version 1.2, 2000/08/21 08:31:27 |
version 1.10, 2001/09/17 01:18:35 |
|
|
* 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 1.1 2000/07/13 05:50:39 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/engine/_distm.c,v 1.9 2001/09/11 03:13:43 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 dpto_dp(); |
void _dptodp(); |
void _dptodp(); |
void adddl_dup(); |
void _adddl_dup(); |
|
void adddl_destructive(); |
void _mulmdm_dup(); |
void _mulmdm_dup(); |
void _free_dp(); |
void _free_dp(); |
void _comm_mulmd_dup(); |
void _comm_mulmd_dup(); |
void _weyl_mulmd_dup(); |
void _weyl_mulmd_dup(); |
void _weyl_mulmmm_dup(); |
void _weyl_mulmmm_dup(); |
void _weyl_mulmdm_dup(); |
void _weyl_mulmdm_dup(); |
|
void _comm_mulmd_tab(); |
|
void _comm_mulmd_tab_destructive(); |
|
|
MP _mp_free_list; |
MP _mp_free_list; |
DP _dp_free_list; |
DP _dp_free_list; |
DL _dl_free_list; |
DL _dl_free_list; |
int current_dl_length; |
int current_dl_length; |
|
|
#define _NEWDL_NOINIT(d,n) if ((n)!= current_dl_length){_dl_free_list=0; current_dl_length=(n);} if(!_dl_free_list)_DL_alloc(); (d)=_dl_free_list; _dl_free_list = *((DL *)_dl_free_list) |
void _free_private_storage() |
#define _NEWDL(d,n) if ((n)!= current_dl_length){_dl_free_list=0; current_dl_length=(n);} if(!_dl_free_list)_DL_alloc(); (d)=_dl_free_list; _dl_free_list = *((DL *)_dl_free_list); bzero((d),(((n)+1)*sizeof(int))) |
{ |
#define _NEWMP(m) if(!_mp_free_list)_MP_alloc(); (m)=_mp_free_list; _mp_free_list = NEXT(_mp_free_list) |
_mp_free_list = 0; |
#define _MKDP(n,m,d) if(!_dp_free_list)_DP_alloc(); (d)=_dp_free_list; _dp_free_list = (DP)BDY(_dp_free_list); (d)->nv=(n); BDY(d)=(m) |
_dp_free_list = 0; |
|
_dl_free_list = 0; |
|
GC_gcollect(); |
|
} |
|
|
#define _NEXTMP(r,c) \ |
|
if(!(r)){_NEWMP(r);(c)=(r);}else{_NEWMP(NEXT(c));(c)=NEXT(c);} |
|
|
|
#define _NEXTMP2(r,c,s) \ |
|
if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);} |
|
|
|
#define FREEDL(m) *((DL *)m)=_dl_free_list; _dl_free_list=(m) |
|
#define FREEMP(m) NEXT(m)=_mp_free_list; _mp_free_list=(m) |
|
#define FREEDP(m) BDY(m)=(MP)_dp_free_list; _dp_free_list=(m) |
|
|
|
|
|
void _DL_alloc() |
void _DL_alloc() |
{ |
{ |
int *p; |
int *p; |
Line 101 void _DL_alloc() |
|
|
|
|
/* fprintf(stderr,"DL_alloc : %d \n",++DL_alloc_count); */ |
/* fprintf(stderr,"DL_alloc : %d \n",++DL_alloc_count); */ |
dl_len = (current_dl_length+1); |
dl_len = (current_dl_length+1); |
|
#if defined(LONG_IS_64BIT) |
|
if ( dl_len & 1 ) |
|
dl_len += 1; |
|
#endif |
p = (int *)GC_malloc(128*dl_len*sizeof(int)); |
p = (int *)GC_malloc(128*dl_len*sizeof(int)); |
for ( i = 0; i < 128; i++, p += dl_len ) { |
for ( i = 0; i < 128; i++, p += dl_len ) { |
*(DL *)p = _dl_free_list; |
*(DL *)p = _dl_free_list; |
|
|
if ( t ) { |
if ( t ) { |
_NEXTMP2(mr0,mr,s); C(mr) = STOI(t); |
_NEXTMP2(mr0,mr,s); C(mr) = STOI(t); |
} else { |
} else { |
FREEDL(s->dl); FREEMP(s); |
_FREEDL(s->dl); _FREEMP(s); |
} |
} |
s = m2; m2 = NEXT(m2); FREEDL(s->dl); FREEMP(s); |
s = m2; m2 = NEXT(m2); _FREEDL(s->dl); _FREEMP(s); |
break; |
break; |
case 1: |
case 1: |
s = m1; m1 = NEXT(m1); _NEXTMP2(mr0,mr,s); |
s = m1; m1 = NEXT(m1); _NEXTMP2(mr0,mr,s); |
|
|
_MKDP(NV(p1),mr0,*pr); |
_MKDP(NV(p1),mr0,*pr); |
if ( *pr ) |
if ( *pr ) |
(*pr)->sugar = MAX(p1->sugar,p2->sugar); |
(*pr)->sugar = MAX(p1->sugar,p2->sugar); |
FREEDP(p1); FREEDP(p2); |
_FREEDP(p1); _FREEDP(p2); |
} |
} |
} |
} |
|
|
|
|
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_dup(mod,p1,w[i],&t); _addmd_destructive(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; |
|
|
{ |
{ |
MP m,mr,mr0; |
MP m,mr,mr0; |
DL d,dt,dm; |
DL d,dt,dm; |
int c,n,r,i; |
int c,n,r,i,c1,c2; |
int *pt,*p1,*p2; |
int *pt,*p1,*p2; |
|
|
if ( !p ) |
if ( !p ) |
|
|
for ( mr0 = 0, m = BDY(p), c = ITOS(C(m0)), d = m0->dl, n = NV(p); |
for ( mr0 = 0, m = BDY(p), c = ITOS(C(m0)), d = m0->dl, n = NV(p); |
m; m = NEXT(m) ) { |
m; m = NEXT(m) ) { |
_NEXTMP(mr0,mr); |
_NEXTMP(mr0,mr); |
C(mr) = STOI(dmar(ITOS(C(m)),c,0,mod)); |
c1 = ITOS(C(m)); |
|
DMAR(c1,c,0,mod,c2); |
|
C(mr) = (P)STOI(c2); |
_NEWDL_NOINIT(dt,n); mr->dl = dt; |
_NEWDL_NOINIT(dt,n); mr->dl = dt; |
dm = m->dl; |
dm = m->dl; |
dt->td = d->td + dm->td; |
dt->td = d->td + dm->td; |
|
|
} |
} |
} |
} |
|
|
void _weyl_mulmdm_dup(mod,p,m0,pr) |
void _weyl_mulmmm_dup_bug(); |
|
|
|
void _weyl_mulmdm_dup(mod,m0,p,pr) |
int mod; |
int mod; |
DP p; |
|
MP m0; |
MP m0; |
|
DP p; |
DP *pr; |
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_dup(mod,w[i],m0,n,&t); |
d0 = m0->dl; |
_addmd_destructive(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_dup(mod,m0,m1,n,pr) |
void _weyl_mulmmm_dup(mod,m0,m1,n,rtab,rtablen) |
int mod; |
int mod; |
MP m0,m1; |
MP m0,m1; |
int n; |
int n; |
DP *pr; |
struct cdlm *rtab; |
|
int rtablen; |
{ |
{ |
MP m,mr,mr0; |
MP m,mr,mr0; |
DP r,t,t1; |
DP r,t,t1; |
int c,c0,c1,cc; |
int c,c0,c1,cc; |
DL d,d0,d1; |
DL d,d0,d1,dt; |
int i,j,a,b,k,l,n2,s,min,h; |
int i,j,a,b,k,l,n2,s,min,h,curlen; |
static int *tab; |
struct cdlm *p; |
|
static int *ctab; |
|
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 ) |
if ( n & 1 ) |
/* offset of h-degree */ |
/* offset of h-degree */ |
d->td = d->d[n-1] = d0->d[n-1]+d1->d[n-1]; |
d->td = d->d[n-1] = d0->d[n-1]+d1->d[n-1]; |
else |
else |
d->td = 0; |
d->td = 0; |
_NEWMP(mr); mr->c = STOI(c); mr->dl = d; NEXT(mr) = 0; |
rtab[0].c = c; |
_MKDP(n,mr,r); r->sugar = d->td; |
rtab[0].d = d; |
|
|
/* homogenized computation; dx-xd=h^2 */ |
if ( rtablen > tmptablen ) { |
for ( i = 0; i < n2; i++ ) { |
if ( tmptab ) GC_free(tmptab); |
a = d0->d[i]; b = d1->d[n2+i]; |
tmptab = (struct cdlm *)MALLOC(rtablen*sizeof(struct cdlm)); |
k = d0->d[n2+i]; l = d1->d[i]; |
tmptablen = rtablen; |
/* degree of xi^a*(Di^k*xi^l)*Di^b */ |
} |
s = a+k+l+b; |
|
/* compute xi^a*(Di^k*xi^l)*Di^b */ |
|
min = MIN(k,l); |
|
|
|
if ( min+1 > tablen ) { |
for ( i = 0; i < n2; i++ ) { |
if ( tab ) GC_free(tab); |
a = d0->d[i]; b = d1->d[n2+i]; |
tab = (int *)MALLOC((min+1)*sizeof(int)); |
k = d0->d[n2+i]; l = d1->d[i]; |
tablen = min+1; |
if ( !k || !l ) { |
} |
a += l; |
mkwcm(k,l,mod,tab); |
b += k; |
if ( n & 1 ) |
s = a+b; |
for ( mr0 = 0, j = 0; j <= min; j++ ) { |
for ( j = 0, p = rtab; j < curlen; j++, p++ ) { |
_NEXTMP(mr0,mr); _NEWDL(d,n); |
if ( p->c ) { |
d->d[i] = l-j+a; d->d[n2+i] = k-j+b; |
dt = p->d; |
d->td = s; |
dt->d[i] = a; |
d->d[n-1] = s-(d->d[i]+d->d[n2+i]); |
dt->d[n2+i] = b; |
mr->c = STOI(tab[j]); mr->dl = d; |
dt->td += s; |
} |
} |
else |
} |
for ( mr0 = 0, s = 0, j = 0; j <= min; j++ ) { |
curlen *= k+1; |
_NEXTMP(mr0,mr); _NEWDL(d,n); |
continue; |
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; |
|
} |
|
bzero(tab,(min+1)*sizeof(int)); |
|
if ( mr0 ) |
|
NEXT(mr) = 0; |
|
_MKDP(n,mr0,t); |
|
if ( t ) |
|
t->sugar = s; |
|
_comm_mulmd_dup(mod,r,t,&t1); |
|
_free_dp(r); _free_dp(t); |
|
r = t1; |
|
} |
} |
*pr = r; |
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)); |
|
} |
|
/* degree of xi^a*(Di^k*xi^l)*Di^b */ |
|
s = a+k+l+b; |
|
/* 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 ) |
|
for ( j = 0; j <= min; j++ ) { |
|
_NEWDL(d,n); |
|
d->d[i] = l-j+a; d->d[n2+i] = k-j+b; |
|
d->td = s; |
|
d->d[n-1] = s-(d->d[i]+d->d[n2+i]); |
|
tab[j].d = d; |
|
tab[j].c = ctab[j]; |
|
} |
|
else |
|
for ( j = 0; j <= min; j++ ) { |
|
_NEWDL(d,n); |
|
d->d[i] = l-j+a; d->d[n2+i] = k-j+b; |
|
d->td = d->d[i]+d->d[n2+i]; /* XXX */ |
|
tab[j].d = d; |
|
tab[j].c = ctab[j]; |
|
} |
|
#if 0 |
|
_comm_mulmd_tab(mod,n,rtab,curlen,tab,k+1,tmptab); |
|
for ( j = 0; j < curlen; j++ ) |
|
if ( rtab[j].d ) { _FREEDL(rtab[j].d); } |
|
for ( j = 0; j <= min; j++ ) |
|
if ( tab[j].d ) { _FREEDL(tab[j].d); } |
|
curlen *= k+1; |
|
bcopy(tmptab,rtab,curlen*sizeof(struct cdlm)); |
|
#else |
|
_comm_mulmd_tab_destructive(mod,n,rtab,curlen,tab,k+1); |
|
for ( j = 0; j <= min; j++ ) |
|
if ( tab[j].d ) { _FREEDL(tab[j].d); } |
|
curlen *= k+1; |
|
#endif |
} |
} |
} |
} |
|
|
void _dp_red_mod_destructive(p1,p2,mod,rp) |
/* direct product of two cdlm tables |
DP p1,p2; |
rt[] = [ |
|
t[0]*t1[0],...,t[n-1]*t1[0], |
|
t[0]*t1[1],...,t[n-1]*t1[1], |
|
... |
|
t[0]*t1[n1-1],...,t[n-1]*t1[n1-1] |
|
] |
|
*/ |
|
|
|
void _comm_mulmd_tab(mod,nv,t,n,t1,n1,rt) |
int mod; |
int mod; |
DP *rp; |
int nv; |
|
struct cdlm *t; |
|
int n; |
|
struct cdlm *t1; |
|
int n1; |
|
struct cdlm *rt; |
{ |
{ |
int i,n; |
int i,j; |
DL d1,d2,d; |
struct cdlm *p; |
MP m; |
int c; |
DP t,s; |
DL d; |
int c,c1; |
|
|
|
n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; |
bzero(rt,n*n1*sizeof(struct cdlm)); |
_NEWDL(d,n); d->td = d1->td - d2->td; |
for ( j = 0, p = rt; j < n1; j++ ) { |
for ( i = 0; i < n; i++ ) |
c = t1[j].c; |
d->d[i] = d1->d[i]-d2->d[i]; |
d = t1[j].d; |
c = invm(ITOS(BDY(p2)->c),mod); c1 = dmar(c,ITOS(BDY(p1)->c),0,mod); |
if ( !c ) |
_NEWMP(m); m->dl = d; m->c = STOI(mod-c1); NEXT(m) = 0; |
break; |
_MKDP(n,m,s); s->sugar = d->td; |
for ( i = 0; i < n; i++, p++ ) { |
_mulmd_dup(mod,s,p2,&t); _free_dp(s); |
if ( t[i].c ) { |
_addmd_destructive(mod,p1,t,rp); |
p->c = dmar(t[i].c,c,0,mod); |
|
_adddl_dup(nv,t[i].d,d,&p->d); |
|
} |
|
} |
|
} |
} |
} |
|
|
void _dp_sp_mod_dup(p1,p2,mod,rp) |
void _comm_mulmd_tab_destructive(mod,nv,t,n,t1,n1) |
DP p1,p2; |
|
int mod; |
int mod; |
DP *rp; |
int nv; |
|
struct cdlm *t; |
|
int n; |
|
struct cdlm *t1; |
|
int n1; |
{ |
{ |
int i,n,td; |
int i,j; |
int *w; |
struct cdlm *p; |
DL d1,d2,d; |
int c; |
MP m; |
DL d; |
DP t,s,u; |
|
|
|
n = p1->nv; d1 = BDY(p1)->dl; d2 = BDY(p2)->dl; |
for ( j = 1, p = t+n; j < n1; j++ ) { |
w = (int *)ALLOCA(n*sizeof(int)); |
c = t1[j].c; |
for ( i = 0, td = 0; i < n; i++ ) { |
d = t1[j].d; |
w[i] = MAX(d1->d[i],d2->d[i]); td += w[i]; |
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); |
|
} |
|
} |
} |
} |
_NEWDL(d,n); d->td = td - d1->td; |
c = t1[0].c; |
|
d = t1[0].d; |
|
for ( i = 0, p = t; i < n; i++, p++ ) |
|
if ( t[i].c ) { |
|
p->c = dmar(t[i].c,c,0,mod); |
|
/* t[i].d += d */ |
|
adddl_destructive(nv,t[i].d,d); |
|
} |
|
} |
|
|
|
void dlto_dl(d,dr) |
|
DL d; |
|
DL *dr; |
|
{ |
|
int i,n; |
|
DL t; |
|
|
|
n = current_dl_length; |
|
_NEWDL(t,n); *dr = t; |
|
t->td = d->td; |
for ( i = 0; i < n; i++ ) |
for ( i = 0; i < n; i++ ) |
d->d[i] = w[i] - d1->d[i]; |
t->d[i] = d->d[i]; |
_NEWMP(m); m->dl = d; m->c = BDY(p2)->c; NEXT(m) = 0; |
|
_MKDP(n,m,s); s->sugar = d->td; _mulmd_dup(mod,s,p1,&t); _free_dp(s); |
|
_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_dup(mod,s,p2,&u); _free_dp(s); |
|
_addmd_destructive(mod,t,u,rp); |
|
} |
} |
|
|
void _dltodl(d,dr) |
void _dltodl(d,dr) |
|
|
t->d[i] = d->d[i]; |
t->d[i] = d->d[i]; |
} |
} |
|
|
void adddl_dup(n,d1,d2,dr) |
void _adddl_dup(n,d1,d2,dr) |
int n; |
int n; |
DL d1,d2; |
DL d1,d2; |
DL *dr; |
DL *dr; |
|
|
DL dt; |
DL dt; |
int i; |
int i; |
|
|
_NEWDL(dt,n); *dr = dt; |
_NEWDL(dt,n); |
|
*dr = dt; |
dt->td = d1->td + d2->td; |
dt->td = d1->td + d2->td; |
for ( i = 0; i < n; i++ ) |
for ( i = 0; i < n; i++ ) |
dt->d[i] = d1->d[i]+d2->d[i]; |
dt->d[i] = d1->d[i]+d2->d[i]; |
} |
} |
|
|
|
void _free_dlarray(a,n) |
|
DL *a; |
|
int n; |
|
{ |
|
int i; |
|
|
|
for ( i = 0; i < n; i++ ) { _FREEDL(a[i]); } |
|
} |
|
|
void _free_dp(f) |
void _free_dp(f) |
DP f; |
DP f; |
{ |
{ |
|
|
return; |
return; |
m = f->body; |
m = f->body; |
while ( m ) { |
while ( m ) { |
s = m; m = NEXT(m); FREEDL(s->dl); FREEMP(s); |
s = m; m = NEXT(m); _FREEDL(s->dl); _FREEMP(s); |
} |
} |
FREEDP(f); |
_FREEDP(f); |
} |
} |
|
|
|
void dpto_dp(p,r) |
|
DP p; |
|
DP *r; |
|
{ |
|
MP m,mr0,mr; |
|
DL t; |
|
|
|
if ( !p ) |
|
*r = 0; |
|
else { |
|
/* XXX : dummy call to set current_dl_length */ |
|
_NEWDL_NOINIT(t,NV(p)); |
|
|
|
for ( m = BDY(p), mr0 = 0; m; m = NEXT(m) ) { |
|
_NEXTMP(mr0,mr); |
|
dlto_dl(m->dl,&mr->dl); |
|
mr->c = m->c; |
|
} |
|
NEXT(mr) = 0; |
|
_MKDP(p->nv,mr0,*r); |
|
(*r)->sugar = p->sugar; |
|
} |
|
} |
|
|
void _dptodp(p,r) |
void _dptodp(p,r) |
DP p; |
DP p; |
DP *r; |
DP *r; |
|
|
} |
} |
} |
} |
|
|
void _dp_nf_mod_destructive(b,g,ps,mod,full,rp) |
/* |
NODE b; |
* destructive merge of two list |
DP g; |
* |
DP *ps; |
* p1, p2 : list of DL |
int mod,full; |
* return : a merged list |
DP *rp; |
*/ |
|
|
|
NODE _symb_merge(m1,m2,n) |
|
NODE m1,m2; |
|
int n; |
{ |
{ |
DP u,p,d,s,t; |
NODE top,prev,cur,m,t; |
NODE l; |
|
MP m,mr,mrd; |
|
int sugar,psugar,n,h_reducible,i; |
|
|
|
if ( !g ) { |
if ( !m1 ) |
*rp = 0; return; |
return m2; |
|
else if ( !m2 ) |
|
return m1; |
|
else { |
|
switch ( (*cmpdl)(n,(DL)BDY(m1),(DL)BDY(m2)) ) { |
|
case 0: |
|
top = m1; _FREEDL((DL)BDY(m2)); m = NEXT(m2); |
|
break; |
|
case 1: |
|
top = m1; m = m2; |
|
break; |
|
case -1: |
|
top = m2; m = m1; |
|
break; |
|
} |
|
prev = top; cur = NEXT(top); |
|
/* BDY(prev) > BDY(m) always holds */ |
|
while ( cur && m ) { |
|
switch ( (*cmpdl)(n,(DL)BDY(cur),(DL)BDY(m)) ) { |
|
case 0: |
|
_FREEDL(BDY(m)); m = NEXT(m); |
|
prev = cur; cur = NEXT(cur); |
|
break; |
|
case 1: |
|
t = NEXT(cur); NEXT(cur) = m; m = t; |
|
prev = cur; cur = NEXT(cur); |
|
break; |
|
case -1: |
|
NEXT(prev) = m; m = cur; |
|
prev = NEXT(prev); cur = NEXT(prev); |
|
break; |
|
} |
|
} |
|
if ( !cur ) |
|
NEXT(prev) = m; |
|
return top; |
} |
} |
sugar = g->sugar; |
} |
n = g->nv; |
|
for ( d = 0; g; ) { |
/* XXX : bellow should be placed in another file */ |
for ( h_reducible = 0, l = b; l; l = NEXT(l) ) { |
|
if ( dp_redble(g,p = ps[(int)BDY(l)]) ) { |
void dpto_dp(); |
h_reducible = 1; |
void _dptodp(); |
psugar = (BDY(g)->dl->td - BDY(p)->dl->td) + p->sugar; |
void _adddl_dup(); |
_dp_red_mod_destructive(g,p,mod,&u); g = u; |
void adddl_destructive(); |
sugar = MAX(sugar,psugar); |
void _muldm_dup(); |
if ( !g ) { |
void _free_dp(); |
if ( d ) |
void _comm_muld_dup(); |
d->sugar = sugar; |
void _weyl_muld_dup(); |
_dptodp(d,rp); _free_dp(d); return; |
void _weyl_mulmm_dup(); |
|
void _weyl_muldm_dup(); |
|
void _comm_muld_tab(); |
|
void _comm_muld_tab_destructive(); |
|
|
|
/* merge p1 and p2 into pr */ |
|
|
|
void _addd_destructive(vl,p1,p2,pr) |
|
VL vl; |
|
DP p1,p2,*pr; |
|
{ |
|
int n; |
|
MP m1,m2,mr,mr0,s; |
|
P t; |
|
|
|
if ( !p1 ) |
|
*pr = p2; |
|
else if ( !p2 ) |
|
*pr = p1; |
|
else { |
|
for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) |
|
switch ( (*cmpdl)(n,m1->dl,m2->dl) ) { |
|
case 0: |
|
addp(vl,C(m1),C(m2),&t); |
|
s = m1; m1 = NEXT(m1); |
|
if ( t ) { |
|
_NEXTMP2(mr0,mr,s); C(mr) = t; |
|
} else { |
|
_FREEDL(s->dl); _FREEMP(s); |
|
} |
|
s = m2; m2 = NEXT(m2); _FREEDL(s->dl); _FREEMP(s); |
|
break; |
|
case 1: |
|
s = m1; m1 = NEXT(m1); _NEXTMP2(mr0,mr,s); |
|
break; |
|
case -1: |
|
s = m2; m2 = NEXT(m2); _NEXTMP2(mr0,mr,s); |
|
break; |
|
} |
|
if ( !mr0 ) |
|
if ( m1 ) |
|
mr0 = m1; |
|
else if ( m2 ) |
|
mr0 = m2; |
|
else { |
|
*pr = 0; |
|
return; |
|
} |
|
else if ( m1 ) |
|
NEXT(mr) = m1; |
|
else if ( m2 ) |
|
NEXT(mr) = m2; |
|
else |
|
NEXT(mr) = 0; |
|
_MKDP(NV(p1),mr0,*pr); |
|
if ( *pr ) |
|
(*pr)->sugar = MAX(p1->sugar,p2->sugar); |
|
_FREEDP(p1); _FREEDP(p2); |
|
} |
|
} |
|
|
|
void _muld_dup(vl,p1,p2,pr) |
|
VL vl; |
|
DP p1,p2,*pr; |
|
{ |
|
if ( !do_weyl ) |
|
_comm_muld_dup(vl,p1,p2,pr); |
|
else |
|
_weyl_muld_dup(vl,p1,p2,pr); |
|
} |
|
|
|
void _comm_muld_dup(vl,p1,p2,pr) |
|
VL vl; |
|
DP p1,p2,*pr; |
|
{ |
|
MP m; |
|
DP s,t,u; |
|
int i,l,l1; |
|
static MP *w; |
|
static int wlen; |
|
|
|
if ( !p1 || !p2 ) |
|
*pr = 0; |
|
else { |
|
for ( m = BDY(p1), l1 = 0; m; m = NEXT(m), l1++ ); |
|
for ( m = BDY(p2), l = 0; m; m = NEXT(m), l++ ); |
|
if ( l1 < l ) { |
|
t = p1; p1 = p2; p2 = t; |
|
l = l1; |
|
} |
|
if ( l > wlen ) { |
|
if ( w ) GC_free(w); |
|
w = (MP *)MALLOC(l*sizeof(MP)); |
|
wlen = l; |
|
} |
|
for ( m = BDY(p2), i = 0; i < l; m = NEXT(m), i++ ) |
|
w[i] = m; |
|
for ( s = 0, i = l-1; i >= 0; i-- ) { |
|
_muldm_dup(vl,p1,w[i],&t); _addd_destructive(vl,s,t,&u); s = u; |
|
} |
|
bzero(w,l*sizeof(MP)); |
|
*pr = s; |
|
} |
|
} |
|
|
|
void _weyl_muld_dup(vl,p1,p2,pr) |
|
VL vl; |
|
DP p1,p2,*pr; |
|
{ |
|
MP m; |
|
DP s,t,u; |
|
int i,l,l1; |
|
static MP *w; |
|
static int wlen; |
|
|
|
if ( !p1 || !p2 ) |
|
*pr = 0; |
|
else { |
|
for ( m = BDY(p1), l = 0; m; m = NEXT(m), l++ ); |
|
if ( l > wlen ) { |
|
if ( w ) GC_free(w); |
|
w = (MP *)MALLOC(l*sizeof(MP)); |
|
wlen = l; |
|
} |
|
for ( m = BDY(p1), i = 0; i < l; m = NEXT(m), i++ ) |
|
w[i] = m; |
|
for ( s = 0, i = l-1; i >= 0; i-- ) { |
|
_weyl_muldm_dup(vl,w[i],p2,&t); _addd_destructive(vl,s,t,&u); s = u; |
|
} |
|
bzero(w,l*sizeof(MP)); |
|
*pr = s; |
|
} |
|
} |
|
|
|
void _muldm_dup(vl,p,m0,pr) |
|
VL vl; |
|
DP p; |
|
MP m0; |
|
DP *pr; |
|
{ |
|
MP m,mr,mr0; |
|
DL d,dt,dm; |
|
P c; |
|
int n,r,i; |
|
int *pt,*p1,*p2; |
|
|
|
if ( !p ) |
|
*pr = 0; |
|
else { |
|
for ( mr0 = 0, m = BDY(p), c = C(m0), d = m0->dl, n = NV(p); |
|
m; m = NEXT(m) ) { |
|
_NEXTMP(mr0,mr); |
|
mulp(vl,C(m),c,&C(mr)); |
|
_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); |
|
if ( *pr ) |
|
(*pr)->sugar = p->sugar + m0->dl->td; |
|
} |
|
} |
|
|
|
void _weyl_muldm_dup(vl,m0,p,pr) |
|
VL vl; |
|
MP m0; |
|
DP p; |
|
DP *pr; |
|
{ |
|
DP r,t,t1; |
|
MP m; |
|
DL d0; |
|
int n,n2,l,i,j,tlen; |
|
static MP *w,*psum; |
|
static struct cdl *tab; |
|
static int wlen; |
|
static int rtlen; |
|
|
|
if ( !p ) |
|
*pr = 0; |
|
else { |
|
for ( m = BDY(p), l = 0; m; m = NEXT(m), l++ ); |
|
if ( l > wlen ) { |
|
if ( w ) GC_free(w); |
|
w = (MP *)MALLOC(l*sizeof(MP)); |
|
wlen = l; |
|
} |
|
for ( m = BDY(p), i = 0; i < l; m = NEXT(m), i++ ) |
|
w[i] = m; |
|
n = NV(p); n2 = n>>1; |
|
d0 = m0->dl; |
|
|
|
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 cdl *)MALLOC(rtlen*sizeof(struct cdl)); |
|
psum = (MP *)MALLOC(rtlen*sizeof(MP)); |
|
} |
|
bzero(psum,tlen*sizeof(MP)); |
|
for ( i = l-1; i >= 0; i-- ) { |
|
bzero(tab,tlen*sizeof(struct cdl)); |
|
_weyl_mulmm_dup(vl,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) = tab[j].c; NEXT(m) = psum[j]; |
|
psum[j] = m; |
} |
} |
break; |
|
} |
} |
} |
} |
if ( !h_reducible ) { |
for ( j = tlen-1, r = 0; j >= 0; j-- ) |
/* head term is not reducible */ |
if ( psum[j] ) { |
if ( !full ) { |
_MKDP(n,psum[j],t); _addd_destructive(vl,r,t,&t1); r = t1; |
if ( g ) |
} |
g->sugar = sugar; |
if ( r ) |
_dptodp(g,rp); _free_dp(g); return; |
r->sugar = p->sugar + m0->dl->td; |
} else { |
*pr = r; |
m = BDY(g); |
} |
if ( NEXT(m) ) { |
} |
BDY(g) = NEXT(m); NEXT(m) = 0; |
|
} else { |
/* m0 = x0^d0*x1^d1*... * dx0^d(n/2)*dx1^d(n/2+1)*... */ |
FREEDP(g); g = 0; |
|
|
void _weyl_mulmm_dup(vl,m0,m1,n,rtab,rtablen) |
|
VL vl; |
|
MP m0,m1; |
|
int n; |
|
struct cdl *rtab; |
|
int rtablen; |
|
{ |
|
MP m,mr,mr0; |
|
DP r,t,t1; |
|
P c; |
|
int c0,c1,cc; |
|
DL d,d0,d1,dt; |
|
int i,j,a,b,k,l,n2,s,min,h,curlen; |
|
struct cdl *p; |
|
static P *ctab; |
|
static struct cdl *tab; |
|
static int tablen; |
|
static struct cdl *tmptab; |
|
static int tmptablen; |
|
|
|
if ( !m0 || !m1 ) { |
|
rtab[0].c = 0; |
|
rtab[0].d = 0; |
|
return; |
|
} |
|
mulp(vl,C(m0),C(m1),&c); |
|
d0 = m0->dl; d1 = m1->dl; |
|
n2 = n>>1; |
|
curlen = 1; |
|
|
|
_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 cdl *)MALLOC(rtablen*sizeof(struct cdl)); |
|
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]; |
|
if ( !k || !l ) { |
|
a += l; |
|
b += k; |
|
s = a+b; |
|
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; |
} |
} |
if ( d ) { |
|
for ( mrd = BDY(d); NEXT(mrd); mrd = NEXT(mrd) ); |
|
NEXT(mrd) = m; |
|
} else { |
|
_MKDP(n,m,d); |
|
} |
|
} |
} |
|
curlen *= k+1; |
|
continue; |
} |
} |
|
if ( k+1 > tablen ) { |
|
if ( tab ) GC_free(tab); |
|
if ( ctab ) GC_free(ctab); |
|
tablen = k+1; |
|
tab = (struct cdl *)MALLOC(tablen*sizeof(struct cdl)); |
|
ctab = (P *)MALLOC(tablen*sizeof(P)); |
|
} |
|
/* degree of xi^a*(Di^k*xi^l)*Di^b */ |
|
s = a+k+l+b; |
|
/* compute xi^a*(Di^k*xi^l)*Di^b */ |
|
min = MIN(k,l); |
|
mkwc(k,l,ctab); |
|
bzero(tab,(k+1)*sizeof(struct cdl)); |
|
/* n&1 != 0 => homogenized computation; dx-xd=h^2 */ |
|
if ( n & 1 ) |
|
for ( j = 0; j <= min; j++ ) { |
|
_NEWDL(d,n); |
|
d->d[i] = l-j+a; d->d[n2+i] = k-j+b; |
|
d->td = s; |
|
d->d[n-1] = s-(d->d[i]+d->d[n2+i]); |
|
tab[j].d = d; |
|
tab[j].c = ctab[j]; |
|
} |
|
else |
|
for ( j = 0; j <= min; j++ ) { |
|
_NEWDL(d,n); |
|
d->d[i] = l-j+a; d->d[n2+i] = k-j+b; |
|
d->td = d->d[i]+d->d[n2+i]; /* XXX */ |
|
tab[j].d = d; |
|
tab[j].c = ctab[j]; |
|
} |
|
#if 0 |
|
_comm_muld_tab(vl,n,rtab,curlen,tab,k+1,tmptab); |
|
for ( j = 0; j < curlen; j++ ) |
|
if ( rtab[j].d ) { _FREEDL(rtab[j].d); } |
|
for ( j = 0; j <= min; j++ ) |
|
if ( tab[j].d ) { _FREEDL(tab[j].d); } |
|
curlen *= k+1; |
|
bcopy(tmptab,rtab,curlen*sizeof(struct cdl)); |
|
#else |
|
_comm_muld_tab_destructive(vl,n,rtab,curlen,tab,k+1); |
|
for ( j = 0; j <= min; j++ ) |
|
if ( tab[j].d ) { _FREEDL(tab[j].d); } |
|
curlen *= k+1; |
|
#endif |
} |
} |
if ( d ) |
} |
d->sugar = sugar; |
|
_dptodp(d,rp); _free_dp(d); |
/* direct product of two cdl tables |
|
rt[] = [ |
|
t[0]*t1[0],...,t[n-1]*t1[0], |
|
t[0]*t1[1],...,t[n-1]*t1[1], |
|
... |
|
t[0]*t1[n1-1],...,t[n-1]*t1[n1-1] |
|
] |
|
*/ |
|
|
|
void _comm_muld_tab(vl,nv,t,n,t1,n1,rt) |
|
VL vl; |
|
int nv; |
|
struct cdl *t; |
|
int n; |
|
struct cdl *t1; |
|
int n1; |
|
struct cdl *rt; |
|
{ |
|
int i,j; |
|
struct cdl *p; |
|
P c; |
|
DL d; |
|
|
|
bzero(rt,n*n1*sizeof(struct cdl)); |
|
for ( j = 0, p = rt; j < n1; j++ ) { |
|
c = t1[j].c; |
|
d = t1[j].d; |
|
if ( !c ) |
|
break; |
|
for ( i = 0; i < n; i++, p++ ) { |
|
if ( t[i].c ) { |
|
mulp(vl,t[i].c,c,&p->c); |
|
_adddl_dup(nv,t[i].d,d,&p->d); |
|
} |
|
} |
|
} |
|
} |
|
|
|
void _comm_muld_tab_destructive(vl,nv,t,n,t1,n1) |
|
VL vl; |
|
int nv; |
|
struct cdl *t; |
|
int n; |
|
struct cdl *t1; |
|
int n1; |
|
{ |
|
int i,j; |
|
struct cdl *p; |
|
P c; |
|
DL d; |
|
|
|
for ( j = 1, p = t+n; j < n1; j++ ) { |
|
c = t1[j].c; |
|
d = t1[j].d; |
|
if ( !c ) |
|
break; |
|
for ( i = 0; i < n; i++, p++ ) { |
|
if ( t[i].c ) { |
|
mulp(vl,t[i].c,c,&p->c); |
|
_adddl_dup(nv,t[i].d,d,&p->d); |
|
} |
|
} |
|
} |
|
c = t1[0].c; |
|
d = t1[0].d; |
|
for ( i = 0, p = t; i < n; i++, p++ ) |
|
if ( t[i].c ) { |
|
mulp(vl,t[i].c,c,&p->c); |
|
/* t[i].d += d */ |
|
adddl_destructive(nv,t[i].d,d); |
|
} |
} |
} |