=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/dist.c,v retrieving revision 1.51 retrieving revision 1.52 diff -u -p -r1.51 -r1.52 --- OpenXM_contrib2/asir2000/engine/dist.c 2015/09/24 04:43:13 1.51 +++ OpenXM_contrib2/asir2000/engine/dist.c 2017/08/31 02:36:21 1.52 @@ -45,7 +45,7 @@ * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. * - * $OpenXM: OpenXM_contrib2/asir2000/engine/dist.c,v 1.50 2014/10/10 09:02:25 noro Exp $ + * $OpenXM: OpenXM_contrib2/asir2000/engine/dist.c,v 1.51 2015/09/24 04:43:13 noro Exp $ */ #include "ca.h" @@ -84,7 +84,7 @@ int *dp_dl_work; void comm_muld_trunc(VL vl,DP p1,DP p2,DL dl,DP *pr); void comm_quod(VL vl,DP p1,DP p2,DP *pr); void muldm_trunc(VL vl,DP p,MP m0,DL dl,DP *pr); -void muldc_trunc(VL vl,DP p,P c,DL dl,DP *pr); +void muldc_trunc(VL vl,DP p,Obj c,DL dl,DP *pr); int create_order_spec(VL vl,Obj obj,struct order_spec **specp); void create_modorder_spec(int id,LIST shift,struct modorder_spec **s); @@ -97,7 +97,7 @@ void order_init() create_modorder_spec(0,0,&dp_current_modspec); } -int has_sfcoef_p(P f); +int has_sfcoef_p(Obj f); int has_sfcoef(DP f) { @@ -111,7 +111,7 @@ int has_sfcoef(DP f) return t ? 1 : 0; } -int has_sfcoef_p(P f) +int has_sfcoef_p(Obj f) { DCP dc; @@ -119,12 +119,13 @@ int has_sfcoef_p(P f) return 0; else if ( NUM(f) ) return (NID((Num)f) == N_GFS) ? 1 : 0; - else { - for ( dc = DC(f); dc; dc = NEXT(dc) ) - if ( has_sfcoef_p(COEF(dc)) ) + else if ( POLY(f) ) { + for ( dc = DC((P)f); dc; dc = NEXT(dc) ) + if ( has_sfcoef_p((Obj)COEF(dc)) ) return 1; return 0; - } + } else + return 0; } extern Obj nd_top_weight; @@ -207,6 +208,18 @@ void initd(struct order_spec *spec) dp_current_spec = spec; } +int dpm_ispot; + +/* type=0 => TOP, type=1 => POT */ +void initdpm(struct order_spec *spec,int type) +{ + int len,i,k,row; + Q **mat; + + initd(spec); + dpm_ispot = type; +} + void ptod(VL vl,VL dvl,P p,DP *pr) { int n,i,j,k; @@ -221,11 +234,13 @@ void ptod(VL vl,VL dvl,P p,DP *pr) if ( !p ) *pr = 0; + else if ( OID(p) > O_P ) + error("ptod : only polynomials can be converted."); else { for ( n = 0, tvl = dvl; tvl; tvl = NEXT(tvl), n++ ); if ( NUM(p) ) { NEWDL(d,n); - NEWMP(m); m->dl = d; C(m) = p; NEXT(m) = 0; MKDP(n,m,*pr); (*pr)->sugar = 0; + NEWMP(m); m->dl = d; C(m) = (Obj)p; NEXT(m) = 0; MKDP(n,m,*pr); (*pr)->sugar = 0; } else { for ( i = 0, tvl = dvl, v = VR(p); tvl && tvl->v != v; tvl = NEXT(tvl), i++ ); @@ -237,7 +252,7 @@ void ptod(VL vl,VL dvl,P p,DP *pr) for ( j = k-1, s = 0, MKV(v,x); j >= 0; j-- ) { ptod(vl,dvl,COEF(w[j]),&t); pwrp(vl,x,DEG(w[j]),&c); - muldc(vl,t,c,&r); addd(vl,r,s,&t); s = t; + muldc(vl,t,(Obj)c,&r); addd(vl,r,s,&t); s = t; } *pr = s; } else { @@ -250,7 +265,7 @@ void ptod(VL vl,VL dvl,P p,DP *pr) ptod(vl,dvl,COEF(w[j]),&t); NEWDL(d,n); d->d[i] = QTOS(DEG(w[j])); d->td = MUL_WEIGHT(d->d[i],i); - NEWMP(m); m->dl = d; C(m) = (P)ONE; NEXT(m) = 0; MKDP(n,m,u); u->sugar = d->td; + NEWMP(m); m->dl = d; C(m) = (Obj)ONE; NEXT(m) = 0; MKDP(n,m,u); u->sugar = d->td; comm_muld(vl,t,u,&r); addd(vl,r,s,&t); s = t; } *pr = s; @@ -263,13 +278,14 @@ void ptod(VL vl,VL dvl,P p,DP *pr) #endif } -void dtop(VL vl,VL dvl,DP p,P *pr) +void dtop(VL vl,VL dvl,DP p,Obj *pr) { int n,i,j,k; DL d; MP m; MP *a; - P r,s,t,u,w; + P r; + Obj t,w,s,u; Q q; VL tvl; @@ -285,14 +301,14 @@ void dtop(VL vl,VL dvl,DP p,P *pr) m = a[j]; t = C(m); if ( NUM(t) && NID((Num)t) == N_M ) { - mptop(t,&u); t = u; + mptop((P)t,(P *)&u); t = u; } for ( i = 0, d = m->dl, tvl = dvl; i < n; tvl = NEXT(tvl), i++ ) { - MKV(tvl->v,r); STOQ(d->d[i],q); pwrp(vl,r,q,&u); - mulp(vl,t,u,&w); t = w; + MKV(tvl->v,r); STOQ(d->d[i],q); pwrp(vl,r,q,(P *)&u); + arf_mul(vl,t,(Obj)u,&w); t = w; } - addp(vl,s,t,&u); s = u; + arf_add(vl,s,t,&u); s = u; } *pr = s; } @@ -320,10 +336,53 @@ void nodetod(NODE node,DP *dp) } } d->td = td; - NEWMP(m); m->dl = d; C(m) = (P)ONE; NEXT(m) = 0; + NEWMP(m); m->dl = d; C(m) = (Obj)ONE; NEXT(m) = 0; MKDP(len,m,u); u->sugar = td; *dp = u; } +void nodetodpm(NODE node,Obj pos,DPM *dp) +{ + NODE t; + int len,i,td; + Q e; + DL d; + DMM m; + DPM u; + + for ( t = node, len = 0; t; t = NEXT(t), len++ ); + NEWDL(d,len); + for ( t = node, i = 0, td = 0; i < len; t = NEXT(t), i++ ) { + e = (Q)BDY(t); + if ( !e ) + d->d[i] = 0; + else if ( !NUM(e) || !RATN(e) || !INT(e) ) + error("nodetodpm : invalid input"); + else { + d->d[i] = QTOS((Q)e); td += MUL_WEIGHT(d->d[i],i); + } + } + d->td = td; + NEWDMM(m); m->dl = d; m->pos = QTOS((Q)pos); C(m) = (Obj)ONE; NEXT(m) = 0; + MKDPM(len,m,u); u->sugar = td; *dp = u; +} + +void dtodpm(DP d,int pos,DPM *dp) +{ + DMM mr0,mr; + MP m; + + if ( !d ) *dp = 0; + else { + for ( m = BDY(d), mr0 = 0; m; m = NEXT(m) ) { + NEXTDMM(mr0,mr); + mr->dl = m->dl; + mr->pos = pos; + C(mr) = C(m); + } + MKDPM(d->nv,mr0,*dp); (*dp)->sugar = d->sugar; + } +} + int sugard(MP m) { int s; @@ -337,7 +396,7 @@ void addd(VL vl,DP p1,DP p2,DP *pr) { int n; MP m1,m2,mr=0,mr0; - P t; + Obj t; DL d; if ( !p1 ) @@ -347,18 +406,18 @@ void addd(VL vl,DP p1,DP p2,DP *pr) else { if ( OID(p1) <= O_R ) { n = NV(p2); NEWDL(d,n); - NEWMP(m1); m1->dl = d; C(m1) = (P)p1; NEXT(m1) = 0; + NEWMP(m1); m1->dl = d; C(m1) = (Obj)p1; NEXT(m1) = 0; MKDP(n,m1,p1); (p1)->sugar = 0; } if ( OID(p2) <= O_R ) { n = NV(p1); NEWDL(d,n); - NEWMP(m2); m2->dl = d; C(m2) = (P)p2; NEXT(m2) = 0; + NEWMP(m2); m2->dl = d; C(m2) = (Obj)p2; NEXT(m2) = 0; MKDP(n,m2,p2); (p2)->sugar = 0; } for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) switch ( (*cmpdl)(n,m1->dl,m2->dl) ) { case 0: - addp(vl,C(m1),C(m2),&t); + arf_add(vl,C(m1),C(m2),&t); if ( t ) { NEXTMP(mr0,mr); mr->dl = m1->dl; C(mr) = t; } @@ -404,7 +463,7 @@ void symb_addd(DP p1,DP p2,DP *pr) *pr = p1; else { for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) { - NEXTMP(mr0,mr); C(mr) = (P)ONE; + NEXTMP(mr0,mr); C(mr) = (Obj)ONE; switch ( (*cmpdl)(n,m1->dl,m2->dl) ) { case 0: mr->dl = m1->dl; @@ -638,10 +697,10 @@ void chsgnd(DP p,DP *pr) if ( !p ) *pr = 0; else if ( OID(p) <= O_R ) { - chsgnr((Obj)p,&r); *pr = (DP)r; + arf_chsgn((Obj)p,&r); *pr = (DP)r; } else { for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { - NEXTMP(mr0,mr); chsgnp(C(m),&C(mr)); mr->dl = m->dl; + NEXTMP(mr0,mr); arf_chsgn(C(m),&C(mr)); mr->dl = m->dl; } NEXT(mr) = 0; MKDP(NV(p),mr0,*pr); if ( *pr ) @@ -667,10 +726,10 @@ void comm_muld(VL vl,DP p1,DP p2,DP *pr) if ( !p1 || !p2 ) *pr = 0; - else if ( OID(p1) <= O_P ) - muldc(vl,p2,(P)p1,pr); - else if ( OID(p2) <= O_P ) - muldc(vl,p1,(P)p2,pr); + else if ( OID(p1) != O_DP ) + muldc(vl,p2,(Obj)p1,pr); + else if ( OID(p2) != O_DP ) + muldc(vl,p1,(Obj)p2,pr); else { for ( m = BDY(p1), l1 = 0; m; m = NEXT(m), l1++ ); for ( m = BDY(p2), l = 0; m; m = NEXT(m), l++ ); @@ -705,10 +764,10 @@ void comm_muld_trunc(VL vl,DP p1,DP p2,DL dl,DP *pr) if ( !p1 || !p2 ) *pr = 0; - else if ( OID(p1) <= O_P ) - muldc_trunc(vl,p2,(P)p1,dl,pr); - else if ( OID(p2) <= O_P ) - muldc_trunc(vl,p1,(P)p2,dl,pr); + else if ( OID(p1) != O_DP ) + muldc_trunc(vl,p2,(Obj)p1,dl,pr); + else if ( OID(p2) != O_DP ) + muldc_trunc(vl,p1,(Obj)p2,dl,pr); else { for ( m = BDY(p1), l1 = 0; m; m = NEXT(m), l1++ ); for ( m = BDY(p2), l = 0; m; m = NEXT(m), l++ ); @@ -757,10 +816,10 @@ void comm_quod(VL vl,DP p1,DP p2,DP *pr) NEXTMP(m0,m); m->dl = d; divq((Q)BDY(p1)->c,(Q)BDY(p2)->c,&a); chsgnq(a,&b); - C(m) = (P)b; + C(m) = (Obj)b; muldm_trunc(vl,p2,m,d2,&t); addd(vl,p1,t,&s); p1 = s; - C(m) = (P)a; + C(m) = (Obj)a; } if ( m0 ) { NEXT(m) = 0; MKDP(n,m0,*pr); @@ -775,7 +834,7 @@ void comm_quod(VL vl,DP p1,DP p2,DP *pr) void muldm(VL vl,DP p,MP m0,DP *pr) { MP m,mr=0,mr0; - P c; + Obj c; DL d; int n; @@ -788,7 +847,7 @@ void muldm(VL vl,DP p,MP m0,DP *pr) if ( NUM(C(m)) && RATN(C(m)) && NUM(c) && RATN(c) ) mulq((Q)C(m),(Q)c,(Q *)&C(mr)); else - mulp(vl,C(m),c,&C(mr)); + arf_mul(vl,C(m),c,&C(mr)); adddl(n,m->dl,d,&mr->dl); } NEXT(mr) = 0; MKDP(NV(p),mr0,*pr); @@ -800,7 +859,7 @@ void muldm(VL vl,DP p,MP m0,DP *pr) void muldm_trunc(VL vl,DP p,MP m0,DL dl,DP *pr) { MP m,mr=0,mr0; - P c; + Obj c; DL d,tdl; int n,i; @@ -823,7 +882,7 @@ void muldm_trunc(VL vl,DP p,MP m0,DL dl,DP *pr) if ( NUM(C(m)) && RATN(C(m)) && NUM(c) && RATN(c) ) mulq((Q)C(m),(Q)c,(Q *)&C(mr)); else - mulp(vl,C(m),c,&C(mr)); + arf_mul(vl,C(m),(Obj)c,&C(mr)); } if ( mr0 ) { NEXT(mr) = 0; MKDP(NV(p),mr0,*pr); @@ -844,10 +903,10 @@ void weyl_muld(VL vl,DP p1,DP p2,DP *pr) if ( !p1 || !p2 ) *pr = 0; - else if ( OID(p1) <= O_P ) - muldc(vl,p2,(P)p1,pr); - else if ( OID(p2) <= O_P ) - muldc(vl,p1,(P)p2,pr); + else if ( OID(p1) != O_DP ) + muldc(vl,p2,(Obj)p1,pr); + else if ( OID(p2) != O_DP ) + muldc(vl,p1,(Obj)p2,pr); else { for ( m = BDY(p1), l = 0; m; m = NEXT(m), l++ ); if ( l > wlen ) { @@ -871,7 +930,7 @@ void actm(VL vl,int nv,MP m1,MP m2,DP *pr) int n2,i,j,k; Q jq,c,c1; MP m; - P t; + Obj t; d1 = m1->dl; d2 = m2->dl; @@ -887,9 +946,9 @@ void actm(VL vl,int nv,MP m1,MP m2,DP *pr) } d->d[i] = d2->d[i]-d1->d[i]; } - mulp(vl,C(m1),C(m2),&t); + arf_mul(vl,C(m1),C(m2),&t); NEWMP(m); - mulp(vl,(P)c,t,&C(m)); + arf_mul(vl,(Obj)c,t,&C(m)); m->dl = d; MKDP(nv,m,*pr); } @@ -955,7 +1014,7 @@ void weyl_muldm(VL vl,MP m0,DP p,DP *pr) weyl_mulmm(vl,m0,w[i],n,tab,tlen); for ( j = 0; j < tlen; j++ ) { if ( tab[j].c ) { - NEWMP(m); m->dl = tab[j].d; C(m) = tab[j].c; NEXT(m) = psum[j]; + NEWMP(m); m->dl = tab[j].d; C(m) = (Obj)tab[j].c; NEXT(m) = psum[j]; psum[j] = m; } } @@ -975,7 +1034,7 @@ void weyl_muldm(VL vl,MP m0,DP p,DP *pr) void weyl_mulmm(VL vl,MP m0,MP m1,int n,struct cdl *rtab,int rtablen) { - P c,c0,c1; + Obj c,c0,c1; DL d,d0,d1,dt; int i,j,a,b,k,l,n2,s,min,curlen; struct cdl *p; @@ -992,7 +1051,7 @@ void weyl_mulmm(VL vl,MP m0,MP m1,int n,struct cdl *rt return; } c0 = C(m0); c1 = C(m1); - mulp(vl,c0,c1,&c); + arf_mul(vl,c0,c1,&c); d0 = m0->dl; d1 = m1->dl; n2 = n>>1; curlen = 1; @@ -1049,7 +1108,7 @@ void weyl_mulmm(VL vl,MP m0,MP m1,int n,struct cdl *rt d->td = s; d->d[n-1] = s-(MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i)); tab[j].d = d; - tab[j].c = (P)ctab[j]; + tab[j].c = (Obj)ctab[j]; } else for ( j = 0; j <= min; j++ ) { @@ -1057,7 +1116,7 @@ void weyl_mulmm(VL vl,MP m0,MP m1,int n,struct cdl *rt d->d[i] = a-j; d->d[n2+i] = b-j; d->td = MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i); /* XXX */ tab[j].d = d; - tab[j].c = (P)ctab[j]; + tab[j].c = (Obj)ctab[j]; } bzero(ctab,(min+1)*sizeof(Q)); comm_muld_tab(vl,n,rtab,curlen,tab,k+1,tmptab); @@ -1079,25 +1138,25 @@ void comm_muld_tab(VL vl,int nv,struct cdl *t,int n,st { int i,j; struct cdl *p; - P c; + Obj c; DL d; bzero(rt,n*n1*sizeof(struct cdl)); for ( j = 0, p = rt; j < n1; j++ ) { - c = t1[j].c; + c = (Obj)t1[j].c; d = t1[j].d; if ( !c ) break; for ( i = 0; i < n; i++, p++ ) { if ( t[i].c ) { - mulp(vl,t[i].c,c,&p->c); + arf_mul(vl,(Obj)t[i].c,c,(Obj *)&p->c); adddl(nv,t[i].d,d,&p->d); } } } } -void muldc(VL vl,DP p,P c,DP *pr) +void muldc(VL vl,DP p,Obj c,DP *pr) { MP m,mr=0,mr0; @@ -1113,7 +1172,7 @@ void muldc(VL vl,DP p,P c,DP *pr) if ( NUM(C(m)) && RATN(C(m)) && NUM(c) && RATN(c) ) mulq((Q)C(m),(Q)c,(Q *)&C(mr)); else - mulp(vl,C(m),c,&C(mr)); + arf_mul(vl,C(m),c,&C(mr)); mr->dl = m->dl; } NEXT(mr) = 0; MKDP(NV(p),mr0,*pr); @@ -1122,8 +1181,16 @@ void muldc(VL vl,DP p,P c,DP *pr) } } -void muldc_trunc(VL vl,DP p,P c,DL dl,DP *pr) +void divdc(VL vl,DP p,Obj c,DP *pr) { + Obj inv; + + arf_div(vl,(Obj)ONE,c,&inv); + muld(vl,p,(DP)inv,pr); +} + +void muldc_trunc(VL vl,DP p,Obj c,DL dl,DP *pr) +{ MP m,mr=0,mr0; DL mdl; int i,n; @@ -1143,7 +1210,7 @@ void muldc_trunc(VL vl,DP p,P c,DL dl,DP *pr) if ( NUM(C(m)) && RATN(C(m)) && NUM(c) && RATN(c) ) mulq((Q)C(m),(Q)c,(Q *)&C(mr)); else - mulp(vl,C(m),c,&C(mr)); + arf_mul(vl,C(m),c,&C(mr)); mr->dl = m->dl; } NEXT(mr) = 0; MKDP(NV(p),mr0,*pr); @@ -1159,9 +1226,11 @@ void divsdc(VL vl,DP p,P c,DP *pr) error("disvsdc : division by 0"); else if ( !p ) *pr = 0; + else if ( OID(p) > O_P ) + error("divsdc : invalid argument"); else { for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { - NEXTMP(mr0,mr); divsp(vl,C(m),c,&C(mr)); mr->dl = m->dl; + NEXTMP(mr0,mr); divsp(vl,(P)C(m),c,(P *)&C(mr)); mr->dl = m->dl; } NEXT(mr) = 0; MKDP(NV(p),mr0,*pr); if ( *pr ) @@ -1207,7 +1276,7 @@ int compd(VL vl,DP p1,DP p2) for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2); m1 && m2; m1 = NEXT(m1), m2 = NEXT(m2) ) if ( (t = (*cmpdl)(n,m1->dl,m2->dl)) || - (t = compp(vl,C(m1),C(m2)) ) ) + (t = arf_comp(vl,C(m1),C(m2)) ) ) return t; if ( m1 ) return 1; @@ -2562,3 +2631,253 @@ NBP harmonic_mul_nbm(NBM a,NBM b) return u; } #endif + +/* DPM functions */ + +int compdmm(int n,DMM m1,DMM m2) +{ + int t; + + if ( dpm_ispot ) { + if ( m1->pos < m2->pos ) return 1; + else if ( m1->pos > m2->pos ) return -1; + else return (*cmpdl)(n,m1->dl,m2->dl); + } else { + t = (*cmpdl)(n,m1->dl,m2->dl); + if ( t ) return t; + else if ( m1->pos < m2->pos ) return 1; + else if ( m1->pos > m2->pos ) return -1; + else return 0; + } +} + +void adddpm(VL vl,DPM p1,DPM p2,DPM *pr) +{ + int n; + DMM m1,m2,mr=0,mr0; + Obj t; + DL d; + + if ( !p1 ) + *pr = p2; + else if ( !p2 ) + *pr = p1; + else { + for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) + switch ( compdmm(n,m1,m2) ) { + case 0: + arf_add(vl,C(m1),C(m2),&t); + if ( t ) { + NEXTDMM(mr0,mr); mr->pos = m1->pos; mr->dl = m1->dl; C(mr) = t; + } + m1 = NEXT(m1); m2 = NEXT(m2); break; + case 1: + NEXTDMM(mr0,mr); mr->pos = m1->pos; mr->dl = m1->dl; C(mr) = C(m1); + m1 = NEXT(m1); break; + case -1: + NEXTDMM(mr0,mr); mr->pos = m2->pos; mr->dl = m2->dl; C(mr) = C(m2); + m2 = NEXT(m2); break; + } + if ( !mr0 ) + if ( m1 ) + mr0 = m1; + else if ( m2 ) + mr0 = m2; + else { + *pr = 0; + return; + } + else if ( m1 ) + NEXT(mr) = m1; + else if ( m2 ) + NEXT(mr) = m2; + else + NEXT(mr) = 0; + MKDPM(NV(p1),mr0,*pr); + if ( *pr ) + (*pr)->sugar = MAX(p1->sugar,p2->sugar); + } +} + +void subdpm(VL vl,DPM p1,DPM p2,DPM *pr) +{ + DPM t; + + if ( !p2 ) + *pr = p1; + else { + chsgndpm(p2,&t); adddpm(vl,p1,t,pr); + } +} + +void chsgndpm(DPM p,DPM *pr) +{ + DMM m,mr=0,mr0; + Obj r; + + if ( !p ) + *pr = 0; + else { + for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { + NEXTDMM(mr0,mr); arf_chsgn(C(m),&C(mr)); mr->pos = m->pos; mr->dl = m->dl; + } + NEXT(mr) = 0; MKDPM(NV(p),mr0,*pr); + if ( *pr ) + (*pr)->sugar = p->sugar; + } +} + +void mulcdpm(VL vl,Obj c,DPM p,DPM *pr) +{ + DMM m,mr=0,mr0; + + if ( !p || !c ) + *pr = 0; + else if ( NUM(c) && UNIQ((Q)c) ) + *pr = p; + else if ( NUM(c) && MUNIQ((Q)c) ) + chsgndpm(p,pr); + else { + for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { + NEXTDMM(mr0,mr); + arf_mul(vl,C(m),c,&C(mr)); + mr->pos = m->pos; + mr->dl = m->dl; + } + NEXT(mr) = 0; MKDPM(NV(p),mr0,*pr); + if ( *pr ) + (*pr)->sugar = p->sugar; + } +} + +void comm_mulmpdpm(VL vl,MP m0,DPM p,DPM *pr) +{ + DMM m,mr=0,mr0; + DL d; + Obj c; + int n; + + if ( !p ) + *pr = 0; + else { + n = NV(p); + d = m0->dl; + c = C(m0); + for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { + NEXTDMM(mr0,mr); + arf_mul(vl,C(m),c,&C(mr)); + mr->pos = m->pos; + adddl(n,m->dl,d,&mr->dl); + } + NEXT(mr) = 0; MKDPM(NV(p),mr0,*pr); + if ( *pr ) + (*pr)->sugar = p->sugar; + } +} + +void weyl_mulmpdpm(VL vl,MP m0,DPM p,DPM *pr) +{ + DPM r,t,t1; + DMM m; + DL d0; + int n,n2,l,i,j,tlen; + struct oMP mp; + static DMM *w,*psum; + static struct cdl *tab; + static int wlen; + static int rtlen; + + if ( !p ) + *pr = 0; + else { + for ( m = BDY(p), l = 0; m; m = NEXT(m), l++ ); + if ( l > wlen ) { + if ( w ) GCFREE(w); + w = (DMM *)MALLOC(l*sizeof(DMM)); + wlen = l; + } + for ( m = BDY(p), i = 0; i < l; m = NEXT(m), i++ ) + w[i] = m; + + n = NV(p); n2 = n>>1; + d0 = m0->dl; + for ( i = 0, tlen = 1; i < n2; i++ ) + tlen *= d0->d[n2+i]+1; + if ( tlen > rtlen ) { + if ( tab ) GCFREE(tab); + if ( psum ) GCFREE(psum); + rtlen = tlen; + tab = (struct cdl *)MALLOC(rtlen*sizeof(struct cdl)); + psum = (DMM *)MALLOC(rtlen*sizeof(DMM)); + } + bzero(psum,tlen*sizeof(DMM)); + for ( i = l-1; i >= 0; i-- ) { + bzero(tab,tlen*sizeof(struct cdl)); + mp.dl = w[i]->dl; mp.c = C(w[i]); mp.next = 0; + weyl_mulmm(vl,m0,&mp,n,tab,tlen); + for ( j = 0; j < tlen; j++ ) { + if ( tab[j].c ) { + NEWDMM(m); m->dl = tab[j].d; m->pos = w[i]->pos; C(m) = (Obj)tab[j].c; NEXT(m) = psum[j]; + psum[j] = m; + } + } + } + for ( j = tlen-1, r = 0; j >= 0; j-- ) + if ( psum[j] ) { + MKDPM(n,psum[j],t); adddpm(vl,r,t,&t1); r = t1; + } + if ( r ) + r->sugar = p->sugar + m0->dl->td; + *pr = r; + } +} + +void mulobjdpm(VL vl,Obj p1,DPM p2,DPM *pr) +{ + MP m; + DPM s,t,u; + + if ( !p1 || !p2 ) + *pr = 0; + else if ( OID(p1) != O_DP ) + mulcdpm(vl,p1,p2,pr); + else { + s = 0; + for ( m = BDY((DP)p1); m; m = NEXT(m) ) { + if ( do_weyl ) + weyl_mulmpdpm(vl,m,p2,&t); + else + comm_mulmpdpm(vl,m,p2,&t); + adddpm(vl,s,t,&u); s = u; + } + *pr = s; + } +} + +int compdpm(VL vl,DPM p1,DPM p2) +{ + int n,t; + DMM m1,m2; + + if ( !p1 ) + return p2 ? -1 : 0; + else if ( !p2 ) + return 1; + else if ( NV(p1) != NV(p2) ) { + error("compdpm : size mismatch"); + return 0; /* XXX */ + } else { + for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2); + m1 && m2; m1 = NEXT(m1), m2 = NEXT(m2) ) + if ( (t = compdmm(n,m1,m2)) || + (t = arf_comp(vl,C(m1),C(m2)) ) ) + return t; + if ( m1 ) + return 1; + else if ( m2 ) + return -1; + else + return 0; + } +} +