=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/dist.c,v retrieving revision 1.12 retrieving revision 1.21 diff -u -p -r1.12 -r1.21 --- OpenXM_contrib2/asir2000/engine/dist.c 2000/12/11 02:00:41 1.12 +++ OpenXM_contrib2/asir2000/engine/dist.c 2002/01/30 01:09:07 1.21 @@ -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 1.11 2000/12/05 06:59:16 noro Exp $ + * $OpenXM: OpenXM_contrib2/asir2000/engine/dist.c,v 1.20 2002/01/28 00:54:43 noro Exp $ */ #include "ca.h" @@ -60,31 +60,22 @@ #define ORD_BLEXREV 8 #define ORD_ELIM 9 #define ORD_WEYL_ELIM 10 +#define ORD_HOMO_WW_DRL 11 +#define ORD_DRL_ZIGZAG 12 +#define ORD_HOMO_WW_DRL_ZIGZAG 13 +int cmpdl_drl_zigzag(), cmpdl_homo_ww_drl_zigzag(); + int (*cmpdl)()=cmpdl_revgradlex; int (*primitive_cmpdl[3])() = {cmpdl_revgradlex,cmpdl_gradlex,cmpdl_lex}; -void comm_muld(VL,DP,DP,DP *); -void weyl_muld(VL,DP,DP,DP *); -void weyl_muldm(VL,MP,DP,DP *); -void weyl_mulmm(VL,MP,MP,int,struct cdl *,int); -void comm_muld_tab(VL,int,struct cdl *,int,struct cdl *,int,struct cdl *); - -void mkwc(int,int,Q *); - -int cmpdl_weyl_elim(); - int do_weyl; int dp_nelim,dp_fcoeffs; struct order_spec dp_current_spec; int *dp_dl_work; -int has_fcoef(DP); -int has_fcoef_p(P); - -int has_fcoef(f) -DP f; +int has_fcoef(DP f) { MP t; @@ -96,15 +87,17 @@ DP f; return t ? 1 : 0; } -int has_fcoef_p(f) -P f; +int has_fcoef_p(P f) { DCP dc; if ( !f ) return 0; else if ( NUM(f) ) - return (NID((Num)f) == N_LM || NID((Num)f) == N_GF2N) ? 1 : 0; + return (NID((Num)f) == N_LM + || NID((Num)f) == N_GF2N + || NID((Num)f) == N_GFPN + || NID((Num)f) == N_GFS) ? 1 : 0; else { for ( dc = DC(f); dc; dc = NEXT(dc) ) if ( has_fcoef_p(COEF(dc)) ) @@ -113,8 +106,7 @@ P f; } } -void initd(spec) -struct order_spec *spec; +void initd(struct order_spec *spec) { switch ( spec->id ) { case 2: @@ -146,6 +138,12 @@ struct order_spec *spec; cmpdl = cmpdl_elim; break; case ORD_WEYL_ELIM: cmpdl = cmpdl_weyl_elim; break; + case ORD_HOMO_WW_DRL: + cmpdl = cmpdl_homo_ww_drl; break; + case ORD_DRL_ZIGZAG: + cmpdl = cmpdl_drl_zigzag; break; + case ORD_HOMO_WW_DRL_ZIGZAG: + cmpdl = cmpdl_homo_ww_drl_zigzag; break; case ORD_LEX: default: cmpdl = cmpdl_lex; break; } @@ -154,18 +152,16 @@ struct order_spec *spec; dp_current_spec = *spec; } -void ptod(vl,dvl,p,pr) -VL vl,dvl; -P p; -DP *pr; +void ptod(VL vl,VL dvl,P p,DP *pr) { int isconst = 0; - int n,i; + int n,i,j,k; VL tvl; V v; DL d; MP m; DCP dc; + DCP *w; DP r,s,t,u; P x,c; @@ -180,15 +176,26 @@ DP *pr; for ( i = 0, tvl = dvl, v = VR(p); tvl && tvl->v != v; tvl = NEXT(tvl), i++ ); if ( !tvl ) { - for ( dc = DC(p), s = 0, MKV(v,x); dc; dc = NEXT(dc) ) { - ptod(vl,dvl,COEF(dc),&t); pwrp(vl,x,DEG(dc),&c); + for ( dc = DC(p), k = 0; dc; dc = NEXT(dc), k++ ); + w = (DCP *)ALLOCA(k*sizeof(DCP)); + for ( dc = DC(p), j = 0; j < k; dc = NEXT(dc), j++ ) + w[j] = dc; + + 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; } *pr = s; } else { - for ( dc = DC(p), s = 0; dc; dc = NEXT(dc) ) { - ptod(vl,dvl,COEF(dc),&t); - NEWDL(d,n); d->td = QTOS(DEG(dc)); d->d[i] = d->td; + for ( dc = DC(p), k = 0; dc; dc = NEXT(dc), k++ ); + w = (DCP *)ALLOCA(k*sizeof(DCP)); + for ( dc = DC(p), j = 0; j < k; dc = NEXT(dc), j++ ) + w[j] = dc; + + for ( j = k-1, s = 0; j >= 0; j-- ) { + 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; comm_muld(vl,t,u,&r); addd(vl,r,s,&t); s = t; } @@ -196,18 +203,18 @@ DP *pr; } } } +#if 0 if ( !dp_fcoeffs && has_fcoef(*pr) ) dp_fcoeffs = 1; +#endif } -void dtop(vl,dvl,p,pr) -VL vl,dvl; -DP p; -P *pr; +void dtop(VL vl,VL dvl,DP p,P *pr) { - int n,i; + int n,i,j,k; DL d; MP m; + MP *a; P r,s,t,u,w; Q q; VL tvl; @@ -215,7 +222,13 @@ P *pr; if ( !p ) *pr = 0; else { - for ( n = p->nv, m = BDY(p), s = 0; m; m = NEXT(m) ) { + for ( k = 0, m = BDY(p); m; m = NEXT(m), k++ ); + a = (MP *)ALLOCA(k*sizeof(MP)); + for ( j = 0, m = BDY(p); j < k; m = NEXT(m), j++ ) + a[j] = m; + + for ( n = p->nv, j = k-1, s = 0; j >= 0; j-- ) { + m = a[j]; t = C(m); if ( NUM(t) && NID((Num)t) == N_M ) { mptop(t,&u); t = u; @@ -231,9 +244,7 @@ P *pr; } } -void nodetod(node,dp) -NODE node; -DP *dp; +void nodetod(NODE node,DP *dp) { NODE t; int len,i,td; @@ -251,7 +262,7 @@ DP *dp; else if ( !NUM(e) || !RATN(e) || !INT(e) ) error("nodetod : invalid input"); else { - d->d[i] = QTOS((Q)e); td += d->d[i]; + d->d[i] = QTOS((Q)e); td += MUL_WEIGHT(d->d[i],i); } } d->td = td; @@ -259,8 +270,7 @@ DP *dp; MKDP(len,m,u); u->sugar = td; *dp = u; } -int sugard(m) -MP m; +int sugard(MP m) { int s; @@ -269,9 +279,7 @@ MP m; return s; } -void addd(vl,p1,p2,pr) -VL vl; -DP p1,p2,*pr; +void addd(VL vl,DP p1,DP p2,DP *pr) { int n; MP m1,m2,mr,mr0; @@ -320,12 +328,10 @@ DP p1,p2,*pr; /* for F4 symbolic reduction */ -void symb_addd(p1,p2,pr) -DP p1,p2,*pr; +void symb_addd(DP p1,DP p2,DP *pr) { int n; MP m1,m2,mr,mr0; - P t; if ( !p1 ) *pr = p2; @@ -374,9 +380,7 @@ DP p1,p2,*pr; * return : a merged list */ -NODE symb_merge(m1,m2,n) -NODE m1,m2; -int n; +NODE symb_merge(NODE m1,NODE m2,int n) { NODE top,prev,cur,m,t; @@ -420,10 +424,47 @@ int n; } } -void subd(vl,p1,p2,pr) -VL vl; -DP p1,p2,*pr; +DLBUCKET symb_merge_bucket(DLBUCKET m1,DLBUCKET m2,int n) { + DLBUCKET top,prev,cur,m,t; + + if ( !m1 ) + return m2; + else if ( !m2 ) + return m1; + else { + if ( m1->td == m2->td ) { + top = m1; + BDY(top) = symb_merge(BDY(top),BDY(m2),n); + m = NEXT(m2); + } else if ( m1->td > m2->td ) { + top = m1; m = m2; + } else { + top = m2; m = m1; + } + prev = top; cur = NEXT(top); + /* prev->td > m->td always holds */ + while ( cur && m ) { + if ( cur->td == m->td ) { + BDY(cur) = symb_merge(BDY(cur),BDY(m),n); + m = NEXT(m); + prev = cur; cur = NEXT(cur); + } else if ( cur->td > m->td ) { + t = NEXT(cur); NEXT(cur) = m; m = t; + prev = cur; cur = NEXT(cur); + } else { + NEXT(prev) = m; m = cur; + prev = NEXT(prev); cur = NEXT(prev); + } + } + if ( !cur ) + NEXT(prev) = m; + return top; + } +} + +void subd(VL vl,DP p1,DP p2,DP *pr) +{ DP t; if ( !p2 ) @@ -433,8 +474,7 @@ DP p1,p2,*pr; } } -void chsgnd(p,pr) -DP p,*pr; +void chsgnd(DP p,DP *pr) { MP m,mr,mr0; @@ -450,9 +490,7 @@ DP p,*pr; } } -void muld(vl,p1,p2,pr) -VL vl; -DP p1,p2,*pr; +void muld(VL vl,DP p1,DP p2,DP *pr) { if ( ! do_weyl ) comm_muld(vl,p1,p2,pr); @@ -460,9 +498,7 @@ DP p1,p2,*pr; weyl_muld(vl,p1,p2,pr); } -void comm_muld(vl,p1,p2,pr) -VL vl; -DP p1,p2,*pr; +void comm_muld(VL vl,DP p1,DP p2,DP *pr) { MP m; DP s,t,u; @@ -498,11 +534,7 @@ DP p1,p2,*pr; } } -void muldm(vl,p,m0,pr) -VL vl; -DP p; -MP m0; -DP *pr; +void muldm(VL vl,DP p,MP m0,DP *pr) { MP m,mr,mr0; P c; @@ -527,9 +559,7 @@ DP *pr; } } -void weyl_muld(vl,p1,p2,pr) -VL vl; -DP p1,p2,*pr; +void weyl_muld(VL vl,DP p1,DP p2,DP *pr) { MP m; DP s,t,u; @@ -562,11 +592,7 @@ DP p1,p2,*pr; /* monomial * polynomial */ -void weyl_muldm(vl,m0,p,pr) -VL vl; -MP m0; -DP p; -DP *pr; +void weyl_muldm(VL vl,MP m0,DP p,DP *pr) { DP r,t,t1; MP m; @@ -624,16 +650,9 @@ DP *pr; /* m0 = x0^d0*x1^d1*... * dx0^e0*dx1^e1*... */ /* rtab : array of length (e0+1)*(e1+1)*... */ -void weyl_mulmm(vl,m0,m1,n,rtab,rtablen) -VL vl; -MP m0,m1; -int n; -struct cdl *rtab; -int rtablen; +void weyl_mulmm(VL vl,MP m0,MP m1,int n,struct cdl *rtab,int rtablen) { - MP m,mr,mr0; - DP r,t,t1; - P c,c0,c1,cc; + P c,c0,c1; DL d,d0,d1,dt; int i,j,a,b,k,l,n2,s,min,curlen; struct cdl *p; @@ -671,10 +690,13 @@ int rtablen; for ( i = 0; i < n2; i++ ) { a = d0->d[i]; b = d1->d[n2+i]; k = d0->d[n2+i]; l = d1->d[i]; + + /* degree of xi^a*(Di^k*xi^l)*Di^b */ + a += l; + b += k; + s = MUL_WEIGHT(a,i)+MUL_WEIGHT(b,n2+i); + if ( !k || !l ) { - a += l; - b += k; - s = a+b; for ( j = 0, p = rtab; j < curlen; j++, p++ ) { if ( p->c ) { dt = p->d; @@ -693,8 +715,6 @@ int rtablen; tab = (struct cdl *)MALLOC(tablen*sizeof(struct cdl)); ctab = (Q *)MALLOC(tablen*sizeof(Q)); } - /* degree of xi^a*(Di^k*xi^l)*Di^b */ - s = a+k+l+b; /* compute xi^a*(Di^k*xi^l)*Di^b */ min = MIN(k,l); mkwc(k,l,ctab); @@ -702,17 +722,17 @@ int rtablen; if ( n & 1 ) for ( j = 0; j <= min; j++ ) { NEWDL(d,n); - d->d[i] = l-j+a; d->d[n2+i] = k-j+b; + d->d[i] = a-j; d->d[n2+i] = b-j; d->td = s; - d->d[n-1] = s-(d->d[i]+d->d[n2+i]); + 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]; } else for ( j = 0; j <= min; j++ ) { NEWDL(d,n); - d->d[i] = l-j+a; d->d[n2+i] = k-j+b; - d->td = d->d[i]+d->d[n2+i]; /* XXX */ + 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]; } @@ -732,14 +752,7 @@ int rtablen; ] */ -void comm_muld_tab(vl,nv,t,n,t1,n1,rt) -VL vl; -int nv; -struct cdl *t; -int n; -struct cdl *t1; -int n1; -struct cdl *rt; +void comm_muld_tab(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1,struct cdl *rt) { int i,j; struct cdl *p; @@ -761,11 +774,7 @@ struct cdl *rt; } } -void muldc(vl,p,c,pr) -VL vl; -DP p; -P c; -DP *pr; +void muldc(VL vl,DP p,P c,DP *pr) { MP m,mr,mr0; @@ -790,11 +799,7 @@ DP *pr; } } -void divsdc(vl,p,c,pr) -VL vl; -DP p; -P c; -DP *pr; +void divsdc(VL vl,DP p,P c,DP *pr) { MP m,mr,mr0; @@ -812,10 +817,7 @@ DP *pr; } } -void adddl(n,d1,d2,dr) -int n; -DL d1,d2; -DL *dr; +void adddl(int n,DL d1,DL d2,DL *dr) { DL dt; int i; @@ -834,11 +836,8 @@ DL *dr; /* d1 += d2 */ -void adddl_destructive(n,d1,d2) -int n; -DL d1,d2; +void adddl_destructive(int n,DL d1,DL d2) { - DL dt; int i; d1->td += d2->td; @@ -846,9 +845,7 @@ DL d1,d2; d1->d[i] += d2->d[i]; } -int compd(vl,p1,p2) -VL vl; -DP p1,p2; +int compd(VL vl,DP p1,DP p2) { int n,t; MP m1,m2; @@ -872,9 +869,7 @@ DP p1,p2; } } -int cmpdl_lex(n,d1,d2) -int n; -DL d1,d2; +int cmpdl_lex(int n,DL d1,DL d2) { int i; @@ -882,9 +877,7 @@ DL d1,d2; return i == n ? 0 : (d1->d[i] > d2->d[i] ? 1 : -1); } -int cmpdl_revlex(n,d1,d2) -int n; -DL d1,d2; +int cmpdl_revlex(int n,DL d1,DL d2) { int i; @@ -892,9 +885,7 @@ DL d1,d2; return i < 0 ? 0 : (d1->d[i] < d2->d[i] ? 1 : -1); } -int cmpdl_gradlex(n,d1,d2) -int n; -DL d1,d2; +int cmpdl_gradlex(int n,DL d1,DL d2) { if ( d1->td > d2->td ) return 1; @@ -904,9 +895,7 @@ DL d1,d2; return cmpdl_lex(n,d1,d2); } -int cmpdl_revgradlex(n,d1,d2) -int n; -DL d1,d2; +int cmpdl_revgradlex(int n,DL d1,DL d2) { register int i; register int *p1,*p2; @@ -922,9 +911,7 @@ DL d1,d2; } } -int cmpdl_blex(n,d1,d2) -int n; -DL d1,d2; +int cmpdl_blex(int n,DL d1,DL d2) { int c; @@ -936,9 +923,7 @@ DL d1,d2; } } -int cmpdl_bgradlex(n,d1,d2) -int n; -DL d1,d2; +int cmpdl_bgradlex(int n,DL d1,DL d2) { int e1,e2,c; @@ -956,9 +941,7 @@ DL d1,d2; } } -int cmpdl_brevgradlex(n,d1,d2) -int n; -DL d1,d2; +int cmpdl_brevgradlex(int n,DL d1,DL d2) { int e1,e2,c; @@ -976,9 +959,7 @@ DL d1,d2; } } -int cmpdl_brevrev(n,d1,d2) -int n; -DL d1,d2; +int cmpdl_brevrev(int n,DL d1,DL d2) { int e1,e2,f1,f2,c,i; @@ -1005,9 +986,7 @@ DL d1,d2; } } -int cmpdl_bgradrev(n,d1,d2) -int n; -DL d1,d2; +int cmpdl_bgradrev(int n,DL d1,DL d2) { int e1,e2,f1,f2,c,i; @@ -1034,9 +1013,7 @@ DL d1,d2; } } -int cmpdl_blexrev(n,d1,d2) -int n; -DL d1,d2; +int cmpdl_blexrev(int n,DL d1,DL d2) { int e1,e2,f1,f2,c,i; @@ -1057,9 +1034,7 @@ DL d1,d2; } } -int cmpdl_elim(n,d1,d2) -int n; -DL d1,d2; +int cmpdl_elim(int n,DL d1,DL d2) { int e1,e2,i; @@ -1074,9 +1049,7 @@ DL d1,d2; return cmpdl_revgradlex(n,d1,d2); } -int cmpdl_weyl_elim(n,d1,d2) -int n; -DL d1,d2; +int cmpdl_weyl_elim(int n,DL d1,DL d2) { int e1,e2,i; @@ -1094,24 +1067,118 @@ DL d1,d2; else return -cmpdl_revlex(n,d1,d2); } -int cmpdl_order_pair(n,d1,d2) -int n; -DL d1,d2; +/* + a special ordering + 1. total order + 2. (-w,w) for the first 2*m variables + 3. DRL for the first 2*m variables +*/ + +extern int *current_weyl_weight_vector; + +int cmpdl_homo_ww_drl(int n,DL d1,DL d2) { + int e1,e2,m,i; + int *p1,*p2; + + if ( d1->td > d2->td ) + return 1; + else if ( d1->td < d2->td ) + return -1; + + m = n>>1; + for ( i = 0, e1 = e2 = 0, p1 = d1->d, p2 = d2->d; i < m; i++ ) { + e1 += current_weyl_weight_vector[i]*(p1[m+i] - p1[i]); + e2 += current_weyl_weight_vector[i]*(p2[m+i] - p2[i]); + } + if ( e1 > e2 ) + return 1; + else if ( e1 < e2 ) + return -1; + + e1 = d1->td - d1->d[n-1]; + e2 = d2->td - d2->d[n-1]; + if ( e1 > e2 ) + return 1; + else if ( e1 < e2 ) + return -1; + + for ( i= n - 1, p1 = d1->d+n-1, p2 = d2->d+n-1; + i >= 0 && *p1 == *p2; i--, p1--, p2-- ); + return i < 0 ? 0 : (*p1 < *p2 ? 1 : -1); +} + +int cmpdl_drl_zigzag(int n,DL d1,DL d2) +{ + int i,t,m; + int *p1,*p2; + + if ( d1->td > d2->td ) + return 1; + else if ( d1->td < d2->td ) + return -1; + else { + m = n>>1; + for ( i= m - 1, p1 = d1->d, p2 = d2->d; i >= 0; i-- ) { + if ( t = p1[m+i] - p2[m+i] ) return t > 0 ? -1 : 1; + if ( t = p1[i] - p2[i] ) return t > 0 ? -1 : 1; + } + return 0; + } +} + +int cmpdl_homo_ww_drl_zigzag(int n,DL d1,DL d2) +{ + int e1,e2,m,i,t; + int *p1,*p2; + + if ( d1->td > d2->td ) + return 1; + else if ( d1->td < d2->td ) + return -1; + + m = n>>1; + for ( i = 0, e1 = e2 = 0, p1 = d1->d, p2 = d2->d; i < m; i++ ) { + e1 += current_weyl_weight_vector[i]*(p1[m+i] - p1[i]); + e2 += current_weyl_weight_vector[i]*(p2[m+i] - p2[i]); + } + if ( e1 > e2 ) + return 1; + else if ( e1 < e2 ) + return -1; + + e1 = d1->td - d1->d[n-1]; + e2 = d2->td - d2->d[n-1]; + if ( e1 > e2 ) + return 1; + else if ( e1 < e2 ) + return -1; + + for ( i= m - 1, p1 = d1->d, p2 = d2->d; i >= 0; i-- ) { + if ( t = p1[m+i] - p2[m+i] ) return t > 0 ? -1 : 1; + if ( t = p1[i] - p2[i] ) return t > 0 ? -1 : 1; + } + return 0; +} + +int cmpdl_order_pair(int n,DL d1,DL d2) +{ int e1,e2,i,j,l; int *t1,*t2; - int len; + int len,head; struct order_pair *pair; len = dp_current_spec.ord.block.length; pair = dp_current_spec.ord.block.order_pair; + head = 0; for ( i = 0, t1 = d1->d, t2 = d2->d; i < len; i++ ) { l = pair[i].length; switch ( pair[i].order ) { case 0: for ( j = 0, e1 = e2 = 0; j < l; j++ ) { - e1 += t1[j]; e2 += t2[j]; + e1 += MUL_WEIGHT(t1[j],head+j); + e2 += MUL_WEIGHT(t2[j],head+j); } if ( e1 > e2 ) return 1; @@ -1125,7 +1192,8 @@ DL d1,d2; break; case 1: for ( j = 0, e1 = e2 = 0; j < l; j++ ) { - e1 += t1[j]; e2 += t2[j]; + e1 += MUL_WEIGHT(t1[j],head+j); + e2 += MUL_WEIGHT(t2[j],head+j); } if ( e1 > e2 ) return 1; @@ -1145,14 +1213,12 @@ DL d1,d2; default: error("cmpdl_order_pair : invalid order"); break; } - t1 += l; t2 += l; + t1 += l; t2 += l; head += l; } return 0; } -int cmpdl_matrix(n,d1,d2) -int n; -DL d1,d2; +int cmpdl_matrix(int n,DL d1,DL d2) { int *v,*w,*t1,*t2; int s,i,j,len;