OpenXM_contrib2/asir2000/builtin/gr.c - diff

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Diff for /OpenXM_contrib2/asir2000/builtin/gr.c between version 1.16 and 1.32

version 1.16, 2000/12/08 06:43:09

version 1.32, 2001/09/17 07:16:58

Line 45

* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,

* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.

* $OpenXM: OpenXM_contrib2/asir2000/builtin/gr.c,v 1.15 2000/12/08 04:35:30 noro Exp $

* $OpenXM: OpenXM_contrib2/asir2000/builtin/gr.c,v 1.31 2001/09/17 02:47:07 noro Exp $

#include "ca.h"

#include "parse.h"

#include "base.h"

#include "ox.h"

#if defined(__GNUC__)

#define INLINE inline

#elif defined(VISUAL)

#define INLINE __inline

#else

#define INLINE

#endif

#define ITOS(p) (((unsigned int)(p))&0x7fffffff)

#define STOI(i) ((P)((unsigned int)(i)|0x80000000))

Line 85 extern int do_weyl;

Line 93 extern int do_weyl;

extern DP_Print;

void dptoca(DP,unsigned int **);

void _tf_to_vect_compress(NODE,DL *,CDP *);

NODE mul_dllist(DL,DP);

void dp_imul_d(DP,Q,DP *);

void print_stat(void);

void init_stat(void);

Line 106 DP_pairs criterion_B(DP_pairs,int);

Line 117 DP_pairs criterion_B(DP_pairs,int);

DP_pairs newpairs(NODE,int);

DP_pairs updpairs(DP_pairs,NODE,int);

void _dp_nf(NODE,DP,DP *,int,DP *);

void _dp_nf_ptozp(NODE,DP,DP *,int,int,DP *);

void _dp_nf_z(NODE,DP,DP *,int,int,DP *);

NODE gb_mod(NODE,int);

NODE gbd(NODE,int,NODE,NODE);

NODE gb(NODE,int,NODE);

Line 135 void pltovl(LIST,VL *);

Line 146 void pltovl(LIST,VL *);

void printdl(DL);

int DPPlength(DP_pairs);

void dp_gr_mod_main(LIST,LIST,Num,int,struct order_spec *,LIST *);

void dp_gr_main(LIST,LIST,Num,int,struct order_spec *,LIST *);

void dp_gr_main(LIST,LIST,Num,int,int,struct order_spec *,LIST *);

void dp_f4_main(LIST,LIST,struct order_spec *,LIST *);

void dp_f4_mod_main(LIST,LIST,int,struct order_spec *,LIST *);

double get_rtime();

Line 180 static int PtozpRA = 0;

Line 191 static int PtozpRA = 0;

int doing_f4;

NODE TraceList;

NODE AllTraceList;

int eqdl(nv,dl1,dl2)

INLINE int eqdl(nv,dl1,dl2)

int nv;

DL dl1,dl2;

{

Line 216 int *b;

Line 228 int *b;

}

/* [t,findex] -> tf -> compressed vector */

void _tf_to_vect_compress(tf,at,b)

NODE tf;

DL *at;

CDP *b;

{

int i,j,k,nv,len;

DL t,s,d1;

DP f;

MP m;

CDP r;

t = (DL)BDY(tf);

f = ps[(int)BDY(NEXT(tf))];

nv = f->nv;

for ( m = BDY(f), len = 0; m; m = NEXT(m), len++ );

r = (CDP)MALLOC(sizeof(struct oCDP));

r->len = len;

r->psindex = (int)BDY(NEXT(tf));

r->body = (unsigned short *)MALLOC_ATOMIC(sizeof(unsigned short)*len);

NEWDL(s,nv);

for ( m = BDY(f), i = j = 0; m; m = NEXT(m), j++ ) {

d1 = m->dl;

s->td = t->td+d1->td;

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

s->d[k] = t->d[k]+d1->d[k];

for ( ; !eqdl(nv,s,at[i]); i++ );

r->body[j] = i;

}

*b = r;

}

void dp_to_vect(f,at,b)

DP f;

DL *at;

Line 247 DP f;

Line 294 DP f;

return mp0;

}

NODE mul_dllist(d,f)

DL d;

DP f;

{

MP m;

NODE mp,mp0;

DL t,d1;

int i,nv;

if ( !f )

return 0;

nv = NV(f);

mp0 = 0;

for ( m = BDY(f); m; m = NEXT(m) ) {

NEXTNODE(mp0,mp);

NEWDL(t,nv);

d1 = m->dl;

t->td = d->td+d1->td;

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

t->d[i] = d->d[i]+d1->d[i];

BDY(mp) = (pointer)t;

}

NEXT(mp) = 0;

return mp0;

}

void pdl(f)

NODE f;

{

Line 257 NODE f;

Line 330 NODE f;

printf("\n");

}

void dp_gr_main(f,v,homo,modular,ord,rp)

void dp_gr_main(f,v,homo,modular,field,ord,rp)

LIST f,v;

Num homo;

int modular;

int modular,field;

struct order_spec *ord;

LIST *rp;

{

int i,mindex,m,nochk;

struct order_spec ord1;

Q q;

VL fv,vv,vc;

NODE fd,fd0,fi,fi0,r,r0,t,subst,x,s,xx;

NODE ind,ind0;

LIST trace,gbindex;

mindex = 0; nochk = 0; dp_fcoeffs = 0;

mindex = 0; nochk = 0; dp_fcoeffs = field;

get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&vc);

NVars = length((NODE)vv); PCoeffs = vc ? 1 : 0; VC = vc;

CNVars = homo ? NVars+1 : NVars;

Line 296 LIST *rp;

Line 372 LIST *rp;

modular = -modular; nochk = 1;

}

if ( modular )

m = modular > 1 ? modular : lprime[mindex];

m = modular > 1 ? modular : get_lprime(mindex);

else

m = 0;

makesubst(vc,&subst);

Line 326 LIST *rp;

Line 402 LIST *rp;

if ( modular > 1 ) {

*rp = 0; return;

} else

m = lprime[++mindex];

m = get_lprime(++mindex);

makesubst(vc,&subst);

psn = length(s);

for ( i = psn; i < pslen; i++ ) {

pss[i] = 0; psh[i] = 0; psc[i] = 0; ps[i] = 0;

}

for ( r0 = 0; x; x = NEXT(x) ) {

for ( r0 = 0, ind0 = 0; x; x = NEXT(x) ) {

NEXTNODE(r0,r); dp_load((int)BDY(x),&ps[(int)BDY(x)]);

dtop(CO,vv,ps[(int)BDY(x)],(P *)&BDY(r));

NEXTNODE(ind0,ind);

STOQ((int)BDY(x),q); BDY(ind) = q;

}

if ( r0 ) NEXT(r) = 0;

if ( ind0 ) NEXT(ind) = 0;

MKLIST(*rp,r0);

MKLIST(gbindex,ind0);

if ( GenTrace && OXCheck < 0 ) {

x = AllTraceList;

for ( r = 0; x; x = NEXT(x) ) {

MKNODE(r0,BDY(x),r); r = r0;

}

MKLIST(trace,r);

r0 = mknode(3,*rp,gbindex,trace);

MKLIST(*rp,r0);

}

print_stat();

if ( ShowMag )

fprintf(asir_out,"\nMax_mag=%d\n",Max_mag);

Line 355 LIST *rp;

Line 446 LIST *rp;

VL fv,vv,vc;

NODE fd,fd0,r,r0,t,x,s,xx;

DP a,b,c;

extern struct oEGT eg_red_mod;

get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&vc);

NVars = length((NODE)vv); PCoeffs = vc ? 1 : 0; VC = vc;

Line 392 LIST *rp;

Line 484 LIST *rp;

if ( homo ) {

initd(&ord1); CNVars = NVars+1;

}

/* init_eg(&eg_red_mod); */

x = gb_mod(s,m);

/* print_eg("Red_mod",&eg_red_mod); */

if ( homo ) {

reducebase_dehomo(x,&xx); x = xx;

initd(ord); CNVars = NVars;

Line 416 LIST f,v;

Line 510 LIST f,v;

struct order_spec *ord;

LIST *rp;

{

int i,mindex,m,nochk;

int i,mindex,m,nochk,homogen;

struct order_spec ord1;

VL fv,vv,vc;

NODE fd,fd0,fi,fi0,r,r0,t,subst,x,s,xx;

Line 428 LIST *rp;

Line 522 LIST *rp;

if ( ord->id && NVars != ord->nv )

error("dp_f4_main : invalid order specification");

initd(ord);

for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {

for ( fd0 = 0, t = BDY(f), homogen = 1; t; t = NEXT(t) ) {

NEXTNODE(fd0,fd); ptod(CO,vv,(P)BDY(t),(DP *)&BDY(fd));

if ( homogen )

homogen = dp_homogeneous(BDY(fd));

}

if ( fd0 ) NEXT(fd) = 0;

setup_arrays(fd0,0,&s);

x = gb_f4(s);

reduceall(x,&xx); x = xx;

if ( !homogen ) {

reduceall(x,&xx); x = xx;

}

for ( r0 = 0; x; x = NEXT(x) ) {

NEXTNODE(r0,r); dp_load((int)BDY(x),&ps[(int)BDY(x)]);

dtop(CO,vv,ps[(int)BDY(x)],(P *)&BDY(r));

Line 449 int m;

Line 547 int m;

struct order_spec *ord;

LIST *rp;

{

int i;

int i,homogen;

struct order_spec ord1;

VL fv,vv,vc;

DP b,c,c1;

Line 462 LIST *rp;

Line 560 LIST *rp;

if ( ord->id && NVars != ord->nv )

error("dp_f4_mod_main : invalid order specification");

initd(ord);

for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {

for ( fd0 = 0, t = BDY(f), homogen = 1; t; t = NEXT(t) ) {

ptod(CO,vv,(P)BDY(t),&b);

if ( homogen )

homogen = dp_homogeneous(b);

_dp_mod(b,m,0,&c);

_dp_monic(c,m,&c1);

if ( c ) {

Line 473 LIST *rp;

Line 573 LIST *rp;

if ( fd0 ) NEXT(fd) = 0;

setup_arrays(fd0,m,&s);

x = gb_f4_mod(s,m);

reduceall_mod(x,m,&xx); x = xx;

if ( !homogen ) {

reduceall_mod(x,m,&xx); x = xx;

}

for ( r0 = 0; x; x = NEXT(x) ) {

NEXTNODE(r0,r); _dtop_mod(CO,vv,ps[(int)BDY(x)],(P *)&BDY(r));

}

Line 602 NODE f;

Line 704 NODE f;

/* initial bases are monic */

unsigned int **psca;

NODE gb_f4_mod(f,m)

NODE f;

int m;

Line 612 int m;

Line 716 int m;

DP_pairs d,dm,dr,t;

DP h,nf,f1,f2,f21,f21r,sp,sp1,sd,sdm,tdp;

MP mp,mp0;

NODE blist,bt,nt;

NODE blist,bt,nt,bt1,dt,rhtlist;

DL *ht,*at,*st;

int **spmat,**redmat;

int **spmat;

int *colstat,*w;

CDP *redmat;

int *colstat,*w,*w1;

int rank,nred,nsp,nonzero,spcol;

int *indred,*isred,*ri;

int *indred,*isred;

CDP ri;

int pscalen;

struct oEGT tmp0,tmp1,tmp2,eg_split_symb,eg_split_elim1,eg_split_elim2;

extern struct oEGT eg_symb,eg_elim1,eg_elim2;

/* initialize coeffcient array list of ps[] */

pscalen = pslen;

psca = (unsigned int **)MALLOC(pscalen*sizeof(unsigned int *));

init_eg(&eg_symb); init_eg(&eg_elim1); init_eg(&eg_elim2);

for ( gall = g = 0, d = 0, r = f; r; r = NEXT(r) ) {

i = (int)BDY(r);

d = updpairs(d,g,i);

g = updbase(g,i);

gall = append_one(gall,i);

dptoca(ps[i],&psca[i]);

}

if ( gall )

nv = ((DP)ps[(int)BDY(gall)])->nv;

Line 644 int m;

Line 756 int m;

s0 = symb_merge(s0,dp_dllist(sp),nv);

}

/* s0 : all the terms appeared in symbolic redunction */

/* s0 : all the terms appeared in symbolic reduction */

for ( s = s0, nred = 0; s; s = NEXT(s) ) {

for ( r = gall; r; r = NEXT(r) )

if ( _dl_redble(BDY(ps[(int)BDY(r)])->dl,BDY(s),nv) )

Line 652 int m;

Line 764 int m;

if ( r ) {

dltod(BDY(s),nv,&tdp);

dp_subd(tdp,ps[(int)BDY(r)],&sd);

_dp_mod(sd,m,0,&sdm);

dt = mul_dllist(BDY(sd)->dl,ps[(int)BDY(r)]);

mulmd_dup(m,sdm,ps[(int)BDY(r)],&f2);

/* list of [t,f] */

MKNODE(bt,f2,blist); blist = bt;

bt1 = mknode(2,BDY(sd)->dl,BDY(r));

s = symb_merge(s,dp_dllist(f2),nv);

MKNODE(bt,bt1,blist); blist = bt;

symb_merge(s,dt,nv);

nred++;

}

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

init_eg(&eg_split_symb); add_eg(&eg_split_symb,&tmp0,&tmp1);

/* the first nred polys in blist are reducers */

/* row = the number of all the polys */

for ( r = blist, row = 0; r; r = NEXT(r), row++ );

/* head terms of reducers */

ht = (DL *)MALLOC(nred*sizeof(DL));

for ( r = blist, i = 0; i < nred; r = NEXT(r), i++ )

ht[i] = BDY((DP)BDY(r))->dl;

/* col = number of all terms */

for ( s = s0, col = 0; s; s = NEXT(s), col++ );

Line 684 int m;

Line 789 int m;

nsp = row-nred;

/* reducer matrix */

redmat = (int **)almat(nred,col);

/* indred : register the position of the head term */

redmat = (CDP *)MALLOC(nred*sizeof(CDP));

for ( i = 0, r = blist; i < nred; r = NEXT(r), i++ )

_dpmod_to_vect(BDY(r),at,redmat[i]);

_tf_to_vect_compress(BDY(r),at,&redmat[i]);

/* XXX */

/* reduce_reducers_mod(redmat,nred,col,m); */

/* register the position of the head term */

indred = (int *)MALLOC(nred*sizeof(int));

indred = (int *)MALLOC_ATOMIC(nred*sizeof(int));

bzero(indred,nred*sizeof(int));

isred = (int *)MALLOC(col*sizeof(int));

isred = (int *)MALLOC_ATOMIC(col*sizeof(int));

bzero(isred,col*sizeof(int));

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

ri = redmat[i];

for ( j = 0; j < col && !ri[j]; j++ );

indred[i] = ri->body[0];

indred[i] = j;

isred[indred[i]] = 1;

isred[j] = 1;

}

spcol = col-nred;

Line 707 int m;

Line 811 int m;

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

if ( !isred[j] )

st[k++] = at[j];

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

init_eg(&eg_split_symb); add_eg(&eg_split_symb,&tmp0,&tmp1);

get_eg(&tmp1);

/* spoly matrix; stored in reduced form; terms in ht[] are omitted */

spmat = almat(nsp,spcol);

spmat = (int **)MALLOC(nsp*sizeof(int *));

w = (int *)MALLOC(col*sizeof(int));

w = (int *)MALLOC_ATOMIC(col*sizeof(int));

for ( ; i < row; r = NEXT(r), i++ ) {

/* skip reducers in blist */

for ( i = 0, r = blist; i < nred; r = NEXT(r), i++ );

for ( i = 0; r; r = NEXT(r) ) {

bzero(w,col*sizeof(int));

_dpmod_to_vect(BDY(r),at,w);

reduce_sp_by_red_mod(w,redmat,indred,nred,col,m);

reduce_sp_by_red_mod_compress(w,redmat,indred,nred,col,m);

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

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

if ( !isred[j] )

if ( w[j] )

spmat[i-nred][k++] = w[j];

break;

if ( j < col ) {

w1 = (int *)MALLOC_ATOMIC(spcol*sizeof(int));

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

if ( !isred[j] )

w1[k++] = w[j];

spmat[i] = w1;

i++;

}

/* update nsp */

nsp = i;

/* XXX free redmat explicitly */

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

GC_free(BDY(redmat[k]));

GC_free(redmat[k]);

}

get_eg(&tmp0); add_eg(&eg_elim1,&tmp1,&tmp0);

init_eg(&eg_split_elim1); add_eg(&eg_split_elim1,&tmp1,&tmp0);

colstat = (int *)MALLOC_ATOMIC(spcol*sizeof(int));

bzero(colstat,spcol*sizeof(int));

for ( i = 0, nonzero=0; i < nsp; i++ )

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

if ( spmat[i][j] )

nonzero++;

if ( DP_Print )

if ( DP_Print && nsp )

fprintf(asir_out,"spmat : %d x %d (nonzero=%f%%)...",

nsp,spcol,((double)nonzero*100)/(nsp*spcol));

rank = generic_gauss_elim_mod(spmat,nsp,spcol,m,colstat);

if ( nsp )

rank = generic_gauss_elim_mod(spmat,nsp,spcol,m,colstat);

else

rank = 0;

get_eg(&tmp1); add_eg(&eg_elim2,&tmp0,&tmp1);

init_eg(&eg_split_elim2); add_eg(&eg_split_elim2,&tmp0,&tmp1);

Line 743 int m;

Line 872 int m;

print_eg("Elim2",&eg_split_elim2);

fprintf(asir_out,"\n");

}

if ( !rank )

continue;

for ( j = 0, i = 0; j < spcol; j++ )

if ( colstat[j] ) {

mp0 = 0;

Line 755 int m;

Line 888 int m;

NEXT(mp) = 0;

MKDP(nv,mp0,nf); nf->sugar = dm->sugar;

nh = newps_mod(nf,m);

if ( nh == pscalen ) {

psca = (unsigned int **)

REALLOC(psca,2*pscalen*sizeof(unsigned int *));

pscalen *= 2;

}

dptoca(ps[nh],&psca[nh]);

d = updpairs(d,g,nh);

g = updbase(g,nh);

gall = append_one(gall,nh);

i++;

}

/* XXX free spmat[] explicitly */

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

GC_free(spmat[j]);

}

if ( DP_Print ) {

print_eg("Symb",&eg_symb);

Line 897 int m;

Line 1041 int m;

int i;

NODE s,s0,f0;

#if 1

f0 = f = NODE_sortb(f,1);

#else

f0 = f;

#endif

psn = length(f); pslen = 2*psn;

ps = (DP *)MALLOC(pslen*sizeof(DP));

psh = (DL *)MALLOC(pslen*sizeof(DL));

Line 911 int m;

Line 1059 int m;

pss[i] = ps[i]->sugar;

psc[i] = BDY(ps[i])->c;

}

if ( GenTrace && (OXCheck >= 0) ) {

if ( GenTrace ) {

Q q;

STRING fname;

LIST input;

NODE arg;

NODE arg,t,t1;

Obj dmy;

t = 0;

for ( i = psn-1; i >= 0; i-- ) {

MKNODE(t1,ps[i],t);

t = t1;

}

MKLIST(input,t);

STOQ(OXCheck,q);

if ( OXCheck >= 0 ) {

MKSTR(fname,"register_input");

STOQ(OXCheck,q);

MKLIST(input,f0);

MKSTR(fname,"register_input");

arg = mknode(3,q,fname,input);

Pox_cmo_rpc(arg,&dmy);

} else if ( OXCheck < 0 ) {

MKNODE(AllTraceList,input,0);

}

for ( s0 = 0, i = 0; i < psn; i++ ) {

NEXTNODE(s0,s); BDY(s) = (pointer)i;

Line 950 int m;

Line 1108 int m;

else

dp_ptozp(f,r);

if ( GenTrace && TraceList ) {

/* adust the denominator according to the final

content reduction */

divsp(CO,BDY(f)->c,BDY(*r)->c,&d);

mulp(CO,(P)ARG3(BDY((LIST)BDY(TraceList))),d,&t);

ARG3(BDY((LIST)BDY(TraceList))) = t;

Line 1157 NODE subst;

Line 1317 NODE subst;

_dp_mod(a,m,subst,&psm[psn]);

if ( GenTrace ) {

NODE tn,tr,tr1;

LIST trace;

LIST trace,trace1;

NODE arg;

Q q1,q2;

STRING fname;

Obj dmy;

/* reverse the TraceList */

tn = TraceList;

Line 1166 NODE subst;

Line 1330 NODE subst;

}

MKLIST(trace,tr);

if ( OXCheck >= 0 ) {

NODE arg;

Q q1,q2;

STRING fname;

Obj dmy;

STOQ(OXCheck,q1);

MKSTR(fname,"check_trace");

STOQ(psn,q2);

arg = mknode(5,q1,fname,a,q2,trace);

Pox_cmo_rpc(arg,&dmy);

} else if ( OXCheck < 0 ) {

STOQ(psn,q1);

tn = mknode(2,q1,trace);

MKLIST(trace1,tn);

MKNODE(tr,trace1,AllTraceList);

AllTraceList = tr;

} else

dp_save(psn,(Obj)trace,"t");

TraceList = 0;

Line 1407 NODE subst;

Line 1572 NODE subst;

new_sugar = h->sugar;

get_eg(&tnf0);

t_0 = get_rtime();

if ( PCoeffs )

if ( PCoeffs || dp_fcoeffs )

_dp_nf(gall,h,ps,!Top,&nf);

else

_dp_nf_ptozp(gall,h,ps,!Top,DP_Multiple,&nf);

_dp_nf_z(gall,h,ps,!Top,DP_Multiple,&nf);

if ( DP_Print )

fprintf(asir_out,"(%.3g)",get_rtime()-t_0);

get_eg(&tnf1); add_eg(&eg_nf,&tnf0,&tnf1);

Line 1808 NODE f;

Line 1973 NODE f;

while ( d ) {

l = d; d = NEXT(d);

get_eg(&tmp0);

dp_load(l->dp1,&dp1); dp_load(l->dp2,&dp2); dp_sp(dp1,dp2,&h);

dp_load(l->dp1,&dp1); dp_load(l->dp2,&dp2);

dp_sp(dp1,dp2,&h);

/* fprintf(stderr,"{%d,%d}",l->dp1,l->dp2); */

_dp_nf(gall,h,ps,1,&nf);

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

if ( DP_Print || DP_PrintShort ) {

Line 1919 LIST *list;

Line 2086 LIST *list;

STOQ(Reverse,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"Reverse"); MKNODE(n1,name,n); n = n1;

STOQ(Stat,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"Stat"); MKNODE(n1,name,n); n = n1;

STOQ(DP_Print,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"Print"); MKNODE(n1,name,n); n = n1;

STOQ(DP_PrintShort,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"PrintShort"); MKNODE(n1,name,n); n = n1;

STOQ(DP_NFStat,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"NFStat"); MKNODE(n1,name,n); n = n1;

STOQ(OXCheck,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"OXCheck"); MKNODE(n1,name,n); n = n1;

STOQ(GenTrace,v); MKNODE(n1,v,n); n = n1; MKSTR(name,"GenTrace"); MKNODE(n1,name,n); n = n1;

Line 2096 DP *rp;

Line 2264 DP *rp;

*rp = d;

}

void _dp_nf_ptozp(b,g,ps,full,multiple,r)

void _dp_nf_z(b,g,ps,full,multiple,r)

NODE b;

DP g;

DP *ps;

Line 2311 VECT *rp;

Line 2479 VECT *rp;

MKVECT(r,n); *rp = r;

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

mulq((Q)BDY(w)[i],(Q)c,(Q *)&BDY(r)[i]);

}

void dptoca(p,rp)

DP p;

unsigned int **rp;

{

int i;

MP m;

unsigned int *r;

if ( !p )

*rp = 0;

else {

for ( m = BDY(p), i = 0; m; m = NEXT(m), i++ );

*rp = r = (unsigned int *)MALLOC_ATOMIC(i*sizeof(unsigned int));

for ( m = BDY(p), i = 0; m; m = NEXT(m), i++ )

r[i] = ITOS(C(m));

}

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