_array(w,n); + removecont_array((P *)w,n,1); for ( m = BDY(p), i = 0; i < n; m = NEXT(m), i++ ) CQ(m) = w[i]; } } @@ -2803,29 +2923,32 @@ void nd_removecont2(ND p1,ND p2) struct oVECT v; N q,r; - if ( !p1 ) { - nd_removecont(0,p2); return; - } else if ( !p2 ) { - nd_removecont(0,p1); return; - } n1 = nd_length(p1); n2 = nd_length(p2); n = n1+n2; w = (Q *)ALLOCA(n*sizeof(Q)); v.len = n; v.body = (pointer *)w; - for ( m = BDY(p1), i = 0; i < n1; m = NEXT(m), i++ ) w[i] = CQ(m); - for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) w[i] = CQ(m); - removecont_array(w,n); - for ( m = BDY(p1), i = 0; i < n1; m = NEXT(m), i++ ) CQ(m) = w[i]; - for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) CQ(m) = w[i]; + i = 0; + if ( p1 ) + for ( m = BDY(p1); i < n1; m = NEXT(m), i++ ) w[i] = CQ(m); + if ( p2 ) + for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) w[i] = CQ(m); + removecont_array((P *)w,n,1); + i = 0; + if ( p1 ) + for ( m = BDY(p1); i < n1; m = NEXT(m), i++ ) CQ(m) = w[i]; + if ( p2 ) + for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) CQ(m) = w[i]; } void ndv_removecont(int mod,NDV p) { - int i,len; - Q *w; + int i,len,all_p; + Q *c; + P *w; Q dvr,t; + P g,cont,tp; NMV m; if ( mod == -1 ) @@ -2834,13 +2957,25 @@ void ndv_removecont(int mod,NDV p) ndv_mul_c(mod,p,invm(HCM(p),mod)); else { len = p->len; - w = (Q *)ALLOCA(len*sizeof(Q)); - for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) w[i] = CQ(m); - sortbynm(w,len); - qltozl(w,len,&dvr); - for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) { - divq(CQ(m),dvr,&t); CQ(m) = t; + w = (P *)ALLOCA(len*sizeof(P)); + c = (Q *)ALLOCA(len*sizeof(Q)); + for ( m = BDY(p), all_p = 1, i = 0; i < len; NMV_ADV(m), i++ ) { + ptozp(CP(m),1,&c[i],&w[i]); + all_p = all_p && !NUM(w[i]); } + if ( all_p ) { + qltozl(c,len,&dvr); nd_heu_nezgcdnpz(nd_vc,w,len,1,&g); + mulp(nd_vc,(P)dvr,g,&cont); + for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) { + divsp(nd_vc,CP(m),cont,&tp); CP(m) = tp; + } + } else { + sortbynm((Q *)c,len); + qltozl((Q *)c,len,&dvr); + for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) { + divsp(nd_vc,CP(m),(P)dvr,&tp); CP(m) = tp; + } + } } } @@ -2890,8 +3025,65 @@ void ndv_dehomogenize(NDV p,struct order_spec *ord) NV(p)--; } -void removecont_array(Q *c,int n) +void nd_heu_nezgcdnpz(VL vl,P *pl,int m,int full,P *pr) { + int i; + P *tpl,*tpl1; + NODE l; + P h,gcd,t; + + tpl = (P *)ALLOCA(m*sizeof(P)); + tpl1 = (P *)ALLOCA(m*sizeof(P)); + bcopy(pl,tpl,m*sizeof(P)); + gcd = (P)ONE; + for ( l = nd_hcf; l; l = NEXT(l) ) { + h = (P)BDY(l); + while ( 1 ) { + for ( i = 0; i < m; i++ ) + if ( !divtpz(vl,tpl[i],h,&tpl1[i]) ) + break; + if ( i == m ) { + bcopy(tpl1,tpl,m*sizeof(P)); + mulp(vl,gcd,h,&t); gcd = t; + } else + break; + } + } + if ( DP_Print > 2 ){fprintf(asir_out,"[%d]",nmonop(gcd)); fflush(asir_out);} + if ( full ) { + heu_nezgcdnpz(vl,tpl,m,&t); + mulp(vl,gcd,t,pr); + } else + *pr = gcd; +} + +void removecont_array(P *p,int n,int full) +{ + int all_p,all_q,i; + Q *c; + P *w; + P t,s; + + for ( all_q = 1, i = 0; i < n; i++ ) + all_q = all_q && NUM(p[i]); + if ( all_q ) { + removecont_array_q((Q *)p,n); + } else { + c = (Q *)ALLOCA(n*sizeof(Q)); + w = (P *)ALLOCA(n*sizeof(P)); + for ( i = 0; i < n; i++ ) { + ptozp(p[i],1,&c[i],&w[i]); + } + removecont_array_q(c,n); + nd_heu_nezgcdnpz(nd_vc,w,n,full,&t); + for ( i = 0; i < n; i++ ) { + divsp(nd_vc,w[i],t,&s); mulp(nd_vc,s,(P)c[i],&p[i]); + } + } +} + +void removecont_array_q(Q *c,int n) +{ struct oVECT v; Q d0,d1,a,u,u1,gcd; int i,j; @@ -2941,15 +3133,15 @@ void nd_mul_c(int mod,ND p,int mul) } } -void nd_mul_c_q(ND p,Q mul) +void nd_mul_c_q(ND p,P mul) { NM m; - Q c; + P c; if ( !p ) return; if ( UNIQ(mul) ) return; for ( m = BDY(p); m; m = NEXT(m) ) { - mulq(CQ(m),mul,&c); CQ(m) = c; + mulp(nd_vc,CP(m),mul,&c); CP(m) = c; } } @@ -3239,10 +3431,12 @@ ND nd_copy(ND p) int nd_sp(int mod,int trace,ND_pairs p,ND *rp) { - NM m; + NM m1,m2; NDV p1,p2; ND t1,t2; UINT *lcm; + P gp,tp; + Q g,t; int td; if ( !mod && nd_demand ) { @@ -3255,23 +3449,29 @@ int nd_sp(int mod,int trace,ND_pairs p,ND *rp) } } lcm = LCM(p); - NEWNM(m); - CQ(m) = HCQ(p2); - ndl_sub(lcm,HDL(p1),DL(m)); - if ( ndl_check_bound2(p->i1,DL(m)) ) - return 0; - t1 = ndv_mul_nm(mod,m,p1); - if ( mod == -1 ) CM(m) = _chsgnsf(HCM(p1)); - else if ( mod ) CM(m) = mod-HCM(p1); - else chsgnq(HCQ(p1),&CQ(m)); - ndl_sub(lcm,HDL(p2),DL(m)); - if ( ndl_check_bound2(p->i2,DL(m)) ) { - nd_free(t1); - return 0; + NEWNM(m1); ndl_sub(lcm,HDL(p1),DL(m1)); + if ( ndl_check_bound2(p->i1,DL(m1)) ) { + FREENM(m1); return 0; } - t2 = ndv_mul_nm(mod,m,p2); + NEWNM(m2); ndl_sub(lcm,HDL(p2),DL(m2)); + if ( ndl_check_bound2(p->i2,DL(m2)) ) { + FREENM(m1); FREENM(m2); return 0; + } + + if ( mod == -1 ) { + CM(m1) = HCM(p2); CM(m2) = _chsgnsf(HCM(p1)); + } else if ( mod ) { + CM(m1) = HCM(p2); CM(m2) = mod-HCM(p1); + } else if ( nd_vc ) { + ezgcdpz(nd_vc,HCP(p1),HCP(p2),&gp); + divsp(nd_vc,HCP(p2),gp,&CP(m1)); + divsp(nd_vc,HCP(p1),gp,&tp); chsgnp(tp,&CP(m2)); + } else { + igcd_cofactor(HCQ(p1),HCQ(p2),&g,&t,&CQ(m1)); chsgnq(t,&CQ(m2)); + } + t1 = ndv_mul_nm(mod,m1,p1); t2 = ndv_mul_nm(mod,m2,p2); *rp = nd_add(mod,t1,t2); - FREENM(m); + FREENM(m1); FREENM(m2); return 1; } @@ -3473,7 +3673,7 @@ ND ndv_mul_nm(int mod,NM m0,NDV p) NMV m; UINT *d,*dt,*dm; int c,n,td,i,c1,c2,len; - Q q; + P q; ND r; if ( !p ) return 0; @@ -3505,10 +3705,10 @@ ND ndv_mul_nm(int mod,NM m0,NDV p) ndl_add(DL(m),d,DL(mr)); } } else { - q = CQ(m0); + q = CP(m0); for ( i = 0; i < len; i++, NMV_ADV(m) ) { NEXTNM(mr0,mr); - mulq(CQ(m),q,&CQ(mr)); + mulp(nd_vc,CP(m),q,&CP(mr)); ndl_add(DL(m),d,DL(mr)); } } @@ -3651,6 +3851,8 @@ void ndv_mod(int mod,NDV p) NMV t,d; int r,s,u; int i,len,dlen; + P cp; + Q c; Obj gfs; if ( !p ) return; @@ -3667,12 +3869,17 @@ void ndv_mod(int mod,NDV p) } else for ( t = d = BDY(p), i = 0; i < len; i++, NMV_ADV(t) ) { - r = rem(NM(CQ(t)),mod); + if ( nd_vc ) { + nd_subst_vector(nd_vc,CP(t),nd_subst,&cp); + c = (Q)cp; + } else + c = CQ(t); + r = rem(NM(c),mod); if ( r ) { - if ( SGN(CQ(t)) < 0 ) + if ( SGN(c) < 0 ) r = mod-r; - if ( DN(CQ(t)) ) { - s = rem(DN(CQ(t)),mod); + if ( DN(c) ) { + s = rem(DN(c),mod); if ( !s ) error("ndv_mod : division by 0"); s = invm(s,mod); @@ -4032,6 +4239,8 @@ void nd_nf_p(P f,LIST g,LIST v,int m,struct order_spec VL vv,tv; int stat,nvar,max,e; union oNDC dn; + Q cont; + P pp; if ( !f ) { *rp = 0; @@ -4057,7 +4266,8 @@ void nd_nf_p(P f,LIST g,LIST v,int m,struct order_spec /* conversion to ndv */ for ( in0 = 0, t = BDY(g); t; t = NEXT(t) ) { NEXTNODE(in0,in); - BDY(in) = (pointer)ptondv(CO,vv,(P)BDY(t)); + ptozp((P)BDY(t),1,&cont,&pp); + BDY(in) = (pointer)ptondv(CO,vv,pp); if ( m ) ndv_mod(m,(NDV)BDY(in)); } NEXTNODE(in0,in); @@ -4065,13 +4275,13 @@ void nd_nf_p(P f,LIST g,LIST v,int m,struct order_spec if ( m ) ndv_mod(m,(NDV)BDY(in)); NEXT(in) = 0; - /* dont sort */ - ndv_setup(m,0,in0,1); + /* dont sort, dont removecont */ + ndv_setup(m,0,in0,1,1); nd_psn--; nd_scale=2; while ( 1 ) { nd = (pointer)ndvtond(m,nd_ps[nd_psn]); - stat = nd_nf(m,nd,nd_ps,1,0,&nf); + stat = nd_nf(m,0,nd,nd_ps,1,0,&nf); if ( !stat ) { nd_psn++; nd_reconstruct(0,0); @@ -4264,14 +4474,14 @@ int ndv_reduce_vect_q(Q *svect,int trace,int col,IndAr if ( j == col ) break; if ( hmag && ((double)p_mag((P)svect[j]) > hmag) ) { nz = compress_array(svect,cvect,col); - removecont_array(cvect,nz); + removecont_array((P *)cvect,nz,1); expand_array(svect,cvect,nz); hmag = ((double)p_mag((P)svect[j]))*nd_scale; } } } nz = compress_array(svect,cvect,col); - removecont_array(cvect,nz); + removecont_array((P *)cvect,nz,1); expand_array(svect,cvect,nz); if ( DP_Print ) { fprintf(asir_out,"-"); fflush(asir_out);