=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/builtin/gr.c,v retrieving revision 1.19 retrieving revision 1.36 diff -u -p -r1.19 -r1.36 --- OpenXM_contrib2/asir2000/builtin/gr.c 2001/06/07 04:54:38 1.19 +++ OpenXM_contrib2/asir2000/builtin/gr.c 2001/10/01 01:58:02 1.36 @@ -45,15 +45,20 @@ * 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 1.18 2001/01/12 09:03:33 noro Exp $ + * $OpenXM: OpenXM_contrib2/asir2000/builtin/gr.c,v 1.35 2001/09/18 00:56:05 noro Exp $ */ #include "ca.h" #include "parse.h" #include "base.h" #include "ox.h" -#define ITOS(p) (((unsigned int)(p))&0x7fffffff) -#define STOI(i) ((P)((unsigned int)(i)|0x80000000)) +#if defined(__GNUC__) +#define INLINE inline +#elif defined(VISUAL) +#define INLINE __inline +#else +#define INLINE +#endif #define NEXTVL(r,c) \ if(!(r)){NEWVL(r);(c)=(r);}else{NEWVL(NEXT(c));(c)=NEXT(c);} @@ -85,6 +90,9 @@ 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); @@ -106,12 +114,13 @@ 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); NODE gb_f4(NODE); NODE gb_f4_mod(NODE,int); +NODE gb_f4_mod_old(NODE,int); DP_pairs minp(DP_pairs, DP_pairs *); void minsugar(DP_pairs,DP_pairs *,DP_pairs *); NODE append_one(NODE,int); @@ -135,7 +144,7 @@ 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(); @@ -180,8 +189,9 @@ 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; { @@ -216,6 +226,41 @@ 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 int *)MALLOC_ATOMIC(sizeof(unsigned int)*len); + + NEWDL_NOINIT(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; @@ -247,6 +292,32 @@ 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_NOINIT(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; { @@ -257,19 +328,22 @@ 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; @@ -333,12 +407,27 @@ LIST *rp; 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); @@ -419,7 +508,7 @@ 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; @@ -431,13 +520,17 @@ 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)); @@ -452,7 +545,7 @@ 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; @@ -465,8 +558,10 @@ 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 ) { @@ -475,13 +570,20 @@ 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; + init_stat(); + if ( do_weyl ) + x = gb_f4_mod_old(s,m); + else + x = gb_f4_mod(s,m); + 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)); } if ( r0 ) NEXT(r) = 0; MKLIST(*rp,r0); + print_stat(); } NODE gb_f4(f) @@ -605,6 +707,8 @@ NODE f; /* initial bases are monic */ +unsigned int **psca; + NODE gb_f4_mod(f,m) NODE f; int m; @@ -615,6 +719,227 @@ 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,bt1,dt,rhtlist; + DL *ht,*at,*st; + int **spmat; + CDP *redmat; + int *colstat,*w,*w1; + int rank,nred,nsp,nsp0,nonzero,spcol; + 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; + while ( d ) { + get_eg(&tmp0); + minsugar(d,&dm,&dr); d = dr; + if ( DP_Print ) + fprintf(asir_out,"sugar=%d\n",dm->sugar); + blist = 0; s0 = 0; + /* asph : sum of all head terms of spoly */ + for ( t = dm; t; t = NEXT(t) ) { + _dp_sp_mod(ps[t->dp1],ps[t->dp2],m,&sp); +/* fprintf(stderr,"splen=%d-",dp_nt(sp)); */ + if ( sp ) { + MKNODE(bt,sp,blist); blist = bt; + s0 = symb_merge(s0,dp_dllist(sp),nv); +/* fprintf(stderr,"%d-",length(s0)); */ + } + } + if ( DP_Print ) + fprintf(asir_out,"initial spmat : %d x %d ",length(blist),length(s0)); + /* 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) ) + break; + if ( r ) { + dltod(BDY(s),nv,&tdp); + dp_subd(tdp,ps[(int)BDY(r)],&sd); + dt = mul_dllist(BDY(sd)->dl,ps[(int)BDY(r)]); +/* fprintf(stderr,"[%d]",length(dt)); */ + /* list of [t,f] */ + bt1 = mknode(2,BDY(sd)->dl,BDY(r)); + MKNODE(bt,bt1,blist); blist = bt; + symb_merge(s,dt,nv); +/* fprintf(stderr,"%d-",length(s)); */ + nred++; + } + } +/* fprintf(stderr,"\n"); */ + if ( DP_Print ) + fprintf(asir_out,"number of reducers : %d\n",nred); + + /* 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++ ); + + /* col = number of all terms */ + for ( s = s0, col = 0; s; s = NEXT(s), col++ ); + + /* head terms of all terms */ + at = (DL *)MALLOC(col*sizeof(DL)); + for ( s = s0, i = 0; i < col; s = NEXT(s), i++ ) + at[i] = (DL)BDY(s); + + /* store coefficients separately in spmat and redmat */ + nsp = row-nred; + + /* reducer matrix */ + /* 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++ ) + _tf_to_vect_compress(BDY(r),at,&redmat[i]); + + /* register the position of the head term */ + indred = (int *)MALLOC_ATOMIC(nred*sizeof(int)); + bzero(indred,nred*sizeof(int)); + isred = (int *)MALLOC_ATOMIC(col*sizeof(int)); + bzero(isred,col*sizeof(int)); + for ( i = 0; i < nred; i++ ) { + ri = redmat[i]; + indred[i] = ri->body[0]; + isred[indred[i]] = 1; + } + + spcol = col-nred; + /* head terms not in ht */ + st = (DL *)MALLOC(spcol*sizeof(DL)); + 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 = (int **)MALLOC(nsp*sizeof(int *)); + w = (int *)MALLOC_ATOMIC(col*sizeof(int)); + + /* 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_compress(w,redmat,indred,nred,col,m); + for ( j = 0; j < col; j++ ) + if ( 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 */ + nsp0 = 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 && nsp ) + fprintf(asir_out,"spmat : %d x %d (nonzero=%f%%)...", + nsp,spcol,((double)nonzero*100)/(nsp*spcol)); + 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); + + if ( DP_Print ) { + fprintf(asir_out,"done rank = %d\n",rank,row,col); + print_eg("Symb",&eg_split_symb); + print_eg("Elim1",&eg_split_elim1); + print_eg("Elim2",&eg_split_elim2); + fprintf(asir_out,"\n"); + } + + NZR += rank; + ZR += nsp0-rank; + + if ( !rank ) + continue; + + for ( j = 0, i = 0; j < spcol; j++ ) + if ( colstat[j] ) { + mp0 = 0; + NEXTMP(mp0,mp); mp->dl = st[j]; mp->c = STOI(1); + for ( k = j+1; k < spcol; k++ ) + if ( !colstat[k] && spmat[i][k] ) { + NEXTMP(mp0,mp); mp->dl = st[k]; + mp->c = STOI(spmat[i][k]); + } + 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); + print_eg("Elim1",&eg_elim1); + print_eg("Elim2",&eg_elim2); + fflush(asir_out); + } + return g; +} + +NODE gb_f4_mod_old(f,m) +NODE f; +int m; +{ + int i,j,k,nh,row,col,nv; + NODE r,g,gall; + NODE s,s0; + 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; DL *ht,*at,*st; int **spmat,**redmat; @@ -920,18 +1245,28 @@ 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); - MKSTR(fname,"register_input"); - MKLIST(input,f0); - arg = mknode(3,q,fname,input); - Pox_cmo_rpc(arg,&dmy); + if ( OXCheck >= 0 ) { + STOQ(OXCheck,q); + 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; @@ -959,6 +1294,8 @@ 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; @@ -1166,7 +1503,11 @@ 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; @@ -1175,16 +1516,17 @@ 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; @@ -1419,7 +1761,7 @@ NODE subst; 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); @@ -1930,6 +2272,7 @@ 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; @@ -2005,7 +2348,7 @@ void init_stat() { init_eg(&eg_nf); init_eg(&eg_nfm); init_eg(&eg_znfm); init_eg(&eg_pz); init_eg(&eg_np); init_eg(&eg_ra); init_eg(&eg_mc); init_eg(&eg_gc); - ZR = NZR = TP = NBP = NFP = NDP = 0; + ZR = NZR = TP = NMP = NBP = NFP = NDP = 0; } void print_stat() { @@ -2107,7 +2450,7 @@ 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; @@ -2322,5 +2665,23 @@ 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)); + } }