| version 1.5, 2000/08/21 08:31:27 |
version 1.13, 2003/07/21 01:57:51 |
|
|
| * shall be made on your publication or presentation in any form of the |
* shall be made on your publication or presentation in any form of the |
| * results obtained by use of the SOFTWARE. |
* results obtained by use of the SOFTWARE. |
| * (4) In the event that you modify the SOFTWARE, you shall notify FLL by |
* (4) In the event that you modify the SOFTWARE, you shall notify FLL by |
| * e-mail at risa-admin@flab.fujitsu.co.jp of the detailed specification |
* e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification |
| * for such modification or the source code of the modified part of the |
* for such modification or the source code of the modified part of the |
| * SOFTWARE. |
* SOFTWARE. |
| * |
* |
|
|
| * 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/engine/distm.c,v 1.4 2000/07/13 05:09:01 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/engine/distm.c,v 1.12 2003/07/20 08:55:23 noro Exp $ |
| */ |
*/ |
| #include "ca.h" |
#include "ca.h" |
| #include "inline.h" |
#include "inline.h" |
| |
|
| #define NV(p) ((p)->nv) |
|
| #define C(p) ((p)->c) |
|
| #if 0 |
|
| #define ITOS(p) (((unsigned int)(p))>>1) |
|
| #define STOI(i) ((P)((((unsigned int)(i))<<1)|1)) |
|
| #else |
|
| #define ITOS(p) (((unsigned int)(p))&0x7fffffff) |
|
| #define STOI(i) ((P)((unsigned int)(i)|0x80000000)) |
|
| #endif |
|
| |
|
| extern int (*cmpdl)(); |
extern int (*cmpdl)(); |
| extern int do_weyl; |
extern int do_weyl; |
| |
|
| void comm_mulmd(); |
void ptomd(VL vl,int mod,VL dvl,P p,DP *pr) |
| void weyl_mulmd(); |
|
| void weyl_mulmdm(); |
|
| void weyl_mulmmm(); |
|
| void _comm_mulmd(); |
|
| void _weyl_mulmd(); |
|
| void _weyl_mulmmm(); |
|
| void _weyl_mulmdm(); |
|
| |
|
| void ptomd(vl,mod,dvl,p,pr) |
|
| VL vl,dvl; |
|
| int mod; |
|
| P p; |
|
| DP *pr; |
|
| { |
{ |
| P t; |
P t; |
| |
|
|
|
| mptomd(vl,mod,dvl,t,pr); |
mptomd(vl,mod,dvl,t,pr); |
| } |
} |
| |
|
| void mptomd(vl,mod,dvl,p,pr) |
void mptomd(VL vl,int mod,VL dvl,P p,DP *pr) |
| VL vl,dvl; |
|
| int mod; |
|
| P p; |
|
| DP *pr; |
|
| { |
{ |
| int n,i; |
int n,i; |
| VL tvl; |
VL tvl; |
|
|
| } else { |
} else { |
| for ( dc = DC(p), s = 0; dc; dc = NEXT(dc) ) { |
for ( dc = DC(p), s = 0; dc; dc = NEXT(dc) ) { |
| mptomd(vl,mod,dvl,COEF(dc),&t); |
mptomd(vl,mod,dvl,COEF(dc),&t); |
| NEWDL(d,n); d->td = QTOS(DEG(dc)); d->d[i] = d->td; |
NEWDL(d,n); d->d[i] = QTOS(DEG(dc)); |
| |
d->td = MUL_WEIGHT(d->d[i],i); |
| NEWMP(m); m->dl = d; C(m) = (P)ONEM; NEXT(m) = 0; MKDP(n,m,u); |
NEWMP(m); m->dl = d; C(m) = (P)ONEM; NEXT(m) = 0; MKDP(n,m,u); |
| comm_mulmd(vl,mod,t,u,&r); addmd(vl,mod,r,s,&t); s = t; |
comm_mulmd(vl,mod,t,u,&r); addmd(vl,mod,r,s,&t); s = t; |
| } |
} |
|
|
| } |
} |
| } |
} |
| |
|
| void mdtop(vl,mod,dvl,p,pr) |
void mdtop(VL vl,int mod,VL dvl,DP p,P *pr) |
| VL vl,dvl; |
|
| int mod; |
|
| DP p; |
|
| P *pr; |
|
| { |
{ |
| int n,i; |
int n,i; |
| DL d; |
DL d; |
|
|
| } |
} |
| } |
} |
| |
|
| void addmd(vl,mod,p1,p2,pr) |
void addmd(VL vl,int mod,DP p1,DP p2,DP *pr) |
| VL vl; |
|
| int mod; |
|
| DP p1,p2,*pr; |
|
| { |
{ |
| int n; |
int n; |
| MP m1,m2,mr,mr0; |
MP m1,m2,mr,mr0; |
|
|
| } |
} |
| } |
} |
| |
|
| void submd(vl,mod,p1,p2,pr) |
void submd(VL vl,int mod,DP p1,DP p2,DP *pr) |
| VL vl; |
|
| int mod; |
|
| DP p1,p2,*pr; |
|
| { |
{ |
| DP t; |
DP t; |
| |
|
|
|
| } |
} |
| } |
} |
| |
|
| void chsgnmd(mod,p,pr) |
void chsgnmd(int mod,DP p,DP *pr) |
| int mod; |
|
| DP p,*pr; |
|
| { |
{ |
| MP m,mr,mr0; |
MP m,mr,mr0; |
| |
|
|
|
| } |
} |
| } |
} |
| |
|
| void mulmd(vl,mod,p1,p2,pr) |
void mulmd(VL vl,int mod,DP p1,DP p2,DP *pr) |
| VL vl; |
|
| int mod; |
|
| DP p1,p2,*pr; |
|
| { |
{ |
| if ( !do_weyl ) |
if ( !do_weyl ) |
| comm_mulmd(vl,mod,p1,p2,pr); |
comm_mulmd(vl,mod,p1,p2,pr); |
|
|
| weyl_mulmd(vl,mod,p1,p2,pr); |
weyl_mulmd(vl,mod,p1,p2,pr); |
| } |
} |
| |
|
| void comm_mulmd(vl,mod,p1,p2,pr) |
void comm_mulmd(VL vl,int mod,DP p1,DP p2,DP *pr) |
| VL vl; |
|
| int mod; |
|
| DP p1,p2,*pr; |
|
| { |
{ |
| MP m; |
MP m; |
| DP s,t,u; |
DP s,t,u; |
|
|
| } |
} |
| } |
} |
| |
|
| void weyl_mulmd(vl,mod,p1,p2,pr) |
void weyl_mulmd(VL vl,int mod,DP p1,DP p2,DP *pr) |
| VL vl; |
|
| int mod; |
|
| DP p1,p2,*pr; |
|
| { |
{ |
| MP m; |
MP m; |
| DP s,t,u; |
DP s,t,u; |
| int i,l,l1; |
int i,l; |
| static MP *w; |
static MP *w; |
| static int wlen; |
static int wlen; |
| |
|
|
|
| } |
} |
| } |
} |
| |
|
| void mulmdm(vl,mod,p,m0,pr) |
void mulmdm(VL vl,int mod,DP p,MP m0,DP *pr) |
| VL vl; |
|
| int mod; |
|
| DP p; |
|
| MP m0; |
|
| DP *pr; |
|
| { |
{ |
| MP m,mr,mr0; |
MP m,mr,mr0; |
| P c; |
P c; |
|
|
| } |
} |
| } |
} |
| |
|
| void weyl_mulmdm(vl,mod,p,m0,pr) |
void weyl_mulmdm(VL vl,int mod,DP p,MP m0,DP *pr) |
| VL vl; |
|
| int mod; |
|
| DP p; |
|
| MP m0; |
|
| DP *pr; |
|
| { |
{ |
| DP r,t,t1; |
DP r,t,t1; |
| MP m; |
MP m; |
|
|
| |
|
| /* m0 = x0^d0*x1^d1*... * dx0^d(n/2)*dx1^d(n/2+1)*... */ |
/* m0 = x0^d0*x1^d1*... * dx0^d(n/2)*dx1^d(n/2+1)*... */ |
| |
|
| void weyl_mulmmm(vl,mod,m0,m1,n,pr) |
void weyl_mulmmm(VL vl,int mod,MP m0,MP m1,int n,DP *pr) |
| VL vl; |
|
| int mod; |
|
| MP m0,m1; |
|
| int n; |
|
| DP *pr; |
|
| { |
{ |
| MP m,mr,mr0; |
MP mr,mr0; |
| MQ mq; |
MQ mq; |
| DP r,t,t1; |
DP r,t,t1; |
| P c,c0,c1,cc; |
P c,c0,c1; |
| DL d,d0,d1; |
DL d,d0,d1; |
| int i,j,a,b,k,l,n2,s,min; |
int i,j,a,b,k,l,n2,s,min; |
| static int *tab; |
static int *tab; |
|
|
| for ( i = 0; i < n2; i++ ) { |
for ( i = 0; i < n2; i++ ) { |
| a = d0->d[i]; b = d1->d[n2+i]; |
a = d0->d[i]; b = d1->d[n2+i]; |
| k = d0->d[n2+i]; l = d1->d[i]; |
k = d0->d[n2+i]; l = d1->d[i]; |
| |
|
| /* degree of xi^a*(Di^k*xi^l)*Di^b */ |
/* degree of xi^a*(Di^k*xi^l)*Di^b */ |
| s = a+k+l+b; |
a += l; |
| |
b += k; |
| |
s = MUL_WEIGHT(a,i)+MUL_WEIGHT(b,n2+i); |
| |
|
| /* compute xi^a*(Di^k*xi^l)*Di^b */ |
/* compute xi^a*(Di^k*xi^l)*Di^b */ |
| min = MIN(k,l); |
min = MIN(k,l); |
| |
|
|
|
| if ( n & 1 ) |
if ( n & 1 ) |
| for ( mr0 = 0, j = 0; j <= min; j++ ) { |
for ( mr0 = 0, j = 0; j <= min; j++ ) { |
| NEXTMP(mr0,mr); NEWDL(d,n); |
NEXTMP(mr0,mr); NEWDL(d,n); |
| d->d[i] = l-j+a; d->d[n2+i] = k-j+b; |
d->d[i] = a-j; d->d[n2+i] = b-j; |
| d->td = s; |
d->td = s; |
| d->d[n-1] = s-(d->d[i]+d->d[n2+i]); |
d->d[n-1] = s-(MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i)); |
| STOMQ(tab[j],mq); mr->c = (P)mq; mr->dl = d; |
STOMQ(tab[j],mq); mr->c = (P)mq; mr->dl = d; |
| } |
} |
| else |
else |
| for ( mr0 = 0, s = 0, j = 0; j <= min; j++ ) { |
for ( mr0 = 0, s = 0, j = 0; j <= min; j++ ) { |
| NEXTMP(mr0,mr); NEWDL(d,n); |
NEXTMP(mr0,mr); NEWDL(d,n); |
| d->d[i] = l-j+a; d->d[n2+i] = k-j+b; |
d->d[i] = a-j; d->d[n2+i] = b-j; |
| d->td = d->d[i]+d->d[n2+i]; /* XXX */ |
d->td = MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i); /* XXX */ |
| s = MAX(s,d->td); /* XXX */ |
s = MAX(s,d->td); /* XXX */ |
| STOMQ(tab[j],mq); mr->c = (P)mq; mr->dl = d; |
STOMQ(tab[j],mq); mr->c = (P)mq; mr->dl = d; |
| } |
} |
|
|
| } |
} |
| } |
} |
| |
|
| void mulmdc(vl,mod,p,c,pr) |
void mulmdc(VL vl,int mod,DP p,P c,DP *pr) |
| VL vl; |
|
| int mod; |
|
| DP p; |
|
| P c; |
|
| DP *pr; |
|
| { |
{ |
| MP m,mr,mr0; |
MP m,mr,mr0; |
| int t; |
int t; |
|
|
| } |
} |
| } |
} |
| |
|
| void divsmdc(vl,mod,p,c,pr) |
void divsmdc(VL vl,int mod,DP p,P c,DP *pr) |
| VL vl; |
|
| int mod; |
|
| DP p; |
|
| P c; |
|
| DP *pr; |
|
| { |
{ |
| MP m,mr,mr0; |
MP m,mr,mr0; |
| |
|
|
|
| } |
} |
| } |
} |
| |
|
| void _mdtop(vl,mod,dvl,p,pr) |
void _dtop_mod(VL vl,VL dvl,DP p,P *pr) |
| VL vl,dvl; |
|
| int mod; |
|
| DP p; |
|
| P *pr; |
|
| { |
{ |
| int n,i; |
int n,i; |
| DL d; |
DL d; |
| MP m; |
MP m; |
| P r,s,t,u,w; |
P r,s,t,u,w; |
| Q q; |
Q q; |
| MQ tq; |
|
| VL tvl; |
VL tvl; |
| |
|
| if ( !p ) |
if ( !p ) |
| *pr = 0; |
*pr = 0; |
| else { |
else { |
| for ( n = p->nv, m = BDY(p), s = 0; m; m = NEXT(m) ) { |
for ( n = p->nv, m = BDY(p), s = 0; m; m = NEXT(m) ) { |
| STOMQ(ITOS(C(m)),tq); t = (P)tq; |
i = ITOS(m->c); STOQ(i,q); t = (P)q; |
| for ( i = 0, d = m->dl, tvl = dvl; |
for ( i = 0, d = m->dl, tvl = dvl; |
| i < n; tvl = NEXT(tvl), i++ ) { |
i < n; tvl = NEXT(tvl), i++ ) { |
| MKV(tvl->v,r); STOQ(d->d[i],q); pwrmp(vl,mod,r,q,&u); |
MKV(tvl->v,r); STOQ(d->d[i],q); pwrp(vl,r,q,&u); |
| mulmp(vl,mod,t,u,&w); t = w; |
mulp(vl,t,u,&w); t = w; |
| } |
} |
| addmp(vl,mod,s,t,&u); s = u; |
addp(vl,s,t,&u); s = u; |
| } |
} |
| mptop(s,pr); |
*pr = s; |
| } |
} |
| } |
} |
| |
|
| void _addmd(vl,mod,p1,p2,pr) |
void _dp_mod(DP p,int mod,NODE subst,DP *rp) |
| VL vl; |
|
| int mod; |
|
| DP p1,p2,*pr; |
|
| { |
{ |
| |
MP m,mr,mr0; |
| |
P t,s; |
| |
NODE tn; |
| |
|
| |
if ( !p ) |
| |
*rp = 0; |
| |
else { |
| |
for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { |
| |
for ( tn = subst, s = m->c; tn; tn = NEXT(NEXT(tn)) ) { |
| |
substp(CO,s,BDY(tn),BDY(NEXT(tn)),&t); |
| |
s = t; |
| |
} |
| |
ptomp(mod,s,&t); |
| |
if ( t ) { |
| |
NEXTMP(mr0,mr); mr->c = STOI(CONT((MQ)t)); mr->dl = m->dl; |
| |
} |
| |
} |
| |
if ( mr0 ) { |
| |
NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; |
| |
} else |
| |
*rp = 0; |
| |
} |
| |
} |
| |
|
| |
void _dp_monic(DP p,int mod,DP *rp) |
| |
{ |
| |
MP m,mr,mr0; |
| |
int c,c1; |
| |
|
| |
if ( !p ) |
| |
*rp = 0; |
| |
else { |
| |
c = invm(ITOS(BDY(p)->c),mod); |
| |
for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { |
| |
c1 = dmar(ITOS(m->c),c,0,mod); |
| |
NEXTMP(mr0,mr); mr->c = STOI(c1); mr->dl = m->dl; |
| |
} |
| |
NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; |
| |
} |
| |
} |
| |
|
| |
void _printdp(DP d) |
| |
{ |
| |
int n,i; |
| |
MP m; |
| |
DL dl; |
| |
|
| |
if ( !d ) { |
| |
printf("0"); return; |
| |
} |
| |
for ( n = d->nv, m = BDY(d); m; m = NEXT(m) ) { |
| |
printf("%d*<<",ITOS(m->c)); |
| |
for ( i = 0, dl = m->dl; i < n-1; i++ ) |
| |
printf("%d,",dl->d[i]); |
| |
printf("%d",dl->d[i]); |
| |
printf(">>"); |
| |
if ( NEXT(m) ) |
| |
printf("+"); |
| |
} |
| |
} |
| |
|
| |
/* merge p1 and p2 into pr */ |
| |
|
| |
void addmd_destructive(int mod,DP p1,DP p2,DP *pr) |
| |
{ |
| int n; |
int n; |
| MP m1,m2,mr,mr0; |
MP m1,m2,mr,mr0,s; |
| int t; |
int t; |
| |
|
| if ( !p1 ) |
if ( !p1 ) |
|
|
| t = (ITOS(C(m1))+ITOS(C(m2))) - mod; |
t = (ITOS(C(m1))+ITOS(C(m2))) - mod; |
| if ( t < 0 ) |
if ( t < 0 ) |
| t += mod; |
t += mod; |
| |
s = m1; m1 = NEXT(m1); |
| if ( t ) { |
if ( t ) { |
| NEXTMP(mr0,mr); mr->dl = m1->dl; C(mr) = STOI(t); |
NEXTMP2(mr0,mr,s); C(mr) = STOI(t); |
| } |
} |
| m1 = NEXT(m1); m2 = NEXT(m2); break; |
s = m2; m2 = NEXT(m2); |
| |
break; |
| case 1: |
case 1: |
| NEXTMP(mr0,mr); mr->dl = m1->dl; C(mr) = C(m1); |
s = m1; m1 = NEXT(m1); NEXTMP2(mr0,mr,s); |
| m1 = NEXT(m1); break; |
break; |
| case -1: |
case -1: |
| NEXTMP(mr0,mr); mr->dl = m2->dl; C(mr) = C(m2); |
s = m2; m2 = NEXT(m2); NEXTMP2(mr0,mr,s); |
| m2 = NEXT(m2); break; |
break; |
| } |
} |
| if ( !mr0 ) |
if ( !mr0 ) |
| if ( m1 ) |
if ( m1 ) |
|
|
| } |
} |
| } |
} |
| |
|
| void _submd(vl,mod,p1,p2,pr) |
void mulmd_dup(int mod,DP p1,DP p2,DP *pr) |
| VL vl; |
|
| int mod; |
|
| DP p1,p2,*pr; |
|
| { |
{ |
| DP t; |
|
| |
|
| if ( !p2 ) |
|
| *pr = p1; |
|
| else { |
|
| _chsgnmd(mod,p2,&t); _addmd(vl,mod,p1,t,pr); |
|
| } |
|
| } |
|
| |
|
| void _chsgnmd(mod,p,pr) |
|
| int mod; |
|
| DP p,*pr; |
|
| { |
|
| MP m,mr,mr0; |
|
| |
|
| if ( !p ) |
|
| *pr = 0; |
|
| else { |
|
| for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { |
|
| NEXTMP(mr0,mr); C(mr) = STOI(mod - ITOS(C(m))); mr->dl = m->dl; |
|
| } |
|
| NEXT(mr) = 0; MKDP(NV(p),mr0,*pr); |
|
| if ( *pr ) |
|
| (*pr)->sugar = p->sugar; |
|
| } |
|
| } |
|
| |
|
| void _mulmd(vl,mod,p1,p2,pr) |
|
| VL vl; |
|
| int mod; |
|
| DP p1,p2,*pr; |
|
| { |
|
| if ( !do_weyl ) |
if ( !do_weyl ) |
| _comm_mulmd(vl,mod,p1,p2,pr); |
comm_mulmd_dup(mod,p1,p2,pr); |
| else |
else |
| _weyl_mulmd(vl,mod,p1,p2,pr); |
weyl_mulmd_dup(mod,p1,p2,pr); |
| } |
} |
| |
|
| void _comm_mulmd(vl,mod,p1,p2,pr) |
void comm_mulmd_dup(int mod,DP p1,DP p2,DP *pr) |
| VL vl; |
|
| int mod; |
|
| DP p1,p2,*pr; |
|
| { |
{ |
| MP m; |
MP m; |
| DP s,t,u; |
DP s,t,u; |
|
|
| for ( m = BDY(p2), i = 0; i < l; m = NEXT(m), i++ ) |
for ( m = BDY(p2), i = 0; i < l; m = NEXT(m), i++ ) |
| w[i] = m; |
w[i] = m; |
| for ( s = 0, i = l-1; i >= 0; i-- ) { |
for ( s = 0, i = l-1; i >= 0; i-- ) { |
| _mulmdm(vl,mod,p1,w[i],&t); _addmd(vl,mod,s,t,&u); s = u; |
mulmdm_dup(mod,p1,w[i],&t); addmd_destructive(mod,s,t,&u); s = u; |
| } |
} |
| bzero(w,l*sizeof(MP)); |
bzero(w,l*sizeof(MP)); |
| *pr = s; |
*pr = s; |
| } |
} |
| } |
} |
| |
|
| void _weyl_mulmd(vl,mod,p1,p2,pr) |
void weyl_mulmd_dup(int mod,DP p1,DP p2,DP *pr) |
| VL vl; |
|
| int mod; |
|
| DP p1,p2,*pr; |
|
| { |
{ |
| MP m; |
MP m; |
| DP s,t,u; |
DP s,t,u; |
| int i,l,l1; |
int i,l; |
| static MP *w; |
static MP *w; |
| static int wlen; |
static int wlen; |
| |
|
| if ( !p1 || !p2 ) |
if ( !p1 || !p2 ) |
| *pr = 0; |
*pr = 0; |
| else { |
else { |
| for ( m = BDY(p2), l = 0; m; m = NEXT(m), l++ ); |
for ( m = BDY(p1), l = 0; m; m = NEXT(m), l++ ); |
| if ( l > wlen ) { |
if ( l > wlen ) { |
| if ( w ) GC_free(w); |
if ( w ) GC_free(w); |
| w = (MP *)MALLOC(l*sizeof(MP)); |
w = (MP *)MALLOC(l*sizeof(MP)); |
| wlen = l; |
wlen = l; |
| } |
} |
| for ( m = BDY(p2), i = 0; i < l; m = NEXT(m), i++ ) |
for ( m = BDY(p1), i = 0; i < l; m = NEXT(m), i++ ) |
| w[i] = m; |
w[i] = m; |
| for ( s = 0, i = l-1; i >= 0; i-- ) { |
for ( s = 0, i = l-1; i >= 0; i-- ) { |
| _weyl_mulmdm(vl,mod,p1,w[i],&t); _addmd(vl,mod,s,t,&u); s = u; |
weyl_mulmdm_dup(mod,w[i],p2,&t); addmd_destructive(mod,s,t,&u); s = u; |
| } |
} |
| bzero(w,l*sizeof(MP)); |
bzero(w,l*sizeof(MP)); |
| *pr = s; |
*pr = s; |
| } |
} |
| } |
} |
| |
|
| void _mulmdm(vl,mod,p,m0,pr) |
void mulmdm_dup(int mod,DP p,MP m0,DP *pr) |
| VL vl; |
|
| int mod; |
|
| DP p; |
|
| MP m0; |
|
| DP *pr; |
|
| { |
{ |
| MP m,mr,mr0; |
MP m,mr,mr0; |
| DL d; |
DL d,dt,dm; |
| int c,n,r; |
int c,n,i; |
| |
int *pt,*p1,*p2; |
| |
|
| if ( !p ) |
if ( !p ) |
| *pr = 0; |
*pr = 0; |
|
|
| m; m = NEXT(m) ) { |
m; m = NEXT(m) ) { |
| NEXTMP(mr0,mr); |
NEXTMP(mr0,mr); |
| C(mr) = STOI(dmar(ITOS(C(m)),c,0,mod)); |
C(mr) = STOI(dmar(ITOS(C(m)),c,0,mod)); |
| adddl(n,m->dl,d,&mr->dl); |
NEWDL_NOINIT(dt,n); mr->dl = dt; |
| |
dm = m->dl; |
| |
dt->td = d->td + dm->td; |
| |
for ( i = 0, pt = dt->d, p1=d->d, p2 = dm->d; i < n; i++ ) |
| |
*pt++ = *p1++ + *p2++; |
| } |
} |
| NEXT(mr) = 0; MKDP(NV(p),mr0,*pr); |
NEXT(mr) = 0; MKDP(NV(p),mr0,*pr); |
| if ( *pr ) |
if ( *pr ) |
|
|
| } |
} |
| } |
} |
| |
|
| void _weyl_mulmdm(vl,mod,p,m0,pr) |
void weyl_mulmdm_dup(int mod,MP m0,DP p,DP *pr) |
| VL vl; |
|
| int mod; |
|
| DP p; |
|
| MP m0; |
|
| DP *pr; |
|
| { |
{ |
| DP r,t,t1; |
DP r,t,t1; |
| MP m; |
MP m; |
| int n,l,i; |
DL d0; |
| static MP *w; |
int n,n2,l,i,j,tlen; |
| |
static MP *w,*psum; |
| |
static struct cdlm *tab; |
| static int wlen; |
static int wlen; |
| |
static int rtlen; |
| |
|
| if ( !p ) |
if ( !p ) |
| *pr = 0; |
*pr = 0; |
|
|
| } |
} |
| for ( m = BDY(p), i = 0; i < l; m = NEXT(m), i++ ) |
for ( m = BDY(p), i = 0; i < l; m = NEXT(m), i++ ) |
| w[i] = m; |
w[i] = m; |
| for ( r = 0, i = l-1, n = NV(p); i >= 0; i-- ) { |
n = NV(p); n2 = n>>1; |
| _weyl_mulmmm(vl,mod,w[i],m0,n,&t); |
d0 = m0->dl; |
| _addmd(vl,mod,r,t,&t1); r = t1; |
|
| |
for ( i = 0, tlen = 1; i < n2; i++ ) |
| |
tlen *= d0->d[n2+i]+1; |
| |
if ( tlen > rtlen ) { |
| |
if ( tab ) GC_free(tab); |
| |
if ( psum ) GC_free(psum); |
| |
rtlen = tlen; |
| |
tab = (struct cdlm *)MALLOC(rtlen*sizeof(struct cdlm)); |
| |
psum = (MP *)MALLOC(rtlen*sizeof(MP)); |
| } |
} |
| bzero(w,l*sizeof(MP)); |
bzero(psum,tlen*sizeof(MP)); |
| |
for ( i = l-1; i >= 0; i-- ) { |
| |
bzero(tab,tlen*sizeof(struct cdlm)); |
| |
weyl_mulmmm_dup(mod,m0,w[i],n,tab,tlen); |
| |
for ( j = 0; j < tlen; j++ ) { |
| |
if ( tab[j].c ) { |
| |
NEWMP(m); m->dl = tab[j].d; |
| |
C(m) = STOI(tab[j].c); NEXT(m) = psum[j]; |
| |
psum[j] = m; |
| |
} |
| |
} |
| |
} |
| |
for ( j = tlen-1, r = 0; j >= 0; j-- ) |
| |
if ( psum[j] ) { |
| |
MKDP(n,psum[j],t); addmd_destructive(mod,r,t,&t1); r = t1; |
| |
} |
| if ( r ) |
if ( r ) |
| r->sugar = p->sugar + m0->dl->td; |
r->sugar = p->sugar + m0->dl->td; |
| *pr = r; |
*pr = r; |
|
|
| |
|
| /* m0 = x0^d0*x1^d1*... * dx0^d(n/2)*dx1^d(n/2+1)*... */ |
/* m0 = x0^d0*x1^d1*... * dx0^d(n/2)*dx1^d(n/2+1)*... */ |
| |
|
| void _weyl_mulmmm(vl,mod,m0,m1,n,pr) |
void weyl_mulmmm_dup(int mod,MP m0,MP m1,int n,struct cdlm *rtab,int rtablen) |
| VL vl; |
|
| int mod; |
|
| MP m0,m1; |
|
| int n; |
|
| DP *pr; |
|
| { |
{ |
| MP m,mr,mr0; |
int c,c0,c1; |
| DP r,t,t1; |
DL d,d0,d1,dt; |
| int c,c0,c1,cc; |
int i,j,a,b,k,l,n2,s,min,curlen; |
| DL d,d0,d1; |
struct cdlm *p; |
| int i,j,a,b,k,l,n2,s,min,h; |
static int *ctab; |
| static int *tab; |
static struct cdlm *tab; |
| static int tablen; |
static int tablen; |
| |
static struct cdlm *tmptab; |
| |
static int tmptablen; |
| |
|
| if ( !m0 || !m1 ) |
if ( !m0 || !m1 ) { |
| *pr = 0; |
rtab[0].c = 0; |
| else { |
rtab[0].d = 0; |
| c0 = ITOS(C(m0)); c1 = ITOS(C(m1)); |
return; |
| c = dmar(c0,c1,0,mod); |
} |
| d0 = m0->dl; d1 = m1->dl; |
c0 = ITOS(C(m0)); c1 = ITOS(C(m1)); |
| n2 = n>>1; |
c = dmar(c0,c1,0,mod); |
| |
d0 = m0->dl; d1 = m1->dl; |
| |
n2 = n>>1; |
| |
curlen = 1; |
| |
|
| NEWDL(d,n); |
NEWDL(d,n); |
| |
if ( n & 1 ) |
| |
/* offset of h-degree */ |
| |
d->td = d->d[n-1] = d0->d[n-1]+d1->d[n-1]; |
| |
else |
| |
d->td = 0; |
| |
rtab[0].c = c; |
| |
rtab[0].d = d; |
| |
|
| |
if ( rtablen > tmptablen ) { |
| |
if ( tmptab ) GC_free(tmptab); |
| |
tmptab = (struct cdlm *)MALLOC(rtablen*sizeof(struct cdlm)); |
| |
tmptablen = rtablen; |
| |
} |
| |
|
| |
for ( i = 0; i < n2; i++ ) { |
| |
a = d0->d[i]; b = d1->d[n2+i]; |
| |
k = d0->d[n2+i]; l = d1->d[i]; |
| |
|
| |
/* degree of xi^a*(Di^k*xi^l)*Di^b */ |
| |
a += l; |
| |
b += k; |
| |
s = MUL_WEIGHT(a,i)+MUL_WEIGHT(b,n2+i); |
| |
|
| |
if ( !k || !l ) { |
| |
for ( j = 0, p = rtab; j < curlen; j++, p++ ) { |
| |
if ( p->c ) { |
| |
dt = p->d; |
| |
dt->d[i] = a; |
| |
dt->d[n2+i] = b; |
| |
dt->td += s; |
| |
} |
| |
} |
| |
curlen *= k+1; |
| |
continue; |
| |
} |
| |
if ( k+1 > tablen ) { |
| |
if ( tab ) GC_free(tab); |
| |
if ( ctab ) GC_free(ctab); |
| |
tablen = k+1; |
| |
tab = (struct cdlm *)MALLOC(tablen*sizeof(struct cdlm)); |
| |
ctab = (int *)MALLOC(tablen*sizeof(int)); |
| |
} |
| |
/* compute xi^a*(Di^k*xi^l)*Di^b */ |
| |
min = MIN(k,l); |
| |
mkwcm(k,l,mod,ctab); |
| |
bzero(tab,(k+1)*sizeof(struct cdlm)); |
| |
/* n&1 != 0 => homogenized computation; dx-xd=h^2 */ |
| if ( n & 1 ) |
if ( n & 1 ) |
| /* offset of h-degree */ |
for ( j = 0; j <= min; j++ ) { |
| d->td = d->d[n-1] = d0->d[n-1]+d1->d[n-1]; |
NEWDL(d,n); |
| |
d->d[i] = a-j; d->d[n2+i] = b-j; |
| |
d->td = s; |
| |
d->d[n-1] = s-(MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i)); |
| |
tab[j].d = d; |
| |
tab[j].c = ctab[j]; |
| |
} |
| else |
else |
| d->td = 0; |
for ( j = 0; j <= min; j++ ) { |
| NEWMP(mr); mr->c = STOI(c); mr->dl = d; NEXT(mr) = 0; |
NEWDL(d,n); |
| MKDP(n,mr,r); r->sugar = d->td; |
d->d[i] = a-j; d->d[n2+i] = b-j; |
| |
d->td = MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i); /* XXX */ |
| |
tab[j].d = d; |
| |
tab[j].c = ctab[j]; |
| |
} |
| |
comm_mulmd_tab_destructive(mod,n,rtab,curlen,tab,k+1); |
| |
curlen *= k+1; |
| |
} |
| |
} |
| |
|
| /* homogenized computation; dx-xd=h^2 */ |
void comm_mulmd_tab_destructive(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1) |
| for ( i = 0; i < n2; i++ ) { |
{ |
| a = d0->d[i]; b = d1->d[n2+i]; |
int i,j; |
| k = d0->d[n2+i]; l = d1->d[i]; |
struct cdlm *p; |
| /* degree of xi^a*(Di^k*xi^l)*Di^b */ |
int c; |
| s = a+k+l+b; |
DL d; |
| /* compute xi^a*(Di^k*xi^l)*Di^b */ |
|
| min = MIN(k,l); |
|
| |
|
| if ( min+1 > tablen ) { |
for ( j = 1, p = t+n; j < n1; j++ ) { |
| if ( tab ) GC_free(tab); |
c = t1[j].c; |
| tab = (int *)MALLOC((min+1)*sizeof(int)); |
d = t1[j].d; |
| tablen = min+1; |
if ( !c ) |
| |
break; |
| |
for ( i = 0; i < n; i++, p++ ) { |
| |
if ( t[i].c ) { |
| |
p->c = dmar(t[i].c,c,0,mod); |
| |
adddl_dup(nv,t[i].d,d,&p->d); |
| } |
} |
| mkwcm(k,l,mod,tab); |
} |
| if ( n & 1 ) |
} |
| for ( mr0 = 0, j = 0; j <= min; j++ ) { |
c = t1[0].c; |
| NEXTMP(mr0,mr); NEWDL(d,n); |
d = t1[0].d; |
| d->d[i] = l-j+a; d->d[n2+i] = k-j+b; |
for ( i = 0, p = t; i < n; i++, p++ ) |
| d->td = s; |
if ( t[i].c ) { |
| d->d[n-1] = s-(d->d[i]+d->d[n2+i]); |
p->c = dmar(t[i].c,c,0,mod); |
| mr->c = STOI(tab[j]); mr->dl = d; |
/* t[i].d += d */ |
| |
adddl_destructive(nv,t[i].d,d); |
| |
} |
| |
} |
| |
|
| |
void adddl_dup(int n,DL d1,DL d2,DL *dr) |
| |
{ |
| |
DL dt; |
| |
int i; |
| |
|
| |
NEWDL(dt,n); |
| |
*dr = dt; |
| |
dt->td = d1->td + d2->td; |
| |
for ( i = 0; i < n; i++ ) |
| |
dt->d[i] = d1->d[i]+d2->d[i]; |
| |
} |
| |
|
| |
/* ------------------------------------------------------ */ |
| |
|
| |
#if defined(__GNUC__) |
| |
#define INLINE inline |
| |
#elif defined(VISUAL) |
| |
#define INLINE __inline |
| |
#else |
| |
#define INLINE |
| |
#endif |
| |
|
| |
typedef struct oPGeoBucket { |
| |
int m; |
| |
struct oND *body[32]; |
| |
} *PGeoBucket; |
| |
|
| |
typedef struct oND { |
| |
struct oNM *body; |
| |
int nv; |
| |
int sugar; |
| |
} *ND; |
| |
|
| |
typedef struct oNM { |
| |
struct oNM *next; |
| |
int td; |
| |
int c; |
| |
unsigned int dl[1]; |
| |
} *NM; |
| |
|
| |
typedef struct oND_pairs { |
| |
struct oND_pairs *next; |
| |
int i1,i2; |
| |
int td,sugar; |
| |
unsigned int lcm[1]; |
| |
} *ND_pairs; |
| |
|
| |
static ND *nps; |
| |
int nd_mod,nd_nvar; |
| |
int is_rlex; |
| |
int nd_epw,nd_bpe,nd_wpd; |
| |
unsigned int nd_mask[32]; |
| |
unsigned int nd_mask0; |
| |
NM _nm_free_list; |
| |
ND _nd_free_list; |
| |
ND_pairs _ndp_free_list; |
| |
|
| |
extern int Top,Reverse; |
| |
int nd_psn,nd_pslen; |
| |
|
| |
void GC_gcollect(); |
| |
NODE append_one(NODE,int); |
| |
|
| |
#define HTD(d) ((d)->body->td) |
| |
#define HDL(d) ((d)->body->dl) |
| |
#define HC(d) ((d)->body->c) |
| |
|
| |
#define NEWND_pairs(m) if(!_ndp_free_list)_NDP_alloc(); (m)=_ndp_free_list; _ndp_free_list = NEXT(_ndp_free_list) |
| |
#define NEWNM(m) if(!_nm_free_list)_NM_alloc(); (m)=_nm_free_list; _nm_free_list = NEXT(_nm_free_list) |
| |
#define MKND(n,m,d) if(!_nd_free_list)_ND_alloc(); (d)=_nd_free_list; _nd_free_list = (ND)BDY(_nd_free_list); (d)->nv=(n); BDY(d)=(m) |
| |
|
| |
#define NEXTNM(r,c) \ |
| |
if(!(r)){NEWNM(r);(c)=(r);}else{NEWNM(NEXT(c));(c)=NEXT(c);} |
| |
#define NEXTNM2(r,c,s) \ |
| |
if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);} |
| |
#define FREENM(m) NEXT(m)=_nm_free_list; _nm_free_list=(m) |
| |
#define FREEND(m) BDY(m)=(NM)_nd_free_list; _nd_free_list=(m) |
| |
|
| |
#define NEXTND_pairs(r,c) \ |
| |
if(!(r)){NEWND_pairs(r);(c)=(r);}else{NEWND_pairs(NEXT(c));(c)=NEXT(c);} |
| |
|
| |
ND_pairs crit_B( ND_pairs d, int s ); |
| |
void nd_gr(LIST f,LIST v,int m,struct order_spec *ord,LIST *rp); |
| |
NODE nd_setup(NODE f); |
| |
int nd_newps(ND a); |
| |
ND_pairs nd_minp( ND_pairs d, ND_pairs *prest ); |
| |
NODE update_base(NODE nd,int ndp); |
| |
static ND_pairs equivalent_pairs( ND_pairs d1, ND_pairs *prest ); |
| |
int crit_2( int dp1, int dp2 ); |
| |
ND_pairs crit_F( ND_pairs d1 ); |
| |
ND_pairs crit_M( ND_pairs d1 ); |
| |
ND_pairs nd_newpairs( NODE g, int t ); |
| |
ND_pairs update_pairs( ND_pairs d, NODE /* of index */ g, int t); |
| |
NODE nd_gb(NODE f); |
| |
void nd_free_private_storage(); |
| |
void _NM_alloc(); |
| |
void _ND_alloc(); |
| |
int ndl_td(unsigned int *d); |
| |
ND nd_add(ND p1,ND p2); |
| |
ND nd_mul_nm(ND p,NM m0); |
| |
ND nd_mul_term(ND p,int td,unsigned int *d); |
| |
ND nd_sp(ND_pairs p); |
| |
ND nd_find_reducer(ND g); |
| |
ND nd_nf(ND g,int full); |
| |
void ndl_print(unsigned int *dl); |
| |
void nd_print(ND p); |
| |
void ndp_print(ND_pairs d); |
| |
int nd_length(ND p); |
| |
void nd_monic(ND p); |
| |
void nd_mul_c(ND p,int mul); |
| |
|
| |
void nd_free_private_storage() |
| |
{ |
| |
_nd_free_list = 0; |
| |
_nm_free_list = 0; |
| |
GC_gcollect(); |
| |
} |
| |
|
| |
void _NM_alloc() |
| |
{ |
| |
NM p; |
| |
int i; |
| |
|
| |
for ( i = 0; i < 10240; i++ ) { |
| |
p = (NM)GC_malloc(sizeof(struct oNM)+(nd_wpd-1)*sizeof(unsigned int)); |
| |
p->next = _nm_free_list; _nm_free_list = p; |
| |
} |
| |
} |
| |
|
| |
void _ND_alloc() |
| |
{ |
| |
ND p; |
| |
int i; |
| |
|
| |
for ( i = 0; i < 1024; i++ ) { |
| |
p = (ND)GC_malloc(sizeof(struct oND)); |
| |
p->body = (NM)_nd_free_list; _nd_free_list = p; |
| |
} |
| |
} |
| |
|
| |
void _NDP_alloc() |
| |
{ |
| |
ND_pairs p; |
| |
int i; |
| |
|
| |
for ( i = 0; i < 10240; i++ ) { |
| |
p = (ND_pairs)GC_malloc(sizeof(struct oND_pairs) |
| |
+(nd_wpd-1)*sizeof(unsigned int)); |
| |
p->next = _ndp_free_list; _ndp_free_list = p; |
| |
} |
| |
} |
| |
|
| |
INLINE nd_length(ND p) |
| |
{ |
| |
NM m; |
| |
int i; |
| |
|
| |
if ( !p ) |
| |
return 0; |
| |
else { |
| |
for ( i = 0, m = BDY(p); m; m = NEXT(m), i++ ); |
| |
return i; |
| |
} |
| |
} |
| |
|
| |
INLINE int ndl_reducible(unsigned int *d1,unsigned int *d2) |
| |
{ |
| |
unsigned int u1,u2; |
| |
int i,j; |
| |
|
| |
switch ( nd_bpe ) { |
| |
case 4: |
| |
for ( i = 0; i < nd_wpd; i++ ) { |
| |
u1 = d1[i]; u2 = d2[i]; |
| |
if ( (u1&0xf0000000) < (u2&0xf0000000) ) return 0; |
| |
if ( (u1&0xf000000) < (u2&0xf000000) ) return 0; |
| |
if ( (u1&0xf00000) < (u2&0xf00000) ) return 0; |
| |
if ( (u1&0xf0000) < (u2&0xf0000) ) return 0; |
| |
if ( (u1&0xf000) < (u2&0xf000) ) return 0; |
| |
if ( (u1&0xf00) < (u2&0xf00) ) return 0; |
| |
if ( (u1&0xf0) < (u2&0xf0) ) return 0; |
| |
if ( (u1&0xf) < (u2&0xf) ) return 0; |
| |
} |
| |
return 1; |
| |
break; |
| |
case 6: |
| |
for ( i = 0; i < nd_wpd; i++ ) { |
| |
u1 = d1[i]; u2 = d2[i]; |
| |
if ( (u1&0x3f000000) < (u2&0x3f000000) ) return 0; |
| |
if ( (u1&0xfc0000) < (u2&0xfc0000) ) return 0; |
| |
if ( (u1&0x3f000) < (u2&0x3f000) ) return 0; |
| |
if ( (u1&0xfc0) < (u2&0xfc0) ) return 0; |
| |
if ( (u1&0x3f) < (u2&0x3f) ) return 0; |
| |
} |
| |
return 1; |
| |
break; |
| |
case 8: |
| |
for ( i = 0; i < nd_wpd; i++ ) { |
| |
u1 = d1[i]; u2 = d2[i]; |
| |
if ( (u1&0xff000000) < (u2&0xff000000) ) return 0; |
| |
if ( (u1&0xff0000) < (u2&0xff0000) ) return 0; |
| |
if ( (u1&0xff00) < (u2&0xff00) ) return 0; |
| |
if ( (u1&0xff) < (u2&0xff) ) return 0; |
| |
} |
| |
return 1; |
| |
break; |
| |
case 16: |
| |
for ( i = 0; i < nd_wpd; i++ ) { |
| |
u1 = d1[i]; u2 = d2[i]; |
| |
if ( (u1&0xffff0000) < (u2&0xffff0000) ) return 0; |
| |
if ( (u1&0xffff) < (u2&0xffff) ) return 0; |
| |
} |
| |
return 1; |
| |
break; |
| |
case 32: |
| |
for ( i = 0; i < nd_wpd; i++ ) |
| |
if ( d1[i] < d2[i] ) return 0; |
| |
return 1; |
| |
break; |
| |
default: |
| |
for ( i = 0; i < nd_wpd; i++ ) { |
| |
u1 = d1[i]; u2 = d2[i]; |
| |
for ( j = 0; j < nd_epw; j++ ) |
| |
if ( (u1&nd_mask[j]) < (u2&nd_mask[j]) ) return 0; |
| |
} |
| |
return 1; |
| |
} |
| |
} |
| |
|
| |
void ndl_lcm(unsigned int *d1,unsigned *d2,unsigned int *d) |
| |
{ |
| |
unsigned int t1,t2,u,u1,u2; |
| |
int i,j; |
| |
|
| |
switch ( nd_bpe ) { |
| |
case 4: |
| |
for ( i = 0; i < nd_wpd; i++ ) { |
| |
u1 = d1[i]; u2 = d2[i]; |
| |
t1 = (u1&0xf0000000); t2 = (u2&0xf0000000); u = t1>t2?t1:t2; |
| |
t1 = (u1&0xf000000); t2 = (u2&0xf000000); u |= t1>t2?t1:t2; |
| |
t1 = (u1&0xf00000); t2 = (u2&0xf00000); u |= t1>t2?t1:t2; |
| |
t1 = (u1&0xf0000); t2 = (u2&0xf0000); u |= t1>t2?t1:t2; |
| |
t1 = (u1&0xf000); t2 = (u2&0xf000); u |= t1>t2?t1:t2; |
| |
t1 = (u1&0xf00); t2 = (u2&0xf00); u |= t1>t2?t1:t2; |
| |
t1 = (u1&0xf0); t2 = (u2&0xf0); u |= t1>t2?t1:t2; |
| |
t1 = (u1&0xf); t2 = (u2&0xf); u |= t1>t2?t1:t2; |
| |
d[i] = u; |
| |
} |
| |
break; |
| |
case 6: |
| |
for ( i = 0; i < nd_wpd; i++ ) { |
| |
u1 = d1[i]; u2 = d2[i]; |
| |
t1 = (u1&0x3f000000); t2 = (u2&0x3f000000); u = t1>t2?t1:t2; |
| |
t1 = (u1&0xfc0000); t2 = (u2&0xfc0000); u |= t1>t2?t1:t2; |
| |
t1 = (u1&0x3f000); t2 = (u2&0x3f000); u |= t1>t2?t1:t2; |
| |
t1 = (u1&0xfc0); t2 = (u2&0xfc0); u |= t1>t2?t1:t2; |
| |
t1 = (u1&0x3f); t2 = (u2&0x3f); u |= t1>t2?t1:t2; |
| |
d[i] = u; |
| |
} |
| |
break; |
| |
case 8: |
| |
for ( i = 0; i < nd_wpd; i++ ) { |
| |
u1 = d1[i]; u2 = d2[i]; |
| |
t1 = (u1&0xff000000); t2 = (u2&0xff000000); u = t1>t2?t1:t2; |
| |
t1 = (u1&0xff0000); t2 = (u2&0xff0000); u |= t1>t2?t1:t2; |
| |
t1 = (u1&0xff00); t2 = (u2&0xff00); u |= t1>t2?t1:t2; |
| |
t1 = (u1&0xff); t2 = (u2&0xff); u |= t1>t2?t1:t2; |
| |
d[i] = u; |
| |
} |
| |
break; |
| |
case 16: |
| |
for ( i = 0; i < nd_wpd; i++ ) { |
| |
u1 = d1[i]; u2 = d2[i]; |
| |
t1 = (u1&0xffff0000); t2 = (u2&0xffff0000); u = t1>t2?t1:t2; |
| |
t1 = (u1&0xffff); t2 = (u2&0xffff); u |= t1>t2?t1:t2; |
| |
d[i] = u; |
| |
} |
| |
break; |
| |
case 32: |
| |
for ( i = 0; i < nd_wpd; i++ ) { |
| |
u1 = d1[i]; u2 = d2[i]; |
| |
d[i] = u1>u2?u1:u2; |
| |
} |
| |
break; |
| |
default: |
| |
for ( i = 0; i < nd_wpd; i++ ) { |
| |
u1 = d1[i]; u2 = d2[i]; |
| |
for ( j = 0, u = 0; j < nd_epw; j++ ) { |
| |
t1 = (u1&nd_mask[j]); t2 = (u2&nd_mask[j]); u |= t1>t2?t1:t2; |
| } |
} |
| else |
d[i] = u; |
| for ( mr0 = 0, s = 0, j = 0; j <= min; j++ ) { |
} |
| NEXTMP(mr0,mr); NEWDL(d,n); |
break; |
| d->d[i] = l-j+a; d->d[n2+i] = k-j+b; |
} |
| d->td = d->d[i]+d->d[n2+i]; /* XXX */ |
} |
| s = MAX(s,d->td); /* XXX */ |
|
| mr->c = STOI(tab[j]); mr->dl = d; |
int ndl_td(unsigned int *d) |
| |
{ |
| |
unsigned int t,u; |
| |
int i,j; |
| |
|
| |
for ( t = 0, i = 0; i < nd_wpd; i++ ) { |
| |
u = d[i]; |
| |
for ( j = 0; j < nd_epw; j++, u>>=nd_bpe ) |
| |
t += (u&nd_mask0); |
| |
} |
| |
return t; |
| |
} |
| |
|
| |
INLINE int ndl_compare(unsigned int *d1,unsigned int *d2) |
| |
{ |
| |
int i; |
| |
|
| |
for ( i = 0; i < nd_wpd; i++, d1++, d2++ ) |
| |
if ( *d1 > *d2 ) |
| |
return is_rlex ? -1 : 1; |
| |
else if ( *d1 < *d2 ) |
| |
return is_rlex ? 1 : -1; |
| |
return 0; |
| |
} |
| |
|
| |
INLINE int ndl_equal(unsigned int *d1,unsigned int *d2) |
| |
{ |
| |
int i; |
| |
|
| |
for ( i = 0; i < nd_wpd; i++ ) |
| |
if ( d1[i] != d2[i] ) |
| |
return 0; |
| |
return 1; |
| |
} |
| |
|
| |
INLINE void ndl_add(unsigned int *d1,unsigned int *d2,unsigned int *d) |
| |
{ |
| |
int i; |
| |
|
| |
for ( i = 0; i < nd_wpd; i++ ) |
| |
d[i] = d1[i]+d2[i]; |
| |
} |
| |
|
| |
void ndl_sub(unsigned int *d1,unsigned int *d2,unsigned int *d) |
| |
{ |
| |
int i; |
| |
|
| |
for ( i = 0; i < nd_wpd; i++ ) |
| |
d[i] = d1[i]-d2[i]; |
| |
} |
| |
|
| |
int ndl_disjoint(unsigned int *d1,unsigned int *d2) |
| |
{ |
| |
unsigned int t1,t2,u,u1,u2; |
| |
int i,j; |
| |
|
| |
switch ( nd_bpe ) { |
| |
case 4: |
| |
for ( i = 0; i < nd_wpd; i++ ) { |
| |
u1 = d1[i]; u2 = d2[i]; |
| |
t1 = u1&0xf0000000; t2 = u2&0xf0000000; if ( t1&&t2 ) return 0; |
| |
t1 = u1&0xf000000; t2 = u2&0xf000000; if ( t1&&t2 ) return 0; |
| |
t1 = u1&0xf00000; t2 = u2&0xf00000; if ( t1&&t2 ) return 0; |
| |
t1 = u1&0xf0000; t2 = u2&0xf0000; if ( t1&&t2 ) return 0; |
| |
t1 = u1&0xf000; t2 = u2&0xf000; if ( t1&&t2 ) return 0; |
| |
t1 = u1&0xf00; t2 = u2&0xf00; if ( t1&&t2 ) return 0; |
| |
t1 = u1&0xf0; t2 = u2&0xf0; if ( t1&&t2 ) return 0; |
| |
t1 = u1&0xf; t2 = u2&0xf; if ( t1&&t2 ) return 0; |
| |
} |
| |
return 1; |
| |
break; |
| |
case 6: |
| |
for ( i = 0; i < nd_wpd; i++ ) { |
| |
u1 = d1[i]; u2 = d2[i]; |
| |
t1 = u1&0x3f000000; t2 = u2&0x3f000000; if ( t1&&t2 ) return 0; |
| |
t1 = u1&0xfc0000; t2 = u2&0xfc0000; if ( t1&&t2 ) return 0; |
| |
t1 = u1&0x3f000; t2 = u2&0x3f000; if ( t1&&t2 ) return 0; |
| |
t1 = u1&0xfc0; t2 = u2&0xfc0; if ( t1&&t2 ) return 0; |
| |
t1 = u1&0x3f; t2 = u2&0x3f; if ( t1&&t2 ) return 0; |
| |
} |
| |
return 1; |
| |
break; |
| |
case 8: |
| |
for ( i = 0; i < nd_wpd; i++ ) { |
| |
u1 = d1[i]; u2 = d2[i]; |
| |
t1 = u1&0xff000000; t2 = u2&0xff000000; if ( t1&&t2 ) return 0; |
| |
t1 = u1&0xff0000; t2 = u2&0xff0000; if ( t1&&t2 ) return 0; |
| |
t1 = u1&0xff00; t2 = u2&0xff00; if ( t1&&t2 ) return 0; |
| |
t1 = u1&0xff; t2 = u2&0xff; if ( t1&&t2 ) return 0; |
| |
} |
| |
return 1; |
| |
break; |
| |
case 16: |
| |
for ( i = 0; i < nd_wpd; i++ ) { |
| |
u1 = d1[i]; u2 = d2[i]; |
| |
t1 = u1&0xffff0000; t2 = u2&0xffff0000; if ( t1&&t2 ) return 0; |
| |
t1 = u1&0xffff; t2 = u2&0xffff; if ( t1&&t2 ) return 0; |
| |
} |
| |
return 1; |
| |
break; |
| |
case 32: |
| |
for ( i = 0; i < nd_wpd; i++ ) |
| |
if ( d1[i] && d2[i] ) return 0; |
| |
return 1; |
| |
break; |
| |
default: |
| |
for ( i = 0; i < nd_wpd; i++ ) { |
| |
u1 = d1[i]; u2 = d2[i]; |
| |
for ( j = 0; j < nd_epw; j++ ) { |
| |
if ( (u1&nd_mask0) && (u2&nd_mask0) ) return 0; |
| |
u1 >>= nd_bpe; u2 >>= nd_bpe; |
| } |
} |
| bzero(tab,(min+1)*sizeof(int)); |
} |
| if ( mr0 ) |
return 1; |
| NEXT(mr) = 0; |
break; |
| MKDP(n,mr0,t); |
} |
| if ( t ) |
} |
| t->sugar = s; |
|
| _comm_mulmd(vl,mod,r,t,&t1); r = t1; |
ND nd_reduce(ND p1,ND p2) |
| |
{ |
| |
int c,c1,c2,t,td,td2,mul; |
| |
NM m2,prev,head,cur,new; |
| |
unsigned int *d; |
| |
|
| |
if ( !p1 ) |
| |
return 0; |
| |
else { |
| |
c2 = invm(HC(p2),nd_mod); |
| |
c1 = nd_mod-HC(p1); |
| |
DMAR(c1,c2,0,nd_mod,mul); |
| |
td = HTD(p1)-HTD(p2); |
| |
d = (unsigned int *)ALLOCA(nd_wpd*sizeof(unsigned int)); |
| |
ndl_sub(HDL(p1),HDL(p2),d); |
| |
prev = 0; head = cur = BDY(p1); |
| |
NEWNM(new); |
| |
for ( m2 = BDY(p2); m2; ) { |
| |
td2 = new->td = m2->td+td; |
| |
ndl_add(m2->dl,d,new->dl); |
| |
if ( !cur ) { |
| |
c1 = C(m2); |
| |
DMAR(c1,mul,0,nd_mod,c2); |
| |
C(new) = c2; |
| |
if ( !prev ) { |
| |
prev = new; |
| |
NEXT(prev) = 0; |
| |
head = prev; |
| |
} else { |
| |
NEXT(prev) = new; |
| |
NEXT(new) = 0; |
| |
prev = new; |
| |
} |
| |
m2 = NEXT(m2); |
| |
NEWNM(new); |
| |
continue; |
| |
} |
| |
if ( cur->td > td2 ) |
| |
c = 1; |
| |
else if ( cur->td < td2 ) |
| |
c = -1; |
| |
else |
| |
c = ndl_compare(cur->dl,new->dl); |
| |
switch ( c ) { |
| |
case 0: |
| |
c2 = C(m2); |
| |
c1 = C(cur); |
| |
DMAR(c2,mul,c1,nd_mod,t); |
| |
if ( t ) |
| |
C(cur) = t; |
| |
else if ( !prev ) { |
| |
head = NEXT(cur); |
| |
FREENM(cur); |
| |
cur = head; |
| |
} else { |
| |
NEXT(prev) = NEXT(cur); |
| |
FREENM(cur); |
| |
cur = NEXT(prev); |
| |
} |
| |
m2 = NEXT(m2); |
| |
break; |
| |
case 1: |
| |
prev = cur; |
| |
cur = NEXT(cur); |
| |
break; |
| |
case -1: |
| |
if ( !prev ) { |
| |
/* cur = head */ |
| |
prev = new; |
| |
c2 = C(m2); |
| |
DMAR(c2,mul,0,nd_mod,c1); |
| |
C(prev) = c1; |
| |
NEXT(prev) = head; |
| |
head = prev; |
| |
} else { |
| |
c2 = C(m2); |
| |
DMAR(c2,mul,0,nd_mod,c1); |
| |
C(new) = c1; |
| |
NEXT(prev) = new; |
| |
NEXT(new) = cur; |
| |
prev = new; |
| |
} |
| |
NEWNM(new); |
| |
m2 = NEXT(m2); |
| |
break; |
| |
} |
| } |
} |
| *pr = r; |
FREENM(new); |
| |
if ( head ) { |
| |
BDY(p1) = head; |
| |
p1->sugar = MAX(p1->sugar,p2->sugar+td); |
| |
return p1; |
| |
} else { |
| |
FREEND(p1); |
| |
return 0; |
| |
} |
| |
|
| } |
} |
| } |
} |
| |
|
| void _dtop_mod(vl,dvl,p,pr) |
ND nd_sp(ND_pairs p) |
| VL vl,dvl; |
|
| DP p; |
|
| P *pr; |
|
| { |
{ |
| int n,i; |
NM m; |
| DL d; |
ND p1,p2,t1,t2; |
| MP m; |
unsigned int *lcm; |
| P r,s,t,u,w; |
int td; |
| Q q; |
|
| VL tvl; |
|
| |
|
| if ( !p ) |
p1 = nps[p->i1]; |
| *pr = 0; |
p2 = nps[p->i2]; |
| |
lcm = p->lcm; |
| |
td = p->td; |
| |
NEWNM(m); |
| |
C(m) = HC(p2); m->td = td-HTD(p1); ndl_sub(lcm,HDL(p1),m->dl); NEXT(m) = 0; |
| |
t1 = nd_mul_nm(p1,m); |
| |
C(m) = nd_mod-HC(p1); m->td = td-HTD(p2); ndl_sub(lcm,HDL(p2),m->dl); |
| |
t2 = nd_mul_nm(p2,m); |
| |
FREENM(m); |
| |
return nd_add(t1,t2); |
| |
} |
| |
|
| |
ND nd_find_reducer(ND g) |
| |
{ |
| |
NM m; |
| |
ND r,p; |
| |
int i,c1,c2,c; |
| |
|
| |
for ( i = 0; i < nd_psn; i++ ) { |
| |
p = nps[i]; |
| |
if ( HTD(g) >= HTD(p) && ndl_reducible(HDL(g),HDL(p)) ) { |
| |
#if 1 |
| |
NEWNM(m); |
| |
c1 = invm(HC(p),nd_mod); |
| |
c2 = nd_mod-HC(g); |
| |
DMAR(c1,c2,0,nd_mod,c); |
| |
C(m) = c; |
| |
m->td = HTD(g)-HTD(p); |
| |
ndl_sub(HDL(g),HDL(p),m->dl); |
| |
NEXT(m) = 0; |
| |
r = nd_mul_nm(p,m); |
| |
FREENM(m); |
| |
r->sugar = m->td + p->sugar; |
| |
return r; |
| |
#else |
| |
return p; |
| |
#endif |
| |
} |
| |
} |
| |
return 0; |
| |
} |
| |
|
| |
ND nd_find_monic_reducer(ND g) |
| |
{ |
| |
int *d; |
| |
ND p,r; |
| |
int i; |
| |
|
| |
for ( i = 0; i < nd_psn; i++ ) { |
| |
p = nps[i]; |
| |
if ( HTD(g) >= HTD(p) && ndl_reducible(HDL(g),HDL(p)) ) { |
| |
d = (int *)ALLOCA(nd_wpd*sizeof(int)); |
| |
ndl_sub(HDL(g),HDL(p),d); |
| |
r = nd_mul_term(p,HTD(g)-HTD(p),d); |
| |
return r; |
| |
} |
| |
} |
| |
return 0; |
| |
} |
| |
|
| |
ND nd_add(ND p1,ND p2) |
| |
{ |
| |
int n,c; |
| |
int t; |
| |
ND r; |
| |
NM m1,m2,mr0,mr,s; |
| |
|
| |
if ( !p1 ) |
| |
return p2; |
| |
else if ( !p2 ) |
| |
return p1; |
| else { |
else { |
| for ( n = p->nv, m = BDY(p), s = 0; m; m = NEXT(m) ) { |
for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) { |
| i = ITOS(m->c); STOQ(i,q); t = (P)q; |
if ( m1->td > m2->td ) |
| for ( i = 0, d = m->dl, tvl = dvl; |
c = 1; |
| i < n; tvl = NEXT(tvl), i++ ) { |
else if ( m1->td < m2->td ) |
| MKV(tvl->v,r); STOQ(d->d[i],q); pwrp(vl,r,q,&u); |
c = -1; |
| mulp(vl,t,u,&w); t = w; |
else |
| |
c = ndl_compare(m1->dl,m2->dl); |
| |
switch ( c ) { |
| |
case 0: |
| |
t = ((C(m1))+(C(m2))) - nd_mod; |
| |
if ( t < 0 ) |
| |
t += nd_mod; |
| |
s = m1; m1 = NEXT(m1); |
| |
if ( t ) { |
| |
NEXTNM2(mr0,mr,s); C(mr) = (t); |
| |
} else { |
| |
FREENM(s); |
| |
} |
| |
s = m2; m2 = NEXT(m2); FREENM(s); |
| |
break; |
| |
case 1: |
| |
s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s); |
| |
break; |
| |
case -1: |
| |
s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s); |
| |
break; |
| } |
} |
| addp(vl,s,t,&u); s = u; |
|
| } |
} |
| *pr = s; |
if ( !mr0 ) |
| |
if ( m1 ) |
| |
mr0 = m1; |
| |
else if ( m2 ) |
| |
mr0 = m2; |
| |
else |
| |
return 0; |
| |
else if ( m1 ) |
| |
NEXT(mr) = m1; |
| |
else if ( m2 ) |
| |
NEXT(mr) = m2; |
| |
else |
| |
NEXT(mr) = 0; |
| |
BDY(p1) = mr0; |
| |
p1->sugar = MAX(p1->sugar,p2->sugar); |
| |
FREEND(p2); |
| |
return p1; |
| } |
} |
| } |
} |
| |
|
| void _dp_red_mod(p1,p2,mod,rp) |
ND nd_mul_nm(ND p,NM m0) |
| DP p1,p2; |
|
| int mod; |
|
| DP *rp; |
|
| { |
{ |
| int i,n; |
NM m,mr,mr0; |
| DL d1,d2,d; |
unsigned int *d,*dt,*dm; |
| MP m; |
int c,n,td,i,c1,c2; |
| DP t,s; |
int *pt,*p1,*p2; |
| int c,c1; |
ND r; |
| |
|
| n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; |
if ( !p ) |
| NEWDL(d,n); d->td = d1->td - d2->td; |
return 0; |
| for ( i = 0; i < n; i++ ) |
else { |
| d->d[i] = d1->d[i]-d2->d[i]; |
n = NV(p); m = BDY(p); |
| c = invm(ITOS(BDY(p2)->c),mod); c1 = dmar(c,ITOS(BDY(p1)->c),0,mod); |
d = m0->dl; td = m0->td; c = C(m0); |
| NEWMP(m); m->dl = d; m->c = STOI(mod-c1); NEXT(m) = 0; |
mr0 = 0; |
| MKDP(n,m,s); s->sugar = d->td; |
for ( ; m; m = NEXT(m) ) { |
| _mulmd(CO,mod,s,p2,&t); _addmd(CO,mod,p1,t,rp); |
NEXTNM(mr0,mr); |
| |
c1 = C(m); |
| |
DMAR(c1,c,0,nd_mod,c2); |
| |
C(mr) = c2; |
| |
mr->td = m->td+td; |
| |
ndl_add(m->dl,d,mr->dl); |
| |
} |
| |
NEXT(mr) = 0; |
| |
MKND(NV(p),mr0,r); |
| |
r->sugar = p->sugar + td; |
| |
return r; |
| |
} |
| } |
} |
| |
|
| void _dp_mod(p,mod,subst,rp) |
ND nd_mul_term(ND p,int td,unsigned int *d) |
| DP p; |
|
| int mod; |
|
| NODE subst; |
|
| DP *rp; |
|
| { |
{ |
| MP m,mr,mr0; |
NM m,mr,mr0; |
| P t,s; |
int c,n; |
| NODE tn; |
ND r; |
| |
|
| if ( !p ) |
if ( !p ) |
| *rp = 0; |
return 0; |
| else { |
else { |
| for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { |
n = NV(p); m = BDY(p); |
| for ( tn = subst, s = m->c; tn; tn = NEXT(NEXT(tn)) ) { |
mr0 = 0; |
| substp(CO,s,BDY(tn),BDY(NEXT(tn)),&t); |
for ( ; m; m = NEXT(m) ) { |
| s = t; |
NEXTNM(mr0,mr); |
| |
C(mr) = C(m); |
| |
mr->td = m->td+td; |
| |
ndl_add(m->dl,d,mr->dl); |
| |
} |
| |
NEXT(mr) = 0; |
| |
MKND(NV(p),mr0,r); |
| |
r->sugar = p->sugar + td; |
| |
return r; |
| |
} |
| |
} |
| |
|
| |
#if 1 |
| |
ND nd_nf(ND g,int full) |
| |
{ |
| |
ND p,d,red; |
| |
NM m,mrd,tail; |
| |
int n,sugar,psugar; |
| |
|
| |
if ( !g ) |
| |
return 0; |
| |
sugar = g->sugar; |
| |
n = NV(g); |
| |
for ( d = 0; g; ) { |
| |
red = nd_find_reducer(g); |
| |
if ( red ) { |
| |
#if 1 |
| |
g = nd_add(g,red); |
| |
sugar = MAX(sugar,red->sugar); |
| |
#else |
| |
psugar = (HTD(g)-HTD(red))+red->sugar; |
| |
g = nd_reduce(g,red); |
| |
sugar = MAX(sugar,psugar); |
| |
#endif |
| |
} else if ( !full ) |
| |
return g; |
| |
else { |
| |
m = BDY(g); |
| |
if ( NEXT(m) ) { |
| |
BDY(g) = NEXT(m); NEXT(m) = 0; |
| |
} else { |
| |
FREEND(g); g = 0; |
| } |
} |
| ptomp(mod,s,&t); |
if ( d ) { |
| if ( t ) { |
NEXT(tail)=m; |
| NEXTMP(mr0,mr); mr->c = STOI(CONT((MQ)t)); mr->dl = m->dl; |
tail=m; |
| |
} else { |
| |
MKND(n,m,d); |
| |
tail = BDY(d); |
| } |
} |
| } |
} |
| if ( mr0 ) { |
} |
| NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; |
if ( d ) |
| |
d->sugar = sugar; |
| |
return d; |
| |
} |
| |
#else |
| |
|
| |
ND nd_remove_head(ND p) |
| |
{ |
| |
NM m; |
| |
|
| |
m = BDY(p); |
| |
if ( !NEXT(m) ) { |
| |
FREEND(p); |
| |
p = 0; |
| |
} else |
| |
BDY(p) = NEXT(m); |
| |
FREENM(m); |
| |
return p; |
| |
} |
| |
|
| |
PGeoBucket create_pbucket() |
| |
{ |
| |
PGeoBucket g; |
| |
|
| |
g = CALLOC(1,sizeof(struct oPGeoBucket)); |
| |
g->m = -1; |
| |
return g; |
| |
} |
| |
|
| |
void add_pbucket(PGeoBucket g,ND d) |
| |
{ |
| |
int l,k,m; |
| |
|
| |
l = nd_length(d); |
| |
for ( k = 0, m = 1; l > m; k++, m <<= 2 ); |
| |
/* 4^(k-1) < l <= 4^k */ |
| |
d = nd_add(g->body[k],d); |
| |
for ( ; d && nd_length(d) > 1<<(2*k); k++ ) { |
| |
g->body[k] = 0; |
| |
d = nd_add(g->body[k+1],d); |
| |
} |
| |
g->body[k] = d; |
| |
g->m = MAX(g->m,k); |
| |
} |
| |
|
| |
int head_pbucket(PGeoBucket g) |
| |
{ |
| |
int j,i,c,k,nv,sum; |
| |
unsigned int *di,*dj; |
| |
ND gi,gj; |
| |
|
| |
k = g->m; |
| |
while ( 1 ) { |
| |
j = -1; |
| |
for ( i = 0; i <= k; i++ ) { |
| |
if ( !(gi = g->body[i]) ) |
| |
continue; |
| |
if ( j < 0 ) { |
| |
j = i; |
| |
gj = g->body[j]; |
| |
dj = HDL(gj); |
| |
sum = HC(gj); |
| |
} else { |
| |
di = HDL(gi); |
| |
nv = NV(gi); |
| |
if ( HTD(gi) > HTD(gj) ) |
| |
c = 1; |
| |
else if ( HTD(gi) < HTD(gj) ) |
| |
c = -1; |
| |
else |
| |
c = ndl_compare(di,dj); |
| |
if ( c > 0 ) { |
| |
if ( sum ) |
| |
HC(gj) = sum; |
| |
else |
| |
g->body[j] = nd_remove_head(gj); |
| |
j = i; |
| |
gj = g->body[j]; |
| |
dj = HDL(gj); |
| |
sum = HC(gj); |
| |
} else if ( c == 0 ) { |
| |
sum = sum+HC(gi)-nd_mod; |
| |
if ( sum < 0 ) |
| |
sum += nd_mod; |
| |
g->body[i] = nd_remove_head(gi); |
| |
} |
| |
} |
| |
} |
| |
if ( j < 0 ) |
| |
return -1; |
| |
else if ( sum ) { |
| |
HC(gj) = sum; |
| |
return j; |
| } else |
} else |
| *rp = 0; |
g->body[j] = nd_remove_head(gj); |
| } |
} |
| } |
} |
| |
|
| void _dp_monic(p,mod,rp) |
ND normalize_pbucket(PGeoBucket g) |
| DP p; |
|
| int mod; |
|
| DP *rp; |
|
| { |
{ |
| MP m,mr,mr0; |
int i; |
| int c,c1; |
ND r,t; |
| NODE tn; |
|
| |
|
| if ( !p ) |
r = 0; |
| *rp = 0; |
for ( i = 0; i <= g->m; i++ ) |
| |
r = nd_add(r,g->body[i]); |
| |
return r; |
| |
} |
| |
|
| |
ND nd_nf(ND g,int full) |
| |
{ |
| |
ND u,p,d,red; |
| |
NODE l; |
| |
NM m,mrd; |
| |
int sugar,psugar,n,h_reducible,h; |
| |
PGeoBucket bucket; |
| |
|
| |
if ( !g ) { |
| |
return 0; |
| |
} |
| |
sugar = g->sugar; |
| |
n = g->nv; |
| |
bucket = create_pbucket(); |
| |
add_pbucket(bucket,g); |
| |
d = 0; |
| |
while ( 1 ) { |
| |
h = head_pbucket(bucket); |
| |
if ( h < 0 ) { |
| |
if ( d ) |
| |
d->sugar = sugar; |
| |
return d; |
| |
} |
| |
g = bucket->body[h]; |
| |
red = nd_find_reducer(g); |
| |
if ( red ) { |
| |
bucket->body[h] = nd_remove_head(g); |
| |
red = nd_remove_head(red); |
| |
add_pbucket(bucket,red); |
| |
sugar = MAX(sugar,red->sugar); |
| |
} else if ( !full ) { |
| |
g = normalize_pbucket(bucket); |
| |
if ( g ) |
| |
g->sugar = sugar; |
| |
return g; |
| |
} else { |
| |
m = BDY(g); |
| |
if ( NEXT(m) ) { |
| |
BDY(g) = NEXT(m); NEXT(m) = 0; |
| |
} else { |
| |
FREEND(g); g = 0; |
| |
} |
| |
bucket->body[h] = g; |
| |
NEXT(m) = 0; |
| |
if ( d ) { |
| |
for ( mrd = BDY(d); NEXT(mrd); mrd = NEXT(mrd) ); |
| |
NEXT(mrd) = m; |
| |
} else { |
| |
MKND(n,m,d); |
| |
} |
| |
} |
| |
} |
| |
} |
| |
#endif |
| |
|
| |
NODE nd_gb(NODE f) |
| |
{ |
| |
int i,nh; |
| |
NODE r,g,gall; |
| |
ND_pairs d; |
| |
ND_pairs l; |
| |
ND h,nf; |
| |
|
| |
for ( gall = g = 0, d = 0, r = f; r; r = NEXT(r) ) { |
| |
i = (int)BDY(r); |
| |
d = update_pairs(d,g,i); |
| |
g = update_base(g,i); |
| |
gall = append_one(gall,i); |
| |
} |
| |
while ( d ) { |
| |
#if 0 |
| |
ndp_print(d); |
| |
#endif |
| |
l = nd_minp(d,&d); |
| |
h = nd_sp(l); |
| |
nf = nd_nf(h,!Top); |
| |
if ( nf ) { |
| |
printf("+"); fflush(stdout); |
| |
#if 0 |
| |
ndl_print(HDL(nf)); fflush(stdout); |
| |
#endif |
| |
nh = nd_newps(nf); |
| |
d = update_pairs(d,g,nh); |
| |
g = update_base(g,nh); |
| |
gall = append_one(gall,nh); |
| |
} else { |
| |
printf("."); fflush(stdout); |
| |
} |
| |
} |
| |
return g; |
| |
} |
| |
|
| |
ND_pairs update_pairs( ND_pairs d, NODE /* of index */ g, int t) |
| |
{ |
| |
ND_pairs d1,nd,cur,head,prev; |
| |
|
| |
if ( !g ) return d; |
| |
d = crit_B(d,t); |
| |
d1 = nd_newpairs(g,t); |
| |
d1 = crit_M(d1); |
| |
d1 = crit_F(d1); |
| |
prev = 0; cur = head = d1; |
| |
while ( cur ) { |
| |
if ( crit_2( cur->i1,cur->i2 ) ) { |
| |
if ( !prev ) { |
| |
head = cur = NEXT(cur); |
| |
} else { |
| |
cur = NEXT(prev) = NEXT(cur); |
| |
} |
| |
} else { |
| |
prev = cur; |
| |
cur = NEXT(cur); |
| |
} |
| |
} |
| |
if ( !d ) |
| |
return head; |
| else { |
else { |
| c = invm(ITOS(BDY(p)->c),mod); |
nd = d; |
| for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { |
while ( NEXT(nd) ) |
| c1 = dmar(ITOS(m->c),c,0,mod); |
nd = NEXT(nd); |
| NEXTMP(mr0,mr); mr->c = STOI(c1); mr->dl = m->dl; |
NEXT(nd) = head; |
| |
return d; |
| |
} |
| |
} |
| |
|
| |
ND_pairs nd_newpairs( NODE g, int t ) |
| |
{ |
| |
NODE h; |
| |
unsigned int *dl; |
| |
int td,ts,s; |
| |
ND_pairs r,r0; |
| |
|
| |
dl = HDL(nps[t]); |
| |
td = HTD(nps[t]); |
| |
ts = nps[t]->sugar - td; |
| |
for ( r0 = 0, h = g; h; h = NEXT(h) ) { |
| |
NEXTND_pairs(r0,r); |
| |
r->i1 = (int)BDY(h); |
| |
r->i2 = t; |
| |
ndl_lcm(HDL(nps[r->i1]),dl,r->lcm); |
| |
r->td = ndl_td(r->lcm); |
| |
s = nps[r->i1]->sugar-HTD(nps[r->i1]); |
| |
r->sugar = MAX(s,ts) + r->td; |
| |
} |
| |
NEXT(r) = 0; |
| |
return r0; |
| |
} |
| |
|
| |
ND_pairs crit_B( ND_pairs d, int s ) |
| |
{ |
| |
ND_pairs cur,head,prev; |
| |
unsigned int *t,*tl,*lcm; |
| |
int td,tdl; |
| |
|
| |
if ( !d ) return 0; |
| |
t = HDL(nps[s]); |
| |
prev = 0; |
| |
head = cur = d; |
| |
lcm = (unsigned int *)ALLOCA(nd_wpd*sizeof(unsigned int)); |
| |
while ( cur ) { |
| |
tl = cur->lcm; |
| |
if ( ndl_reducible(tl,t) |
| |
&& (ndl_lcm(HDL(nps[cur->i1]),t,lcm),!ndl_equal(lcm,tl)) |
| |
&& (ndl_lcm(HDL(nps[cur->i2]),t,lcm),!ndl_equal(lcm,tl)) ) { |
| |
if ( !prev ) { |
| |
head = cur = NEXT(cur); |
| |
} else { |
| |
cur = NEXT(prev) = NEXT(cur); |
| |
} |
| |
} else { |
| |
prev = cur; |
| |
cur = NEXT(cur); |
| } |
} |
| NEXT(mr) = 0; MKDP(p->nv,mr0,*rp); (*rp)->sugar = p->sugar; |
|
| } |
} |
| |
return head; |
| } |
} |
| |
|
| void _dp_sp_mod(p1,p2,mod,rp) |
ND_pairs crit_M( ND_pairs d1 ) |
| DP p1,p2; |
|
| int mod; |
|
| DP *rp; |
|
| { |
{ |
| int i,n,td; |
ND_pairs e,d2,d3,dd,p; |
| int *w; |
unsigned int *id,*jd; |
| DL d1,d2,d; |
int itd,jtd; |
| MP m; |
|
| DP t,s,u; |
|
| |
|
| n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; |
for ( dd = 0, e = d1; e; e = d3 ) { |
| w = (int *)ALLOCA(n*sizeof(int)); |
if ( !(d2 = NEXT(e)) ) { |
| for ( i = 0, td = 0; i < n; i++ ) { |
NEXT(e) = dd; |
| w[i] = MAX(d1->d[i],d2->d[i]); td += w[i]; |
return e; |
| |
} |
| |
id = e->lcm; |
| |
itd = e->td; |
| |
for ( d3 = 0; d2; d2 = p ) { |
| |
p = NEXT(d2), |
| |
jd = d2->lcm; |
| |
jtd = d2->td; |
| |
if ( jtd == itd ) |
| |
if ( id == jd ); |
| |
else if ( ndl_reducible(jd,id) ) continue; |
| |
else if ( ndl_reducible(id,jd) ) goto delit; |
| |
else ; |
| |
else if ( jtd > itd ) |
| |
if ( ndl_reducible(jd,id) ) continue; |
| |
else ; |
| |
else if ( ndl_reducible(id,jd ) ) goto delit; |
| |
NEXT(d2) = d3; |
| |
d3 = d2; |
| |
} |
| |
NEXT(e) = dd; |
| |
dd = e; |
| |
continue; |
| |
/**/ |
| |
delit: NEXT(d2) = d3; |
| |
d3 = d2; |
| |
for ( ; p; p = d2 ) { |
| |
d2 = NEXT(p); |
| |
NEXT(p) = d3; |
| |
d3 = p; |
| |
} |
| } |
} |
| NEWDL(d,n); d->td = td - d1->td; |
return dd; |
| for ( i = 0; i < n; i++ ) |
|
| d->d[i] = w[i] - d1->d[i]; |
|
| NEWMP(m); m->dl = d; m->c = BDY(p2)->c; NEXT(m) = 0; |
|
| MKDP(n,m,s); s->sugar = d->td; _mulmd(CO,mod,s,p1,&t); |
|
| NEWDL(d,n); d->td = td - d2->td; |
|
| for ( i = 0; i < n; i++ ) |
|
| d->d[i] = w[i] - d2->d[i]; |
|
| NEWMP(m); m->dl = d; m->c = STOI(mod - ITOS(BDY(p1)->c)); NEXT(m) = 0; |
|
| MKDP(n,m,s); s->sugar = d->td; _mulmd(CO,mod,s,p2,&u); |
|
| _addmd(CO,mod,t,u,rp); |
|
| } |
} |
| |
|
| void _dp_sp_component_mod(p1,p2,mod,f1,f2) |
ND_pairs crit_F( ND_pairs d1 ) |
| DP p1,p2; |
|
| int mod; |
|
| DP *f1,*f2; |
|
| { |
{ |
| int i,n,td; |
ND_pairs rest, head; |
| int *w; |
ND_pairs last, p, r, w; |
| DL d1,d2,d; |
int s; |
| MP m; |
|
| DP t,s,u; |
|
| |
|
| n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; |
for ( head = last = 0, p = d1; NEXT(p); ) { |
| w = (int *)ALLOCA(n*sizeof(int)); |
r = w = equivalent_pairs(p,&rest); |
| for ( i = 0, td = 0; i < n; i++ ) { |
s = r->sugar; |
| w[i] = MAX(d1->d[i],d2->d[i]); td += w[i]; |
while ( w = NEXT(w) ) |
| |
if ( crit_2(w->i1,w->i2) ) { |
| |
r = w; |
| |
break; |
| |
} else if ( w->sugar < s ) { |
| |
r = w; |
| |
s = r->sugar; |
| |
} |
| |
if ( last ) NEXT(last) = r; |
| |
else head = r; |
| |
NEXT(last = r) = 0; |
| |
p = rest; |
| |
if ( !p ) return head; |
| } |
} |
| NEWDL(d,n); d->td = td - d1->td; |
if ( !last ) return p; |
| for ( i = 0; i < n; i++ ) |
NEXT(last) = p; |
| d->d[i] = w[i] - d1->d[i]; |
return head; |
| NEWMP(m); m->dl = d; m->c = BDY(p2)->c; NEXT(m) = 0; |
|
| MKDP(n,m,s); s->sugar = d->td; _mulmd(CO,mod,s,p1,f1); |
|
| NEWDL(d,n); d->td = td - d2->td; |
|
| for ( i = 0; i < n; i++ ) |
|
| d->d[i] = w[i] - d2->d[i]; |
|
| NEWMP(m); m->dl = d; m->c = BDY(p1)->c; NEXT(m) = 0; |
|
| MKDP(n,m,s); s->sugar = d->td; _mulmd(CO,mod,s,p2,f2); |
|
| } |
} |
| |
|
| void _printdp(d) |
int crit_2( int dp1, int dp2 ) |
| DP d; |
|
| { |
{ |
| int n,i; |
return ndl_disjoint(HDL(nps[dp1]),HDL(nps[dp2])); |
| MP m; |
} |
| |
|
| |
static ND_pairs equivalent_pairs( ND_pairs d1, ND_pairs *prest ) |
| |
{ |
| |
ND_pairs w,p,r,s; |
| |
unsigned int *d; |
| |
int td; |
| |
|
| |
w = d1; |
| |
d = w->lcm; |
| |
td = w->td; |
| |
s = NEXT(w); |
| |
NEXT(w) = 0; |
| |
for ( r = 0; s; s = p ) { |
| |
p = NEXT(s); |
| |
if ( td == s->td && ndl_equal(d,s->lcm) ) { |
| |
NEXT(s) = w; |
| |
w = s; |
| |
} else { |
| |
NEXT(s) = r; |
| |
r = s; |
| |
} |
| |
} |
| |
*prest = r; |
| |
return w; |
| |
} |
| |
|
| |
NODE update_base(NODE nd,int ndp) |
| |
{ |
| |
unsigned int *dl, *dln; |
| |
NODE last, p, head; |
| |
int td,tdn; |
| |
|
| |
dl = HDL(nps[ndp]); |
| |
td = HTD(nps[ndp]); |
| |
for ( head = last = 0, p = nd; p; ) { |
| |
dln = HDL(nps[(int)BDY(p)]); |
| |
tdn = HTD(nps[(int)BDY(p)]); |
| |
if ( tdn >= td && ndl_reducible( dln, dl ) ) { |
| |
p = NEXT(p); |
| |
if ( last ) NEXT(last) = p; |
| |
} else { |
| |
if ( !last ) head = p; |
| |
p = NEXT(last = p); |
| |
} |
| |
} |
| |
head = append_one(head,ndp); |
| |
return head; |
| |
} |
| |
|
| |
ND_pairs nd_minp( ND_pairs d, ND_pairs *prest ) |
| |
{ |
| |
ND_pairs m,ml,p,l; |
| |
unsigned int *lcm; |
| |
int s,td,len,tlen,c; |
| |
|
| |
if ( !(p = NEXT(m = d)) ) { |
| |
*prest = p; |
| |
NEXT(m) = 0; |
| |
return m; |
| |
} |
| |
lcm = m->lcm; |
| |
s = m->sugar; |
| |
td = m->td; |
| |
len = nd_length(nps[m->i1])+nd_length(nps[m->i2]); |
| |
for ( ml = 0, l = m; p; p = NEXT(l = p) ) { |
| |
if (p->sugar < s) |
| |
goto find; |
| |
else if ( p->sugar == s ) { |
| |
if ( p->td < td ) |
| |
goto find; |
| |
else if ( p->td == td ) { |
| |
c = ndl_compare(p->lcm,lcm); |
| |
if ( c < 0 ) |
| |
goto find; |
| |
else if ( c == 0 ) { |
| |
tlen = nd_length(nps[p->i1])+nd_length(nps[p->i2]); |
| |
if ( tlen < len ) |
| |
goto find; |
| |
} |
| |
} |
| |
} |
| |
continue; |
| |
find: |
| |
ml = l; |
| |
m = p; |
| |
lcm = m->lcm; |
| |
s = m->sugar; |
| |
td = m->td; |
| |
len = tlen; |
| |
} |
| |
if ( !ml ) *prest = NEXT(m); |
| |
else { |
| |
NEXT(ml) = NEXT(m); |
| |
*prest = d; |
| |
} |
| |
NEXT(m) = 0; |
| |
return m; |
| |
} |
| |
|
| |
int nd_newps(ND a) |
| |
{ |
| |
if ( nd_psn == nd_pslen ) { |
| |
nd_pslen *= 2; |
| |
nps = (ND *)REALLOC((char *)nps,nd_pslen*sizeof(ND)); |
| |
} |
| |
nd_monic(a); |
| |
nps[nd_psn] = a; |
| |
return nd_psn++; |
| |
} |
| |
|
| |
NODE NODE_sortb(NODE f,int); |
| |
ND dptond(DP); |
| |
DP ndtodp(ND); |
| |
|
| |
NODE nd_setup(NODE f) |
| |
{ |
| |
int i; |
| |
NODE s,s0,f0; |
| |
|
| |
#if 0 |
| |
f0 = f = NODE_sortb(f,1); |
| |
#endif |
| |
nd_psn = length(f); nd_pslen = 2*nd_psn; |
| |
nps = (ND *)MALLOC(nd_pslen*sizeof(ND)); |
| |
nd_bpe = 4; |
| |
nd_epw = (sizeof(unsigned int)*8)/nd_bpe; |
| |
nd_wpd = nd_nvar/nd_epw+(nd_nvar%nd_epw?1:0); |
| |
if ( nd_bpe < 32 ) { |
| |
nd_mask0 = (1<<nd_bpe)-1; |
| |
} else { |
| |
nd_mask0 = 0xffffffff; |
| |
} |
| |
bzero(nd_mask,sizeof(nd_mask)); |
| |
for ( i = 0; i < nd_epw; i++ ) |
| |
nd_mask[nd_epw-i-1] = (nd_mask0<<(i*nd_bpe)); |
| |
nd_free_private_storage(); |
| |
for ( i = 0; i < nd_psn; i++, f = NEXT(f) ) { |
| |
nps[i] = dptond((DP)BDY(f)); |
| |
nd_monic(nps[i]); |
| |
} |
| |
for ( s0 = 0, i = 0; i < nd_psn; i++ ) { |
| |
NEXTNODE(s0,s); BDY(s) = (pointer)i; |
| |
} |
| |
if ( s0 ) NEXT(s) = 0; |
| |
return s0; |
| |
} |
| |
|
| |
void nd_gr(LIST f,LIST v,int m,struct order_spec *ord,LIST *rp) |
| |
{ |
| |
struct order_spec ord1; |
| |
VL fv,vv,vc; |
| |
NODE fd,fd0,r,r0,t,x,s,xx; |
| |
DP a,b,c; |
| |
|
| |
get_vars((Obj)f,&fv); pltovl(v,&vv); |
| |
nd_nvar = length(vv); |
| |
if ( ord->id ) |
| |
error("nd_gr : unsupported order"); |
| |
switch ( ord->ord.simple ) { |
| |
case 0: |
| |
is_rlex = 1; |
| |
break; |
| |
case 1: |
| |
is_rlex = 0; |
| |
break; |
| |
default: |
| |
error("nd_gr : unsupported order"); |
| |
} |
| |
initd(ord); |
| |
nd_mod = m; |
| |
for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) { |
| |
ptod(CO,vv,(P)BDY(t),&b); |
| |
_dp_mod(b,m,0,&c); |
| |
if ( c ) { |
| |
NEXTNODE(fd0,fd); BDY(fd) = (pointer)c; |
| |
} |
| |
} |
| |
if ( fd0 ) NEXT(fd) = 0; |
| |
s = nd_setup(fd0); |
| |
x = nd_gb(s); |
| |
#if 0 |
| |
x = nd_reduceall(x,m); |
| |
#endif |
| |
for ( r0 = 0; x; x = NEXT(x) ) { |
| |
NEXTNODE(r0,r); |
| |
a = ndtodp(nps[(int)BDY(x)]); |
| |
_dtop_mod(CO,vv,a,(P *)&BDY(r)); |
| |
} |
| |
if ( r0 ) NEXT(r) = 0; |
| |
MKLIST(*rp,r0); |
| |
} |
| |
|
| |
void dltondl(int n,DL dl,unsigned int *r) |
| |
{ |
| |
unsigned int *d; |
| |
int i; |
| |
|
| |
d = dl->d; |
| |
bzero(r,nd_wpd*sizeof(unsigned int)); |
| |
if ( is_rlex ) |
| |
for ( i = 0; i < n; i++ ) |
| |
r[(n-1-i)/nd_epw] |= (d[i]<<((nd_epw-((n-1-i)%nd_epw)-1)*nd_bpe)); |
| |
else |
| |
for ( i = 0; i < n; i++ ) |
| |
r[i/nd_epw] |= d[i]<<((nd_epw-(i%nd_epw)-1)*nd_bpe); |
| |
} |
| |
|
| |
DL ndltodl(int n,int td,unsigned int *ndl) |
| |
{ |
| DL dl; |
DL dl; |
| |
int *d; |
| |
int i; |
| |
|
| if ( !d ) { |
NEWDL(dl,n); |
| printf("0"); return; |
dl->td = td; |
| |
d = dl->d; |
| |
if ( is_rlex ) |
| |
for ( i = 0; i < n; i++ ) |
| |
d[i] = (ndl[(n-1-i)/nd_epw]>>((nd_epw-((n-1-i)%nd_epw)-1)*nd_bpe)) |
| |
&((1<<nd_bpe)-1); |
| |
else |
| |
for ( i = 0; i < n; i++ ) |
| |
d[i] = (ndl[i/nd_epw]>>((nd_epw-(i%nd_epw)-1)*nd_bpe)) |
| |
&((1<<nd_bpe)-1); |
| |
return dl; |
| |
} |
| |
|
| |
ND dptond(DP p) |
| |
{ |
| |
ND d; |
| |
NM m0,m; |
| |
MP t; |
| |
int n; |
| |
|
| |
if ( !p ) |
| |
return 0; |
| |
n = NV(p); |
| |
m0 = 0; |
| |
for ( t = BDY(p); t; t = NEXT(t) ) { |
| |
NEXTNM(m0,m); |
| |
m->c = ITOS(t->c); |
| |
m->td = t->dl->td; |
| |
dltondl(n,t->dl,m->dl); |
| } |
} |
| for ( n = d->nv, m = BDY(d); m; m = NEXT(m) ) { |
NEXT(m) = 0; |
| printf("%d*<<",ITOS(m->c)); |
MKND(n,m0,d); |
| for ( i = 0, dl = m->dl; i < n-1; i++ ) |
d->nv = n; |
| printf("%d,",dl->d[i]); |
d->sugar = p->sugar; |
| printf("%d",dl->d[i]); |
return d; |
| printf(">>"); |
} |
| if ( NEXT(m) ) |
|
| printf("+"); |
DP ndtodp(ND p) |
| |
{ |
| |
DP d; |
| |
MP m0,m; |
| |
NM t; |
| |
int n; |
| |
|
| |
if ( !p ) |
| |
return 0; |
| |
n = NV(p); |
| |
m0 = 0; |
| |
for ( t = BDY(p); t; t = NEXT(t) ) { |
| |
NEXTMP(m0,m); |
| |
m->c = STOI(t->c); |
| |
m->dl = ndltodl(n,t->td,t->dl); |
| |
} |
| |
NEXT(m) = 0; |
| |
MKDP(n,m0,d); |
| |
d->sugar = p->sugar; |
| |
return d; |
| |
} |
| |
|
| |
void ndl_print(unsigned int *dl) |
| |
{ |
| |
int n; |
| |
int i; |
| |
|
| |
n = nd_nvar; |
| |
printf("<<"); |
| |
if ( is_rlex ) |
| |
for ( i = 0; i < n; i++ ) |
| |
printf(i==n-1?"%d":"%d,", |
| |
(dl[(n-1-i)/nd_epw]>>((nd_epw-((n-1-i)%nd_epw)-1)*nd_bpe)) |
| |
&((1<<nd_bpe)-1)); |
| |
else |
| |
for ( i = 0; i < n; i++ ) |
| |
printf(i==n-1?"%d":"%d,", |
| |
(dl[i/nd_epw]>>((nd_epw-(i%nd_epw)-1)*nd_bpe)) |
| |
&((1<<nd_bpe)-1)); |
| |
printf(">>"); |
| |
} |
| |
|
| |
void nd_print(ND p) |
| |
{ |
| |
NM m; |
| |
|
| |
if ( !p ) |
| |
printf("0\n"); |
| |
else { |
| |
for ( m = BDY(p); m; m = NEXT(m) ) { |
| |
printf("+%d*",m->c); |
| |
ndl_print(m->dl); |
| |
} |
| |
printf("\n"); |
| |
} |
| |
} |
| |
|
| |
void ndp_print(ND_pairs d) |
| |
{ |
| |
ND_pairs t; |
| |
|
| |
for ( t = d; t; t = NEXT(t) ) { |
| |
printf("%d,%d ",t->i1,t->i2); |
| |
} |
| |
printf("\n"); |
| |
} |
| |
|
| |
void nd_monic(ND p) |
| |
{ |
| |
if ( !p ) |
| |
return; |
| |
else |
| |
nd_mul_c(p,invm(HC(p),nd_mod)); |
| |
} |
| |
|
| |
void nd_mul_c(ND p,int mul) |
| |
{ |
| |
NM m; |
| |
int c,c1; |
| |
|
| |
if ( !p ) |
| |
return; |
| |
for ( m = BDY(p); m; m = NEXT(m) ) { |
| |
c1 = C(m); |
| |
DMAR(c1,mul,0,nd_mod,c); |
| |
C(m) = c; |
| } |
} |
| } |
} |
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