OpenXM_contrib2/asir2000/engine/Hgfs.c - diff

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Diff for /OpenXM_contrib2/asir2000/engine/Hgfs.c between version 1.13 and 1.14

version 1.13, 2001/06/29 09:08:53

version 1.14, 2001/07/03 01:41:25

Line 1

/* $OpenXM: OpenXM_contrib2/asir2000/engine/Hgfs.c,v 1.12 2001/06/27 04:07:57 noro Exp $ */

/* $OpenXM: OpenXM_contrib2/asir2000/engine/Hgfs.c,v 1.13 2001/06/29 09:08:53 noro Exp $ */

#include "ca.h"

Line 13 void lnfsf(int,UM,UM,struct p_pair *,UM,UM);

void minipolysf(UM,UM,UM);

void czsfum(UM,UM *);

void gensqfrsfum(UM,DUM);

void sfbmtop(int,BM,V,V,P *);

void sfbmtop(BM,V,V,P *);

void pp_sfp(VL,P,P *);

void cont_pp_sfp(VL,P,P *,P *);

void sfcsump(VL,P,P *);

void mulsfbmarray(int,BM,ML,int,int *,V,V,P *);

void const_term(P,UM);

void sfbsqfr(P,V,V,DCP *);

void sfusqfr(P,DCP *);

int comp_dum(a,b)

DUM a,b;

{

Line 552 int d;

Line 555 int d;

int sfberle(VL,P,int,GFS *,DCP *);

void sfgcdgen(P,ML,ML *);

void sfhenmain(LUM,ML,ML,ML *);

void ptosflum(int,P,LUM);

void sfhenmain2(BM,UM,UM,int,BM *);

void ptosfbm(int,P,BM);

Line 568 P *sfp;

Line 569 P *sfp;

ML *listp;

{

int i,j;

int fn,n,bound;

int fn,n;

ML rlist;

BM fl;

VL vl,nvl;

Line 610 ML *listp;

Line 611 ML *listp;

ptosfum(dc->c,gm[i]);

}

bound = dy+1;

/* f(x,y) -> f(x,y+ev) */

fl = BMALLOC(dx,bound);

fl = BMALLOC(dx,dy);

ptosfbm(bound,f,fl);

ptosfbm(dy,f,fl);

shiftsfbm(bound,fl,FTOIF(CONT(ev)));

shiftsfbm(fl,FTOIF(CONT(ev)));

/* sf = f(x+ev) */

sfbmtop(bound,fl,x,y,&sf);

sfbmtop(fl,x,y,&sf);

/* fm = fl mod y */

fm = W_UMALLOC(dx);

Line 625 ML *listp;

hm = W_UMALLOC(dx);

q = W_UMALLOC(dx);

rlist = MLALLOC(fn); rlist->n = fn; rlist->bound = bound;

rlist = MLALLOC(fn); rlist->n = fn; rlist->bound = dy;

fprintf(asir_out,"%d candidates\n",fn);

init_eg(&eg_hensel);

for ( i = 0; i < fn-1; i++ ) {

Line 635 ML *listp;

get_eg(&tmp0);

/* fl = gm[i]*hm mod y */

divsfum(fm,gm[i],hm);

/* fl is replaced by the cofactor of gk mod y^bound */

/* fl is replaced by the cofactor of gk mod y^dy */

/* rlist->c[i] = gk */

sfhenmain2(fl,gm[i],hm,bound,(BM *)&rlist->c[i]);

sfhenmain2(fl,gm[i],hm,dy,(BM *)&rlist->c[i]);

cpyum(hm,fm);

get_eg(&tmp1); add_eg(&eg_hensel_t,&tmp0,&tmp1);

add_eg(&eg_hensel,&tmp0,&tmp1);

Line 653 ML *listp;

/* y -> y-a */

mev = _chsgnsf(FTOIF(CONT(ev)));

for ( i = 0; i < fn; i++ )

shiftsfbm(bound,(BM)(rlist->c[i]),mev);

shiftsfbm((BM)(rlist->c[i]),mev);

#endif

*evp = ev;

*sfp = sf;

Line 745 ML blist,*clistp;

}

/* f = g0*h0 mod y -> f = gk*hk mod y^(dy+1), f is replaced by hk */

sfhenmain(fl,bqlist,cqlist,listp)

void sfhenmain(f,bqlist,cqlist,listp)

void sfhenmain2(f,g0,h0,dy,gp)

LUM f;

ML bqlist,cqlist,*listp;

{

int i,j,k;

int *px,*py;

int **pp,**pp1;

int n,np,bound,dr,tmp;

UM wt,wq0,wq,wr,wm,wm0,wa,q;

LUM wb0,wb1,tlum;

UM *b,*c;

LUM *l;

ML list;

n = DEG(f); np = bqlist->n; bound = bqlist->bound;

*listp = list = MLALLOC(n);

list->n = np; list->bound = bound;

W_LUMALLOC(n,bound,wb0); W_LUMALLOC(n,bound,wb1);

wt = W_UMALLOC(n); wq0 = W_UMALLOC(n); wq = W_UMALLOC(n);

wr = W_UMALLOC(n); wm = W_UMALLOC(2*n); wm0 = W_UMALLOC(2*n);

wa = W_UMALLOC(2*n); q = W_UMALLOC(2*n);

b = (UM *)bqlist->c; c = (UM *)cqlist->c; l = (LUM *)list->c;

for ( i = 0; i < np; i++ ) {

l[i] = LUMALLOC(DEG(b[i]),bound);

for ( j = DEG(b[i]), pp = COEF(l[i]), px = COEF(b[i]); j >= 0; j-- )

pp[j][0] = px[j];

}

for ( i = 1; i < bound; i++ ) {

fprintf(stderr,".");

/* at this point, f = l[0]*l[1]*...*l[np-1] mod y^i */

mulsflum(i+1,l[0],l[1],wb0);

for ( j = 2; j < np; j++ ) {

mulsflum(i+1,l[j],wb0,wb1);

tlum = wb0; wb0 = wb1; wb1 = tlum;

}

#if 0

/* check */

for ( j = 0, pp = COEF(f), pp1 = COEF(wb0); j <= n; j++ )

for ( k = 0; k < i; k++ )

if ( pp[j][k] != pp1[j][k] )

error("henmain : cannot happen");

#endif

for ( j = n, px = COEF(wt); j >= 0; j-- )

px[j] = 0;

for ( j = n, pp = COEF(f), pp1 = COEF(wb0); j >= 0; j-- )

COEF(wt)[j] = _subsf(pp[j][i],pp1[j][i]);

degum(wt,n);

for ( j = n, px = COEF(wq0); j >= 0; j-- )

px[j] = 0;

for ( j = 1; j < np; j++ ) {

mulsfum(wt,c[j],wm); dr = divsfum(wm,b[j],q);

for ( k = DEG(q), px = COEF(wq0), py = COEF(q); k >= 0; k-- )

px[k] = _addsf(px[k],py[k]);

for ( k = dr, pp = COEF(l[j]), px = COEF(wm); k >= 0; k-- )

pp[k][i] = px[k];

}

degum(wq0,n); mulsfum(wq0,b[0],wm);

mulsfum(wt,c[0],wm0); addsfum(wm,wm0,wa);

for ( j = DEG(wa), pp = COEF(l[0]), px = COEF(wa); j >= 0; j-- )

pp[j][i] = px[j];

for ( j = n, px = COEF(wq0); j >= 0; j-- )

px[j] = 0;

}

fprintf(stderr,"\n");

}

/* f = g0*h0 mod y -> f = gk*hk mod y^bound, f is replaced by hk */

void sfhenmain2(f,g0,h0,bound,gp)

BM f;

UM g0,h0;

int bound;

int dy;

BM *gp;

{

int i,j,k,l;

int *px,*py;

int **pp,**pp1;

int n,np,dr,tmp;

int dx,np,dr,tmp;

UM wt,wa,wb,wq,wm,q,w1,w2,wh1,wg1,ws;

UM wt,wa,wb,wm,q,w1,w2,wh1,wg1,ws;

UM wc,wd,we,wz;

BM wb0,wb1;

int ng,nh;

int dg,dh;

BM fk,gk,hk;

n = degsfbm(bound,f);

if ( DEG(f) < dy )

ng = g0->d;

error("sfhenmain2 : invalid input");

nh = h0->d;

W_BMALLOC(n,bound,wb0); W_BMALLOC(n,bound,wb1);

dx = degbm(f);

wt = W_UMALLOC(n); ws = W_UMALLOC(n);

dg = DEG(g0);

wq = W_UMALLOC(n); q = W_UMALLOC(2*n);

dh = DEG(h0);

wg1 = W_UMALLOC(2*n); wh1 = W_UMALLOC(2*n);

W_BMALLOC(dx,dy,wb0); W_BMALLOC(dx,dy,wb1);

wt = W_UMALLOC(dx); ws = W_UMALLOC(dx); q = W_UMALLOC(2*dx);

wg1 = W_UMALLOC(2*dx); wh1 = W_UMALLOC(2*dx);

/* fk = gk*hk mod y^k */

W_BMALLOC(n,bound,fk);

W_BMALLOC(dx,dy,fk);

cpyum(COEF(f)[0],COEF(fk)[0]);

gk = BMALLOC(ng,bound);

gk = BMALLOC(dg,dy);

cpyum(g0,COEF(gk)[0]);

W_BMALLOC(nh,bound,hk);

W_BMALLOC(dh,dy,hk);

cpyum(h0,COEF(hk)[0]);

wc = W_UMALLOC(2*n); wd = W_UMALLOC(2*n);

wc = W_UMALLOC(2*dx); wd = W_UMALLOC(2*dx);

we = W_UMALLOC(2*n); wz = W_UMALLOC(2*n);

we = W_UMALLOC(2*dx); wz = W_UMALLOC(2*dx);

/* compute wa,wb s.t. wa*g0+wb*h0 = 1 mod y */

w1 = W_UMALLOC(ng); cpyum(g0,w1);

w1 = W_UMALLOC(dg); cpyum(g0,w1);

w2 = W_UMALLOC(nh); cpyum(h0,w2);

w2 = W_UMALLOC(dh); cpyum(h0,w2);

wa = W_UMALLOC(2*n); wb = W_UMALLOC(2*n); /* XXX */

wa = W_UMALLOC(2*dx); wb = W_UMALLOC(2*dx); /* XXX */

eucsfum(w1,w2,wa,wb);

#if 0

fprintf(stderr,"dy=%d\n",dy);

mulsfum(wa,g0,wc); mulsfum(wb,h0,wd); addsfum(wc,wd,we);

for ( k = 1; k <= dy; k++ ) {

if ( DEG(we) != 0 || COEF(we)[0] != _onesf() )

error("henmain2 : cannot happen(euc)");

#endif

fprintf(stderr,"bound=%d\n",bound);

for ( k = 1; k < bound; k++ ) {

fprintf(stderr,".");

/* at this point, f = gk*hk mod y^k */

#if 0

for ( j = 0; j < k; j++ )

if ( !isequalum(COEF(f)[j],COEF(fk)[j]) )

error("henmain2 : cannot happen(history)");

#endif

/* clear wt */

bzero(COEF(wt),(n+1)*sizeof(int));

clearum(wt,dx);

/* wt = (f-gk*hk)/y^k */

subsfum(COEF(f)[k],COEF(fk)[k],wt);

/* clear wq */

bzero(COEF(wq),(n+1)*sizeof(int));

/* compute wf1,wg1 s.t. wh1*g0+wg1*h0 = wt */

mulsfum(wa,wt,wh1); DEG(wh1) = divsfum(wh1,h0,q);

mulsfum(wh1,g0,wc); subsfum(wt,wc,wd); DEG(wd) = divsfum(wd,h0,wg1);

Line 900 BM *gp;

Line 818 BM *gp;

error("henmain2 : cannot happen");

#endif

/* fk += ((wg1*hk+wh1*gk)*y^k+wg1*wh1*y^(2*k) mod y^bound */

/* fk += ((wg1*hk+wh1*gk)*y^k+wg1*wh1*y^(2*k) mod y^(dy+1) */

/* wb0 = wh1*y^k */

clearsfbm(bound,n,wb0);

clearbm(dx,wb0);

DEG(wb0) = bound;

cpyum(wh1,COEF(wb0)[k]);

/* wb1 = gk*wb0 mod y^bound */

/* wb1 = gk*wb0 mod y^(dy+1) */

clearsfbm(bound,n,wb1);

clearbm(dx,wb1);

mulsfbm(bound,gk,wb0,wb1);

mulsfbm(gk,wb0,wb1);

/* fk += wb1 */

addtosfbm(bound,wb1,fk);

addtosfbm(wb1,fk);

/* wb0 = wg1*y^k */

clearsfbm(bound,n,wb0);

clearbm(dx,wb0);

DEG(wb0) = bound;

cpyum(wg1,COEF(wb0)[k]);

/* wb1 = hk*wb0 mod y^bound */

/* wb1 = hk*wb0 mod y^(dy+1) */

clearsfbm(bound,n,wb1);

clearbm(dx,wb1);

mulsfbm(bound,hk,wb0,wb1);

mulsfbm(hk,wb0,wb1);

/* fk += wb1 */

addtosfbm(bound,wb1,fk);

addtosfbm(wb1,fk);

/* fk += wg1*wh1*y^(2*k) mod y^bound */

/* fk += wg1*wh1*y^(2*k) mod y^(dy+1) */

if ( 2*k < bound ) {

if ( 2*k <= dy ) {

mulsfum(wg1,wh1,wt); addsfum(COEF(fk)[2*k],wt,ws);

cpyum(ws,COEF(fk)[2*k]);

}

Line 935 BM *gp;

Line 851 BM *gp;

}

fprintf(stderr,"\n");

*gp = gk;

DEG(f) = bound;

DEG(f) = dy;

for ( i = 0; i < bound; i++ )

for ( i = 0; i <= dy; i++ )

cpyum(COEF(hk)[i],COEF(f)[i]);

}

void ptosflum(bound,f,fl)

int bound;

P f;

LUM fl;

{

DCP dc;

int **pp;

int d;

UM t;

t = UMALLOC(bound);

for ( dc = DC(f), pp = COEF(fl); dc; dc = NEXT(dc) ) {

d = QTOS(DEG(dc));

ptosfum(COEF(dc),t);

bcopy(t->c,pp[d],(t->d+1)*sizeof(int));

}

/* fl->c[i] = coef_y(f,i) */

void ptosfbm(bound,f,fl)

void ptosfbm(dy,f,fl)

int bound;

int dy;

P f;

BM fl;

{

DCP dc;

int d,i,n;

int d,i,dx;

UM t;

n = QTOS(DEG(DC(f)));

dx = QTOS(DEG(DC(f)));

clearsfbm(bound,n,fl);

if ( DEG(fl) < dy )

DEG(fl) = bound;

error("ptosfbm : invalid input");

t = UMALLOC(bound);

DEG(fl) = dy;

clearbm(dx,fl);

t = UMALLOC(dy);

for ( dc = DC(f); dc; dc = NEXT(dc) ) {

d = QTOS(DEG(dc));

ptosfum(COEF(dc),t);

for ( i = 0; i <= DEG(t); i++ )

COEF(COEF(fl)[i])[d] = COEF(t)[i];

}

for ( i = 0; i < bound; i++ )

for ( i = 0; i <= dy; i++ )

degum(COEF(fl)[i],n);

degum(COEF(fl)[i],dx);

}

/* x : main variable */

void sflumtop(bound,fl,x,y,fp)

void sfbmtop(f,x,y,fp)

int bound;

LUM fl;

V x,y;

P *fp;

{

int i,j,n;

int **c;

UM w;

int *coef;

DCP dc,dct;

n = fl->d;

c = fl->c;

w = W_UMALLOC(bound);

for ( i = 0, dc = 0; i <= n; i++ ) {

coef = c[i];

for ( j = bound-1; j >= 0 && coef[j] == 0; j-- );

if ( j < 0 )

continue;

DEG(w) = j; bcopy(coef,COEF(w),(j+1)*sizeof(int));

NEWDC(dct); STOQ(i,DEG(dct));

sfumtop(y,w,&COEF(dct)); NEXT(dct) = dc; dc = dct;

}

MKP(x,dc,*fp);

}

/* x : main variable */

void sfbmtop(bound,f,x,y,fp)

int bound;

BM f;

V x,y;

P *fp;

{

UM *c;

int i,j,d,a;

int i,j,d,a,dy;

GFS b;

DCP dc0,dc,dct;

dy = DEG(f);

c = COEF(f);

d = DEG(c[0]);

d = degbm(f);

for ( i = 1; i < bound; i++ )

d = MAX(DEG(c[i]),d);

dc0 = 0;

for ( i = 0; i <= d; i++ ) {

dc = 0;

for ( j = 0; j < bound; j++ ) {

for ( j = 0; j <= dy; j++ ) {

if ( DEG(c[j]) >= i && (a = COEF(c[j])[i]) ) {

NEWDC(dct);

STOQ(j,DEG(dct));

Line 1057 P *fp;

Line 926 P *fp;

*fp = 0;

}

void sfsqfr(f,dcp)

P f;

DCP *dcp;

{

P g;

V x;

DCP dc;

VL vl;

simp_ff(f,&g); f = g;

clctv(CO,f,&vl);

if ( !vl ) {

/* f is a const */

NEWDC(dc); DEG(dc) = ONE; COEF(dc) = f; NEXT(dc) = 0; *dcp = dc;

} else if ( !NEXT(vl) )

sfusqfr(f,dcp);

else if ( !NEXT(NEXT(vl)) )

sfbsqfr(f,x,NEXT(vl)->v,dcp);

else

error("sfsqfr : not implemented yet");

}

void sfusqfr(f,dcp)

P f;

DCP *dcp;

{

DCP dc,dct;

struct oDUM *udc;

V x;

P lc;

int n,i;

UM mf;

x = VR(f);

n = getdeg(x,f);

mf = W_UMALLOC(n);

ptosfum(f,mf);

lc = COEF(DC(f));

if ( !_isonesf(COEF(mf)[n]) ) {

monicsfum(mf);

}

W_CALLOC(n+1,struct oDUM,udc);

gensqfrsfum(mf,udc);

for ( i = 0, dc = 0; udc[i].f; i++ ) {

NEWDC(dct); STOQ(udc[i].n,DEG(dct));

sfumtop(x,udc[i].f,&COEF(dct));

NEXT(dct) = dc; dc = dct;

}

NEWDC(dct); DEG(dct) = ONE; COEF(dct) = (P)lc; NEXT(dct) = dc;

*dcp = dct;

}

void sfbsqfr(f,x,y,dcp)

P f;

V x,y;

DCP *dcp;

{

P t,rf,cx,cy;

VL vl,rvl;

DCP dcx,dcy;

struct oVL vl0,vl1;

/* vl = [x,y] */

vl0.v = x; vl0.next = &vl1; vl1.v = y; vl1.next = 0; vl = &vl0;

/* cy(y) = cont(f,x), f /= cx */

cont_pp_sfp(vl,f,&cy,&t); f = t;

/* rvl = [y,x] */

reordvar(vl,y,&rvl); reorderp(rvl,vl,f,&rf);

/* cx(x) = cont(rf,y), Rf /= cy */

cont_pp_sfp(rvl,rf,&cx,&t); rf = t;

reorderp(vl,rvl,rf,&f);

/* f -> cx*cy*f */

sfusqfr(cx,&dcx);

sfusqfr(cy,&dcy);

}

void sfdtest(P,ML,V,V,DCP *);

void sfbfctr(f,x,y,dcp)

Line 1069 DCP *dcp;

Line 1015 DCP *dcp;

GFS ev;

DCP dc,dct;

BM fl;

int n,bound;

int dx,dy;

/* sf(x) = f(x+ev) = list->c[0]*list->c[1]*... */

sfhensel(5,f,x,&ev,&sf,&list);

Line 1082 DCP *dcp;

Line 1028 DCP *dcp;

return;

}

sfdtest(sf,list,x,y,&dc);

n = getdeg(x,sf);

dx = getdeg(x,sf);

bound = list->bound;

dy = getdeg(y,sf);

W_BMALLOC(n,bound,fl);

W_BMALLOC(dx,dy,fl);

for ( dct = dc; dct; dct = NEXT(dct) ) {

ptosfbm(bound,COEF(dct),fl);

ptosfbm(dy,COEF(dct),fl);

shiftsfbm(bound,fl,_chsgnsf(FTOIF(CONT(ev))));

shiftsfbm(fl,_chsgnsf(FTOIF(CONT(ev))));

sfbmtop(bound,fl,x,y,&COEF(dct));

sfbmtop(fl,x,y,&COEF(dct));

}

*dcp = dc;

}

/* f = f(x,y) = list->c[0]*list->c[1]*... mod y^list->bound */

/* f = f(x,y) = list->c[0]*list->c[1]*... mod y^(list->bound+1) */

void sfdtest(f,list,x,y,dcp)

P f;

Line 1101 ML list;

Line 1047 ML list;

V x,y;

DCP *dcp;

{

int n,np,bound;

int np,dx,dy;

int i,j,k;

int *win;

P g,lcg,factor,cofactor,lcyx;

Line 1119 DCP *dcp;

Line 1065 DCP *dcp;

vl0.v = x; vl0.next = &vl1; vl1.v = y; vl1.next = 0; vl = &vl0;

/* setup various structures and arrays */

n = UDEG(f); np = list->n; bound = list->bound; win = W_ALLOC(np+1);

dx = getdeg(x,f);

wlist = W_MLALLOC(np); wlist->n = list->n;

dy = getdeg(y,f);

wlist->bound = list->bound;

np = list->n;

win = W_ALLOC(np+1);

wlist = W_MLALLOC(np);

wlist->n = list->n;

wlist->bound = dy;

c = (BM *)COEF(wlist);

bcopy((char *)COEF(list),(char *)c,(int)(sizeof(BM)*np));

lcg0 = W_UMALLOC(2*bound);

lcg0 = W_UMALLOC(2*dy);

/* initialize g by f */

g = f;

Line 1140 DCP *dcp;

Line 1090 DCP *dcp;

sfcsump(vl,lcg,&csum);

/* initialize lcy by LC(f) */

W_BMALLOC(0,bound,lcy);

W_BMALLOC(0,dy,lcy);

NEWDC(dc); COEF(dc) = COEF(DC(g)); DEG(dc) = 0;

NEWP(lcyx); VR(lcyx) = x; DC(lcyx) = dc;

ptosfbm(bound,lcyx,lcy);

ptosfbm(dy,lcyx,lcy);

fprintf(stderr,"np = %d\n",np);

for ( g = f, k = 1, dcf = dcf0 = 0, win[0] = 1, --np, z = 0; ; z++ ) {

Line 1162 DCP *dcp;

Line 1112 DCP *dcp;

sfcsump(vl,lcg,&csum);

/* update lcy */

clearsfbm(bound,0,lcy);

clearbm(0,lcy);

COEF(dc) = COEF(DC(g)); ptosfbm(bound,lcyx,lcy);

COEF(dc) = COEF(DC(g));

ptosfbm(dy,lcyx,lcy);

for ( i = 0; i < k - 1; i++ )

for ( j = win[i] + 1; j < win[i + 1]; j++ )

Line 1205 int k;

Line 1156 int k;

int *in;

P *fp,*cofp;

{

P fmul,csumg,q;

P fmul,csumg,q,cont;

V x,y;

x = vl->v;

Line 1221 P *fp,*cofp;

Line 1172 P *fp,*cofp;

}

if ( divtp_by_sfbm(vl,lcg,fmul,&q) ) {

pp_sfp(vl,fmul,fp);

cont_pp_sfp(vl,fmul,&cont,fp);

pp_sfp(vl,q,cofp);

cont_pp_sfp(vl,q,&cont,cofp);

return 1;

} else

return 0;

Line 1241 UM c;

Line 1192 UM c;

DEG(c) = -1;

}

void const_term_sfbm(f,bound,c)

void const_term_sfbm(f,c)

BM f;

int bound;

UM c;

{

int i;

int i,dy;

for ( i = 0; i < bound; i++ )

dy = DEG(f);

for ( i = 0; i <= dy; i++ )

if ( DEG(COEF(f)[i]) >= 0 )

COEF(c)[i] = COEF(COEF(f)[i])[0];

else

COEF(c)[i] = 0;

degum(c,bound-1);

degum(c,dy);

}

/* lcy*(product of const part) | lcg0 ? */

Line 1266 int k;

Line 1217 int k;

int *in;

{

DCP dc;

int bound,i,dr;

int dy,i,dr;

UM t,s,u,w;

BM *l;

bound = list->bound;

dy = list->bound;

t = W_UMALLOC(2*bound);

t = W_UMALLOC(2*dy);

s = W_UMALLOC(2*bound);

s = W_UMALLOC(2*dy);

u = W_UMALLOC(2*bound);

u = W_UMALLOC(2*dy);

const_term_sfbm(lcy,bound,t);

const_term_sfbm(lcy,t);

if ( DEG(t) < 0 )

return 1;

l = (BM *)list->c;

for ( i = 0; i < k; i++ ) {

const_term_sfbm(l[in[i]],bound,s);

const_term_sfbm(l[in[i]],s);

mulsfum(t,s,u);

if ( DEG(u) >= bound )

if ( DEG(u) > dy )

degum(u,bound-1);

degum(u,dy);

w = t; t = u; u = w;

}

cpyum(lcg0,s);

Line 1296 int *in;

Line 1247 int *in;

/* main var of f is x */

void mulsfbmarray(n,lcy,list,k,in,x,y,g)

void mulsfbmarray(dx,lcy,list,k,in,x,y,g)

int n;

int dx;

BM lcy;

ML list;

int k;

Line 1305 int *in;

Line 1256 int *in;

V x,y;

P *g;

{

int bound,i;

int dy,i;

BM wb0,wb1,t,lcbm;

BM *l;

bound = list->bound;

dy = list->bound;

W_BMALLOC(n,bound,wb0); W_BMALLOC(n,bound,wb1);

W_BMALLOC(dx,dy,wb0); W_BMALLOC(dx,dy,wb1);

l = (BM *)list->c;

clearsfbm(bound,n,wb0);

clearbm(dx,wb0);

mulsfbm(bound,lcy,l[in[0]],wb0);

mulsfbm(lcy,l[in[0]],wb0);

for ( i = 1; i < k; i++ ) {

clearsfbm(bound,n,wb1);

clearbm(dx,wb1);

mulsfbm(bound,l[in[i]],wb0,wb1);

mulsfbm(l[in[i]],wb0,wb1);

t = wb0; wb0 = wb1; wb1 = t;

}

sfbmtop(bound,wb0,x,y,g);

sfbmtop(wb0,x,y,g);

}

void sfcsump(vl,f,s)

Line 1338 P *s;

Line 1289 P *s;

/* *fp = primitive part of f w.r.t. x */

void pp_sfp(vl,f,fp)

void cont_pp_sfp(vl,f,cp,fp)

VL vl;

P f;

P *fp;

P *cp,*fp;

{

V x,y;

int d;

UM t,s,gcd;

DCP dc;

P dvr;

GFS g;

x = vl->v;

y = vl->next->v;

d = getdeg(y,f);

if ( d == 0 )

if ( d == 0 ) {

MKGFS(0,g);

*cp = (P)g;

*fp = f; /* XXX */

else {

} else {

t = W_UMALLOC(2*d);

s = W_UMALLOC(2*d);

gcd = W_UMALLOC(2*d);

Line 1365 P *fp;

Line 1318 P *fp;

gcdsfum(gcd,t,s);

cpyum(s,gcd);

}

sfumtop(y,gcd,&dvr);

sfumtop(y,gcd,cp);

divsp(vl,f,dvr,fp);

divsp(vl,f,*cp,fp);

}

Line 1388 P *qp;

Line 1341 P *qp;

if ( fx < gx || fy < gy )

return 0;

W_BMALLOC(fx,fy+1,fl); ptosfbm(fy+1,f,fl); cf = COEF(fl);

W_BMALLOC(fx,fy,fl); ptosfbm(fy,f,fl); cf = COEF(fl);

W_BMALLOC(gx,gy+1,gl); ptosfbm(gy+1,g,gl); cg = COEF(gl);

W_BMALLOC(gx,gy,gl); ptosfbm(gy,g,gl); cg = COEF(gl);

W_BMALLOC(fx-gx,fy-gy+1,ql); cq = COEF(ql);

W_BMALLOC(fx-gx,fy-gy,ql); cq = COEF(ql);

hg = cg[gy];

q = W_UMALLOC(fx); t = W_UMALLOC(fx); s = W_UMALLOC(fx);

Line 1413 P *qp;

Line 1366 P *qp;

for ( j = gy-1; j >= 0 && DEG(cf[j]) < 0; j-- );

if ( j >= 0 )

return 0;

sfbmtop(DEG(ql),ql,x,y,qp);

sfbmtop(ql,x,y,qp);

}

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