| version 1.44, 2007/09/15 10:17:08 | version 1.49, 2009/01/04 05:44:51 | 
|  |  | 
| * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, | * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, | 
| * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. | * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. | 
| * | * | 
| * $OpenXM: OpenXM_contrib2/asir2000/builtin/dp-supp.c,v 1.43 2007/09/07 00:45:50 noro Exp $ | * $OpenXM: OpenXM_contrib2/asir2000/builtin/dp-supp.c,v 1.48 2007/10/21 07:47:59 noro Exp $ | 
| */ | */ | 
| #include "ca.h" | #include "ca.h" | 
| #include "base.h" | #include "base.h" | 
| 
| Line 71  void print_composite_order_spec(struct order_spec *spe |  | 
| Line 71  void print_composite_order_spec(struct order_spec *spe |  | 
| * | * | 
| */ | */ | 
|  |  | 
|  | static NODE RatDenomList; | 
|  |  | 
|  | void init_denomlist() | 
|  | { | 
|  | RatDenomList = 0; | 
|  | } | 
|  |  | 
|  | void add_denomlist(P f) | 
|  | { | 
|  | NODE n; | 
|  |  | 
|  | if ( OID(f)==O_P ) { | 
|  | MKNODE(n,f,RatDenomList); RatDenomList = n; | 
|  | } | 
|  | } | 
|  |  | 
|  | LIST get_denomlist() | 
|  | { | 
|  | LIST l; | 
|  |  | 
|  | MKLIST(l,RatDenomList); RatDenomList = 0; | 
|  | return l; | 
|  | } | 
|  |  | 
| void dp_ptozp(DP p,DP *rp) | void dp_ptozp(DP p,DP *rp) | 
| { | { | 
| MP m,mr,mr0; | MP m,mr,mr0; | 
| 
| Line 448  void dp_prim(DP p,DP *rp) |  | 
| Line 472  void dp_prim(DP p,DP *rp) |  | 
| P *w; | P *w; | 
| Q *c; | Q *c; | 
| Q dvr; | Q dvr; | 
|  | NODE tn; | 
|  |  | 
| if ( !p ) | if ( !p ) | 
| *rp = 0; | *rp = 0; | 
| 
| Line 502  void dp_prim(DP p,DP *rp) |  | 
| Line 527  void dp_prim(DP p,DP *rp) |  | 
| NEXTMP(mr0,mr); divsp(CO,m->c,g,&mr->c); mr->dl = m->dl; | NEXTMP(mr0,mr); divsp(CO,m->c,g,&mr->c); mr->dl = m->dl; | 
| } | } | 
| NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; | NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; | 
|  | add_denomlist(g); | 
| } | } | 
| } | } | 
| } | } | 
| 
| Line 805  void dp_red(DP p0,DP p1,DP p2,DP *head,DP *rest,P *dnp |  | 
| Line 831  void dp_red(DP p0,DP p1,DP p2,DP *head,DP *rest,P *dnp |  | 
| } else { | } else { | 
| ezgcdpz(CO,(P)c1,(P)c2,&g); | ezgcdpz(CO,(P)c1,(P)c2,&g); | 
| divsp(CO,(P)c1,g,&a); c1 = (Q)a; divsp(CO,(P)c2,g,&a); c2 = (Q)a; | divsp(CO,(P)c1,g,&a); c1 = (Q)a; divsp(CO,(P)c2,g,&a); c2 = (Q)a; | 
|  | add_denomlist(g); | 
| } | } | 
| NEWMP(m); m->dl = d; chsgnp((P)c1,&m->c); NEXT(m) = 0; MKDP(n,m,s); s->sugar = d->td; | NEWMP(m); m->dl = d; chsgnp((P)c1,&m->c); NEXT(m) = 0; MKDP(n,m,s); s->sugar = d->td; | 
| *multp = s; | *multp = s; | 
| 
| Line 853  void dp_red_marked(DP p0,DP p1,DP p2,DP hp2,DP *head,D |  | 
| Line 880  void dp_red_marked(DP p0,DP p1,DP p2,DP hp2,DP *head,D |  | 
| ezgcdpz(CO,(P)c1,(P)c2,&g); | ezgcdpz(CO,(P)c1,(P)c2,&g); | 
| divsp(CO,(P)c1,g,&a); c1 = (Q)a; divsp(CO,(P)c2,g,&a); c2 = (Q)a; | divsp(CO,(P)c1,g,&a); c1 = (Q)a; divsp(CO,(P)c2,g,&a); c2 = (Q)a; | 
| } | } | 
| NEWMP(m); m->dl = d; chsgnp((P)c1,&m->c); NEXT(m) = 0; MKDP(n,m,s); s->sugar = d->td; | NEWMP(m); m->dl = d; m->c = (P)c1; NEXT(m) = 0; MKDP(n,m,s); s->sugar = d->td; | 
| *multp = s; | *multp = s; | 
| muld(CO,s,p2,&t); muldc(CO,p1,(P)c2,&s); addd(CO,s,t,&r); | muld(CO,s,p2,&t); muldc(CO,p1,(P)c2,&s); subd(CO,s,t,&r); | 
| muldc(CO,p0,(P)c2,&h); | muldc(CO,p0,(P)c2,&h); | 
| *head = h; *rest = r; *dnp = (P)c2; | *head = h; *rest = r; *dnp = (P)c2; | 
| } | } | 
| 
| Line 1204  void dp_true_nf_marked_mod(NODE b,DP g,DP *ps,DP *hps, |  | 
| Line 1231  void dp_true_nf_marked_mod(NODE b,DP g,DP *ps,DP *hps, |  | 
| *rp = d; *dnp = dn; | *rp = d; *dnp = dn; | 
| } | } | 
|  |  | 
|  | /* true nf by a marked GB and collect quotients */ | 
|  |  | 
|  | DP *dp_true_nf_and_quotient_marked (NODE b,DP g,DP *ps,DP *hps,DP *rp,P *dnp) | 
|  | { | 
|  | DP u,p,d,s,t,dmy,hp,mult; | 
|  | DP *q; | 
|  | NODE l; | 
|  | MP m,mr; | 
|  | int i,n,j; | 
|  | int *wb; | 
|  | int sugar,psugar,multiple; | 
|  | P nm,tnm1,dn,tdn,tdn1; | 
|  | Q cont; | 
|  |  | 
|  | dn = (P)ONE; | 
|  | if ( !g ) { | 
|  | *rp = 0; *dnp = dn; 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)); | 
|  | q = (DP *)MALLOC(n*sizeof(DP)); | 
|  | for ( i = 0; i < n; i++ ) q[i] = 0; | 
|  | sugar = g->sugar; | 
|  | for ( d = 0; g; ) { | 
|  | for ( u = 0, i = 0; i < n; i++ ) { | 
|  | if ( dp_redble(g,hp = hps[wb[i]]) ) { | 
|  | p = ps[wb[i]]; | 
|  | dp_red_marked(d,g,p,hp,&t,&u,&tdn,&mult); | 
|  | psugar = (BDY(g)->dl->td - BDY(p)->dl->td) + p->sugar; | 
|  | sugar = MAX(sugar,psugar); | 
|  | for ( j = 0; j < n; j++ ) { | 
|  | muldc(CO,q[j],(P)tdn,&dmy); q[j] = dmy; | 
|  | } | 
|  | addd(CO,q[wb[i]],mult,&dmy); q[wb[i]] = dmy; | 
|  | mulp(CO,dn,tdn,&tdn1); dn = tdn1; | 
|  | d = t; | 
|  | if ( !u ) goto last; | 
|  | break; | 
|  | } | 
|  | } | 
|  | if ( u ) { | 
|  | g = u; | 
|  | } 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; | 
|  | } | 
|  | } | 
|  | last: | 
|  | if ( d ) d->sugar = sugar; | 
|  | *rp = d; *dnp = dn; | 
|  | return q; | 
|  | } | 
|  |  | 
| /* nf computation over Z */ | /* nf computation over Z */ | 
|  |  | 
| void dp_nf_z(NODE b,DP g,DP *ps,int full,int multiple,DP *rp) | void dp_nf_z(NODE b,DP g,DP *ps,int full,int multiple,DP *rp) | 
| 
| Line 1599  int create_order_spec(VL vl,Obj obj,struct order_spec |  | 
| Line 1683  int create_order_spec(VL vl,Obj obj,struct order_spec |  | 
| struct order_pair *l; | struct order_pair *l; | 
| NODE node,t,tn; | NODE node,t,tn; | 
| MAT m; | MAT m; | 
| pointer **b; | VECT v; | 
|  | pointer **b,*bv; | 
| int **w; | int **w; | 
|  |  | 
| if ( vl && obj && OID(obj) == O_LIST ) { | if ( vl && obj && OID(obj) == O_LIST ) { | 
| 
| Line 1637  int create_order_spec(VL vl,Obj obj,struct order_spec |  | 
| Line 1722  int create_order_spec(VL vl,Obj obj,struct order_spec |  | 
| spec->nv = col; spec->ord.matrix.row = row; | spec->nv = col; spec->ord.matrix.row = row; | 
| spec->ord.matrix.matrix = w; | spec->ord.matrix.matrix = w; | 
| return 1; | return 1; | 
|  | } else if ( OID(obj) == O_VECT ) { | 
|  | v = (VECT)obj; bv = BDY(v); | 
|  | if ( v->len < 2 ) error("create_order_spec : invalid argument"); | 
|  | create_order_spec(0,(Obj)bv[1],&spec); | 
|  | spec->id += 256; spec->obj = obj; | 
|  | spec->istop = bv[0]==0; | 
|  | *specp = spec; | 
|  | return 1; | 
| } else | } else | 
| return 0; | return 0; | 
| } | } | 
| 
| Line 2644  int compare_facet_preorder(int n,int *u,int *v, |  | 
| Line 2737  int compare_facet_preorder(int n,int *u,int *v, |  | 
| return 1; | return 1; | 
| } | } | 
|  |  | 
|  | Q inner_product_with_small_vector(VECT w,int *v) | 
|  | { | 
|  | int n,i; | 
|  | Q q,s,t,u; | 
|  |  | 
|  | n = w->len; | 
|  | s = 0; | 
|  | for ( i = 0; i < n; i++ ) { | 
|  | STOQ(v[i],q); mulq((Q)w->body[i],q,&t); addq(t,s,&u); s = u; | 
|  | } | 
|  | return s; | 
|  | } | 
|  |  | 
|  | Q compute_last_t(NODE g,NODE gh,Q t,VECT w1,VECT w2,NODE *homo,VECT *wp) | 
|  | { | 
|  | int n,i; | 
|  | int *wt; | 
|  | Q last,d1,d2,dn,nm,s,t1; | 
|  | VECT wd,wt1,wt2,w; | 
|  | NODE tg,tgh; | 
|  | MP f; | 
|  | int *h; | 
|  | NODE r0,r; | 
|  | MP m0,m; | 
|  | DP d; | 
|  |  | 
|  | n = w1->len; | 
|  | wt = W_ALLOC(n); | 
|  | last = ONE; | 
|  | /* t1 = 1-t */ | 
|  | for ( tg = g, tgh = gh; tg; tg = NEXT(tg), tgh = NEXT(tgh ) ) { | 
|  | f = BDY((DP)BDY(tg)); | 
|  | h = BDY((DP)BDY(tgh))->dl->d; | 
|  | for ( ; f; f = NEXT(f) ) { | 
|  | for ( i = 0; i < n; i++ ) wt[i] = h[i]-f->dl->d[i]; | 
|  | for ( i = 0; i < n && !wt[i]; i++ ); | 
|  | if ( i == n ) continue; | 
|  | d1 = inner_product_with_small_vector(w1,wt); | 
|  | d2 = inner_product_with_small_vector(w2,wt); | 
|  | nm = d1; subq(d1,d2,&dn); | 
|  | /* if d1=d2 then nothing happens */ | 
|  | if ( !dn ) continue; | 
|  | /* s satisfies ds = 0*/ | 
|  | divq(nm,dn,&s); | 
|  |  | 
|  | if ( cmpq(s,t) > 0 && cmpq(s,last) < 0 ) | 
|  | last = s; | 
|  | else if ( !cmpq(s,t) ) { | 
|  | if ( cmpq(d2,0) < 0 ) { | 
|  | last = t; | 
|  | break; | 
|  | } | 
|  | } | 
|  | } | 
|  | } | 
|  | if ( !last ) { | 
|  | dn = ONE; nm = 0; | 
|  | } else { | 
|  | NTOQ(NM(last),1,nm); | 
|  | if ( INT(last) ) dn = ONE; | 
|  | else { | 
|  | NTOQ(DN(last),1,dn); | 
|  | } | 
|  | } | 
|  | /* (1-n/d)*w1+n/d*w2 -> w=(d-n)*w1+n*w2 */ | 
|  | subq(dn,nm,&t1); mulvect(CO,(Obj)w1,(Obj)t1,(Obj *)&wt1); | 
|  | mulvect(CO,(Obj)w2,(Obj)nm,(Obj *)&wt2); addvect(CO,wt1,wt2,&w); | 
|  |  | 
|  | r0 = 0; | 
|  | for ( tg = g, tgh = gh; tg; tg = NEXT(tg), tgh = NEXT(tgh ) ) { | 
|  | f = BDY((DP)BDY(tg)); | 
|  | h = BDY((DP)BDY(tgh))->dl->d; | 
|  | for ( m0 = 0; f; f = NEXT(f) ) { | 
|  | for ( i = 0; i < n; i++ ) wt[i] = h[i]-f->dl->d[i]; | 
|  | for ( i = 0; i < n && !wt[i]; i++ ); | 
|  | if ( !inner_product_with_small_vector(w,wt) ) { | 
|  | NEXTMP(m0,m); m->c = f->c; m->dl = f->dl; | 
|  | } | 
|  | } | 
|  | NEXT(m) = 0; | 
|  | MKDP(((DP)BDY(tg))->nv,m0,d);  d->sugar = ((DP)BDY(tg))->sugar; | 
|  | NEXTNODE(r0,r); BDY(r) = (pointer)d; | 
|  | } | 
|  | NEXT(r) = 0; | 
|  | *homo = r0; | 
|  | *wp = w; | 
|  | return last; | 
|  | } | 
|  |  | 
| /* return 0 if last_w = infty */ | /* return 0 if last_w = infty */ | 
|  |  | 
| NODE compute_last_w(NODE g,NODE gh,int n,int **w, | NODE compute_last_w(NODE g,NODE gh,int n,int **w, | 
| 
| Line 2708  NODE compute_last_w(NODE g,NODE gh,int n,int **w, |  | 
| Line 2890  NODE compute_last_w(NODE g,NODE gh,int n,int **w, |  | 
| } | } | 
|  |  | 
| /* compute a sufficient set of d(f)=u-v */ | /* compute a sufficient set of d(f)=u-v */ | 
| static int comp_vector_lex_nv; |  | 
|  |  | 
| int comp_vector_lex(int **a,int **b) |  | 
| { |  | 
| int i; |  | 
| int *pa,*pb; |  | 
|  |  | 
| pa = *a; pb = *b; |  | 
| for ( i = 0; i < comp_vector_lex_nv; i++ ) |  | 
| if ( pa[i] < pb[i] ) return -1; |  | 
| else if ( pa[i] > pb[i] ) return 1; |  | 
| return 0; |  | 
| } |  | 
|  |  | 
| NODE compute_essential_df(DP *g,DP *gh,int ng) | NODE compute_essential_df(DP *g,DP *gh,int ng) | 
| { | { | 
| VECT v; | int nv,i,j,k,t,lj; | 
| Q q; | NODE r,r1,ri,rt,r0; | 
| MP m; | MP m; | 
| NODE r,r1; | MP *mj; | 
| int nv,len,i,j,k; | DL di,hj,dl,dlt; | 
| int *p,*dm,*mi,*mj,*h; | int *d,*dt; | 
| int **mat; | LIST l; | 
|  | Q q; | 
|  |  | 
| nv = comp_vector_lex_nv = g[0]->nv; | nv = g[0]->nv; | 
| for ( len = 0, j = 0; j < ng; j++ ) { | r = 0; | 
| for ( m = BDY(g[j]); m; m = NEXT(m), len++ ); | for ( j = 0; j < ng; j++ ) { | 
| } | for ( m = BDY(g[j]), lj = 0; m; m = NEXT(m), lj++ ); | 
| mat = almat(len,nv); | mj = (MP *)ALLOCA(lj*sizeof(MP)); | 
| for ( i = 0, j = 0; j < ng; j++ ) { | for ( m = BDY(g[j]), k = 0; m; m = NEXT(m), k++ ) | 
| h = BDY(gh[j])->dl->d; | mj[k] = m; | 
| for ( m = BDY(g[j]); m; m = NEXT(m) ) { | for ( i = 0; i < lj; i++ ) { | 
| dm = m->dl->d; | for ( di = mj[i]->dl, k = i+1; k < lj; k++ ) | 
| for ( k = 0; k < nv; k++ ) | if ( _dl_redble(di,mj[k]->dl,nv) ) break; | 
| if ( dm[k] ) break; | if ( k < lj ) mj[i] = 0; | 
| if ( k == nv ) continue; | } | 
| else { | hj = BDY(gh[j])->dl; | 
| p = mat[i]; | _NEWDL(dl,nv); d = dl->d; | 
| for ( k = 0; k < nv; k++ ) | r0 = r; | 
| p[k] = h[k]-dm[k]; | for ( i = 0; i < lj; i++ ) { | 
| i++; | if ( mj[i] && !dl_equal(nv,di=mj[i]->dl,hj) ) { | 
|  | for ( k = 0, t = 0; k < nv; k++ ) { | 
|  | d[k] = hj->d[k]-di->d[k]; | 
|  | t += d[k]; | 
|  | } | 
|  | dl->td = t; | 
|  | #if 1 | 
|  | for ( rt = r0; rt; rt = NEXT(rt) ) { | 
|  | dlt = (DL)BDY(rt); | 
|  | if ( dlt->td != dl->td ) continue; | 
|  | for ( dt = dlt->d, k = 0; k < nv; k++ ) | 
|  | if ( d[k] != dt[k] ) break; | 
|  | if ( k == nv ) break; | 
|  | } | 
|  | #else | 
|  | rt = 0; | 
|  | #endif | 
|  | if ( !rt ) { | 
|  | MKNODE(r1,dl,r); r = r1; | 
|  | _NEWDL(dl,nv); d = dl->d; | 
|  | } | 
| } | } | 
| } | } | 
| } | } | 
| len = i; | for ( rt = r; rt; rt = NEXT(rt) ) { | 
| qsort(mat,len,sizeof(int *), | dl = (DL)BDY(rt); d = dl->d; | 
| (int (*)(const void *,const void *))comp_vector_lex); | ri = 0; | 
| for ( i = 0; i < len; i++ ) { | for ( k = nv-1; k >= 0; k-- ) { | 
| for ( j = 0; j < nv; j++ ) | STOQ(d[k],q); | 
| printf("%d ",mat[i][j]); | MKNODE(r1,q,ri); ri = r1; | 
| printf("\n"); |  | 
| } |  | 
| for ( i = 0; i < len; i++ ) { |  | 
| mi = mat[i]; |  | 
| if ( !mi ) continue; |  | 
| for ( j = i+1; j < len; j++ ) { |  | 
| mj = mat[j]; |  | 
| if ( !mj ) continue; |  | 
| for ( k = 0; k < nv; k++ ) |  | 
| if ( mi[k] > mj[k] )  break; |  | 
| if ( k == nv ) mat[j] = 0; |  | 
| } | } | 
| } | MKNODE(r1,0,ri); MKLIST(l,r1); | 
| for ( i = 0; i < len; i++ ) { | BDY(rt) = (pointer)l; | 
| if ( mat[i] ) { |  | 
| for ( j = 0; j < nv; j++ ) |  | 
| printf("%d ",mat[i][j]); |  | 
| printf("\n"); |  | 
| } |  | 
| } |  | 
| r = 0; |  | 
| for ( i = 0; i < len; i++ ) { |  | 
| if ( mi = mat[i] ) { |  | 
| MKVECT(v,nv); |  | 
| for ( k = 0; k < nv; k++ ) { |  | 
| STOQ(mi[k],q); |  | 
| v->body[k] = (pointer)q; |  | 
| } |  | 
| MKNODE(r1,v,r); r = r1; |  | 
| } |  | 
| } | } | 
| return r; | return r; | 
| } | } |