version 1.40, 2006/12/12 11:50:37 |
version 1.48, 2007/10/21 07:47:59 |
|
|
* 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 1.47 2007/10/14 02:32:21 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 813 void dp_red(DP p0,DP p1,DP p2,DP *head,DP *rest,P *dnp |
|
Line 840 void dp_red(DP p0,DP p1,DP p2,DP *head,DP *rest,P *dnp |
|
*head = h; *rest = r; *dnp = (P)c2; |
*head = h; *rest = r; *dnp = (P)c2; |
} |
} |
|
|
|
/* |
|
* m-reduction by a marked poly |
|
* do content reduction over Z or Q(x,...) |
|
* do nothing over finite fields |
|
* |
|
*/ |
|
|
|
|
|
void dp_red_marked(DP p0,DP p1,DP p2,DP hp2,DP *head,DP *rest,P *dnp,DP *multp) |
|
{ |
|
int i,n; |
|
DL d1,d2,d; |
|
MP m; |
|
DP t,s,r,h; |
|
Q c,c1,c2; |
|
N gn,tn; |
|
P g,a; |
|
P p[2]; |
|
|
|
n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(hp2)->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]; |
|
c1 = (Q)BDY(p1)->c; c2 = (Q)BDY(hp2)->c; |
|
if ( dp_fcoeffs == N_GFS ) { |
|
p[0] = (P)c1; p[1] = (P)c2; |
|
gcdsf(CO,p,2,&g); |
|
divsp(CO,(P)c1,g,&a); c1 = (Q)a; divsp(CO,(P)c2,g,&a); c2 = (Q)a; |
|
} else if ( dp_fcoeffs ) { |
|
/* do nothing */ |
|
} else 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; |
|
} |
|
} else { |
|
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; |
|
} |
|
NEWMP(m); m->dl = d; m->c = (P)c1; NEXT(m) = 0; MKDP(n,m,s); s->sugar = d->td; |
|
*multp = s; |
|
muld(CO,s,p2,&t); muldc(CO,p1,(P)c2,&s); subd(CO,s,t,&r); |
|
muldc(CO,p0,(P)c2,&h); |
|
*head = h; *rest = r; *dnp = (P)c2; |
|
} |
|
|
|
void dp_red_marked_mod(DP p0,DP p1,DP p2,DP hp2,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; |
|
|
|
n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(hp2)->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]; |
|
c1 = (P)BDY(p1)->c; c2 = (P)BDY(hp2)->c; |
|
gcdprsmp(CO,mod,c1,c2,&g); |
|
divsmp(CO,mod,c1,g,&u); c1 = u; divsmp(CO,mod,c2,g,&u); c2 = u; |
|
if ( NUM(c2) ) { |
|
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,s,p2,&t); |
|
if ( NUM(c2) ) { |
|
addmd(CO,mod,p1,t,&r); h = p0; |
|
} else { |
|
mulmdc(CO,mod,p1,c2,&s); addmd(CO,mod,s,t,&r); mulmdc(CO,mod,p0,c2,&h); |
|
} |
|
*head = h; *rest = r; *dnp = c2; |
|
} |
|
|
/* m-reduction over a field */ |
/* m-reduction over a field */ |
|
|
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 * |
|
Line 1063 void dp_true_nf(NODE b,DP g,DP *ps,int full,DP *rp,P * |
|
*rp = d; *dnp = dn; |
*rp = d; *dnp = dn; |
} |
} |
|
|
|
void dp_removecont2(DP p1,DP p2,DP *r1p,DP *r2p,Q *contp) |
|
{ |
|
struct oVECT v; |
|
int i,n1,n2,n; |
|
MP m,m0,t; |
|
Q *w; |
|
Q h; |
|
|
|
if ( p1 ) { |
|
for ( i = 0, m = BDY(p1); m; m = NEXT(m), i++ ); |
|
n1 = i; |
|
} else |
|
n1 = 0; |
|
if ( p2 ) { |
|
for ( i = 0, m = BDY(p2); m; m = NEXT(m), i++ ); |
|
n2 = i; |
|
} else |
|
n2 = 0; |
|
n = n1+n2; |
|
if ( !n ) { |
|
*r1p = 0; *r2p = 0; *contp = ONE; return; |
|
} |
|
w = (Q *)ALLOCA(n*sizeof(Q)); |
|
v.len = n; |
|
v.body = (pointer *)w; |
|
i = 0; |
|
if ( p1 ) |
|
for ( m = BDY(p1); i < n1; m = NEXT(m), i++ ) w[i] = (Q)m->c; |
|
if ( p2 ) |
|
for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) w[i] = (Q)m->c; |
|
h = w[0]; removecont_array((P *)w,n,1); divq(h,w[0],contp); |
|
i = 0; |
|
if ( p1 ) { |
|
for ( m0 = 0, t = BDY(p1); i < n1; i++, t = NEXT(t) ) { |
|
NEXTMP(m0,m); m->c = (P)w[i]; m->dl = t->dl; |
|
} |
|
NEXT(m) = 0; |
|
MKDP(p1->nv,m0,*r1p); (*r1p)->sugar = p1->sugar; |
|
} else |
|
*r1p = 0; |
|
if ( p2 ) { |
|
for ( m0 = 0, t = BDY(p2); i < n; i++, t = NEXT(t) ) { |
|
NEXTMP(m0,m); m->c = (P)w[i]; m->dl = t->dl; |
|
} |
|
NEXT(m) = 0; |
|
MKDP(p2->nv,m0,*r2p); (*r2p)->sugar = p2->sugar; |
|
} else |
|
*r2p = 0; |
|
} |
|
|
|
/* true nf by a marked GB */ |
|
|
|
void dp_true_nf_marked(NODE b,DP g,DP *ps,DP *hps,DP *rp,P *nmp,P *dnp) |
|
{ |
|
DP u,p,d,s,t,dmy,hp; |
|
NODE l; |
|
MP m,mr; |
|
int i,n,hmag; |
|
int *wb; |
|
int sugar,psugar,multiple; |
|
P nm,tnm1,dn,tdn,tdn1; |
|
Q cont; |
|
|
|
multiple = 0; |
|
hmag = multiple*HMAG(g); |
|
nm = (P)ONE; |
|
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)); |
|
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,&dmy); |
|
psugar = (BDY(g)->dl->td - BDY(p)->dl->td) + p->sugar; |
|
sugar = MAX(sugar,psugar); |
|
if ( !u ) { |
|
goto last; |
|
} else { |
|
d = t; |
|
mulp(CO,dn,tdn,&tdn1); dn = tdn1; |
|
} |
|
break; |
|
} |
|
} |
|
if ( u ) { |
|
g = u; |
|
if ( multiple && ((d && HMAG(d)>hmag) || (HMAG(g)>hmag)) ) { |
|
dp_removecont2(d,g,&t,&u,&cont); d = t; g = u; |
|
mulp(CO,nm,(P)cont,&tnm1); nm = tnm1; |
|
if ( d ) |
|
hmag = multiple*HMAG(d); |
|
else |
|
hmag = multiple*HMAG(g); |
|
} |
|
} 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 ) { |
|
dp_removecont2(d,0,&t,&u,&cont); d = t; |
|
mulp(CO,nm,(P)cont,&tnm1); nm = tnm1; |
|
d->sugar = sugar; |
|
} |
|
*rp = d; *nmp = nm; *dnp = dn; |
|
} |
|
|
|
void dp_true_nf_marked_mod(NODE b,DP g,DP *ps,DP *hps,int mod,DP *rp,P *dnp) |
|
{ |
|
DP hp,u,p,d,s,t; |
|
NODE l; |
|
MP m,mr; |
|
int i,n; |
|
int *wb; |
|
int sugar,psugar; |
|
P dn,tdn,tdn1; |
|
|
|
dn = (P)ONEM; |
|
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)); |
|
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_mod(d,g,p,hp,mod,&t,&u,&tdn); |
|
psugar = (BDY(g)->dl->td - BDY(p)->dl->td) + p->sugar; |
|
sugar = MAX(sugar,psugar); |
|
if ( !u ) { |
|
if ( d ) |
|
d->sugar = sugar; |
|
*rp = d; *dnp = dn; return; |
|
} else { |
|
d = t; |
|
mulmp(CO,mod,dn,tdn,&tdn1); dn = tdn1; |
|
} |
|
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; |
|
addmd(CO,mod,d,t,&s); d = s; |
|
dp_rest(g,&t); g = t; |
|
} |
|
} |
|
if ( d ) |
|
d->sugar = sugar; |
|
*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 2346 int dpv_ht(DPV p,DP *h) |
|
Line 2673 int dpv_ht(DPV p,DP *h) |
|
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; |
} |
} |
|
} |
|
|
|
/* return 1 if 0 <_w1 v && v <_w2 0 */ |
|
|
|
int in_c12(int n,int *v,int row1,int **w1,int row2, int **w2) |
|
{ |
|
int t1,t2; |
|
|
|
t1 = compare_zero(n,v,row1,w1); |
|
t2 = compare_zero(n,v,row2,w2); |
|
if ( t1 > 0 && t2 < 0 ) return 1; |
|
else return 0; |
|
} |
|
|
|
/* 0 < u => 1, 0 > u => -1 */ |
|
|
|
int compare_zero(int n,int *u,int row,int **w) |
|
{ |
|
int i,j,t; |
|
int *wi; |
|
|
|
for ( i = 0; i < row; i++ ) { |
|
wi = w[i]; |
|
for ( j = 0, t = 0; j < n; j++ ) t += u[j]*wi[j]; |
|
if ( t > 0 ) return 1; |
|
else if ( t < 0 ) return -1; |
|
} |
|
return 0; |
|
} |
|
|
|
/* functions for generic groebner walk */ |
|
/* u=0 means u=-infty */ |
|
|
|
int compare_facet_preorder(int n,int *u,int *v, |
|
int row1,int **w1,int row2,int **w2) |
|
{ |
|
int i,j,s,t,tu,tv; |
|
int *w2i,*uv; |
|
|
|
if ( !u ) return 1; |
|
uv = W_ALLOC(n); |
|
for ( i = 0; i < row2; i++ ) { |
|
w2i = w2[i]; |
|
for ( j = 0, tu = tv = 0; j < n; j++ ) |
|
if ( s = w2i[j] ) { |
|
tu += s*u[j]; tv += s*v[j]; |
|
} |
|
for ( j = 0; j < n; j++ ) uv[j] = u[j]*tv-v[j]*tu; |
|
t = compare_zero(n,uv,row1,w1); |
|
if ( t > 0 ) return 1; |
|
else if ( t < 0 ) return 0; |
|
} |
|
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 */ |
|
|
|
NODE compute_last_w(NODE g,NODE gh,int n,int **w, |
|
int row1,int **w1,int row2,int **w2) |
|
{ |
|
DP d; |
|
MP f,m0,m; |
|
int *wt,*v,*h; |
|
NODE t,s,n0,tn,n1,r0,r; |
|
int i; |
|
|
|
wt = W_ALLOC(n); |
|
n0 = 0; |
|
for ( t = g, s = gh; t; t = NEXT(t), s = NEXT(s) ) { |
|
f = BDY((DP)BDY(t)); |
|
h = BDY((DP)BDY(s))->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; |
|
|
|
if ( in_c12(n,wt,row1,w1,row2,w2) && |
|
compare_facet_preorder(n,*w,wt,row1,w1,row2,w2) ) { |
|
v = (int *)MALLOC_ATOMIC(n*sizeof(int)); |
|
for ( i = 0; i < n; i++ ) v[i] = wt[i]; |
|
MKNODE(n1,v,n0); n0 = n1; |
|
} |
|
} |
|
} |
|
if ( !n0 ) return 0; |
|
for ( t = n0; t; t = NEXT(t) ) { |
|
v = (int *)BDY(t); |
|
for ( s = n0; s; s = NEXT(s) ) |
|
if ( !compare_facet_preorder(n,v,(int *)BDY(s),row1,w1,row2,w2) ) |
|
break; |
|
if ( !s ) { |
|
*w = v; |
|
break; |
|
} |
|
} |
|
if ( !t ) |
|
error("compute_last_w : cannot happen"); |
|
r0 = 0; |
|
for ( t = g, s = gh; t; t = NEXT(t), s = NEXT(s) ) { |
|
f = BDY((DP)BDY(t)); |
|
h = BDY((DP)BDY(s))->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 ( i == n || |
|
(compare_facet_preorder(n,wt,*w,row1,w1,row2,w2) |
|
&& compare_facet_preorder(n,*w,wt,row1,w1,row2,w2)) ) { |
|
NEXTMP(m0,m); m->c = f->c; m->dl = f->dl; |
|
} |
|
} |
|
NEXT(m) = 0; |
|
MKDP(((DP)BDY(t))->nv,m0,d); d->sugar = ((DP)BDY(t))->sugar; |
|
NEXTNODE(r0,r); BDY(r) = (pointer)d; |
|
} |
|
NEXT(r) = 0; |
|
return r0; |
|
} |
|
|
|
/* compute a sufficient set of d(f)=u-v */ |
|
|
|
NODE compute_essential_df(DP *g,DP *gh,int ng) |
|
{ |
|
int nv,i,j,k,t,lj; |
|
NODE r,r1,ri,rt,r0; |
|
MP m; |
|
MP *mj; |
|
DL di,hj,dl,dlt; |
|
int *d,*dt; |
|
LIST l; |
|
Q q; |
|
|
|
nv = g[0]->nv; |
|
r = 0; |
|
for ( j = 0; j < ng; j++ ) { |
|
for ( m = BDY(g[j]), lj = 0; m; m = NEXT(m), lj++ ); |
|
mj = (MP *)ALLOCA(lj*sizeof(MP)); |
|
for ( m = BDY(g[j]), k = 0; m; m = NEXT(m), k++ ) |
|
mj[k] = m; |
|
for ( i = 0; i < lj; i++ ) { |
|
for ( di = mj[i]->dl, k = i+1; k < lj; k++ ) |
|
if ( _dl_redble(di,mj[k]->dl,nv) ) break; |
|
if ( k < lj ) mj[i] = 0; |
|
} |
|
hj = BDY(gh[j])->dl; |
|
_NEWDL(dl,nv); d = dl->d; |
|
r0 = r; |
|
for ( i = 0; i < lj; 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; |
|
} |
|
} |
|
} |
|
} |
|
for ( rt = r; rt; rt = NEXT(rt) ) { |
|
dl = (DL)BDY(rt); d = dl->d; |
|
ri = 0; |
|
for ( k = nv-1; k >= 0; k-- ) { |
|
STOQ(d[k],q); |
|
MKNODE(r1,q,ri); ri = r1; |
|
} |
|
MKNODE(r1,0,ri); MKLIST(l,r1); |
|
BDY(rt) = (pointer)l; |
|
} |
|
return r; |
} |
} |