version 1.5, 2001/10/09 01:36:11 |
version 1.6, 2004/08/18 00:17:02 |
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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/PDM.c,v 1.4 2001/02/21 07:10:18 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/engine/PDM.c,v 1.5 2001/10/09 01:36:11 noro Exp $ |
*/ |
*/ |
#ifndef MODULAR |
#ifndef MODULAR |
#define MODULAR |
#define MODULAR |
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#include "b.h" |
#include "b.h" |
#include "ca.h" |
#include "ca.h" |
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void D_DIVSRP(vl,p1,p2,q,r) |
#include "polydiv.c" |
VL vl; |
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P p1,p2; |
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P *q,*r; |
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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,s,dvr; |
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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; *r = 0; |
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} else if ( NUM(p2) ) |
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if ( NUM(p1) ) { |
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DIVNUM(p1,p2,q); *r = 0; |
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} else { |
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DIVSDCP(vl,p1,p2,q); *r = 0; |
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} |
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else if ( NUM(p1) ) { |
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*q = 0; *r = p1; |
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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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DIVSP(vl,COEF(dc1),COEF(dc2),q); |
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MULP(vl,p2,*q,&m); SUBP(vl,p1,m,r); |
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} else if ( sgn < 0 ) { |
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*q = 0; *r = p1; |
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} else { |
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if ( (PL(NM(deg1)) > 1) ) |
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error("divsrp : invalid input"); |
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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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DIVSP(vl,pr[i+d2],dvr,&pq[i]); |
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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,q); plisttop(pr,v1,d1 - 1,r); |
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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; *r = p1; |
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} else |
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DIVSRDCP(vl,p1,p2,q,r); |
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} |
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} |
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void D_DIVSRDCP(vl,p1,p2,q,r) |
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VL vl; |
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P p1,p2,*q,*r; |
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{ |
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P qc,rc; |
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DCP dc,dcq,dcq0,dcr,dcr0; |
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for ( dc = DC(p1), dcq0 = 0, dcr0 = 0; dc; dc = NEXT(dc) ) { |
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DIVSRP(vl,COEF(dc),p2,&qc,&rc); |
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if ( qc ) { |
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NEXTDC(dcq0,dcq); DEG(dcq) = DEG(dc); COEF(dcq) = qc; |
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} |
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if ( rc ) { |
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NEXTDC(dcr0,dcr); DEG(dcr) = DEG(dc); COEF(dcr) = rc; |
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} |
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} |
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if ( dcq0 ) { |
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NEXT(dcq) = 0; MKP(VR(p1),dcq0,*q); |
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} else |
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*q = 0; |
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if ( dcr0 ) { |
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NEXT(dcr) = 0; MKP(VR(p1),dcr0,*r); |
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} else |
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*r = 0; |
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} |
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void D_DIVSP(vl,p1,p2,q) |
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VL vl; |
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P p1,p2,*q; |
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{ |
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P t; |
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DIVSRP(vl,p1,p2,q,&t); |
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if ( t ) |
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error("divsp: cannot happen"); |
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} |
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void D_DIVSDCP(vl,p1,p2,q) |
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VL vl; |
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P p1,p2,*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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DIVSP(vl,COEF(dc),p2,&m); |
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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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} |
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#ifdef FBASE |
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void plisttop(f,v,n,gp) |
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P *f; |
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V v; |
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int n; |
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P *gp; |
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{ |
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int i; |
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DCP dc,dc0; |
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for ( i = n; (i >= 0) && !f[i]; i-- ); |
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if ( i < 0 ) |
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*gp = 0; |
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else if ( i == 0 ) |
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*gp = f[0]; |
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else { |
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for ( dc0 = 0; i >= 0; i-- ) { |
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if ( !f[i] ) |
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continue; |
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NEXTDC(dc0,dc); |
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if ( i ) |
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STOQ(i,DEG(dc)); |
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else |
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DEG(dc) = 0; |
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COEF(dc) = f[i]; |
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} |
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NEXT(dc) = 0; MKP(v,dc0,*gp); |
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} |
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} |
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int divtpz(vl,p1,p2,q) |
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VL vl; |
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P p1,p2,*q; |
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{ |
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register int i,j,k; |
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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; |
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return ( 1 ); |
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} else if ( NUM(p2) ) |
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if ( NUM(p1) ) { |
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divq((Q)p1,(Q)p2,(Q *)&s); |
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if ( INT((Q)s) ) { |
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*q = s; |
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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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} else |
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return ( divtdcpz(vl,p1,p2,q) ); |
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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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Q csum1,csum2; |
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csump(vl,p1,&csum1); csump(vl,p2,&csum2); |
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if ( csum2 && !divtpz(vl,(P)csum1,(P)csum2,&t) ) { |
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*q = 0; |
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return 0; |
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} |
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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 ( !divtpz(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("divtpz : 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 ( !divtpz(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 ( divtdcpz(vl,p1,p2,q) ) ; |
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} |
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} |
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int divtdcpz(vl,p1,p2,q) |
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VL vl; |
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P p1,p2,*q; |
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{ |
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P m; |
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register DCP dc,dcr,dcr0,dct; |
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for ( dc = DC(p1), dcr0 = 0; dc; dc = NEXT(dc) ) |
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if ( !divtpz(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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void udivpz(f1,f2,fqp,frp) |
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P f1,f2,*fqp,*frp; |
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{ |
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register int n1,n2,i,j; |
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Q *pq,*pr,*pd,d,m,s,q,r; |
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DCP dc; |
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N qn,rn; |
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if ( !f2 ) |
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error("udivpz: division by 0"); |
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else if ( !f1 ) { |
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*fqp = *frp = 0; |
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return; |
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} else if ( NUM(f1) ) |
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if ( NUM(f2) ) { |
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divn(NM((Q)f1),NM((Q)f2),&qn,&rn); |
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if ( rn ) { |
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*fqp = *frp = 0; |
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} else { |
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NTOQ(qn,SGN((Q)f1)*SGN((Q)f2),q),*fqp = (P)q; *frp = 0; |
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} |
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return; |
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} else { |
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*fqp = 0; *frp = f1; |
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return; |
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} |
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else if ( NUM(f2) ) { |
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n1 = UDEG(f1); W_CALLOC(n1,Q,pq); |
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for ( dc = DC(f1); dc; dc = NEXT(dc) ) { |
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divn(NM((Q)COEF(dc)),NM((Q)f2),&qn,&rn); |
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if ( rn ) { |
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*fqp = *frp = 0; |
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return; |
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} else { |
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NTOQ(qn,SGN((Q)COEF(dc))*SGN((Q)f2),s); pq[QTOS(DEG(dc))] = s; |
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} |
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} |
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plisttop((P *)pq,VR(f1),n1,fqp); |
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return; |
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} |
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n1 = UDEG(f1); n2 = UDEG(f2); |
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if ( n1 < n2 ) { |
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*fqp = NULL; *frp = f1; |
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return; |
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} |
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W_CALLOC(n1-n2,Q,pq); W_CALLOC(n1,Q,pr); W_CALLOC(n2,Q,pd); |
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for ( dc = DC(f1); dc; dc = NEXT(dc) ) |
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pr[QTOS(DEG(dc))] = (Q)COEF(dc); |
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for ( dc = DC(f2); dc; dc = NEXT(dc) ) |
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pd[QTOS(DEG(dc))] = (Q)COEF(dc); |
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for ( d = (Q)UCOEF(f2), i = n1 - n2; i >= 0; i-- ) { |
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if ( !pr[i+n2] ) |
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continue; |
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divn(NM(pr[i+n2]),NM(d),&qn,&rn); |
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if ( rn ) { |
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*fqp = *frp = 0; |
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return; |
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} |
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NTOQ(qn,SGN(pr[i+n2])*SGN(d),pq[i]); |
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for ( j = n2; j >= 0; j-- ) { |
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mulq(pq[i],pd[j],&m); subq(pr[i+j],m,&s); pr[i+j] = s; |
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} |
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} |
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plisttop((P *)pq,VR(f1),n1-n2,fqp); plisttop((P *)pr,VR(f1),n2-1,frp); |
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} |
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void udivpwm(mod,p1,p2,q,r) |
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Q mod; |
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P p1,p2; |
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P *q,*r; |
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{ |
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P s,t,u,tq,tr; |
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invl((Q)UCOEF(p2),mod,(Q *)&t); mulpq(p2,t,&s); cmp(mod,s,&u); |
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udivpzwm(mod,p1,u,&tq,&tr); |
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cmp(mod,tr,r); mulpq(tq,t,&s); cmp(mod,s,q); |
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} |
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void udivpzwm(mod,f1,f2,fqp,frp) |
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Q mod; |
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P f1,f2,*fqp,*frp; |
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{ |
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register int n1,n2,i,j; |
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Q *pq,*pr,*pd,d,m,s,q,r; |
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DCP dc; |
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N qn,rn; |
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if ( !f2 ) |
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error("udivpz: division by 0"); |
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else if ( !f1 ) { |
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*fqp = *frp = 0; |
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return; |
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} else if ( NUM(f1) ) |
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if ( NUM(f2) ) { |
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divn(NM((Q)f1),NM((Q)f2),&qn,&rn); |
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if ( rn ) { |
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*fqp = *frp = 0; |
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} else { |
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NTOQ(qn,SGN((Q)f1)*SGN((Q)f2),q),*fqp = (P)q; *frp = 0; |
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} |
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return; |
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} else { |
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*fqp = 0; *frp = f1; |
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return; |
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} |
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else if ( NUM(f2) ) { |
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n1 = UDEG(f1); W_CALLOC(n1,Q,pq); |
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for ( dc = DC(f1); dc; dc = NEXT(dc) ) { |
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divn(NM((Q)COEF(dc)),NM((Q)f2),&qn,&rn); |
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if ( rn ) { |
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*fqp = *frp = 0; |
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return; |
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} else { |
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NTOQ(qn,SGN((Q)COEF(dc))*SGN((Q)f2),s); pq[QTOS(DEG(dc))] = s; |
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} |
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} |
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plisttop((P *)pq,VR(f1),n1,fqp); |
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return; |
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} |
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n1 = UDEG(f1); n2 = UDEG(f2); |
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if ( n1 < n2 ) { |
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*fqp = NULL; *frp = f1; |
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return; |
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} |
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W_CALLOC(n1-n2,Q,pq); W_CALLOC(n1,Q,pr); W_CALLOC(n2,Q,pd); |
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for ( dc = DC(f1); dc; dc = NEXT(dc) ) |
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pr[QTOS(DEG(dc))] = (Q)COEF(dc); |
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for ( dc = DC(f2); dc; dc = NEXT(dc) ) |
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pd[QTOS(DEG(dc))] = (Q)COEF(dc); |
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for ( d = (Q)UCOEF(f2), i = n1 - n2; i >= 0; i-- ) { |
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if ( !pr[i+n2] ) |
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continue; |
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divn(NM(pr[i+n2]),NM(d),&qn,&rn); |
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if ( rn ) { |
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*fqp = *frp = 0; |
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return; |
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} |
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NTOQ(qn,SGN(pr[i+n2])*SGN(d),pq[i]); |
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for ( j = n2; j >= 0; j-- ) { |
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mulq(pq[i],pd[j],&m); remq(m,mod,&s); |
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subq(pr[i+j],s,&m); remq(m,mod,&s); pr[i+j] = s; |
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} |
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} |
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plisttop((P *)pq,VR(f1),n1-n2,fqp); plisttop((P *)pr,VR(f1),n2-1,frp); |
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} |
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#endif |
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#ifdef MODULAR |
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int divtmp(VL vl,int mod,P p1,P p2,P *q) |
int divtmp(VL vl,int mod,P p1,P p2,P *q) |
{ |
{ |
register int i,j; |
register int i,j; |
Line 568 int divtdcmp(VL vl,int mod,P p1,P p2,P *q) |
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Line 156 int divtdcmp(VL vl,int mod,P p1,P p2,P *q) |
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MKP(VR(p1),dcr0,*q); |
MKP(VR(p1),dcr0,*q); |
return 1; |
return 1; |
} |
} |
#endif /* MODULAR */ |
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