version 1.1, 2002/09/26 04:33:16 |
version 1.3, 2002/09/27 08:40:48 |
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/* $OpenXM$ */ |
/* $OpenXM: OpenXM_contrib2/asir2000/engine/Fgfs.c,v 1.2 2002/09/26 09:07:42 noro Exp $ */ |
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#include "ca.h" |
#include "ca.h" |
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void cont_pp_mv_sf(VL vl,VL rvl,P p,P *c,P *pp); |
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void gcdsf_main(VL vl,P *pa,int m,P *r); |
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void ugcdsf(P *pa,int m,P *r); |
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void head_monomial(V v,P p,P *coef,P *term); |
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void gcdsf(VL vl,P *pa,int k,P *r) |
void gcdsf(VL vl,P *pa,int k,P *r) |
{ |
{ |
P *ps,*pl,*pm,*cp; |
P *ps,*pl,*pm; |
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P **cp; |
int *cn; |
int *cn; |
DCP *ml; |
DCP *ml; |
Obj obj; |
Obj obj; |
Line 17 void gcdsf(VL vl,P *pa,int k,P *r) |
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Line 22 void gcdsf(VL vl,P *pa,int k,P *r) |
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for ( i = 0, m = 0; i < k; i++ ) { |
for ( i = 0, m = 0; i < k; i++ ) { |
simp_ff((Obj)pa[i],&obj); |
simp_ff((Obj)pa[i],&obj); |
if ( obj ) |
if ( obj ) |
ps[m++] = obj; |
ps[m++] = (P)obj; |
} |
} |
if ( !m ) { |
if ( !m ) { |
*r = 0; |
*r = 0; |
return; |
return; |
} |
} |
if ( m == 1 ) { |
if ( m == 1 ) { |
*r = BDY(n0); |
*r = ps[0]; |
return; |
return; |
} |
} |
pl = (P *)ALLOCA(m*sizeof(P)); |
pl = (P *)ALLOCA(m*sizeof(P)); |
ml = (DCP *)ALLOCA(m*sizeof(DCP)); |
ml = (DCP *)ALLOCA(m*sizeof(DCP)); |
for ( i = 0; i < m; i++ ) |
for ( i = 0; i < m; i++ ) |
monomialfctr(vl,ps[i],&pl[i],&ml[i]); |
monomialfctr(vl,ps[i],&pl[i],&ml[i]); |
gcdmonomial(vl,ml,m,&mg); simp_ff(mg,&mgsf); |
gcdmonomial(vl,ml,m,&mg); simp_ff((Obj)mg,&obj); mgsf = (P)obj; |
for ( i = 0, nvl = vl, avl = 0; nvl && i < m; i++ ) { |
for ( i = 0, nvl = vl, avl = 0; nvl && i < m; i++ ) { |
clctv(vl,pl[i],&tvl); |
clctv(vl,pl[i],&tvl); |
intersectv(nvl,tvl,&svl); nvl = svl; |
intersectv(nvl,tvl,&svl); nvl = svl; |
Line 73 void gcdsf(VL vl,P *pa,int k,P *r) |
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Line 78 void gcdsf(VL vl,P *pa,int k,P *r) |
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void ugcdsf(P *pa,int m,P *r) |
void ugcdsf(P *pa,int m,P *r) |
{ |
{ |
P *pa; |
P *ps; |
int i; |
int i; |
UM w1,w2,w3,w; |
UM w1,w2,w3,w; |
int d; |
int d; |
Line 83 void ugcdsf(P *pa,int m,P *r) |
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Line 88 void ugcdsf(P *pa,int m,P *r) |
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*r = pa[0]; |
*r = pa[0]; |
return; |
return; |
} |
} |
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for ( i = 0; i < m; i++ ) |
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if ( NUM(pa[i]) ) { |
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itogfs(1,r); |
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return; |
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} |
ps = (P *)ALLOCA(m*sizeof(P)); |
ps = (P *)ALLOCA(m*sizeof(P)); |
v = VR(pa[0]); |
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sort_by_deg(m,pa,ps); |
sort_by_deg(m,pa,ps); |
d = getdeg(ps[m-1],v); |
v = VR(ps[m-1]); |
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d = getdeg(v,ps[m-1]); |
w1 = W_UMALLOC(d); |
w1 = W_UMALLOC(d); |
w2 = W_UMALLOC(d); |
w2 = W_UMALLOC(d); |
w3 = W_UMALLOC(d); |
w3 = W_UMALLOC(d); |
Line 96 void ugcdsf(P *pa,int m,P *r) |
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Line 106 void ugcdsf(P *pa,int m,P *r) |
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gcdsfum(w1,w2,w3); |
gcdsfum(w1,w2,w3); |
w = w1; w1 = w3; w3 = w; |
w = w1; w1 = w3; w3 = w; |
if ( !DEG(w1) ) { |
if ( !DEG(w1) ) { |
MKGFS(0,*r); |
itogfs(1,r); |
return; |
return; |
} |
} |
} |
} |
Line 108 void ugcdsf(P *pa,int m,P *r) |
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Line 118 void ugcdsf(P *pa,int m,P *r) |
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void gcdsf_main(VL vl,P *pa,int m,P *r) |
void gcdsf_main(VL vl,P *pa,int m,P *r) |
{ |
{ |
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int nv,i,i0,imin,d,d0,d1,d2,dmin,index; |
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V v,v0,vmin; |
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VL tvl,nvl,rvl,nvl0,rvl0; |
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P *pc, *ps, *ph,*lps; |
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P x,t,cont,hg,g,hm,mod,s; |
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P hge,ge,ce,he,u,cof1e,mode,mod1,adj,cof1,coadj,q; |
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GFS sf; |
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for ( nv = 0, tvl = vl; tvl; tvl = NEXT(tvl), nv++); |
for ( nv = 0, tvl = vl; tvl; tvl = NEXT(tvl), nv++); |
if ( nv == 1 ) { |
if ( nv == 1 ) { |
ugcdsf(pa,m,r); |
ugcdsf(pa,m,r); |
Line 119 void gcdsf_main(VL vl,P *pa,int m,P *r) |
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Line 137 void gcdsf_main(VL vl,P *pa,int m,P *r) |
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v = tvl->v; |
v = tvl->v; |
i = 0; |
i = 0; |
do { |
do { |
d = getdeg(pa[i],v); |
d = getdeg(v,pa[i]); |
if ( i == 0 || (d < d0) ) { |
if ( i == 0 || (d < d0) ) { |
d0 = d; i0 = i; v0 = v; |
d0 = d; i0 = i; v0 = v; |
} |
} |
Line 136 void gcdsf_main(VL vl,P *pa,int m,P *r) |
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Line 154 void gcdsf_main(VL vl,P *pa,int m,P *r) |
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NEXTVL(rvl0,rvl); rvl->v = tvl->v; |
NEXTVL(rvl0,rvl); rvl->v = tvl->v; |
} |
} |
/* rvl = remaining variables */ |
/* rvl = remaining variables */ |
NEXT(rvl) = 0; |
NEXT(rvl) = 0; rvl = rvl0; |
/* nvl = ...,vmin */ |
/* nvl = ...,vmin */ |
NEXTVL(nvl0,nvl); nvl->v = vmin; NEXT(nvl) = 0; |
NEXTVL(nvl0,nvl); nvl->v = vmin; NEXT(nvl) = 0; nvl = nvl0; |
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MKV(vmin,x); |
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/* for content and primitive part */ |
/* for content and primitive part */ |
pc = (P *)ALLOCA(m*sizeof(P)); |
pc = (P *)ALLOCA(m*sizeof(P)); |
Line 146 void gcdsf_main(VL vl,P *pa,int m,P *r) |
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Line 165 void gcdsf_main(VL vl,P *pa,int m,P *r) |
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ph = (P *)ALLOCA(m*sizeof(P)); |
ph = (P *)ALLOCA(m*sizeof(P)); |
/* separate the contents */ |
/* separate the contents */ |
for ( i = 0; i < m; i++ ) { |
for ( i = 0; i < m; i++ ) { |
reorderp(vl,nvl,pa[i],&t); |
reorderp(nvl,vl,pa[i],&t); |
cont_pp_mv_sf(nvl,rvl,t,&pc[i],&ps[i]); |
cont_pp_mv_sf(nvl,rvl,t,&pc[i],&ps[i]); |
head_monomial(vmin,ps[i],&ph[i],&t); |
head_monomial(vmin,ps[i],&ph[i],&t); |
} |
} |
Line 160 void gcdsf_main(VL vl,P *pa,int m,P *r) |
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Line 179 void gcdsf_main(VL vl,P *pa,int m,P *r) |
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while ( 1 ) { |
while ( 1 ) { |
g = 0; |
g = 0; |
cofmin = 0; |
cof1 = 0; |
hm = 0; |
hm = 0; |
MKGFS(0,mod); |
itogfs(1,&mod); |
index = 0; |
index = 0; |
while ( getdeg(mod,vmin) <= d+1 ) { |
for ( index = 0; getdeg(vmin,mod) <= d+1; index++ ) { |
/* evaluation pt */ |
/* evaluation pt */ |
MKGFS(index,s); |
indextogfs(index,&s); |
substp(nvl,hg,vmin,s,&hge); |
substp(nvl,hg,vmin,s,&hge); |
if ( !hge ) |
if ( !hge ) |
continue; |
continue; |
Line 175 void gcdsf_main(VL vl,P *pa,int m,P *r) |
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Line 194 void gcdsf_main(VL vl,P *pa,int m,P *r) |
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/* ge = GCD(ps[0]|x=s,...,ps[m-1]|x=s) */ |
/* ge = GCD(ps[0]|x=s,...,ps[m-1]|x=s) */ |
gcdsf(nvl,ph,m,&ge); |
gcdsf(nvl,ph,m,&ge); |
head_monomial(vmin,ge,&ce,&he); |
head_monomial(vmin,ge,&ce,&he); |
if ( NUM(hge) ) { |
if ( NUM(he) ) { |
*r = cont; |
*r = cont; |
return; |
return; |
} |
} |
divgfs(hge,ce,&t); mulp(nvl,t,ge,&u); ge = u; |
divgfs((GFS)hge,(GFS)ce,&sf); t = (P)sf; |
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mulp(nvl,t,ge,&u); ge = u; |
divsp(nvl,ph[imin],ge,&t); mulp(nvl,hge,t,&cof1e); |
divsp(nvl,ph[imin],ge,&t); mulp(nvl,hge,t,&cof1e); |
if ( !hm || !cmpp(he,hm) ) { |
/* hm=0 : reset; he==hm : lucky */ |
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if ( !hm || !compp(nvl,he,hm) ) { |
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substp(nvl,mod,vmin,s,&mode); divsp(nvl,mod,mode,&mod1); |
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/* adj = mod/(mod|x=s)*(ge-g|x=s) */ |
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substp(nvl,g,vmin,s,&t); |
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subp(nvl,ge,t,&u); mulp(nvl,mod1,u,&adj); |
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/* coadj = mod/(mod|vmin=s)*(cof1e-cof1e|vmin=s) */ |
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substp(nvl,cof1,vmin,s,&t); |
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subp(nvl,cof1e,t,&u); mulp(nvl,mod1,u,&coadj); |
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if ( !adj ) { |
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/* adj == gcd ? */ |
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for ( i = 0; i < m; i++ ) |
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if ( !divtp(nvl,lps[i],g,&t) ) |
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break; |
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if ( i == m ) { |
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cont_pp_mv_sf(nvl,rvl,g,&t,&u); |
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mulp(nvl,cont,u,&t); |
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reorderp(vl,nvl,t,r); |
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return; |
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} |
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} else if ( !coadj ) { |
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/* ps[imin]/coadj == gcd ? */ |
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if ( divtp(nvl,lps[imin],cof1,&q) ) { |
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for ( i = 0; i < m; i++ ) |
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if ( !divtp(nvl,lps[i],q,&t) ) |
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break; |
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if ( i == m ) { |
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cont_pp_mv_sf(nvl,rvl,q,&t,&u); |
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mulp(nvl,cont,u,&t); |
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reorderp(vl,nvl,t,r); |
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return; |
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} |
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} |
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} |
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addp(nvl,g,adj,&t); g = t; |
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addp(nvl,cof1,coadj,&t); cof1 = t; |
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subp(nvl,x,s,&t); mulp(nvl,mod,t,&u); mod = u; |
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hm = he; |
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} else { |
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d1 = homdeg(hm); d2 = homdeg(he); |
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if ( d1 < d2 ) /* we use current hm */ |
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continue; |
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else if ( d1 > d2 ) { |
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/* use he */ |
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g = ge; |
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cof1 = cof1e; |
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hm = he; |
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subp(nvl,x,s,&mod); |
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} else { |
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/* d1==d2, but hm!=he => both are unlucky */ |
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g = 0; |
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cof1 = 0; |
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itogfs(1,&mod); |
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} |
} |
} |
} |
} |
} |
} |
Line 192 void head_monomial(V v,P p,P *coef,P *term) |
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Line 265 void head_monomial(V v,P p,P *coef,P *term) |
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P t,s,u; |
P t,s,u; |
DCP dc; |
DCP dc; |
GFS one; |
GFS one; |
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VL vl; |
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MKGFS(0,one); t = one; |
itogfs(1,&one); |
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t = (P)one; |
while ( 1 ) { |
while ( 1 ) { |
if ( NUM(p) || VR(p) == v ) { |
if ( NUM(p) || VR(p) == v ) { |
*coef = p; |
*coef = p; |
*term = t; |
*term = t; |
return; |
return; |
} else { |
} else { |
NEWDC(dc); MKGFS(0,one); |
NEWDC(dc); |
COEF(dc) = one; DEG(dc) = DEG(DC(p)); |
COEF(dc) = (P)one; DEG(dc) = DEG(DC(p)); |
MKP(VR(p),dc,s); |
MKP(VR(p),dc,s); |
mulp(vl,t,s,&u); t = u; |
mulp(vl,t,s,&u); t = u; |
p = COEF(DC(p)); |
p = COEF(DC(p)); |
Line 219 void cont_pp_mv_sf(VL vl,VL rvl,P p,P *c,P *pp) |
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Line 294 void cont_pp_mv_sf(VL vl,VL rvl,P p,P *c,P *pp) |
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ptod(vl,rvl,p,&dp); |
ptod(vl,rvl,p,&dp); |
for ( t = BDY(dp), m = 0; t; t = NEXT(t), m++ ); |
for ( t = BDY(dp), m = 0; t; t = NEXT(t), m++ ); |
ps = (P *)ALLOCA(m*sizeof(P)); |
ps = (P *)ALLOCA(m*sizeof(P)); |
for ( t = BDY(dp), i = 0; t; t = NEXT(t), i++ ); |
for ( t = BDY(dp), i = 0; t; t = NEXT(t), i++ ) |
ps[i] = C(t); |
ps[i] = C(t); |
ugcdsf(ps,m,c); |
ugcdsf(ps,m,c); |
divsp(vl,p,c,pp); |
divsp(vl,p,*c,pp); |
} |
} |