/*
* Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED
* All rights reserved.
*
* FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
* non-exclusive and royalty-free license to use, copy, modify and
* redistribute, solely for non-commercial and non-profit purposes, the
* computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
* conditions of this Agreement. For the avoidance of doubt, you acquire
* only a limited right to use the SOFTWARE hereunder, and FLL or any
* third party developer retains all rights, including but not limited to
* copyrights, in and to the SOFTWARE.
*
* (1) FLL does not grant you a license in any way for commercial
* purposes. You may use the SOFTWARE only for non-commercial and
* non-profit purposes only, such as academic, research and internal
* business use.
* (2) The SOFTWARE is protected by the Copyright Law of Japan and
* international copyright treaties. If you make copies of the SOFTWARE,
* with or without modification, as permitted hereunder, you shall affix
* to all such copies of the SOFTWARE the above copyright notice.
* (3) An explicit reference to this SOFTWARE and its copyright owner
* shall be made on your publication or presentation in any form of the
* results obtained by use of the SOFTWARE.
* (4) In the event that you modify the SOFTWARE, you shall notify FLL by
* 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
* SOFTWARE.
*
* THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
* MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
* EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
* FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
* RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
* MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
* UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
* OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
* DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
* DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
* ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
* FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
* DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
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*
* $OpenXM: OpenXM_contrib2/asir2000/engine/distm.c,v 1.21 2018/03/29 01:32:51 noro Exp $
*/
#include "ca.h"
#include "inline.h"
extern int (*cmpdl)();
extern int do_weyl;
void ptomd(VL vl,int mod,VL dvl,P p,DP *pr)
{
P t;
ptomp(mod,p,&t);
mptomd(vl,mod,dvl,t,pr);
}
void mptomd(VL vl,int mod,VL dvl,P p,DP *pr)
{
int n,i;
VL tvl;
V v;
DL d;
MP m;
DCP dc;
DP r,s,t,u;
P x,c;
if ( !p )
*pr = 0;
else {
for ( n = 0, tvl = dvl; tvl; tvl = NEXT(tvl), n++ );
if ( NUM(p) ) {
NEWDL(d,n);
NEWMP(m); m->dl = d; C(m) = (Obj)p; NEXT(m) = 0; MKDP(n,m,*pr);
} else {
for ( i = 0, tvl = dvl, v = VR(p);
tvl && tvl->v != v; tvl = NEXT(tvl), i++ );
if ( !tvl ) {
for ( dc = DC(p), s = 0, MKV(v,x); dc; dc = NEXT(dc) ) {
mptomd(vl,mod,dvl,COEF(dc),&t); pwrmp(vl,mod,x,DEG(dc),&c);
mulmdc(vl,mod,t,c,&r); addmd(vl,mod,r,s,&t); s = t;
}
*pr = s;
} else {
for ( dc = DC(p), s = 0; dc; dc = NEXT(dc) ) {
mptomd(vl,mod,dvl,COEF(dc),&t);
NEWDL(d,n); d->d[i] = QTOS(DEG(dc));
d->td = MUL_WEIGHT(d->d[i],i);
NEWMP(m); m->dl = d; C(m) = (Obj)ONEM; NEXT(m) = 0; MKDP(n,m,u);
comm_mulmd(vl,mod,t,u,&r); addmd(vl,mod,r,s,&t); s = t;
}
*pr = s;
}
}
}
}
void mdtodp(DP p,DP *pr)
{
MP m,mr0,mr;
if ( !p )
*pr = 0;
else {
for ( m = BDY(p), mr0 = 0; m; m = NEXT(m) ) {
NEXTMP(mr0,mr); mr->dl = m->dl;
mptop((P)C(m),(P *)&C(mr));
}
NEXT(mr) = 0;
MKDP(NV(p),mr0,*pr);
(*pr)->sugar = p->sugar;
}
}
void _mdtodp(DP p,DP *pr)
{
MP m,mr0,mr;
int i;
Q q;
if ( !p )
*pr = 0;
else {
for ( m = BDY(p), mr0 = 0; m; m = NEXT(m) ) {
NEXTMP(mr0,mr); mr->dl = m->dl;
i = ITOS(m->c); STOQ(i,q); C(mr) = (Obj)q;
}
NEXT(mr) = 0;
MKDP(NV(p),mr0,*pr);
(*pr)->sugar = p->sugar;
}
}
void mdtop(VL vl,int mod,VL dvl,DP p,P *pr)
{
int n,i;
DL d;
MP m;
P r,s,t,u,w;
Q q;
VL tvl;
if ( !p )
*pr = 0;
else {
for ( n = p->nv, m = BDY(p), s = 0; m; m = NEXT(m) ) {
for ( i = 0, t = (P)C(m), d = m->dl, tvl = dvl;
i < n; tvl = NEXT(tvl), i++ ) {
MKMV(tvl->v,r); STOQ(d->d[i],q); pwrmp(vl,mod,r,q,&u);
mulmp(vl,mod,t,u,&w); t = w;
}
addmp(vl,mod,s,t,&u); s = u;
}
mptop(s,pr);
}
}
void addmd(VL vl,int mod,DP p1,DP p2,DP *pr)
{
int n;
MP m1,m2,mr,mr0;
P t;
int tmp;
MQ q;
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:
if ( NUM(C(m1)) && NUM(C(m2)) ) {
tmp = (CONT((MQ)C(m1))+CONT((MQ)C(m2))) - mod;
if ( tmp < 0 )
tmp += mod;
if ( tmp ) {
STOMQ(tmp,q); t = (P)q;
} else
t = 0;
} else
addmp(vl,mod,(P)C(m1),(P)C(m2),&t);
if ( t ) {
NEXTMP(mr0,mr); mr->dl = m1->dl; C(mr) = (Obj)t;
}
m1 = NEXT(m1); m2 = NEXT(m2); break;
case 1:
NEXTMP(mr0,mr); mr->dl = m1->dl; C(mr) = C(m1);
m1 = NEXT(m1); break;
case -1:
NEXTMP(mr0,mr); mr->dl = m2->dl; C(mr) = C(m2);
m2 = NEXT(m2); 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);
}
}
void submd(VL vl,int mod,DP p1,DP p2,DP *pr)
{
DP t;
if ( !p2 )
*pr = p1;
else {
chsgnmd(mod,p2,&t); addmd(vl,mod,p1,t,pr);
}
}
void chsgnmd(int mod,DP p,DP *pr)
{
MP m,mr,mr0;
if ( !p )
*pr = 0;
else {
for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) {
NEXTMP(mr0,mr); chsgnmp(mod,(P)C(m),(P *)&C(mr)); mr->dl = m->dl;
}
NEXT(mr) = 0; MKDP(NV(p),mr0,*pr);
if ( *pr )
(*pr)->sugar = p->sugar;
}
}
void mulmd(VL vl,int mod,DP p1,DP p2,DP *pr)
{
if ( !do_weyl )
comm_mulmd(vl,mod,p1,p2,pr);
else
weyl_mulmd(vl,mod,p1,p2,pr);
}
void comm_mulmd(VL vl,int mod,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 if ( OID(p1) <= O_P )
mulmdc(vl,mod,p2,(P)p1,pr);
else if ( OID(p2) <= O_P )
mulmdc(vl,mod,p1,(P)p2,pr);
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 ) GCFREE(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-- ) {
mulmdm(vl,mod,p1,w[i],&t); addmd(vl,mod,s,t,&u); s = u;
}
bzero(w,l*sizeof(MP));
*pr = s;
}
}
void weyl_mulmd(VL vl,int mod,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 if ( OID(p1) <= O_P )
mulmdc(vl,mod,p2,(P)p1,pr);
else if ( OID(p2) <= O_P )
mulmdc(vl,mod,p1,(P)p2,pr);
else {
for ( m = BDY(p2), l = 0; m; m = NEXT(m), l++ );
if ( l > wlen ) {
if ( w ) GCFREE(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-- ) {
weyl_mulmdm(vl,mod,p1,w[i],&t); addmd(vl,mod,s,t,&u); s = u;
}
bzero(w,l*sizeof(MP));
*pr = s;
}
}
void mulmdm(VL vl,int mod,DP p,MP m0,DP *pr)
{
MP m,mr,mr0;
P c;
DL d;
int n,t;
MQ q;
if ( !p )
*pr = 0;
else {
for ( mr0 = 0, m = BDY(p), c = (P)C(m0), d = m0->dl, n = NV(p);
m; m = NEXT(m) ) {
NEXTMP(mr0,mr);
if ( NUM(C(m)) && NUM(c) ) {
t = dmar(((MQ)(C(m)))->cont,((MQ)c)->cont,0,mod);
STOMQ(t,q); C(mr) = (Obj)q;
} else
mulmp(vl,mod,(P)C(m),c,(P *)&C(mr));
adddl(n,m->dl,d,&mr->dl);
}
NEXT(mr) = 0; MKDP(NV(p),mr0,*pr);
if ( *pr )
(*pr)->sugar = p->sugar + m0->dl->td;
}
}
void weyl_mulmdm(VL vl,int mod,DP p,MP m0,DP *pr)
{
DP r,t,t1;
MP m;
int n,l,i;
static MP *w;
static int wlen;
if ( !p )
*pr = 0;
else {
for ( m = BDY(p), l = 0; m; m = NEXT(m), l++ );
if ( l > wlen ) {
if ( w ) GCFREE(w);
w = (MP *)MALLOC(l*sizeof(MP));
wlen = l;
}
for ( m = BDY(p), i = 0; i < l; m = NEXT(m), i++ )
w[i] = m;
for ( r = 0, i = l-1, n = NV(p); i >= 0; i-- ) {
weyl_mulmmm(vl,mod,w[i],m0,n,&t);
addmd(vl,mod,r,t,&t1); r = t1;
}
bzero(w,l*sizeof(MP));
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_mulmmm(VL vl,int mod,MP m0,MP m1,int n,DP *pr)
{
MP mr,mr0;
MQ mq;
DP r,t,t1;
P c,c0,c1;
DL d,d0,d1;
int i,j,a,b,k,l,n2,s,min;
static int *tab;
static int tablen;
if ( !m0 || !m1 )
*pr = 0;
else {
c0 = (P)C(m0); c1 = (P)C(m1);
mulmp(vl,mod,c0,c1,&c);
d0 = m0->dl; d1 = m1->dl;
n2 = n>>1;
if ( n & 1 ) {
/* homogenized computation; dx-xd=h^2 */
/* offset of h-degree */
NEWDL(d,n);
d->td = d->d[n-1] = d0->d[n-1]+d1->d[n-1];
NEWMP(mr); mr->c = (Obj)ONEM; mr->dl = d; NEXT(mr) = 0;
MKDP(n,mr,r); r->sugar = d->td;
} else
r = (DP)ONEM;
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);
/* compute xi^a*(Di^k*xi^l)*Di^b */
min = MIN(k,l);
if ( min+1 > tablen ) {
if ( tab ) GCFREE(tab);
tab = (int *)MALLOC((min+1)*sizeof(int));
tablen = min+1;
}
mkwcm(k,l,mod,tab);
if ( n & 1 )
for ( mr0 = 0, j = 0; j <= min; j++ ) {
NEXTMP(mr0,mr); 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));
STOMQ(tab[j],mq); mr->c = (Obj)mq; mr->dl = d;
}
else
for ( mr0 = 0, s = 0, j = 0; j <= min; j++ ) {
NEXTMP(mr0,mr); 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 */
s = MAX(s,d->td); /* XXX */
STOMQ(tab[j],mq); mr->c = (Obj)mq; 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(vl,mod,r,t,&t1); r = t1;
}
mulmdc(vl,mod,r,c,pr);
}
}
void mulmdc(VL vl,int mod,DP p,P c,DP *pr)
{
MP m,mr,mr0;
int t;
MQ q;
if ( !p || !c )
*pr = 0;
else {
for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) {
NEXTMP(mr0,mr);
if ( NUM(C(m)) && NUM(c) ) {
t = dmar(((MQ)(C(m)))->cont,((MQ)c)->cont,0,mod);
STOMQ(t,q); C(mr) = (Obj)q;
} else
mulmp(vl,mod,(P)C(m),c,(P *)&C(mr));
mr->dl = m->dl;
}
NEXT(mr) = 0; MKDP(NV(p),mr0,*pr);
if ( *pr )
(*pr)->sugar = p->sugar;
}
}
void divsmdc(VL vl,int mod,DP p,P c,DP *pr)
{
MP m,mr,mr0;
if ( !c )
error("disvsdc : division by 0");
else if ( !p )
*pr = 0;
else {
for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) {
NEXTMP(mr0,mr); divsmp(vl,mod,(P)C(m),c,(P *)&C(mr)); mr->dl = m->dl;
}
NEXT(mr) = 0; MKDP(NV(p),mr0,*pr);
if ( *pr )
(*pr)->sugar = p->sugar;
}
}
void _dtop_mod(VL vl,VL dvl,DP p,P *pr)
{
int n,i;
DL d;
MP m;
P r,s,t,u,w;
Q q;
VL tvl;
if ( !p )
*pr = 0;
else {
for ( n = p->nv, m = BDY(p), s = 0; m; m = NEXT(m) ) {
i = ITOS(m->c); STOQ(i,q); t = (P)q;
for ( i = 0, d = m->dl, tvl = dvl;
i < n; tvl = NEXT(tvl), i++ ) {
MKV(tvl->v,r); STOQ(d->d[i],q); pwrp(vl,r,q,&u);
mulp(vl,t,u,&w); t = w;
}
addp(vl,s,t,&u); s = u;
}
*pr = s;
}
}
void _dp_mod(DP p,int mod,NODE subst,DP *rp)
{
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 = (P)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 = (Obj)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 = (Obj)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;
MP m1,m2,mr,mr0,s;
int 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:
t = (ITOS(C(m1))+ITOS(C(m2))) - mod;
if ( t < 0 )
t += mod;
s = m1; m1 = NEXT(m1);
if ( t ) {
NEXTMP2(mr0,mr,s); C(mr) = (Obj)STOI(t);
}
s = m2; m2 = NEXT(m2);
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);
}
}
void mulmd_dup(int mod,DP p1,DP p2,DP *pr)
{
if ( !do_weyl )
comm_mulmd_dup(mod,p1,p2,pr);
else
weyl_mulmd_dup(mod,p1,p2,pr);
}
void comm_mulmd_dup(int mod,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 ) GCFREE(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-- ) {
mulmdm_dup(mod,p1,w[i],&t); addmd_destructive(mod,s,t,&u); s = u;
}
bzero(w,l*sizeof(MP));
*pr = s;
}
}
void weyl_mulmd_dup(int mod,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 ) GCFREE(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_mulmdm_dup(mod,w[i],p2,&t); addmd_destructive(mod,s,t,&u); s = u;
}
bzero(w,l*sizeof(MP));
*pr = s;
}
}
void mulmdm_dup(int mod,DP p,MP m0,DP *pr)
{
MP m,mr,mr0;
DL d,dt,dm;
int c,n,i;
int *pt,*p1,*p2;
if ( !p )
*pr = 0;
else {
for ( mr0 = 0, m = BDY(p), c = ITOS(C(m0)), d = m0->dl, n = NV(p);
m; m = NEXT(m) ) {
NEXTMP(mr0,mr);
C(mr) = (Obj)STOI(dmar(ITOS(C(m)),c,0,mod));
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_mulmdm_dup(int mod,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 cdlm *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 ) GCFREE(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 ) GCFREE(tab);
if ( psum ) GCFREE(psum);
rtlen = tlen;
tab = (struct cdlm *)MALLOC(rtlen*sizeof(struct cdlm));
psum = (MP *)MALLOC(rtlen*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) = (Obj)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 )
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_mulmmm_dup(int mod,MP m0,MP m1,int n,struct cdlm *rtab,int rtablen)
{
int c,c0,c1;
DL d,d0,d1,dt;
int i,j,a,b,k,l,n2,s,min,curlen;
struct cdlm *p;
static int *ctab;
static struct cdlm *tab;
static int tablen;
static struct cdlm *tmptab;
static int tmptablen;
if ( !m0 || !m1 ) {
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 ) GCFREE(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 ) GCFREE(tab);
if ( ctab ) GCFREE(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];
}