version 1.9, 2000/12/08 08:26:08 |
version 1.18, 2001/09/17 10:32:40 |
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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 1.8 2000/12/08 06:43:09 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/dp-supp.c,v 1.17 2001/09/17 02:58:27 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "base.h" |
#include "base.h" |
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#include "inline.h" |
#include "parse.h" |
#include "parse.h" |
#include "ox.h" |
#include "ox.h" |
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} |
} |
} |
} |
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void _dp_sp_dup(p1,p2,rp) |
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DP p1,p2; |
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DP *rp; |
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{ |
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int i,n,td; |
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int *w; |
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DL d1,d2,d; |
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MP m; |
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DP t,s1,s2,u; |
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Q c,c1,c2; |
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N gn,tn; |
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n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; |
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w = (int *)ALLOCA(n*sizeof(int)); |
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for ( i = 0, td = 0; i < n; i++ ) { |
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w[i] = MAX(d1->d[i],d2->d[i]); td += w[i]; |
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} |
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_NEWDL(d,n); d->td = td - d1->td; |
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for ( i = 0; i < n; i++ ) |
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d->d[i] = w[i] - d1->d[i]; |
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c1 = (Q)BDY(p1)->c; c2 = (Q)BDY(p2)->c; |
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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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} |
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_NEWMP(m); m->dl = d; m->c = (P)c2; NEXT(m) = 0; |
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_MKDP(n,m,s1); s1->sugar = d->td; _muld_dup(CO,s1,p1,&t); _free_dp(s1); |
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_NEWDL(d,n); d->td = td - d2->td; |
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for ( i = 0; i < n; i++ ) |
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d->d[i] = w[i] - d2->d[i]; |
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_NEWMP(m); m->dl = d; chsgnp((P)c1,&m->c); NEXT(m) = 0; |
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_MKDP(n,m,s2); s2->sugar = d->td; _muld_dup(CO,s2,p2,&u); _free_dp(s2); |
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_addd_destructive(CO,t,u,rp); |
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if ( GenTrace ) { |
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LIST hist; |
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NODE node; |
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node = mknode(4,ONE,0,s1,ONE); |
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MKLIST(hist,node); |
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MKNODE(TraceList,hist,0); |
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node = mknode(4,ONE,0,0,ONE); |
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chsgnd(s2,(DP *)&ARG2(node)); |
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MKLIST(hist,node); |
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MKNODE(node,hist,TraceList); TraceList = node; |
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} |
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} |
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void dp_sp_mod(p1,p2,mod,rp) |
void dp_sp_mod(p1,p2,mod,rp) |
DP p1,p2; |
DP p1,p2; |
int mod; |
int mod; |
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for ( i = 0, td = 0; i < n; i++ ) { |
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 += w[i]; |
} |
} |
NEWDL(d,n); d->td = td - d1->td; |
NEWDL_NOINIT(d,n); d->td = td - d1->td; |
for ( i = 0; i < n; i++ ) |
for ( i = 0; i < n; i++ ) |
d->d[i] = w[i] - d1->d[i]; |
d->d[i] = w[i] - d1->d[i]; |
NEWMP(m); m->dl = d; m->c = (P)BDY(p2)->c; NEXT(m) = 0; |
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); |
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++ ) |
for ( i = 0; i < n; i++ ) |
d->d[i] = w[i] - d2->d[i]; |
d->d[i] = w[i] - d2->d[i]; |
NEWMP(m); m->dl = d; m->c = (P)BDY(p1)->c; NEXT(m) = 0; |
NEWMP(m); m->dl = d; m->c = (P)BDY(p1)->c; NEXT(m) = 0; |
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/* |
/* |
* m-reduction |
* m-reduction |
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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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*head = h; *rest = r; *dnp = (P)c2; |
*head = h; *rest = r; *dnp = (P)c2; |
} |
} |
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/* m-reduction over a field */ |
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void dp_red_f(p1,p2,rest) |
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DP p1,p2; |
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DP *rest; |
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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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Obj a,b; |
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n = p1->nv; |
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d1 = BDY(p1)->dl; d2 = BDY(p2)->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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NEWMP(m); m->dl = d; |
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divr(CO,(Obj)BDY(p1)->c,(Obj)BDY(p2)->c,&a); chsgnr(a,&b); |
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C(m) = (P)b; |
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NEXT(m) = 0; MKDP(n,m,s); s->sugar = d->td; |
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muld(CO,s,p2,&t); addd(CO,p1,t,rest); |
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} |
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void dp_red_mod(p0,p1,p2,mod,head,rest,dnp) |
void dp_red_mod(p0,p1,p2,mod,head,rest,dnp) |
DP p0,p1,p2; |
DP p0,p1,p2; |
int mod; |
int mod; |
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divsmp(CO,mod,c1,c2,&u); c1 = u; c2 = (P)ONEM; |
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; |
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) ) { |
if ( NUM(c2) ) { |
addmd(CO,mod,p1,t,&r); h = p0; |
addmd(CO,mod,p1,t,&r); h = p0; |
} else { |
} else { |
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*head = h; *rest = r; *dnp = c2; |
*head = h; *rest = r; *dnp = c2; |
} |
} |
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struct oEGT eg_red_mod; |
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void _dp_red_mod_destructive(p1,p2,mod,rp) |
void _dp_red_mod_destructive(p1,p2,mod,rp) |
DP p1,p2; |
DP p1,p2; |
int mod; |
int mod; |
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DL d1,d2,d; |
DL d1,d2,d; |
MP m; |
MP m; |
DP t,s; |
DP t,s; |
int c,c1; |
int c,c1,c2; |
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struct oEGT t0,t1; |
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extern int do_weyl; |
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n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; |
n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; |
_NEWDL(d,n); d->td = d1->td - d2->td; |
_NEWDL(d,n); d->td = d1->td - d2->td; |
for ( i = 0; i < n; i++ ) |
for ( i = 0; i < n; i++ ) |
d->d[i] = d1->d[i]-d2->d[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); |
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c2 = ITOS(BDY(p1)->c); |
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DMAR(c,c2,0,mod,c1); |
_NEWMP(m); m->dl = d; m->c = STOI(mod-c1); NEXT(m) = 0; |
_NEWMP(m); m->dl = d; m->c = STOI(mod-c1); NEXT(m) = 0; |
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#if 0 |
_MKDP(n,m,s); s->sugar = d->td; |
_MKDP(n,m,s); s->sugar = d->td; |
_mulmd_dup(mod,s,p2,&t); _free_dp(s); |
_mulmd_dup(mod,s,p2,&t); _free_dp(s); |
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#else |
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if ( do_weyl ) { |
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_weyl_mulmdm_dup(mod,p2,m,&t); _FREEMP(m); |
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} else { |
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_mulmdm_dup(mod,p2,m,&t); _FREEMP(m); |
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} |
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#endif |
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/* get_eg(&t0); */ |
_addmd_destructive(mod,p1,t,rp); |
_addmd_destructive(mod,p1,t,rp); |
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/* get_eg(&t1); add_eg(&eg_red_mod,&t0,&t1); */ |
} |
} |
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/* |
/* |
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*rp = d; *dnp = dn; |
*rp = d; *dnp = dn; |
} |
} |
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void dp_nf_ptozp(b,g,ps,full,multiple,rp) |
/* nf computation over Z */ |
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void dp_nf_z(b,g,ps,full,multiple,rp) |
NODE b; |
NODE b; |
DP g; |
DP g; |
DP *ps; |
DP *ps; |
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wb = (int *)ALLOCA(n*sizeof(int)); |
wb = (int *)ALLOCA(n*sizeof(int)); |
for ( i = 0, l = b; i < n; l = NEXT(l), i++ ) |
for ( i = 0, l = b; i < n; l = NEXT(l), i++ ) |
wb[i] = QTOS((Q)BDY(l)); |
wb[i] = QTOS((Q)BDY(l)); |
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hmag = multiple*HMAG(g); |
hmag = multiple*HMAG(g); |
sugar = g->sugar; |
sugar = g->sugar; |
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for ( d = 0; g; ) { |
for ( d = 0; g; ) { |
for ( u = 0, i = 0; i < n; i++ ) { |
for ( u = 0, i = 0; i < n; i++ ) { |
if ( dp_redble(g,p = ps[wb[i]]) ) { |
if ( dp_redble(g,p = ps[wb[i]]) ) { |
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*rp = d; |
*rp = d; |
} |
} |
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/* nf computation over a field */ |
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void dp_nf_f(b,g,ps,full,rp) |
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NODE b; |
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DP g; |
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DP *ps; |
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int full; |
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DP *rp; |
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{ |
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DP u,p,d,s,t; |
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P dmy; |
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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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if ( !g ) { |
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*rp = 0; 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,p = ps[wb[i]]) ) { |
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dp_red_f(g,p,&u); |
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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; return; |
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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 if ( !full ) { |
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if ( g ) { |
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MKDP(g->nv,BDY(g),t); t->sugar = sugar; g = t; |
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} |
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*rp = g; return; |
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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; |
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} |
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/* nf computation over GF(mod) (only for internal use) */ |
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void dp_nf_mod(b,g,ps,mod,full,rp) |
void dp_nf_mod(b,g,ps,mod,full,rp) |
NODE b; |
NODE b; |
DP g; |
DP g; |
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_dptodp(d,rp); _free_dp(d); |
_dptodp(d,rp); _free_dp(d); |
} |
} |
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/* reduction by linear base over a field */ |
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void dp_lnf_f(p1,p2,g,r1p,r2p) |
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DP p1,p2; |
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NODE g; |
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DP *r1p,*r2p; |
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{ |
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DP r1,r2,b1,b2,t,s; |
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Obj c,c1,c2; |
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NODE l,b; |
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int n; |
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if ( !p1 ) { |
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*r1p = p1; *r2p = p2; return; |
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} |
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n = p1->nv; |
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for ( l = g, r1 = p1, r2 = p2; l; l = NEXT(l) ) { |
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if ( !r1 ) { |
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*r1p = r1; *r2p = r2; return; |
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} |
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b = BDY((LIST)BDY(l)); b1 = (DP)BDY(b); |
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if ( dl_equal(n,BDY(r1)->dl,BDY(b1)->dl) ) { |
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b2 = (DP)BDY(NEXT(b)); |
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divr(CO,(Obj)ONE,(Obj)BDY(b1)->c,&c1); |
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mulr(CO,c1,(Obj)BDY(r1)->c,&c2); chsgnr(c2,&c); |
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muldc(CO,b1,(P)c,&t); addd(CO,r1,t,&s); r1 = s; |
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muldc(CO,b2,(P)c,&t); addd(CO,r2,t,&s); r2 = s; |
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} |
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} |
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*r1p = r1; *r2p = r2; |
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} |
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/* reduction by linear base over GF(mod) */ |
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void dp_lnf_mod(p1,p2,g,mod,r1p,r2p) |
void dp_lnf_mod(p1,p2,g,mod,r1p,r2p) |
DP p1,p2; |
DP p1,p2; |
NODE g; |
NODE g; |
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} |
} |
} |
} |
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int dp_homogeneous(p) |
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DP p; |
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{ |
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MP m; |
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int d; |
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if ( !p ) |
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return 1; |
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else { |
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m = BDY(p); |
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d = m->dl->td; |
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m = NEXT(m); |
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for ( ; m; m = NEXT(m) ) { |
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if ( m->dl->td != d ) |
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return 0; |
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} |
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return 1; |
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} |
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} |
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_print_mp(nv,m) |
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int nv; |
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MP m; |
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{ |
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int i; |
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if ( !m ) |
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return; |
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for ( ; m; m = NEXT(m) ) { |
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fprintf(stderr,"%d<",ITOS(C(m))); |
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for ( i = 0; i < nv; i++ ) { |
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fprintf(stderr,"%d",m->dl->d[i]); |
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if ( i != nv-1 ) |
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fprintf(stderr," "); |
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} |
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fprintf(stderr,">",C(m)); |
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} |
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fprintf(stderr,"\n"); |
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} |