File: [local] / OpenXM_contrib2 / asir2000 / engine / PD.c (download)
Revision 1.1.1.1 (vendor branch), Fri Dec 3 07:39:08 1999 UTC (24 years, 10 months ago) by noro
Branch: NORO
CVS Tags: RELEASE_20000124, RELEASE_1_1_2, ASIR2000 Changes since 1.1: +0 -0
lines
Imported asir2000 as OpenXM_contrib2/asir2000.
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/* $OpenXM: OpenXM_contrib2/asir2000/engine/PD.c,v 1.1.1.1 1999/12/03 07:39:08 noro Exp $ */
#ifndef FBASE
#define FBASE
#endif
#include "b.h"
#include "ca.h"
void D_DIVSRP(vl,p1,p2,q,r)
VL vl;
P p1,p2;
P *q,*r;
{
register int i,j;
register DCP dc1,dc2,dc;
P m,s,dvr;
P *pq,*pr,*pd;
V v1,v2;
Q deg1,deg2;
int d1,d2,sgn;
if ( !p1 ) {
*q = 0; *r = 0;
} else if ( NUM(p2) )
if ( NUM(p1) ) {
DIVNUM(p1,p2,q); *r = 0;
} else {
DIVSDCP(vl,p1,p2,q); *r = 0;
}
else if ( NUM(p1) ) {
*q = 0; *r = p1;
} else if ( ( v1 = VR(p1) ) == ( v2 = VR(p2) ) ) {
dc1 = DC(p1); dc2 = DC(p2);
deg1 = DEG(dc1); deg2 = DEG(dc2);
sgn = cmpq(deg1,deg2);
if ( sgn == 0 ) {
DIVSP(vl,COEF(dc1),COEF(dc2),q);
MULP(vl,p2,*q,&m); SUBP(vl,p1,m,r);
} else if ( sgn < 0 ) {
*q = 0; *r = p1;
} else {
if ( (PL(NM(deg1)) > 1) )
error("divsrp : invalid input");
d1 = QTOS(deg1); d2 = QTOS(deg2);
W_CALLOC(d1-d2,P,pq); W_CALLOC(d1,P,pr); W_CALLOC(d2,P,pd);
for ( dc = dc1; dc; dc = NEXT(dc) )
pr[QTOS(DEG(dc))] = COEF(dc);
for ( dc = dc2; dc; dc = NEXT(dc) )
pd[QTOS(DEG(dc))] = COEF(dc);
for ( dvr = COEF(dc2), i = d1 - d2; i >= 0; i-- ) {
if ( !pr[i+d2] )
continue;
DIVSP(vl,pr[i+d2],dvr,&pq[i]);
for ( j = d2; j >= 0; j-- ) {
MULP(vl,pq[i],pd[j],&m);
SUBP(vl,pr[i + j],m,&s); pr[i + j] = s;
}
}
plisttop(pq,v1,d1 - d2,q); plisttop(pr,v1,d1 - 1,r);
}
} else {
for ( ; (v1 != vl->v) && (v2 != vl->v); vl = NEXT(vl) );
if ( v2 == vl->v ) {
*q = 0; *r = p1;
} else
DIVSRDCP(vl,p1,p2,q,r);
}
}
void D_DIVSRDCP(vl,p1,p2,q,r)
VL vl;
P p1,p2,*q,*r;
{
P qc,rc;
DCP dc,dcq,dcq0,dcr,dcr0;
for ( dc = DC(p1), dcq0 = 0, dcr0 = 0; dc; dc = NEXT(dc) ) {
DIVSRP(vl,COEF(dc),p2,&qc,&rc);
if ( qc ) {
NEXTDC(dcq0,dcq); DEG(dcq) = DEG(dc); COEF(dcq) = qc;
}
if ( rc ) {
NEXTDC(dcr0,dcr); DEG(dcr) = DEG(dc); COEF(dcr) = rc;
}
}
if ( dcq0 ) {
NEXT(dcq) = 0; MKP(VR(p1),dcq0,*q);
} else
*q = 0;
if ( dcr0 ) {
NEXT(dcr) = 0; MKP(VR(p1),dcr0,*r);
} else
*r = 0;
}
void D_DIVSP(vl,p1,p2,q)
VL vl;
P p1,p2,*q;
{
P t;
DIVSRP(vl,p1,p2,q,&t);
if ( t )
error("divsp: cannot happen");
}
void D_DIVSDCP(vl,p1,p2,q)
VL vl;
P p1,p2,*q;
{
P m;
register DCP dc,dcr,dcr0;
for ( dc = DC(p1), dcr0 = 0; dc; dc = NEXT(dc) ) {
DIVSP(vl,COEF(dc),p2,&m);
NEXTDC(dcr0,dcr); DEG(dcr) = DEG(dc); COEF(dcr) = m; NEXT(dcr) = 0;
}
MKP(VR(p1),dcr0,*q);
}
#ifdef FBASE
void plisttop(f,v,n,gp)
P *f;
V v;
int n;
P *gp;
{
int i;
DCP dc,dc0;
for ( i = n; (i >= 0) && !f[i]; i-- );
if ( i < 0 )
*gp = 0;
else if ( i == 0 )
*gp = f[0];
else {
for ( dc0 = 0; i >= 0; i-- ) {
if ( !f[i] )
continue;
NEXTDC(dc0,dc);
if ( i )
STOQ(i,DEG(dc));
else
DEG(dc) = 0;
COEF(dc) = f[i];
}
NEXT(dc) = 0; MKP(v,dc0,*gp);
}
}
int divtpz(vl,p1,p2,q)
VL vl;
P p1,p2,*q;
{
register int i,j;
register DCP dc1,dc2,dc;
P m,m1,s,dvr,t;
P *pq,*pr,*pd;
V v1,v2;
Q deg1,deg2;
int d1,d2,sgn;
if ( !p1 ) {
*q = 0;
return ( 1 );
} else if ( NUM(p2) )
if ( NUM(p1) ) {
divq((Q)p1,(Q)p2,(Q *)&s);
if ( INT((Q)s) ) {
*q = s;
return ( 1 );
} else {
*q = 0;
return ( 0 );
}
} else
return ( divtdcpz(vl,p1,p2,q) );
else if ( NUM(p1) ) {
*q = 0;
return ( 0 );
} else if ( ( v1 = VR(p1) ) == ( v2 = VR(p2) ) ) {
Q csum1,csum2;
csump(vl,p1,&csum1); csump(vl,p2,&csum2);
if ( csum2 && !divtpz(vl,(P)csum1,(P)csum2,&t) ) {
*q = 0;
return 0;
}
dc1 = DC(p1); dc2 = DC(p2);
deg1 = DEG(dc1); deg2 = DEG(dc2);
sgn = cmpq(deg1,deg2);
if ( sgn == 0 )
if ( !divtpz(vl,COEF(dc1),COEF(dc2),&m) ) {
*q = 0;
return ( 0 );
} else {
mulp(vl,p2,m,&m1); subp(vl,p1,m1,&s);
if ( !s ) {
*q = m;
return ( 1 );
} else {
*q = 0;
return ( 0 );
}
}
else if ( sgn < 0 ) {
*q = 0;
return ( 0 );
} else {
if ( (PL(NM(deg1)) > 1) ) {
error("divtpz : invalid input");
*q = 0;
return ( 0 );
}
d1 = QTOS(deg1); d2 = QTOS(deg2);
W_CALLOC(d1-d2,P,pq); W_CALLOC(d1,P,pr); W_CALLOC(d2,P,pd);
for ( dc = dc1; dc; dc = NEXT(dc) )
pr[QTOS(DEG(dc))] = COEF(dc);
for ( dc = dc2; dc; dc = NEXT(dc) )
pd[QTOS(DEG(dc))] = COEF(dc);
for ( dvr = COEF(dc2), i = d1 - d2; i >= 0; i-- )
if ( !pr[i+d2] )
continue;
else if ( !divtpz(vl,pr[i+d2],dvr,&m) ) {
*q = 0;
return ( 0 );
} else {
pq[i] = m;
for ( j = d2; j >= 0; j-- ) {
mulp(vl,pq[i],pd[j],&m);
subp(vl,pr[i + j],m,&s); pr[i + j] = s;
}
}
plisttop(pq,v1,d1 - d2,&m); plisttop(pr,v1,d1 - 1,&t);
if ( t ) {
*q = 0;
return ( 0 );
} else {
*q = m;
return ( 1 );
}
}
} else {
for ( ; (v1 != vl->v) && (v2 != vl->v); vl = NEXT(vl) );
if ( v2 == vl->v ) {
*q = 0;
return ( 0 );
} else
return ( divtdcpz(vl,p1,p2,q) ) ;
}
}
int divtdcpz(vl,p1,p2,q)
VL vl;
P p1,p2,*q;
{
P m;
register DCP dc,dcr,dcr0;
for ( dc = DC(p1), dcr0 = 0; dc; dc = NEXT(dc) )
if ( !divtpz(vl,COEF(dc),p2,&m) ) {
*q = 0;
return ( 0 );
} else {
NEXTDC(dcr0,dcr); DEG(dcr) = DEG(dc); COEF(dcr) = m; NEXT(dcr) = 0;
}
MKP(VR(p1),dcr0,*q);
return ( 1 );
}
void udivpz(f1,f2,fqp,frp)
P f1,f2,*fqp,*frp;
{
register int n1,n2,i,j;
Q *pq,*pr,*pd,d,m,s,q;
DCP dc;
N qn,rn;
if ( !f2 )
error("udivpz: division by 0");
else if ( !f1 ) {
*fqp = *frp = 0;
return;
} else if ( NUM(f1) )
if ( NUM(f2) ) {
divn(NM((Q)f1),NM((Q)f2),&qn,&rn);
if ( rn ) {
*fqp = *frp = 0;
} else {
NTOQ(qn,SGN((Q)f1)*SGN((Q)f2),q),*fqp = (P)q; *frp = 0;
}
return;
} else {
*fqp = 0; *frp = f1;
return;
}
else if ( NUM(f2) ) {
n1 = UDEG(f1); W_CALLOC(n1,Q,pq);
for ( dc = DC(f1); dc; dc = NEXT(dc) ) {
divn(NM((Q)COEF(dc)),NM((Q)f2),&qn,&rn);
if ( rn ) {
*fqp = *frp = 0;
return;
} else {
NTOQ(qn,SGN((Q)COEF(dc))*SGN((Q)f2),s); pq[QTOS(DEG(dc))] = s;
}
}
plisttop((P *)pq,VR(f1),n1,fqp);
return;
}
n1 = UDEG(f1); n2 = UDEG(f2);
if ( n1 < n2 ) {
*fqp = NULL; *frp = f1;
return;
}
W_CALLOC(n1-n2,Q,pq); W_CALLOC(n1,Q,pr); W_CALLOC(n2,Q,pd);
for ( dc = DC(f1); dc; dc = NEXT(dc) )
pr[QTOS(DEG(dc))] = (Q)COEF(dc);
for ( dc = DC(f2); dc; dc = NEXT(dc) )
pd[QTOS(DEG(dc))] = (Q)COEF(dc);
for ( d = (Q)UCOEF(f2), i = n1 - n2; i >= 0; i-- ) {
if ( !pr[i+n2] )
continue;
divn(NM(pr[i+n2]),NM(d),&qn,&rn);
if ( rn ) {
*fqp = *frp = 0;
return;
}
NTOQ(qn,SGN(pr[i+n2])*SGN(d),pq[i]);
for ( j = n2; j >= 0; j-- ) {
mulq(pq[i],pd[j],&m); subq(pr[i+j],m,&s); pr[i+j] = s;
}
}
plisttop((P *)pq,VR(f1),n1-n2,fqp); plisttop((P *)pr,VR(f1),n2-1,frp);
}
void udivpwm(mod,p1,p2,q,r)
Q mod;
P p1,p2;
P *q,*r;
{
P s,t,u,tq,tr;
invl((Q)UCOEF(p2),mod,(Q *)&t); mulpq(p2,t,&s); cmp(mod,s,&u);
udivpzwm(mod,p1,u,&tq,&tr);
cmp(mod,tr,r); mulpq(tq,t,&s); cmp(mod,s,q);
}
void udivpzwm(mod,f1,f2,fqp,frp)
Q mod;
P f1,f2,*fqp,*frp;
{
register int n1,n2,i,j;
Q *pq,*pr,*pd,d,m,s,q;
DCP dc;
N qn,rn;
if ( !f2 )
error("udivpz: division by 0");
else if ( !f1 ) {
*fqp = *frp = 0;
return;
} else if ( NUM(f1) )
if ( NUM(f2) ) {
divn(NM((Q)f1),NM((Q)f2),&qn,&rn);
if ( rn ) {
*fqp = *frp = 0;
} else {
NTOQ(qn,SGN((Q)f1)*SGN((Q)f2),q),*fqp = (P)q; *frp = 0;
}
return;
} else {
*fqp = 0; *frp = f1;
return;
}
else if ( NUM(f2) ) {
n1 = UDEG(f1); W_CALLOC(n1,Q,pq);
for ( dc = DC(f1); dc; dc = NEXT(dc) ) {
divn(NM((Q)COEF(dc)),NM((Q)f2),&qn,&rn);
if ( rn ) {
*fqp = *frp = 0;
return;
} else {
NTOQ(qn,SGN((Q)COEF(dc))*SGN((Q)f2),s); pq[QTOS(DEG(dc))] = s;
}
}
plisttop((P *)pq,VR(f1),n1,fqp);
return;
}
n1 = UDEG(f1); n2 = UDEG(f2);
if ( n1 < n2 ) {
*fqp = NULL; *frp = f1;
return;
}
W_CALLOC(n1-n2,Q,pq); W_CALLOC(n1,Q,pr); W_CALLOC(n2,Q,pd);
for ( dc = DC(f1); dc; dc = NEXT(dc) )
pr[QTOS(DEG(dc))] = (Q)COEF(dc);
for ( dc = DC(f2); dc; dc = NEXT(dc) )
pd[QTOS(DEG(dc))] = (Q)COEF(dc);
for ( d = (Q)UCOEF(f2), i = n1 - n2; i >= 0; i-- ) {
if ( !pr[i+n2] )
continue;
divn(NM(pr[i+n2]),NM(d),&qn,&rn);
if ( rn ) {
*fqp = *frp = 0;
return;
}
NTOQ(qn,SGN(pr[i+n2])*SGN(d),pq[i]);
for ( j = n2; j >= 0; j-- ) {
mulq(pq[i],pd[j],&m); remq(m,mod,&s);
subq(pr[i+j],s,&m); remq(m,mod,&s); pr[i+j] = s;
}
}
plisttop((P *)pq,VR(f1),n1-n2,fqp); plisttop((P *)pr,VR(f1),n2-1,frp);
}
#endif