version 1.7, 2000/12/05 06:59:16 |
version 1.10, 2002/01/28 00:54:43 |
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* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* |
* |
* $OpenXM: OpenXM_contrib2/asir2000/engine/distm.c,v 1.6 2000/08/22 05:04:05 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/engine/distm.c,v 1.9 2001/10/09 01:36:11 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "inline.h" |
#include "inline.h" |
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extern int (*cmpdl)(); |
extern int (*cmpdl)(); |
extern int do_weyl; |
extern int do_weyl; |
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void comm_mulmd(); |
void ptomd(VL vl,int mod,VL dvl,P p,DP *pr) |
void weyl_mulmd(); |
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void weyl_mulmdm(); |
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void weyl_mulmmm(); |
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void _comm_mulmd(); |
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void _weyl_mulmd(); |
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void _weyl_mulmmm(); |
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void _weyl_mulmdm(); |
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void ptomd(vl,mod,dvl,p,pr) |
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VL vl,dvl; |
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int mod; |
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P p; |
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DP *pr; |
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{ |
{ |
P t; |
P t; |
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mptomd(vl,mod,dvl,t,pr); |
mptomd(vl,mod,dvl,t,pr); |
} |
} |
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void mptomd(vl,mod,dvl,p,pr) |
void mptomd(VL vl,int mod,VL dvl,P p,DP *pr) |
VL vl,dvl; |
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int mod; |
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P p; |
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DP *pr; |
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{ |
{ |
int n,i; |
int n,i; |
VL tvl; |
VL tvl; |
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} 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)); |
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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; |
} |
} |
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} |
} |
} |
} |
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void mdtop(vl,mod,dvl,p,pr) |
void mdtop(VL vl,int mod,VL dvl,DP p,P *pr) |
VL vl,dvl; |
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int mod; |
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DP p; |
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P *pr; |
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{ |
{ |
int n,i; |
int n,i; |
DL d; |
DL d; |
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} |
} |
} |
} |
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void addmd(vl,mod,p1,p2,pr) |
void addmd(VL vl,int mod,DP p1,DP p2,DP *pr) |
VL vl; |
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int mod; |
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DP p1,p2,*pr; |
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{ |
{ |
int n; |
int n; |
MP m1,m2,mr,mr0; |
MP m1,m2,mr,mr0; |
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} |
} |
} |
} |
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void submd(vl,mod,p1,p2,pr) |
void submd(VL vl,int mod,DP p1,DP p2,DP *pr) |
VL vl; |
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int mod; |
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DP p1,p2,*pr; |
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{ |
{ |
DP t; |
DP t; |
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} |
} |
} |
} |
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void chsgnmd(mod,p,pr) |
void chsgnmd(int mod,DP p,DP *pr) |
int mod; |
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DP p,*pr; |
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{ |
{ |
MP m,mr,mr0; |
MP m,mr,mr0; |
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} |
} |
} |
} |
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void mulmd(vl,mod,p1,p2,pr) |
void mulmd(VL vl,int mod,DP p1,DP p2,DP *pr) |
VL vl; |
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int mod; |
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DP p1,p2,*pr; |
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{ |
{ |
if ( !do_weyl ) |
if ( !do_weyl ) |
comm_mulmd(vl,mod,p1,p2,pr); |
comm_mulmd(vl,mod,p1,p2,pr); |
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weyl_mulmd(vl,mod,p1,p2,pr); |
weyl_mulmd(vl,mod,p1,p2,pr); |
} |
} |
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void comm_mulmd(vl,mod,p1,p2,pr) |
void comm_mulmd(VL vl,int mod,DP p1,DP p2,DP *pr) |
VL vl; |
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int mod; |
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DP p1,p2,*pr; |
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{ |
{ |
MP m; |
MP m; |
DP s,t,u; |
DP s,t,u; |
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} |
} |
} |
} |
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void weyl_mulmd(vl,mod,p1,p2,pr) |
void weyl_mulmd(VL vl,int mod,DP p1,DP p2,DP *pr) |
VL vl; |
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int mod; |
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DP p1,p2,*pr; |
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{ |
{ |
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; |
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} |
} |
} |
} |
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void mulmdm(vl,mod,p,m0,pr) |
void mulmdm(VL vl,int mod,DP p,MP m0,DP *pr) |
VL vl; |
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int mod; |
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DP p; |
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MP m0; |
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DP *pr; |
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{ |
{ |
MP m,mr,mr0; |
MP m,mr,mr0; |
P c; |
P c; |
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} |
} |
} |
} |
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void weyl_mulmdm(vl,mod,p,m0,pr) |
void weyl_mulmdm(VL vl,int mod,DP p,MP m0,DP *pr) |
VL vl; |
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int mod; |
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DP p; |
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MP m0; |
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DP *pr; |
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{ |
{ |
DP r,t,t1; |
DP r,t,t1; |
MP m; |
MP m; |
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/* 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)*... */ |
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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; |
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int mod; |
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MP m0,m1; |
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int n; |
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DP *pr; |
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{ |
{ |
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; |
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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]; |
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/* 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; |
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b += k; |
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s = MUL_WEIGHT(a,i)+MUL_WEIGHT(b,n2+i); |
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/* 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); |
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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; |
} |
} |
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} |
} |
} |
} |
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void mulmdc(vl,mod,p,c,pr) |
void mulmdc(VL vl,int mod,DP p,P c,DP *pr) |
VL vl; |
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int mod; |
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DP p; |
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P c; |
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DP *pr; |
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{ |
{ |
MP m,mr,mr0; |
MP m,mr,mr0; |
int t; |
int t; |
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} |
} |
} |
} |
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void divsmdc(vl,mod,p,c,pr) |
void divsmdc(VL vl,int mod,DP p,P c,DP *pr) |
VL vl; |
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int mod; |
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DP p; |
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P c; |
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DP *pr; |
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{ |
{ |
MP m,mr,mr0; |
MP m,mr,mr0; |
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} |
} |
} |
} |
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void _dtop_mod(vl,dvl,p,pr) |
void _dtop_mod(VL vl,VL dvl,DP p,P *pr) |
VL vl,dvl; |
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DP p; |
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P *pr; |
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{ |
{ |
int n,i; |
int n,i; |
DL d; |
DL d; |
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} |
} |
} |
} |
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void _dp_mod(p,mod,subst,rp) |
void _dp_mod(DP p,int mod,NODE subst,DP *rp) |
DP p; |
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int mod; |
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NODE subst; |
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DP *rp; |
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{ |
{ |
MP m,mr,mr0; |
MP m,mr,mr0; |
P t,s; |
P t,s; |
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} |
} |
} |
} |
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void _dp_monic(p,mod,rp) |
void _dp_monic(DP p,int mod,DP *rp) |
DP p; |
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int mod; |
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DP *rp; |
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{ |
{ |
MP m,mr,mr0; |
MP m,mr,mr0; |
int c,c1; |
int c,c1; |
NODE tn; |
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if ( !p ) |
if ( !p ) |
*rp = 0; |
*rp = 0; |
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} |
} |
} |
} |
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void _printdp(d) |
void _printdp(DP d) |
DP d; |
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{ |
{ |
int n,i; |
int n,i; |
MP m; |
MP m; |
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if ( NEXT(m) ) |
if ( NEXT(m) ) |
printf("+"); |
printf("+"); |
} |
} |
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} |
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/* merge p1 and p2 into pr */ |
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void addmd_destructive(int mod,DP p1,DP p2,DP *pr) |
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{ |
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int n; |
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MP m1,m2,mr,mr0,s; |
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int t; |
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if ( !p1 ) |
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*pr = p2; |
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else if ( !p2 ) |
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*pr = p1; |
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else { |
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for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) |
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switch ( (*cmpdl)(n,m1->dl,m2->dl) ) { |
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case 0: |
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t = (ITOS(C(m1))+ITOS(C(m2))) - mod; |
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if ( t < 0 ) |
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t += mod; |
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s = m1; m1 = NEXT(m1); |
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if ( t ) { |
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NEXTMP2(mr0,mr,s); C(mr) = STOI(t); |
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} |
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s = m2; m2 = NEXT(m2); |
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break; |
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case 1: |
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s = m1; m1 = NEXT(m1); NEXTMP2(mr0,mr,s); |
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break; |
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case -1: |
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s = m2; m2 = NEXT(m2); NEXTMP2(mr0,mr,s); |
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break; |
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} |
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if ( !mr0 ) |
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if ( m1 ) |
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mr0 = m1; |
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else if ( m2 ) |
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mr0 = m2; |
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else { |
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*pr = 0; |
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return; |
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} |
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else if ( m1 ) |
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NEXT(mr) = m1; |
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else if ( m2 ) |
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NEXT(mr) = m2; |
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else |
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NEXT(mr) = 0; |
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MKDP(NV(p1),mr0,*pr); |
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if ( *pr ) |
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(*pr)->sugar = MAX(p1->sugar,p2->sugar); |
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} |
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} |
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void mulmd_dup(int mod,DP p1,DP p2,DP *pr) |
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{ |
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if ( !do_weyl ) |
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comm_mulmd_dup(mod,p1,p2,pr); |
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else |
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weyl_mulmd_dup(mod,p1,p2,pr); |
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} |
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void comm_mulmd_dup(int mod,DP p1,DP p2,DP *pr) |
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{ |
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MP m; |
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DP s,t,u; |
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int i,l,l1; |
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static MP *w; |
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static int wlen; |
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if ( !p1 || !p2 ) |
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*pr = 0; |
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else { |
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for ( m = BDY(p1), l1 = 0; m; m = NEXT(m), l1++ ); |
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for ( m = BDY(p2), l = 0; m; m = NEXT(m), l++ ); |
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if ( l1 < l ) { |
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t = p1; p1 = p2; p2 = t; |
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l = l1; |
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} |
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if ( l > wlen ) { |
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if ( w ) GC_free(w); |
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w = (MP *)MALLOC(l*sizeof(MP)); |
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wlen = l; |
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} |
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for ( m = BDY(p2), i = 0; i < l; m = NEXT(m), i++ ) |
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w[i] = m; |
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for ( s = 0, i = l-1; i >= 0; i-- ) { |
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mulmdm_dup(mod,p1,w[i],&t); addmd_destructive(mod,s,t,&u); s = u; |
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} |
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bzero(w,l*sizeof(MP)); |
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*pr = s; |
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} |
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} |
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void weyl_mulmd_dup(int mod,DP p1,DP p2,DP *pr) |
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{ |
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MP m; |
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DP s,t,u; |
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int i,l; |
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static MP *w; |
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static int wlen; |
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if ( !p1 || !p2 ) |
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*pr = 0; |
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else { |
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for ( m = BDY(p1), l = 0; m; m = NEXT(m), l++ ); |
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if ( l > wlen ) { |
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if ( w ) GC_free(w); |
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w = (MP *)MALLOC(l*sizeof(MP)); |
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wlen = l; |
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} |
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for ( m = BDY(p1), i = 0; i < l; m = NEXT(m), i++ ) |
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w[i] = m; |
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for ( s = 0, i = l-1; i >= 0; i-- ) { |
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weyl_mulmdm_dup(mod,w[i],p2,&t); addmd_destructive(mod,s,t,&u); s = u; |
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} |
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bzero(w,l*sizeof(MP)); |
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*pr = s; |
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} |
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} |
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void mulmdm_dup(int mod,DP p,MP m0,DP *pr) |
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{ |
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MP m,mr,mr0; |
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DL d,dt,dm; |
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int c,n,i; |
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int *pt,*p1,*p2; |
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if ( !p ) |
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*pr = 0; |
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else { |
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for ( mr0 = 0, m = BDY(p), c = ITOS(C(m0)), d = m0->dl, n = NV(p); |
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m; m = NEXT(m) ) { |
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NEXTMP(mr0,mr); |
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C(mr) = STOI(dmar(ITOS(C(m)),c,0,mod)); |
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NEWDL_NOINIT(dt,n); mr->dl = dt; |
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dm = m->dl; |
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dt->td = d->td + dm->td; |
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for ( i = 0, pt = dt->d, p1=d->d, p2 = dm->d; i < n; i++ ) |
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*pt++ = *p1++ + *p2++; |
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} |
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NEXT(mr) = 0; MKDP(NV(p),mr0,*pr); |
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if ( *pr ) |
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(*pr)->sugar = p->sugar + m0->dl->td; |
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} |
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} |
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void weyl_mulmdm_dup(int mod,MP m0,DP p,DP *pr) |
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{ |
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DP r,t,t1; |
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MP m; |
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DL d0; |
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int n,n2,l,i,j,tlen; |
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static MP *w,*psum; |
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static struct cdlm *tab; |
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static int wlen; |
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static int rtlen; |
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if ( !p ) |
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*pr = 0; |
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else { |
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for ( m = BDY(p), l = 0; m; m = NEXT(m), l++ ); |
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if ( l > wlen ) { |
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if ( w ) GC_free(w); |
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w = (MP *)MALLOC(l*sizeof(MP)); |
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wlen = l; |
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} |
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for ( m = BDY(p), i = 0; i < l; m = NEXT(m), i++ ) |
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w[i] = m; |
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n = NV(p); n2 = n>>1; |
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d0 = m0->dl; |
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for ( i = 0, tlen = 1; i < n2; i++ ) |
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tlen *= d0->d[n2+i]+1; |
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if ( tlen > rtlen ) { |
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if ( tab ) GC_free(tab); |
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if ( psum ) GC_free(psum); |
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rtlen = tlen; |
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tab = (struct cdlm *)MALLOC(rtlen*sizeof(struct cdlm)); |
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psum = (MP *)MALLOC(rtlen*sizeof(MP)); |
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} |
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bzero(psum,tlen*sizeof(MP)); |
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for ( i = l-1; i >= 0; i-- ) { |
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bzero(tab,tlen*sizeof(struct cdlm)); |
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weyl_mulmmm_dup(mod,m0,w[i],n,tab,tlen); |
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for ( j = 0; j < tlen; j++ ) { |
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if ( tab[j].c ) { |
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NEWMP(m); m->dl = tab[j].d; |
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C(m) = STOI(tab[j].c); NEXT(m) = psum[j]; |
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psum[j] = m; |
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} |
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} |
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} |
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for ( j = tlen-1, r = 0; j >= 0; j-- ) |
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if ( psum[j] ) { |
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MKDP(n,psum[j],t); addmd_destructive(mod,r,t,&t1); r = t1; |
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} |
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if ( r ) |
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r->sugar = p->sugar + m0->dl->td; |
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*pr = r; |
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} |
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} |
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/* m0 = x0^d0*x1^d1*... * dx0^d(n/2)*dx1^d(n/2+1)*... */ |
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void weyl_mulmmm_dup(int mod,MP m0,MP m1,int n,struct cdlm *rtab,int rtablen) |
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{ |
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int c,c0,c1; |
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DL d,d0,d1,dt; |
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int i,j,a,b,k,l,n2,s,min,curlen; |
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struct cdlm *p; |
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static int *ctab; |
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static struct cdlm *tab; |
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static int tablen; |
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static struct cdlm *tmptab; |
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static int tmptablen; |
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if ( !m0 || !m1 ) { |
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rtab[0].c = 0; |
|
rtab[0].d = 0; |
|
return; |
|
} |
|
c0 = ITOS(C(m0)); c1 = ITOS(C(m1)); |
|
c = dmar(c0,c1,0,mod); |
|
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 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 ) |
|
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 = 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 = ctab[j]; |
|
} |
|
comm_mulmd_tab_destructive(mod,n,rtab,curlen,tab,k+1); |
|
curlen *= k+1; |
|
} |
|
} |
|
|
|
void comm_mulmd_tab_destructive(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1) |
|
{ |
|
int i,j; |
|
struct cdlm *p; |
|
int 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 ) { |
|
p->c = dmar(t[i].c,c,0,mod); |
|
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 ) { |
|
p->c = dmar(t[i].c,c,0,mod); |
|
/* 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]; |
} |
} |