version 1.3, 2000/08/22 05:04:04 |
version 1.5, 2001/10/09 01:36:11 |
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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/PD.c,v 1.2 2000/08/21 08:31:26 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/engine/PD.c,v 1.4 2001/03/29 09:49:57 noro Exp $ |
*/ |
*/ |
#ifndef FBASE |
#ifndef FBASE |
#define FBASE |
#define FBASE |
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} |
} |
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#ifdef FBASE |
#ifdef FBASE |
void plisttop(f,v,n,gp) |
void plisttop(P *f,V v,int n,P *gp) |
P *f; |
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V v; |
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int n; |
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P *gp; |
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{ |
{ |
int i; |
int i; |
DCP dc,dc0; |
DCP dc,dc0; |
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} |
} |
} |
} |
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int divtpz(vl,p1,p2,q) |
/* for multivariate polynomials over fields */ |
VL vl; |
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P p1,p2,*q; |
int divtp(VL vl,P p1,P p2,P *q) |
{ |
{ |
register int i,j; |
register int i,j; |
register DCP dc1,dc2,dc; |
register DCP dc1,dc2,dc; |
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if ( !p1 ) { |
if ( !p1 ) { |
*q = 0; |
*q = 0; |
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return 1; |
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} else if ( NUM(p2) ) { |
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divsp(vl,p1,p2,q); |
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return 1; |
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} else if ( NUM(p1) ) { |
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*q = 0; |
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return 0; |
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} else if ( ( v1 = VR(p1) ) == ( v2 = VR(p2) ) ) { |
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dc1 = DC(p1); dc2 = DC(p2); |
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deg1 = DEG(dc1); deg2 = DEG(dc2); |
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sgn = cmpq(deg1,deg2); |
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if ( sgn == 0 ) |
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if ( !divtp(vl,COEF(dc1),COEF(dc2),&m) ) { |
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*q = 0; |
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return 0; |
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} else { |
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mulp(vl,p2,m,&m1); subp(vl,p1,m1,&s); |
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if ( !s ) { |
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*q = m; |
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return 1; |
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} else { |
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*q = 0; |
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return 0; |
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} |
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} |
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else if ( sgn < 0 ) { |
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*q = 0; |
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return 0; |
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} else { |
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if ( (PL(NM(deg1)) > 1) ) { |
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error("divtp : invalid input"); |
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*q = 0; |
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return ( 0 ); |
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} |
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d1 = QTOS(deg1); d2 = QTOS(deg2); |
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W_CALLOC(d1-d2,P,pq); W_CALLOC(d1,P,pr); W_CALLOC(d2,P,pd); |
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for ( dc = dc1; dc; dc = NEXT(dc) ) |
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pr[QTOS(DEG(dc))] = COEF(dc); |
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for ( dc = dc2; dc; dc = NEXT(dc) ) |
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pd[QTOS(DEG(dc))] = COEF(dc); |
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for ( dvr = COEF(dc2), i = d1 - d2; i >= 0; i-- ) |
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if ( !pr[i+d2] ) |
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continue; |
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else if ( !divtp(vl,pr[i+d2],dvr,&m) ) { |
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*q = 0; |
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return 0; |
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} else { |
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pq[i] = m; |
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for ( j = d2; j >= 0; j-- ) { |
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mulp(vl,pq[i],pd[j],&m); |
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subp(vl,pr[i + j],m,&s); pr[i + j] = s; |
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} |
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} |
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plisttop(pq,v1,d1 - d2,&m); plisttop(pr,v1,d1 - 1,&t); |
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if ( t ) { |
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*q = 0; |
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return 0; |
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} else { |
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*q = m; |
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return 1; |
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} |
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} |
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} else { |
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for ( ; (v1 != vl->v) && (v2 != vl->v); vl = NEXT(vl) ); |
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if ( v2 == vl->v ) { |
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*q = 0; |
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return 0; |
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} else |
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return divtdcp(vl,p1,p2,q); |
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} |
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} |
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int divtdcp(VL vl,P p1,P p2,P *q) |
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{ |
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P m; |
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register DCP dc,dcr,dcr0; |
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for ( dc = DC(p1), dcr0 = 0; dc; dc = NEXT(dc) ) |
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if ( !divtp(vl,COEF(dc),p2,&m) ) { |
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*q = 0; |
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return 0; |
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} else { |
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NEXTDC(dcr0,dcr); DEG(dcr) = DEG(dc); COEF(dcr) = m; NEXT(dcr) = 0; |
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} |
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MKP(VR(p1),dcr0,*q); |
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return 1; |
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} |
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int divtpz(VL vl,P p1,P p2,P *q) |
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{ |
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register int i,j; |
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register DCP dc1,dc2,dc; |
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P m,m1,s,dvr,t; |
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P *pq,*pr,*pd; |
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V v1,v2; |
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Q deg1,deg2; |
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int d1,d2,sgn; |
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if ( !p1 ) { |
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*q = 0; |
return ( 1 ); |
return ( 1 ); |
} else if ( NUM(p2) ) |
} else if ( NUM(p2) ) |
if ( NUM(p1) ) { |
if ( NUM(p1) ) { |
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} |
} |
} |
} |
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int divtdcpz(vl,p1,p2,q) |
int divtdcpz(VL vl,P p1,P p2,P *q) |
VL vl; |
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P p1,p2,*q; |
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{ |
{ |
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P m; |
P m; |
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return ( 1 ); |
return ( 1 ); |
} |
} |
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void udivpz(f1,f2,fqp,frp) |
void udivpz(P f1,P f2,P *fqp,P *frp) |
P f1,f2,*fqp,*frp; |
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{ |
{ |
register int n1,n2,i,j; |
register int n1,n2,i,j; |
Q *pq,*pr,*pd,d,m,s,q; |
Q *pq,*pr,*pd,d,m,s,q; |
Line 385 P f1,f2,*fqp,*frp; |
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Line 479 P f1,f2,*fqp,*frp; |
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plisttop((P *)pq,VR(f1),n1-n2,fqp); plisttop((P *)pr,VR(f1),n2-1,frp); |
plisttop((P *)pq,VR(f1),n1-n2,fqp); plisttop((P *)pr,VR(f1),n2-1,frp); |
} |
} |
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void udivpwm(mod,p1,p2,q,r) |
void udivpwm(Q mod,P p1,P p2,P *q,P *r) |
Q mod; |
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P p1,p2; |
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P *q,*r; |
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{ |
{ |
P s,t,u,tq,tr; |
P s,t,u,tq,tr; |
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cmp(mod,tr,r); mulpq(tq,t,&s); cmp(mod,s,q); |
cmp(mod,tr,r); mulpq(tq,t,&s); cmp(mod,s,q); |
} |
} |
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void udivpzwm(mod,f1,f2,fqp,frp) |
void udivpzwm(Q mod,P f1,P f2,P *fqp,P *frp) |
Q mod; |
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P f1,f2,*fqp,*frp; |
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{ |
{ |
register int n1,n2,i,j; |
register int n1,n2,i,j; |
Q *pq,*pr,*pd,d,m,s,q; |
Q *pq,*pr,*pd,d,m,s,q; |