=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/builtin/dp-supp.c,v retrieving revision 1.8 retrieving revision 1.21 diff -u -p -r1.8 -r1.21 --- OpenXM_contrib2/asir2000/builtin/dp-supp.c 2000/12/08 06:43:09 1.8 +++ OpenXM_contrib2/asir2000/builtin/dp-supp.c 2002/01/28 00:54:41 1.21 @@ -45,10 +45,11 @@ * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. * - * $OpenXM: OpenXM_contrib2/asir2000/builtin/dp-supp.c,v 1.7 2000/12/08 02:39:04 noro Exp $ + * $OpenXM: OpenXM_contrib2/asir2000/builtin/dp-supp.c,v 1.20 2001/10/09 01:36:05 noro Exp $ */ #include "ca.h" #include "base.h" +#include "inline.h" #include "parse.h" #include "ox.h" @@ -66,8 +67,7 @@ extern NODE TraceList; * */ -void dp_ptozp(p,rp) -DP p,*rp; +void dp_ptozp(DP p,DP *rp) { MP m,mr,mr0; int i,n; @@ -94,9 +94,7 @@ DP p,*rp; } } -void dp_ptozp2(p0,p1,hp,rp) -DP p0,p1; -DP *hp,*rp; +void dp_ptozp2(DP p0,DP p1,DP *hp,DP *rp) { DP t,s,h,r; MP m,mr,mr0,m0; @@ -120,10 +118,7 @@ DP *hp,*rp; *hp = h; *rp = r; } -void dp_idiv(p,c,rp) -DP p; -Q c; -DP *rp; +void dp_idiv(DP p,Q c,DP *rp) { Q t; N nm,q; @@ -153,9 +148,7 @@ DP *rp; } } -void dp_mbase(hlist,mbase) -NODE hlist; -NODE *mbase; +void dp_mbase(NODE hlist,NODE *mbase) { DL *dl; DL d; @@ -169,7 +162,8 @@ NODE *mbase; while ( 1 ) { insert_to_node(d,mbase,nvar); for ( i = nvar-1; i >= 0; ) { - d->d[i]++; d->td++; + d->d[i]++; + d->td += MUL_WEIGHT(1,i); for ( j = 0; j < n; j++ ) { if ( _dl_redble(dl[j],d,nvar) ) break; @@ -178,7 +172,7 @@ NODE *mbase; for ( j = nvar-1; j >= i; j-- ) d->d[j] = 0; for ( j = 0, td = 0; j < i; j++ ) - td += d->d[j]; + td += MUL_WEIGHT(d->d[j],j); d->td = td; i--; } else @@ -189,9 +183,7 @@ NODE *mbase; } } -int _dl_redble(d1,d2,nvar) -DL d1,d2; -int nvar; +int _dl_redble(DL d1,DL d2,int nvar) { int i; @@ -206,10 +198,7 @@ int nvar; return 1; } -void insert_to_node(d,n,nvar) -DL d; -NODE *n; -int nvar; +void insert_to_node(DL d,NODE *n,int nvar) { DL d1; MP m; @@ -238,10 +227,7 @@ int nvar; } } -void dp_vtod(c,p,rp) -Q *c; -DP p; -DP *rp; +void dp_vtod(Q *c,DP p,DP *rp) { MP mr0,m,mr; int i; @@ -260,8 +246,7 @@ DP *rp; extern int mpi_mag; extern int PCoeffs; -void dp_ptozp_d(p,rp) -DP p,*rp; +void dp_ptozp_d(DP p,DP *rp) { int i,j,k,l,n,nsep; MP m; @@ -270,7 +255,6 @@ DP p,*rp; VECT c,cs; VECT qi,ri; LIST *qr; - int s,id; Obj dmy; Q d0,d1,gcd,a,u,u1; Q *q,*r; @@ -285,6 +269,8 @@ DP p,*rp; double t_e,t_d,t_d1,t_c; extern int DP_NFStat; extern LIST Dist; + void Pox_rpc(); + void Pox_pop_local(); if ( !p ) *rp = 0; @@ -292,7 +278,7 @@ DP p,*rp; if ( PCoeffs ) { dp_ptozp(p,rp); return; } - if ( !dist || p_mag(BDY(p)->c) <= mpi_mag ) { + if ( !Dist || p_mag(BDY(p)->c) <= mpi_mag ) { dist = 0; ndist = 0; if ( DP_NFStat ) fprintf(asir_out,"L"); } else { @@ -361,9 +347,7 @@ DP p,*rp; } } -void dp_ptozp2_d(p0,p1,hp,rp) -DP p0,p1; -DP *hp,*rp; +void dp_ptozp2_d(DP p0,DP p1,DP *hp,DP *rp) { DP t,s,h,r; MP m,mr,mr0,m0; @@ -387,8 +371,7 @@ DP *hp,*rp; *hp = h; *rp = r; } -void dp_prim(p,rp) -DP p,*rp; +void dp_prim(DP p,DP *rp) { P t,g; DP p1; @@ -432,10 +415,7 @@ DP p,*rp; } } -void heu_nezgcdnpz(vl,pl,m,pr) -VL vl; -P *pl,*pr; -int m; +void heu_nezgcdnpz(VL vl,P *pl,int m,P *pr) { int i,r; P gcd,t,s1,s2,u; @@ -461,9 +441,7 @@ int m; *pr = gcd; } -void dp_prim_mod(p,mod,rp) -int mod; -DP p,*rp; +void dp_prim_mod(DP p,int mod,DP *rp) { P t,g; MP m,mr,mr0; @@ -483,18 +461,14 @@ DP p,*rp; } } -void dp_cont(p,rp) -DP p; -Q *rp; +void dp_cont(DP p,Q *rp) { VECT v; dp_dtov(p,&v); igcdv(v,rp); } -void dp_dtov(dp,rp) -DP dp; -VECT *rp; +void dp_dtov(DP dp,VECT *rp) { MP m,t; int i,n; @@ -514,9 +488,7 @@ VECT *rp; * */ -void dp_sp(p1,p2,rp) -DP p1,p2; -DP *rp; +void dp_sp(DP p1,DP p2,DP *rp) { int i,n,td; int *w; @@ -529,7 +501,7 @@ DP *rp; n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; w = (int *)ALLOCA(n*sizeof(int)); for ( i = 0, td = 0; i < n; i++ ) { - w[i] = MAX(d1->d[i],d2->d[i]); td += w[i]; + w[i] = MAX(d1->d[i],d2->d[i]); td += MUL_WEIGHT(w[i],i); } NEWDL(d,n); d->td = td - d1->td; @@ -569,28 +541,78 @@ DP *rp; } } -void dp_sp_mod(p1,p2,mod,rp) -DP p1,p2; -int mod; -DP *rp; +void _dp_sp_dup(DP p1,DP p2,DP *rp) { int i,n,td; int *w; DL d1,d2,d; MP m; + DP t,s1,s2,u; + Q c,c1,c2; + N gn,tn; + + n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; + w = (int *)ALLOCA(n*sizeof(int)); + for ( i = 0, td = 0; i < n; i++ ) { + w[i] = MAX(d1->d[i],d2->d[i]); td += MUL_WEIGHT(w[i],i); + } + + _NEWDL(d,n); d->td = td - d1->td; + for ( i = 0; i < n; i++ ) + d->d[i] = w[i] - d1->d[i]; + c1 = (Q)BDY(p1)->c; c2 = (Q)BDY(p2)->c; + if ( INT(c1) && INT(c2) ) { + gcdn(NM(c1),NM(c2),&gn); + if ( !UNIN(gn) ) { + divsn(NM(c1),gn,&tn); NTOQ(tn,SGN(c1),c); c1 = c; + divsn(NM(c2),gn,&tn); NTOQ(tn,SGN(c2),c); c2 = c; + } + } + + _NEWMP(m); m->dl = d; m->c = (P)c2; NEXT(m) = 0; + _MKDP(n,m,s1); s1->sugar = d->td; _muld_dup(CO,s1,p1,&t); _free_dp(s1); + + _NEWDL(d,n); d->td = td - d2->td; + for ( i = 0; i < n; i++ ) + d->d[i] = w[i] - d2->d[i]; + _NEWMP(m); m->dl = d; chsgnp((P)c1,&m->c); NEXT(m) = 0; + _MKDP(n,m,s2); s2->sugar = d->td; _muld_dup(CO,s2,p2,&u); _free_dp(s2); + + _addd_destructive(CO,t,u,rp); + if ( GenTrace ) { + LIST hist; + NODE node; + + node = mknode(4,ONE,0,s1,ONE); + MKLIST(hist,node); + MKNODE(TraceList,hist,0); + + node = mknode(4,ONE,0,0,ONE); + chsgnd(s2,(DP *)&ARG2(node)); + MKLIST(hist,node); + MKNODE(node,hist,TraceList); TraceList = node; + } +} + +void dp_sp_mod(DP p1,DP p2,int mod,DP *rp) +{ + int i,n,td; + int *w; + DL d1,d2,d; + MP m; DP t,s,u; n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; w = (int *)ALLOCA(n*sizeof(int)); for ( i = 0, td = 0; i < n; i++ ) { - w[i] = MAX(d1->d[i],d2->d[i]); td += w[i]; + w[i] = MAX(d1->d[i],d2->d[i]); td += MUL_WEIGHT(w[i],i); } - NEWDL(d,n); d->td = td - d1->td; + NEWDL_NOINIT(d,n); d->td = td - d1->td; for ( i = 0; i < n; i++ ) d->d[i] = w[i] - d1->d[i]; NEWMP(m); m->dl = d; m->c = (P)BDY(p2)->c; NEXT(m) = 0; MKDP(n,m,s); s->sugar = d->td; mulmd(CO,mod,p1,s,&t); - NEWDL(d,n); d->td = td - d2->td; + NEWDL_NOINIT(d,n); d->td = td - d2->td; for ( i = 0; i < n; i++ ) d->d[i] = w[i] - d2->d[i]; NEWMP(m); m->dl = d; m->c = (P)BDY(p1)->c; NEXT(m) = 0; @@ -598,10 +620,7 @@ DP *rp; submd(CO,mod,t,u,rp); } -void _dp_sp_mod_dup(p1,p2,mod,rp) -DP p1,p2; -int mod; -DP *rp; +void _dp_sp_mod_dup(DP p1,DP p2,int mod,DP *rp) { int i,n,td; int *w; @@ -612,7 +631,7 @@ DP *rp; n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; w = (int *)ALLOCA(n*sizeof(int)); for ( i = 0, td = 0; i < n; i++ ) { - w[i] = MAX(d1->d[i],d2->d[i]); td += w[i]; + w[i] = MAX(d1->d[i],d2->d[i]); td += MUL_WEIGHT(w[i],i); } _NEWDL(d,n); d->td = td - d1->td; for ( i = 0; i < n; i++ ) @@ -627,10 +646,7 @@ DP *rp; _addmd_destructive(mod,t,u,rp); } -void _dp_sp_mod(p1,p2,mod,rp) -DP p1,p2; -int mod; -DP *rp; +void _dp_sp_mod(DP p1,DP p2,int mod,DP *rp) { int i,n,td; int *w; @@ -641,7 +657,7 @@ DP *rp; n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; w = (int *)ALLOCA(n*sizeof(int)); for ( i = 0, td = 0; i < n; i++ ) { - w[i] = MAX(d1->d[i],d2->d[i]); td += w[i]; + w[i] = MAX(d1->d[i],d2->d[i]); td += MUL_WEIGHT(w[i],i); } NEWDL(d,n); d->td = td - d1->td; for ( i = 0; i < n; i++ ) @@ -658,14 +674,12 @@ DP *rp; /* * m-reduction + * do content reduction over Z or Q(x,...) + * do nothing over finite fields * */ -void dp_red(p0,p1,p2,head,rest,dnp,multp) -DP p0,p1,p2; -DP *head,*rest; -P *dnp; -DP *multp; +void dp_red(DP p0,DP p1,DP p2,DP *head,DP *rest,P *dnp,DP *multp) { int i,n; DL d1,d2,d; @@ -699,15 +713,36 @@ DP *multp; *head = h; *rest = r; *dnp = (P)c2; } -void dp_red_mod(p0,p1,p2,mod,head,rest,dnp) -DP p0,p1,p2; -int mod; -DP *head,*rest; -P *dnp; +/* m-reduction over a field */ + +void dp_red_f(DP p1,DP p2,DP *rest) { int i,n; DL d1,d2,d; MP m; + DP t,s; + Obj a,b; + + n = p1->nv; + d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; + + NEWDL(d,n); d->td = d1->td - d2->td; + for ( i = 0; i < n; i++ ) + d->d[i] = d1->d[i]-d2->d[i]; + + NEWMP(m); m->dl = d; + divr(CO,(Obj)BDY(p1)->c,(Obj)BDY(p2)->c,&a); chsgnr(a,&b); + C(m) = (P)b; + NEXT(m) = 0; MKDP(n,m,s); s->sugar = d->td; + + muld(CO,s,p2,&t); addd(CO,p1,t,rest); +} + +void dp_red_mod(DP p0,DP p1,DP p2,int mod,DP *head,DP *rest,P *dnp) +{ + int i,n; + DL d1,d2,d; + MP m; DP t,s,r,h; P c1,c2,g,u; @@ -722,7 +757,7 @@ P *dnp; divsmp(CO,mod,c1,c2,&u); c1 = u; c2 = (P)ONEM; } NEWMP(m); m->dl = d; chsgnmp(mod,(P)c1,&m->c); NEXT(m) = 0; - MKDP(n,m,s); s->sugar = d->td; mulmd(CO,mod,p2,s,&t); + MKDP(n,m,s); s->sugar = d->td; mulmd(CO,mod,s,p2,&t); if ( NUM(c2) ) { addmd(CO,mod,p1,t,&r); h = p0; } else { @@ -731,26 +766,39 @@ P *dnp; *head = h; *rest = r; *dnp = c2; } -void _dp_red_mod_destructive(p1,p2,mod,rp) -DP p1,p2; -int mod; -DP *rp; +struct oEGT eg_red_mod; + +void _dp_red_mod_destructive(DP p1,DP p2,int mod,DP *rp) { int i,n; DL d1,d2,d; MP m; DP t,s; - int c,c1; + int c,c1,c2; + extern int do_weyl; n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; _NEWDL(d,n); d->td = d1->td - d2->td; for ( i = 0; i < n; i++ ) d->d[i] = d1->d[i]-d2->d[i]; - c = invm(ITOS(BDY(p2)->c),mod); c1 = dmar(c,ITOS(BDY(p1)->c),0,mod); + c = invm(ITOS(BDY(p2)->c),mod); + c2 = ITOS(BDY(p1)->c); + DMAR(c,c2,0,mod,c1); _NEWMP(m); m->dl = d; m->c = STOI(mod-c1); NEXT(m) = 0; +#if 0 _MKDP(n,m,s); s->sugar = d->td; _mulmd_dup(mod,s,p2,&t); _free_dp(s); +#else + if ( do_weyl ) { + _MKDP(n,m,s); s->sugar = d->td; + _mulmd_dup(mod,s,p2,&t); _free_dp(s); + } else { + _mulmdm_dup(mod,p2,m,&t); _FREEMP(m); + } +#endif +/* get_eg(&t0); */ _addmd_destructive(mod,p1,t,rp); +/* get_eg(&t1); add_eg(&eg_red_mod,&t0,&t1); */ } /* @@ -758,13 +806,7 @@ DP *rp; * */ -void dp_true_nf(b,g,ps,full,rp,dnp) -NODE b; -DP g; -DP *ps; -int full; -DP *rp; -P *dnp; +void dp_true_nf(NODE b,DP g,DP *ps,int full,DP *rp,P *dnp) { DP u,p,d,s,t,dmy; NODE l; @@ -819,12 +861,9 @@ P *dnp; *rp = d; *dnp = dn; } -void dp_nf_ptozp(b,g,ps,full,multiple,rp) -NODE b; -DP g; -DP *ps; -int full,multiple; -DP *rp; +/* nf computation over Z */ + +void dp_nf_z(NODE b,DP g,DP *ps,int full,int multiple,DP *rp) { DP u,p,d,s,t,dmy1; P dmy; @@ -842,8 +881,10 @@ DP *rp; wb = (int *)ALLOCA(n*sizeof(int)); for ( i = 0, l = b; i < n; l = NEXT(l), i++ ) wb[i] = QTOS((Q)BDY(l)); + hmag = multiple*HMAG(g); sugar = g->sugar; + for ( d = 0; g; ) { for ( u = 0, i = 0; i < n; i++ ) { if ( dp_redble(g,p = ps[wb[i]]) ) { @@ -891,14 +932,64 @@ DP *rp; *rp = d; } -void dp_nf_mod(b,g,ps,mod,full,rp) -NODE b; -DP g; -DP *ps; -int mod,full; -DP *rp; +/* nf computation over a field */ + +void dp_nf_f(NODE b,DP g,DP *ps,int full,DP *rp) { DP u,p,d,s,t; + NODE l; + MP m,mr; + int i,n; + int *wb; + int sugar,psugar; + + if ( !g ) { + *rp = 0; return; + } + for ( n = 0, l = b; l; l = NEXT(l), n++ ); + wb = (int *)ALLOCA(n*sizeof(int)); + for ( i = 0, l = b; i < n; l = NEXT(l), i++ ) + wb[i] = QTOS((Q)BDY(l)); + + sugar = g->sugar; + for ( d = 0; g; ) { + for ( u = 0, i = 0; i < n; i++ ) { + if ( dp_redble(g,p = ps[wb[i]]) ) { + dp_red_f(g,p,&u); + psugar = (BDY(g)->dl->td - BDY(p)->dl->td) + p->sugar; + sugar = MAX(sugar,psugar); + if ( !u ) { + if ( d ) + d->sugar = sugar; + *rp = d; return; + } + break; + } + } + if ( u ) + g = u; + else if ( !full ) { + if ( g ) { + MKDP(g->nv,BDY(g),t); t->sugar = sugar; g = t; + } + *rp = g; return; + } else { + m = BDY(g); NEWMP(mr); mr->dl = m->dl; mr->c = m->c; + NEXT(mr) = 0; MKDP(g->nv,mr,t); t->sugar = mr->dl->td; + addd(CO,d,t,&s); d = s; + dp_rest(g,&t); g = t; + } + } + if ( d ) + d->sugar = sugar; + *rp = d; +} + +/* nf computation over GF(mod) (only for internal use) */ + +void dp_nf_mod(NODE b,DP g,DP *ps,int mod,int full,DP *rp) +{ + DP u,p,d,s,t; P dmy; NODE l; MP m,mr; @@ -942,13 +1033,7 @@ DP *rp; *rp = d; } -void dp_true_nf_mod(b,g,ps,mod,full,rp,dnp) -NODE b; -DP g; -DP *ps; -int mod,full; -DP *rp; -P *dnp; +void dp_true_nf_mod(NODE b,DP g,DP *ps,int mod,int full,DP *rp,P *dnp) { DP u,p,d,s,t; NODE l; @@ -1003,17 +1088,12 @@ P *dnp; *rp = d; *dnp = dn; } -void _dp_nf_mod_destructive(b,g,ps,mod,full,rp) -NODE b; -DP g; -DP *ps; -int mod,full; -DP *rp; +void _dp_nf_mod_destructive(NODE b,DP g,DP *ps,int mod,int full,DP *rp) { - DP u,p,d,s,t; + DP u,p,d; NODE l; - MP m,mr,mrd; - int sugar,psugar,n,h_reducible,i; + MP m,mrd; + int sugar,psugar,n,h_reducible; if ( !g ) { *rp = 0; return; @@ -1062,13 +1142,40 @@ DP *rp; _dptodp(d,rp); _free_dp(d); } -void dp_lnf_mod(p1,p2,g,mod,r1p,r2p) -DP p1,p2; -NODE g; -int mod; -DP *r1p,*r2p; +/* reduction by linear base over a field */ + +void dp_lnf_f(DP p1,DP p2,NODE g,DP *r1p,DP *r2p) { DP r1,r2,b1,b2,t,s; + Obj c,c1,c2; + NODE l,b; + int n; + + if ( !p1 ) { + *r1p = p1; *r2p = p2; return; + } + n = p1->nv; + for ( l = g, r1 = p1, r2 = p2; l; l = NEXT(l) ) { + if ( !r1 ) { + *r1p = r1; *r2p = r2; return; + } + b = BDY((LIST)BDY(l)); b1 = (DP)BDY(b); + if ( dl_equal(n,BDY(r1)->dl,BDY(b1)->dl) ) { + b2 = (DP)BDY(NEXT(b)); + divr(CO,(Obj)ONE,(Obj)BDY(b1)->c,&c1); + mulr(CO,c1,(Obj)BDY(r1)->c,&c2); chsgnr(c2,&c); + muldc(CO,b1,(P)c,&t); addd(CO,r1,t,&s); r1 = s; + muldc(CO,b2,(P)c,&t); addd(CO,r2,t,&s); r2 = s; + } + } + *r1p = r1; *r2p = r2; +} + +/* reduction by linear base over GF(mod) */ + +void dp_lnf_mod(DP p1,DP p2,NODE g,int mod,DP *r1p,DP *r2p) +{ + DP r1,r2,b1,b2,t,s; P c; MQ c1,c2; NODE l,b; @@ -1094,11 +1201,7 @@ DP *r1p,*r2p; *r1p = r1; *r2p = r2; } -void dp_nf_tab_mod(p,tab,mod,rp) -DP p; -LIST *tab; -int mod; -DP *rp; +void dp_nf_tab_mod(DP p,LIST *tab,int mod,DP *rp) { DP s,t,u; MP m; @@ -1124,9 +1227,7 @@ DP *rp; * */ -int create_order_spec(obj,spec) -Obj obj; -struct order_spec *spec; +int create_order_spec(Obj obj,struct order_spec *spec) { int i,j,n,s,row,col; struct order_pair *l; @@ -1171,9 +1272,7 @@ struct order_spec *spec; * */ -void dp_homo(p,rp) -DP p; -DP *rp; +void dp_homo(DP p,DP *rp) { MP m,mr,mr0; int i,n,nv,td; @@ -1197,9 +1296,7 @@ DP *rp; } } -void dp_dehomo(p,rp) -DP p; -DP *rp; +void dp_dehomo(DP p,DP *rp) { MP m,mr,mr0; int i,n,nv; @@ -1222,11 +1319,7 @@ DP *rp; } } -void dp_mod(p,mod,subst,rp) -DP p; -int mod; -NODE subst; -DP *rp; +void dp_mod(DP p,int mod,NODE subst,DP *rp) { MP m,mr,mr0; P t,s,s1; @@ -1253,9 +1346,7 @@ DP *rp; } } -void dp_rat(p,rp) -DP p; -DP *rp; +void dp_rat(DP p,DP *rp) { MP m,mr,mr0; @@ -1273,9 +1364,7 @@ DP *rp; } -void homogenize_order(old,n,new) -struct order_spec *old,*new; -int n; +void homogenize_order(struct order_spec *old,int n,struct order_spec *new) { struct order_pair *l; int length,nv,row,i,j; @@ -1334,9 +1423,7 @@ int n; } } -void qltozl(w,n,dvr) -Q *w,*dvr; -int n; +void qltozl(Q *w,int n,Q *dvr) { N nm,dn; N g,l1,l2,l3; @@ -1364,15 +1451,12 @@ int n; *dvr = d; } -int comp_nm(a,b) -Q *a,*b; +int comp_nm(Q *a,Q *b) { return cmpn((*a)?NM(*a):0,(*b)?NM(*b):0); } -void sortbynm(w,n) -Q *w; -int n; +void sortbynm(Q *w,int n) { qsort(w,n,sizeof(Q),(int (*)(const void *,const void *))comp_nm); } @@ -1383,8 +1467,7 @@ int n; * */ -int dp_redble(p1,p2) -DP p1,p2; +int dp_redble(DP p1,DP p2) { int i,n; DL d1,d2; @@ -1400,9 +1483,7 @@ DP p1,p2; } } -void dp_subd(p1,p2,rp) -DP p1,p2; -DP *rp; +void dp_subd(DP p1,DP p2,DP *rp) { int i,n; DL d1,d2,d; @@ -1418,10 +1499,7 @@ DP *rp; *rp = s; } -void dltod(d,n,rp) -DL d; -int n; -DP *rp; +void dltod(DL d,int n,DP *rp) { MP m; DP s; @@ -1431,9 +1509,7 @@ DP *rp; *rp = s; } -void dp_hm(p,rp) -DP p; -DP *rp; +void dp_hm(DP p,DP *rp) { MP m,mr; @@ -1446,8 +1522,7 @@ DP *rp; } } -void dp_rest(p,rp) -DP p,*rp; +void dp_rest(DP p,DP *rp) { MP m; @@ -1461,24 +1536,21 @@ DP p,*rp; } } -DL lcm_of_DL(nv,dl1,dl2,dl) -int nv; -DL dl1,dl2; -register DL dl; +DL lcm_of_DL(int nv,DL dl1,DL dl2,DL dl) { - register int n, *d1, *d2, *d, td; + register int i, *d1, *d2, *d, td; if ( !dl ) NEWDL(dl,nv); d = dl->d, d1 = dl1->d, d2 = dl2->d; - for ( td = 0, n = nv; --n >= 0; d1++, d2++, d++ ) - td += (*d = *d1 > *d2 ? *d1 : *d2 ); + for ( td = 0, i = 0; i < nv; d1++, d2++, d++, i++ ) { + *d = *d1 > *d2 ? *d1 : *d2; + td += MUL_WEIGHT(*d,i); + } dl->td = td; return dl; } -int dl_equal(nv,dl1,dl2) -int nv; -DL dl1, dl2; +int dl_equal(int nv,DL dl1,DL dl2) { register int *d1, *d2, n; @@ -1488,8 +1560,7 @@ DL dl1, dl2; return 1; } -int dp_nt(p) -DP p; +int dp_nt(DP p) { int i; MP m; @@ -1502,3 +1573,39 @@ DP p; } } +int dp_homogeneous(DP p) +{ + MP m; + int d; + + if ( !p ) + return 1; + else { + m = BDY(p); + d = m->dl->td; + m = NEXT(m); + for ( ; m; m = NEXT(m) ) { + if ( m->dl->td != d ) + return 0; + } + return 1; + } +} + +void _print_mp(int nv,MP m) +{ + int i; + + if ( !m ) + return; + for ( ; m; m = NEXT(m) ) { + fprintf(stderr,"%d<",ITOS(C(m))); + for ( i = 0; i < nv; i++ ) { + fprintf(stderr,"%d",m->dl->d[i]); + if ( i != nv-1 ) + fprintf(stderr," "); + } + fprintf(stderr,">",C(m)); + } + fprintf(stderr,"\n"); +}