| version 1.7, 2001/01/11 02:26:49 |
version 1.12, 2002/01/28 00:54:42 |
|
|
| * 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 1.6 2000/12/05 08:29:44 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/engine/_distm.c,v 1.11 2001/10/09 01:36:11 noro Exp $ |
| */ |
*/ |
| #include "ca.h" |
#include "ca.h" |
| #include "inline.h" |
#include "inline.h" |
|
|
| extern int (*cmpdl)(); |
extern int (*cmpdl)(); |
| extern int do_weyl; |
extern int do_weyl; |
| |
|
| void dpto_dp(); |
|
| void _dptodp(); |
|
| void _adddl_dup(); |
|
| void adddl_destructive(); |
|
| void _mulmdm_dup(); |
|
| void _free_dp(); |
|
| void _comm_mulmd_dup(); |
|
| void _weyl_mulmd_dup(); |
|
| void _weyl_mulmmm_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; |
| |
|
| |
void GC_gcollect(); |
| |
|
| void _free_private_storage() |
void _free_private_storage() |
| { |
{ |
| _mp_free_list = 0; |
_mp_free_list = 0; |
|
|
| |
|
| /* 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; |
| Line 122 void _DP_alloc() |
|
| Line 115 void _DP_alloc() |
|
| |
|
| /* merge p1 and p2 into pr */ |
/* merge p1 and p2 into pr */ |
| |
|
| void _addmd_destructive(mod,p1,p2,pr) |
void _addmd_destructive(int mod,DP p1,DP p2,DP *pr) |
| int mod; |
|
| DP p1,p2,*pr; |
|
| { |
{ |
| int n; |
int n; |
| MP m1,m2,mr,mr0,s; |
MP m1,m2,mr,mr0,s; |
|
|
| } |
} |
| } |
} |
| |
|
| void _mulmd_dup(mod,p1,p2,pr) |
void _mulmd_dup(int mod,DP p1,DP p2,DP *pr) |
| int mod; |
|
| DP p1,p2,*pr; |
|
| { |
{ |
| if ( !do_weyl ) |
if ( !do_weyl ) |
| _comm_mulmd_dup(mod,p1,p2,pr); |
_comm_mulmd_dup(mod,p1,p2,pr); |
|
|
| _weyl_mulmd_dup(mod,p1,p2,pr); |
_weyl_mulmd_dup(mod,p1,p2,pr); |
| } |
} |
| |
|
| void _comm_mulmd_dup(mod,p1,p2,pr) |
void _comm_mulmd_dup(int mod,DP p1,DP p2,DP *pr) |
| int mod; |
|
| DP p1,p2,*pr; |
|
| { |
{ |
| MP m; |
MP m; |
| DP s,t,u; |
DP s,t,u; |
|
|
| } |
} |
| } |
} |
| |
|
| void _weyl_mulmd_dup(mod,p1,p2,pr) |
void _weyl_mulmd_dup(int mod,DP p1,DP p2,DP *pr) |
| 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_dup(mod,p,m0,pr) |
void _mulmdm_dup(int mod,DP p,MP m0,DP *pr) |
| int mod; |
|
| DP p; |
|
| MP m0; |
|
| DP *pr; |
|
| { |
{ |
| MP m,mr,mr0; |
MP m,mr,mr0; |
| DL d,dt,dm; |
DL d,dt,dm; |
| int c,n,r,i; |
int c,n,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_mulmmm_dup_bug(); |
void _weyl_mulmdm_dup(int mod,MP m0,DP p,DP *pr) |
| |
|
| void _weyl_mulmdm_dup(mod,m0,p,pr) |
|
| int mod; |
|
| MP m0; |
|
| DP p; |
|
| 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_dup(mod,m0,m1,n,rtab,rtablen) |
void _weyl_mulmmm_dup(int mod,MP m0,MP m1,int n,struct cdlm *rtab,int rtablen) |
| int mod; |
|
| MP m0,m1; |
|
| int n; |
|
| struct cdlm *rtab; |
|
| int rtablen; |
|
| { |
{ |
| MP m,mr,mr0; |
int c,c0,c1; |
| DP r,t,t1; |
|
| int c,c0,c1,cc; |
|
| DL d,d0,d1,dt; |
DL d,d0,d1,dt; |
| int i,j,a,b,k,l,n2,s,min,h,curlen; |
int i,j,a,b,k,l,n2,s,min,curlen; |
| struct cdlm *p; |
struct cdlm *p; |
| static int *ctab; |
static int *ctab; |
| static struct cdlm *tab; |
static struct cdlm *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 */ |
| |
a += l; |
| |
b += k; |
| |
s = MUL_WEIGHT(a,i)+MUL_WEIGHT(b,n2+i); |
| |
|
| if ( !k || !l ) { |
if ( !k || !l ) { |
| a += l; |
|
| b += k; |
|
| s = a+b; |
|
| for ( j = 0, p = rtab; j < curlen; j++, p++ ) { |
for ( j = 0, p = rtab; j < curlen; j++, p++ ) { |
| if ( p->c ) { |
if ( p->c ) { |
| dt = p->d; |
dt = p->d; |
|
|
| tab = (struct cdlm *)MALLOC(tablen*sizeof(struct cdlm)); |
tab = (struct cdlm *)MALLOC(tablen*sizeof(struct cdlm)); |
| ctab = (int *)MALLOC(tablen*sizeof(int)); |
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 */ |
/* compute xi^a*(Di^k*xi^l)*Di^b */ |
| min = MIN(k,l); |
min = MIN(k,l); |
| mkwcm(k,l,mod,ctab); |
mkwcm(k,l,mod,ctab); |
|
|
| if ( n & 1 ) |
if ( n & 1 ) |
| for ( j = 0; j <= min; j++ ) { |
for ( j = 0; j <= min; j++ ) { |
| _NEWDL(d,n); |
_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)); |
| tab[j].d = d; |
tab[j].d = d; |
| tab[j].c = ctab[j]; |
tab[j].c = ctab[j]; |
| } |
} |
| else |
else |
| for ( j = 0; j <= min; j++ ) { |
for ( j = 0; j <= min; j++ ) { |
| _NEWDL(d,n); |
_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 */ |
| tab[j].d = d; |
tab[j].d = d; |
| tab[j].c = ctab[j]; |
tab[j].c = ctab[j]; |
| } |
} |
|
|
| ] |
] |
| */ |
*/ |
| |
|
| void _comm_mulmd_tab(mod,nv,t,n,t1,n1,rt) |
void _comm_mulmd_tab(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1,struct cdlm *rt) |
| int mod; |
|
| int nv; |
|
| struct cdlm *t; |
|
| int n; |
|
| struct cdlm *t1; |
|
| int n1; |
|
| struct cdlm *rt; |
|
| { |
{ |
| int i,j; |
int i,j; |
| struct cdlm *p; |
struct cdlm *p; |
| Line 494 struct cdlm *rt; |
|
| Line 458 struct cdlm *rt; |
|
| } |
} |
| } |
} |
| |
|
| void _comm_mulmd_tab_destructive(mod,nv,t,n,t1,n1) |
void _comm_mulmd_tab_destructive(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1) |
| int mod; |
|
| int nv; |
|
| struct cdlm *t; |
|
| int n; |
|
| struct cdlm *t1; |
|
| int n1; |
|
| { |
{ |
| int i,j; |
int i,j; |
| struct cdlm *p; |
struct cdlm *p; |
|
|
| } |
} |
| } |
} |
| |
|
| void dlto_dl(d,dr) |
void dlto_dl(DL d,DL *dr) |
| DL d; |
|
| DL *dr; |
|
| { |
{ |
| int i,n; |
int i,n; |
| DL t; |
DL t; |
|
|
| t->d[i] = d->d[i]; |
t->d[i] = d->d[i]; |
| } |
} |
| |
|
| void _dltodl(d,dr) |
void _dltodl(DL d,DL *dr) |
| DL d; |
|
| DL *dr; |
|
| { |
{ |
| int i,n; |
int i,n; |
| DL t; |
DL t; |
|
|
| t->d[i] = d->d[i]; |
t->d[i] = d->d[i]; |
| } |
} |
| |
|
| void _adddl_dup(n,d1,d2,dr) |
void _adddl_dup(int n,DL d1,DL d2,DL *dr) |
| int n; |
|
| DL d1,d2; |
|
| DL *dr; |
|
| { |
{ |
| DL dt; |
DL dt; |
| int i; |
int i; |
|
|
| dt->d[i] = d1->d[i]+d2->d[i]; |
dt->d[i] = d1->d[i]+d2->d[i]; |
| } |
} |
| |
|
| void _free_dlarray(a,n) |
void _free_dlarray(DL *a,int n) |
| DL *a; |
|
| int n; |
|
| { |
{ |
| int i; |
int i; |
| |
|
| for ( i = 0; i < n; i++ ) { _FREEDL(a[i]); } |
for ( i = 0; i < n; i++ ) { _FREEDL(a[i]); } |
| } |
} |
| |
|
| void _free_dp(f) |
void _free_dp(DP f) |
| DP f; |
|
| { |
{ |
| MP m,s; |
MP m,s; |
| |
|
|
|
| _FREEDP(f); |
_FREEDP(f); |
| } |
} |
| |
|
| void dpto_dp(p,r) |
void dpto_dp(DP p,DP *r) |
| DP p; |
|
| DP *r; |
|
| { |
{ |
| MP m,mr0,mr; |
MP m,mr0,mr; |
| DL t; |
DL t; |
|
|
| } |
} |
| } |
} |
| |
|
| void _dptodp(p,r) |
void _dptodp(DP p,DP *r) |
| DP p; |
|
| DP *r; |
|
| { |
{ |
| MP m,mr0,mr; |
MP m,mr0,mr; |
| |
|
|
|
| * return : a merged list |
* return : a merged list |
| */ |
*/ |
| |
|
| NODE _symb_merge(m1,m2,n) |
NODE _symb_merge(NODE m1,NODE m2,int n) |
| NODE m1,m2; |
|
| int n; |
|
| { |
{ |
| NODE top,prev,cur,m,t; |
NODE top,prev,cur,m,t; |
| |
|
|
|
| NEXT(prev) = m; |
NEXT(prev) = m; |
| return top; |
return top; |
| } |
} |
| |
} |
| |
|
| |
/* merge p1 and p2 into pr */ |
| |
|
| |
void _addd_destructive(VL vl,DP p1,DP p2,DP *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 vl,DP p1,DP p2,DP *pr) |
| |
{ |
| |
if ( !do_weyl ) |
| |
_comm_muld_dup(vl,p1,p2,pr); |
| |
else |
| |
_weyl_muld_dup(vl,p1,p2,pr); |
| |
} |
| |
|
| |
void _comm_muld_dup(VL vl,DP p1,DP p2,DP *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 vl,DP p1,DP p2,DP *pr) |
| |
{ |
| |
MP m; |
| |
DP s,t,u; |
| |
int i,l; |
| |
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 vl,DP p,MP m0,DP *pr) |
| |
{ |
| |
MP m,mr,mr0; |
| |
DL d,dt,dm; |
| |
P c; |
| |
int n,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 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; |
| |
} |
| |
} |
| |
} |
| |
for ( j = tlen-1, r = 0; j >= 0; j-- ) |
| |
if ( psum[j] ) { |
| |
_MKDP(n,psum[j],t); _addd_destructive(vl,r,t,&t1); r = t1; |
| |
} |
| |
if ( r ) |
| |
r->sugar = p->sugar + m0->dl->td; |
| |
*pr = r; |
| |
} |
| |
} |
| |
|
| |
/* m0 = x0^d0*x1^d1*... * dx0^d(n/2)*dx1^d(n/2+1)*... */ |
| |
|
| |
void _weyl_mulmm_dup(VL vl,MP m0,MP m1,int n,struct cdl *rtab,int rtablen) |
| |
{ |
| |
P c; |
| |
DL d,d0,d1,dt; |
| |
int i,j,a,b,k,l,n2,s,min,curlen; |
| |
struct cdl *p; |
| |
static Q *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]; |
| |
|
| |
/* 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 cdl *)MALLOC(tablen*sizeof(struct cdl)); |
| |
ctab = (Q *)MALLOC(tablen*sizeof(P)); |
| |
} |
| |
/* 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] = 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 = (P)ctab[j]; |
| |
} |
| |
else |
| |
for ( j = 0; j <= min; j++ ) { |
| |
_NEWDL(d,n); |
| |
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 = (P)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 |
| |
} |
| |
} |
| |
|
| |
/* 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 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 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); |
| |
} |
| } |
} |