version 1.44, 2007/09/15 10:17:08 |
version 1.49, 2009/01/04 05:44:51 |
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* 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 |
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Line 71 void print_composite_order_spec(struct order_spec *spe |
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* |
* |
*/ |
*/ |
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static NODE RatDenomList; |
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void init_denomlist() |
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{ |
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RatDenomList = 0; |
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} |
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void add_denomlist(P f) |
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{ |
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NODE n; |
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if ( OID(f)==O_P ) { |
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MKNODE(n,f,RatDenomList); RatDenomList = n; |
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} |
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} |
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LIST get_denomlist() |
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{ |
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LIST l; |
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MKLIST(l,RatDenomList); RatDenomList = 0; |
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return l; |
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} |
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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) |
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Line 472 void dp_prim(DP p,DP *rp) |
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P *w; |
P *w; |
Q *c; |
Q *c; |
Q dvr; |
Q dvr; |
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NODE tn; |
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if ( !p ) |
if ( !p ) |
*rp = 0; |
*rp = 0; |
Line 502 void dp_prim(DP p,DP *rp) |
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Line 527 void dp_prim(DP p,DP *rp) |
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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; |
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add_denomlist(g); |
} |
} |
} |
} |
} |
} |
Line 805 void dp_red(DP p0,DP p1,DP p2,DP *head,DP *rest,P *dnp |
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Line 831 void dp_red(DP p0,DP p1,DP p2,DP *head,DP *rest,P *dnp |
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} 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; |
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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 |
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Line 880 void dp_red_marked(DP p0,DP p1,DP p2,DP hp2,DP *head,D |
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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, |
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Line 1231 void dp_true_nf_marked_mod(NODE b,DP g,DP *ps,DP *hps, |
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*rp = d; *dnp = dn; |
*rp = d; *dnp = dn; |
} |
} |
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/* true nf by a marked GB and collect quotients */ |
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DP *dp_true_nf_and_quotient_marked (NODE b,DP g,DP *ps,DP *hps,DP *rp,P *dnp) |
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{ |
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DP u,p,d,s,t,dmy,hp,mult; |
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DP *q; |
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NODE l; |
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MP m,mr; |
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int i,n,j; |
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int *wb; |
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int sugar,psugar,multiple; |
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P nm,tnm1,dn,tdn,tdn1; |
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Q cont; |
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dn = (P)ONE; |
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if ( !g ) { |
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*rp = 0; *dnp = dn; return; |
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} |
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for ( n = 0, l = b; l; l = NEXT(l), n++ ); |
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wb = (int *)ALLOCA(n*sizeof(int)); |
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for ( i = 0, l = b; i < n; l = NEXT(l), i++ ) |
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wb[i] = QTOS((Q)BDY(l)); |
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q = (DP *)MALLOC(n*sizeof(DP)); |
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for ( i = 0; i < n; i++ ) q[i] = 0; |
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sugar = g->sugar; |
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for ( d = 0; g; ) { |
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for ( u = 0, i = 0; i < n; i++ ) { |
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if ( dp_redble(g,hp = hps[wb[i]]) ) { |
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p = ps[wb[i]]; |
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dp_red_marked(d,g,p,hp,&t,&u,&tdn,&mult); |
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psugar = (BDY(g)->dl->td - BDY(p)->dl->td) + p->sugar; |
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sugar = MAX(sugar,psugar); |
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for ( j = 0; j < n; j++ ) { |
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muldc(CO,q[j],(P)tdn,&dmy); q[j] = dmy; |
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} |
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addd(CO,q[wb[i]],mult,&dmy); q[wb[i]] = dmy; |
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mulp(CO,dn,tdn,&tdn1); dn = tdn1; |
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d = t; |
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if ( !u ) goto last; |
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break; |
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} |
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} |
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if ( u ) { |
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g = u; |
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} else { |
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m = BDY(g); NEWMP(mr); mr->dl = m->dl; mr->c = m->c; |
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NEXT(mr) = 0; MKDP(g->nv,mr,t); t->sugar = mr->dl->td; |
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addd(CO,d,t,&s); d = s; |
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dp_rest(g,&t); g = t; |
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} |
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} |
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last: |
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if ( d ) d->sugar = sugar; |
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*rp = d; *dnp = dn; |
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return q; |
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} |
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/* nf computation over Z */ |
/* nf computation over Z */ |
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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 |
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Line 1683 int create_order_spec(VL vl,Obj obj,struct order_spec |
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struct order_pair *l; |
struct order_pair *l; |
NODE node,t,tn; |
NODE node,t,tn; |
MAT m; |
MAT m; |
pointer **b; |
VECT v; |
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pointer **b,*bv; |
int **w; |
int **w; |
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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 |
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Line 1722 int create_order_spec(VL vl,Obj obj,struct order_spec |
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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; |
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} else if ( OID(obj) == O_VECT ) { |
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v = (VECT)obj; bv = BDY(v); |
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if ( v->len < 2 ) error("create_order_spec : invalid argument"); |
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create_order_spec(0,(Obj)bv[1],&spec); |
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spec->id += 256; spec->obj = obj; |
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spec->istop = bv[0]==0; |
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*specp = spec; |
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return 1; |
} else |
} else |
return 0; |
return 0; |
} |
} |
Line 2644 int compare_facet_preorder(int n,int *u,int *v, |
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Line 2737 int compare_facet_preorder(int n,int *u,int *v, |
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return 1; |
return 1; |
} |
} |
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Q inner_product_with_small_vector(VECT w,int *v) |
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{ |
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int n,i; |
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Q q,s,t,u; |
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n = w->len; |
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s = 0; |
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for ( i = 0; i < n; i++ ) { |
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STOQ(v[i],q); mulq((Q)w->body[i],q,&t); addq(t,s,&u); s = u; |
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} |
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return s; |
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} |
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Q compute_last_t(NODE g,NODE gh,Q t,VECT w1,VECT w2,NODE *homo,VECT *wp) |
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{ |
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int n,i; |
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int *wt; |
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Q last,d1,d2,dn,nm,s,t1; |
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VECT wd,wt1,wt2,w; |
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NODE tg,tgh; |
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MP f; |
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int *h; |
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NODE r0,r; |
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MP m0,m; |
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DP d; |
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n = w1->len; |
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wt = W_ALLOC(n); |
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last = ONE; |
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/* t1 = 1-t */ |
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for ( tg = g, tgh = gh; tg; tg = NEXT(tg), tgh = NEXT(tgh ) ) { |
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f = BDY((DP)BDY(tg)); |
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h = BDY((DP)BDY(tgh))->dl->d; |
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for ( ; f; f = NEXT(f) ) { |
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for ( i = 0; i < n; i++ ) wt[i] = h[i]-f->dl->d[i]; |
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for ( i = 0; i < n && !wt[i]; i++ ); |
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if ( i == n ) continue; |
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d1 = inner_product_with_small_vector(w1,wt); |
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d2 = inner_product_with_small_vector(w2,wt); |
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nm = d1; subq(d1,d2,&dn); |
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/* if d1=d2 then nothing happens */ |
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if ( !dn ) continue; |
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/* s satisfies ds = 0*/ |
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divq(nm,dn,&s); |
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if ( cmpq(s,t) > 0 && cmpq(s,last) < 0 ) |
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last = s; |
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else if ( !cmpq(s,t) ) { |
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if ( cmpq(d2,0) < 0 ) { |
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last = t; |
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break; |
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} |
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} |
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} |
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} |
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if ( !last ) { |
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dn = ONE; nm = 0; |
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} else { |
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NTOQ(NM(last),1,nm); |
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if ( INT(last) ) dn = ONE; |
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else { |
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NTOQ(DN(last),1,dn); |
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} |
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} |
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/* (1-n/d)*w1+n/d*w2 -> w=(d-n)*w1+n*w2 */ |
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subq(dn,nm,&t1); mulvect(CO,(Obj)w1,(Obj)t1,(Obj *)&wt1); |
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mulvect(CO,(Obj)w2,(Obj)nm,(Obj *)&wt2); addvect(CO,wt1,wt2,&w); |
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r0 = 0; |
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for ( tg = g, tgh = gh; tg; tg = NEXT(tg), tgh = NEXT(tgh ) ) { |
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f = BDY((DP)BDY(tg)); |
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h = BDY((DP)BDY(tgh))->dl->d; |
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for ( m0 = 0; f; f = NEXT(f) ) { |
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for ( i = 0; i < n; i++ ) wt[i] = h[i]-f->dl->d[i]; |
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for ( i = 0; i < n && !wt[i]; i++ ); |
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if ( !inner_product_with_small_vector(w,wt) ) { |
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NEXTMP(m0,m); m->c = f->c; m->dl = f->dl; |
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} |
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} |
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NEXT(m) = 0; |
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MKDP(((DP)BDY(tg))->nv,m0,d); d->sugar = ((DP)BDY(tg))->sugar; |
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NEXTNODE(r0,r); BDY(r) = (pointer)d; |
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} |
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NEXT(r) = 0; |
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*homo = r0; |
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*wp = w; |
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return last; |
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} |
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/* return 0 if last_w = infty */ |
/* return 0 if last_w = infty */ |
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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, |
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Line 2890 NODE compute_last_w(NODE g,NODE gh,int n,int **w, |
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} |
} |
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/* compute a sufficient set of d(f)=u-v */ |
/* compute a sufficient set of d(f)=u-v */ |
static int comp_vector_lex_nv; |
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int comp_vector_lex(int **a,int **b) |
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{ |
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int i; |
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int *pa,*pb; |
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pa = *a; pb = *b; |
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for ( i = 0; i < comp_vector_lex_nv; i++ ) |
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if ( pa[i] < pb[i] ) return -1; |
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else if ( pa[i] > pb[i] ) return 1; |
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return 0; |
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} |
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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; |
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Q q; |
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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) ) { |
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for ( k = 0, t = 0; k < nv; k++ ) { |
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d[k] = hj->d[k]-di->d[k]; |
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t += d[k]; |
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} |
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dl->td = t; |
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#if 1 |
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for ( rt = r0; rt; rt = NEXT(rt) ) { |
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dlt = (DL)BDY(rt); |
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if ( dlt->td != dl->td ) continue; |
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for ( dt = dlt->d, k = 0; k < nv; k++ ) |
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if ( d[k] != dt[k] ) break; |
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if ( k == nv ) break; |
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} |
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#else |
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rt = 0; |
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#endif |
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if ( !rt ) { |
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MKNODE(r1,dl,r); r = r1; |
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_NEWDL(dl,nv); d = dl->d; |
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} |
} |
} |
} |
} |
} |
} |
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"); |
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} |
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for ( i = 0; i < len; i++ ) { |
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mi = mat[i]; |
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if ( !mi ) continue; |
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for ( j = i+1; j < len; j++ ) { |
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mj = mat[j]; |
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if ( !mj ) continue; |
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for ( k = 0; k < nv; k++ ) |
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if ( mi[k] > mj[k] ) break; |
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if ( k == nv ) mat[j] = 0; |
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} |
} |
} |
MKNODE(r1,0,ri); MKLIST(l,r1); |
for ( i = 0; i < len; i++ ) { |
BDY(rt) = (pointer)l; |
if ( mat[i] ) { |
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for ( j = 0; j < nv; j++ ) |
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printf("%d ",mat[i][j]); |
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printf("\n"); |
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} |
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} |
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r = 0; |
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for ( i = 0; i < len; i++ ) { |
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if ( mi = mat[i] ) { |
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MKVECT(v,nv); |
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for ( k = 0; k < nv; k++ ) { |
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STOQ(mi[k],q); |
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v->body[k] = (pointer)q; |
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} |
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MKNODE(r1,v,r); r = r1; |
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} |
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} |
} |
return r; |
return r; |
} |
} |