version 1.40, 2006/12/12 11:50:37 |
version 1.42, 2007/09/06 02:23:40 |
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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 1.39 2005/08/25 18:59:11 ohara Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/dp-supp.c,v 1.41 2007/08/21 23:53:00 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "base.h" |
#include "base.h" |
Line 813 void dp_red(DP p0,DP p1,DP p2,DP *head,DP *rest,P *dnp |
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Line 813 void dp_red(DP p0,DP p1,DP p2,DP *head,DP *rest,P *dnp |
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*head = h; *rest = r; *dnp = (P)c2; |
*head = h; *rest = r; *dnp = (P)c2; |
} |
} |
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/* |
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* m-reduction by a marked poly |
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* do content reduction over Z or Q(x,...) |
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* do nothing over finite fields |
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* |
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*/ |
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void dp_red_marked(DP p0,DP p1,DP p2,DP hp2,DP *head,DP *rest,P *dnp,DP *multp) |
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{ |
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int i,n; |
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DL d1,d2,d; |
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MP m; |
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DP t,s,r,h; |
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Q c,c1,c2; |
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N gn,tn; |
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P g,a; |
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P p[2]; |
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n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(hp2)->dl; |
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NEWDL(d,n); d->td = d1->td - d2->td; |
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for ( i = 0; i < n; i++ ) |
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d->d[i] = d1->d[i]-d2->d[i]; |
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c1 = (Q)BDY(p1)->c; c2 = (Q)BDY(hp2)->c; |
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if ( dp_fcoeffs == N_GFS ) { |
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p[0] = (P)c1; p[1] = (P)c2; |
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gcdsf(CO,p,2,&g); |
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divsp(CO,(P)c1,g,&a); c1 = (Q)a; divsp(CO,(P)c2,g,&a); c2 = (Q)a; |
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} else if ( dp_fcoeffs ) { |
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/* do nothing */ |
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} else if ( INT(c1) && INT(c2) ) { |
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gcdn(NM(c1),NM(c2),&gn); |
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if ( !UNIN(gn) ) { |
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divsn(NM(c1),gn,&tn); NTOQ(tn,SGN(c1),c); c1 = c; |
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divsn(NM(c2),gn,&tn); NTOQ(tn,SGN(c2),c); c2 = c; |
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} |
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} else { |
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ezgcdpz(CO,(P)c1,(P)c2,&g); |
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divsp(CO,(P)c1,g,&a); c1 = (Q)a; divsp(CO,(P)c2,g,&a); c2 = (Q)a; |
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} |
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NEWMP(m); m->dl = d; chsgnp((P)c1,&m->c); NEXT(m) = 0; MKDP(n,m,s); s->sugar = d->td; |
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*multp = s; |
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muld(CO,s,p2,&t); muldc(CO,p1,(P)c2,&s); addd(CO,s,t,&r); |
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muldc(CO,p0,(P)c2,&h); |
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*head = h; *rest = r; *dnp = (P)c2; |
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} |
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/* m-reduction over a field */ |
/* m-reduction over a field */ |
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void dp_red_f(DP p1,DP p2,DP *rest) |
void dp_red_f(DP p1,DP p2,DP *rest) |
Line 961 void dp_true_nf(NODE b,DP g,DP *ps,int full,DP *rp,P * |
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Line 1008 void dp_true_nf(NODE b,DP g,DP *ps,int full,DP *rp,P * |
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*rp = d; *dnp = dn; |
*rp = d; *dnp = dn; |
} |
} |
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/* true nf by a marked GB */ |
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void dp_true_nf_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; |
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NODE l; |
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MP m,mr; |
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int i,n; |
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int *wb; |
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int sugar,psugar; |
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P dn,tdn,tdn1; |
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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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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,&dmy); |
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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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if ( !u ) { |
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if ( d ) |
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d->sugar = sugar; |
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*rp = d; *dnp = dn; return; |
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} else { |
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d = t; |
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mulp(CO,dn,tdn,&tdn1); dn = tdn1; |
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} |
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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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if ( d ) |
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d->sugar = sugar; |
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*rp = d; *dnp = dn; |
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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 2346 int dpv_ht(DPV p,DP *h) |
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Line 2446 int dpv_ht(DPV p,DP *h) |
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MKDP(e[maxi]->nv,mr,*h); (*h)->sugar = mr->dl->td; /* XXX */ |
MKDP(e[maxi]->nv,mr,*h); (*h)->sugar = mr->dl->td; /* XXX */ |
return maxi; |
return maxi; |
} |
} |
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} |
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/* return 1 if 0 <_w1 v && v <_w2 0 */ |
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int in_c12(int n,int *v,int row1,int **w1,int row2, int **w2) |
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{ |
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int t1,t2; |
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t1 = compare_zero(n,v,row1,w1); |
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t2 = compare_zero(n,v,row2,w2); |
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if ( t1 > 0 && t2 < 0 ) return 1; |
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else return 0; |
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} |
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/* 0 < u => 1, 0 > u => -1 */ |
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int compare_zero(int n,int *u,int row,int **w) |
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{ |
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int i,j,t; |
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int *wi; |
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for ( i = 0; i < row; i++ ) { |
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wi = w[i]; |
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for ( j = 0, t = 0; j < n; j++ ) t += u[j]*wi[j]; |
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if ( t > 0 ) return 1; |
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else if ( t < 0 ) return -1; |
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} |
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return 0; |
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} |
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/* functions for generic groebner walk */ |
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/* u=0 means u=-infty */ |
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int compare_facet_preorder(int n,int *u,int *v, |
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int row1,int **w1,int row2,int **w2) |
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{ |
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int i,j,s,t,tu,tv; |
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int *w2i,*uv; |
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if ( !u ) return 1; |
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uv = W_ALLOC(n); |
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for ( i = 0; i < row2; i++ ) { |
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w2i = w2[i]; |
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for ( j = 0, tu = tv = 0; j < n; j++ ) |
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if ( s = w2i[j] ) { |
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tu += s*u[j]; tv += s*v[j]; |
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} |
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for ( j = 0; j < n; j++ ) uv[j] = u[j]*tv-v[j]*tu; |
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t = compare_zero(n,uv,row1,w1); |
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if ( t > 0 ) return 1; |
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else if ( t < 0 ) return 0; |
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} |
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return 1; |
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} |
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/* return 0 if last_w = infty */ |
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NODE compute_last_w(NODE g,NODE gh,int n,int **w, |
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int row1,int **w1,int row2,int **w2) |
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{ |
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DP d; |
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MP f,m0,m; |
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int *wt,*v,*h; |
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NODE t,s,n0,tn,n1,r0,r; |
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int i; |
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wt = W_ALLOC(n); |
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n0 = 0; |
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for ( t = g, s = gh; t; t = NEXT(t), s = NEXT(s) ) { |
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f = BDY((DP)BDY(t)); |
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h = BDY((DP)BDY(s))->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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if ( in_c12(n,wt,row1,w1,row2,w2) && |
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compare_facet_preorder(n,*w,wt,row1,w1,row2,w2) ) { |
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v = (int *)MALLOC_ATOMIC(n*sizeof(int)); |
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for ( i = 0; i < n; i++ ) v[i] = wt[i]; |
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MKNODE(n1,v,n0); n0 = n1; |
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} |
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} |
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} |
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if ( !n0 ) return 0; |
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for ( t = n0; t; t = NEXT(t) ) { |
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v = (int *)BDY(t); |
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for ( s = n0; s; s = NEXT(s) ) |
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if ( !compare_facet_preorder(n,v,(int *)BDY(s),row1,w1,row2,w2) ) |
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break; |
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if ( !s ) { |
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*w = v; |
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break; |
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} |
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} |
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if ( !t ) |
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error("compute_last_w : cannot happen"); |
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r0 = 0; |
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for ( t = g, s = gh; t; t = NEXT(t), s = NEXT(s) ) { |
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f = BDY((DP)BDY(t)); |
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h = BDY((DP)BDY(s))->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 ( i == n || |
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(compare_facet_preorder(n,wt,*w,row1,w1,row2,w2) |
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&& compare_facet_preorder(n,*w,wt,row1,w1,row2,w2)) ) { |
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NEXTMP(m0,m); m->c = f->c; m->dl = f->dl; |
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} |
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NEXT(m) = 0; |
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} |
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MKDP(((DP)BDY(t))->nv,m0,d); d->sugar = ((DP)BDY(t))->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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return r0; |
} |
} |