| version 1.46, 2021/01/25 00:39:52 |
version 1.48, 2021/02/18 05:35:01 |
|
|
| /* $OpenXM: OpenXM_contrib2/asir2018/engine/nd.c,v 1.45 2021/01/11 08:37:44 noro Exp $ */ |
/* $OpenXM: OpenXM_contrib2/asir2018/engine/nd.c,v 1.47 2021/02/01 08:06:33 noro Exp $ */ |
| |
|
| #include "nd.h" |
#include "nd.h" |
| |
|
| void print_siglist(NODE l); |
void print_siglist(NODE l); |
| |
|
| int Nnd_add,Nf4_red,NcriB,NcriMF,Ncri2,Npairs; |
int Nnd_add,Nf4_red,NcriB,NcriMF,Ncri2,Npairs,Nnewpair; |
| struct oEGT eg_search,f4_symb,f4_conv,f4_elim1,f4_elim2; |
struct oEGT eg_search,f4_symb,f4_conv,f4_elim1,f4_elim2; |
| |
|
| int diag_period = 6; |
int diag_period = 6; |
| Line 2592 get_eg(&eg2); add_eg(&eg_update,&eg1,&eg2); |
|
| Line 2592 get_eg(&eg2); add_eg(&eg_update,&eg1,&eg2); |
|
| } |
} |
| |
|
| ND_pairs update_pairs_s(ND_pairs d,int t,NODE *syz); |
ND_pairs update_pairs_s(ND_pairs d,int t,NODE *syz); |
| |
int update_pairs_array_s(ND_pairs *d,int t,NODE *syz); |
| ND_pairs nd_newpairs_s(int t ,NODE *syz); |
ND_pairs nd_newpairs_s(int t ,NODE *syz); |
| |
ND_pairs *nd_newpairs_array_s(int t ,NODE *syz); |
| |
|
| int nd_nf_pbucket_s(int mod,ND g,NDV *ps,int full,ND *nf); |
int nd_nf_pbucket_s(int mod,ND g,NDV *ps,int full,ND *nf); |
| int nd_nf_s(int mod,ND d,ND g,NDV *ps,int full,ND *nf); |
int nd_nf_s(int mod,ND d,ND g,NDV *ps,int full,ND *nf); |
| Line 2721 ND_pairs find_smallest_lcm(ND_pairs l) |
|
| Line 2723 ND_pairs find_smallest_lcm(ND_pairs l) |
|
| _addtodl(nd_nvar,quo,mul); |
_addtodl(nd_nvar,quo,mul); |
| if ( (*cmpdl)(nd_nvar,minlm,mul) > 0 ) { |
if ( (*cmpdl)(nd_nvar,minlm,mul) > 0 ) { |
| minindex = i; |
minindex = i; |
| |
break; |
| _copydl(nd_nvar,mul,minlm); |
_copydl(nd_nvar,mul,minlm); |
| } |
} |
| } |
} |
| } |
} |
| // l->lcm is minimal; return l itself |
// l->lcm is minimal; return l itself |
| if ( minindex < 0 ) return l; |
if ( minindex < 0 ) return l; |
| |
else return 0; |
| for ( i = 0; i < nd_psn; i++ ) { |
for ( i = 0; i < nd_psn; i++ ) { |
| if ( i == minindex ) continue; |
if ( i == minindex ) continue; |
| _ndltodl(DL(nd_psh[i]),mul); |
_ndltodl(DL(nd_psh[i]),mul); |
| Line 2808 SIG trivial_sig(int i,int j) |
|
| Line 2812 SIG trivial_sig(int i,int j) |
|
| return sig; |
return sig; |
| } |
} |
| |
|
| |
int nd_minsig(ND_pairs *d) |
| |
{ |
| |
int min,i,ret; |
| |
|
| |
min = -1; |
| |
for ( i = 0; i < nd_nbase; i++ ) { |
| |
if ( d[i] != 0 ) { |
| |
if ( min < 0 ) min = i; |
| |
else { |
| |
ret = comp_sig(d[i]->sig,d[min]->sig); |
| |
if ( ret < 0 ) min = i; |
| |
} |
| |
} |
| |
} |
| |
return min; |
| |
} |
| |
|
| |
int dlength(ND_pairs d) |
| |
{ |
| |
int i; |
| |
for ( i = 0; d; d = d->next, i++ ); |
| |
return i; |
| |
} |
| |
|
| NODE nd_sba_buch(int m,int ishomo,int **indp,NODE *syzp) |
NODE nd_sba_buch(int m,int ishomo,int **indp,NODE *syzp) |
| { |
{ |
| int i,j,nh,sugar,stat,pos; |
int i,j,nh,sugar,stat,pos; |
| NODE r,t,g; |
NODE r,t,g; |
| ND_pairs d; |
ND_pairs *d; |
| ND_pairs l,l1; |
ND_pairs l,l1; |
| ND h,nf,s,head,nf1; |
ND h,nf,s,head,nf1; |
| NDV nfv; |
NDV nfv; |
| Line 2822 NODE nd_sba_buch(int m,int ishomo,int **indp,NODE *syz |
|
| Line 2850 NODE nd_sba_buch(int m,int ishomo,int **indp,NODE *syz |
|
| LIST list; |
LIST list; |
| SIG sig; |
SIG sig; |
| NODE *syzlist; |
NODE *syzlist; |
| int ngen; |
int ngen,ind; |
| int Nnominimal,Nredundant; |
int Nnominimal,Nredundant; |
| DL lcm,quo,mul; |
DL lcm,quo,mul; |
| struct oEGT eg1,eg2,eg_update,eg_remove,eg_large,eg_nf,eg_nfzero; |
struct oEGT eg1,eg2,eg_update,eg_remove,eg_large,eg_nf,eg_nfzero,eg_minsig,eg_smallest; |
| int Nnfs=0,Nnfz=0,Nnfnz=0; |
int Nnfs=0,Nnfz=0,Nnfnz=0,dlen,nsyz; |
| |
|
| init_eg(&eg_remove); |
init_eg(&eg_remove); |
| syzlist = (NODE *)MALLOC(nd_psn*sizeof(NODE)); |
syzlist = (NODE *)MALLOC(nd_psn*sizeof(NODE)); |
| |
d = (ND_pairs *)MALLOC(nd_psn*sizeof(ND_pairs)); |
| |
nd_nbase = nd_psn; |
| Nsyz = 0; |
Nsyz = 0; |
| Nnd_add = 0; |
Nnd_add = 0; |
| Nnominimal = 0; |
Nnominimal = 0; |
| Nredundant = 0; |
Nredundant = 0; |
| d = 0; |
|
| ngen = nd_psn; |
ngen = nd_psn; |
| for ( i = 0; i < nd_psn; i++ ) |
if ( !do_weyl ) { |
| for ( j = i+1; j < nd_psn; j++ ) { |
for ( i = 0; i < nd_psn; i++ ) |
| sig = trivial_sig(i,j); |
for ( j = i+1; j < nd_psn; j++ ) { |
| syzlist[sig->pos] = insert_sig(syzlist[sig->pos],sig); |
sig = trivial_sig(i,j); |
| |
syzlist[sig->pos] = insert_sig(syzlist[sig->pos],sig); |
| |
} |
| } |
} |
| |
dlen = 0; |
| for ( i = 0; i < nd_psn; i++ ) { |
for ( i = 0; i < nd_psn; i++ ) { |
| d = update_pairs_s(d,i,syzlist); |
dlen += update_pairs_array_s(d,i,syzlist); |
| } |
} |
| sugar = 0; |
sugar = 0; |
| pos = 0; |
pos = 0; |
| NEWDL(lcm,nd_nvar); NEWDL(quo,nd_nvar); NEWDL(mul,nd_nvar); |
NEWDL(lcm,nd_nvar); NEWDL(quo,nd_nvar); NEWDL(mul,nd_nvar); |
| init_eg(&eg_create); |
init_eg(&eg_create); |
| init_eg(&eg_merge); |
init_eg(&eg_merge); |
| |
init_eg(&eg_minsig); |
| |
init_eg(&eg_smallest); |
| init_eg(&eg_large); |
init_eg(&eg_large); |
| init_eg(&eg_nf); |
init_eg(&eg_nf); |
| init_eg(&eg_nfzero); |
init_eg(&eg_nfzero); |
| while ( d ) { |
while ( 1 ) { |
| again: |
if ( DP_Print && dlen%100 == 0 ) fprintf(asir_out,"(%d)",dlen); |
| if ( DP_Print ) { |
again : |
| int len; |
get_eg(&eg1); |
| ND_pairs td; |
ind = nd_minsig(d); |
| for ( td = d, len=0; td; td = td->next, len++) |
get_eg(&eg2); add_eg(&eg_minsig,&eg1,&eg2); |
| ; |
if ( ind < 0 ) break; |
| if ( !(len%100) ) fprintf(asir_out,"(%d)",len); |
l = d[ind]; |
| } |
// printf("(%d,%d)",l->i1,l->i2); print_sig(l->sig); printf("\n"); |
| l = d; d = d->next; |
get_eg(&eg1); |
| #if 0 |
|
| if ( small_lcm(l) ) { |
|
| if ( DP_Print ) fprintf(asir_out,"M"); |
|
| Nnominimal++; |
|
| continue; |
|
| } |
|
| if ( SG(l) != sugar ) { |
|
| sugar = SG(l); |
|
| if ( DP_Print ) fprintf(asir_out,"%d",sugar); |
|
| } |
|
| sig = l->sig; |
|
| if ( DP_Print && nd_sba_pot ) { |
|
| if ( sig->pos != pos ) { |
|
| fprintf(asir_out,"[%d]",sig->pos); |
|
| pos = sig->pos; |
|
| } |
|
| } |
|
| stat = nd_sp(m,0,l,&h); |
|
| #else |
|
| // if ( l->sig->dl->td == 0 ) |
|
| // if ( DP_Print ) print_sig(l->sig); |
|
| l1 = find_smallest_lcm(l); |
l1 = find_smallest_lcm(l); |
| |
get_eg(&eg2); add_eg(&eg_smallest,&eg1,&eg2); |
| if ( l1 == 0 ) { |
if ( l1 == 0 ) { |
| |
d[ind] = d[ind]->next; dlen--; |
| if ( DP_Print ) fprintf(asir_out,"M"); |
if ( DP_Print ) fprintf(asir_out,"M"); |
| Nnominimal++; |
Nnominimal++; |
| continue; |
continue; |
|
|
| } |
} |
| } |
} |
| stat = nd_sp(m,0,l1,&h); |
stat = nd_sp(m,0,l1,&h); |
| #endif |
|
| if ( !stat ) { |
if ( !stat ) { |
| NEXT(l) = d; d = l; |
nd_reconstruct_s(0,d); |
| d = nd_reconstruct(0,d); |
|
| goto again; |
goto again; |
| } |
} |
| get_eg(&eg1); |
get_eg(&eg1); |
|
|
| #endif |
#endif |
| get_eg(&eg2); |
get_eg(&eg2); |
| if ( !stat ) { |
if ( !stat ) { |
| NEXT(l) = d; d = l; |
nd_reconstruct_s(0,d); |
| d = nd_reconstruct(0,d); |
|
| goto again; |
goto again; |
| } else if ( stat == -1 ) { |
} else if ( stat == -1 ) { |
| |
d[ind] = d[ind]->next; dlen--; |
| Nnfs++; |
Nnfs++; |
| if ( DP_Print ) { printf("S"); fflush(stdout); } |
if ( DP_Print ) { printf("S"); fflush(stdout); } |
| FREENDP(l); |
|
| } else if ( nf ) { |
} else if ( nf ) { |
| |
d[ind] = d[ind]->next; dlen--; |
| Nnfnz++; |
Nnfnz++; |
| if ( DP_Print ) { |
if ( DP_Print ) { |
| if ( nd_sba_redundant_check ) { |
if ( nd_sba_redundant_check ) { |
|
|
| nfv = ndtondv(m,nf); nd_free(nf); |
nfv = ndtondv(m,nf); nd_free(nf); |
| nh = ndv_newps(m,nfv,0); |
nh = ndv_newps(m,nfv,0); |
| |
|
| d = update_pairs_s(d,nh,syzlist); |
dlen += update_pairs_array_s(d,nh,syzlist); |
| nd_sba_pos[sig->pos] = append_one(nd_sba_pos[sig->pos],nh); |
nd_sba_pos[sig->pos] = append_one(nd_sba_pos[sig->pos],nh); |
| FREENDP(l); |
|
| } else { |
} else { |
| |
d[ind] = d[ind]->next; dlen--; |
| Nnfz++; |
Nnfz++; |
| add_eg(&eg_nfzero,&eg1,&eg2); |
add_eg(&eg_nfzero,&eg1,&eg2); |
| // syzygy |
// syzygy |
| get_eg(&eg1); |
get_eg(&eg1); |
| d = remove_spair_s(d,sig); |
nsyz = Nsyz; |
| |
d[sig->pos] = remove_spair_s(d[sig->pos],sig); |
| |
dlen -= Nsyz-nsyz; |
| get_eg(&eg2); add_eg(&eg_remove,&eg1,&eg2); |
get_eg(&eg2); add_eg(&eg_remove,&eg1,&eg2); |
| syzlist[sig->pos] = insert_sig(syzlist[sig->pos],sig); |
syzlist[sig->pos] = insert_sig(syzlist[sig->pos],sig); |
| if ( DP_Print ) { printf("."); fflush(stdout); } |
if ( DP_Print ) { printf("."); fflush(stdout); } |
| FREENDP(l); |
|
| } |
} |
| } |
} |
| g = conv_ilist_s(nd_demand,0,indp); |
g = conv_ilist_s(nd_demand,0,indp); |
| if ( DP_Print ) { |
if ( DP_Print ) { |
| printf("\nnd_sba done. nd_add=%d,Nsyz=%d,Nsamesig=%d,Nnominimal=%d\n",Nnd_add,Nsyz,Nsamesig,Nnominimal); |
printf("\ndlen=%d,nd_sba done. nd_add=%d,Nsyz=%d,Nsamesig=%d,Nnominimal=%d\n",dlen,Nnd_add,Nsyz,Nsamesig,Nnominimal); |
| printf("Nnfnz=%d,Nnfz=%d,Nnfsingular=%d\n",Nnfnz,Nnfz,Nnfs); |
printf("Nnfnz=%d,Nnfz=%d,Nnfsingular=%d\n",Nnfnz,Nnfz,Nnfs); |
| fflush(stdout); |
fflush(stdout); |
| if ( nd_sba_redundant_check ) |
if ( nd_sba_redundant_check ) |
| Line 2966 get_eg(&eg2); add_eg(&eg_remove,&eg1,&eg2); |
|
| Line 2980 get_eg(&eg2); add_eg(&eg_remove,&eg1,&eg2); |
|
| fflush(stdout); |
fflush(stdout); |
| print_eg("create",&eg_create); |
print_eg("create",&eg_create); |
| print_eg("merge",&eg_merge); |
print_eg("merge",&eg_merge); |
| |
print_eg("minsig",&eg_minsig); |
| |
print_eg("smallest",&eg_smallest); |
| print_eg("remove",&eg_remove); |
print_eg("remove",&eg_remove); |
| print_eg("nf",&eg_nf); |
print_eg("nf",&eg_nf); |
| print_eg("nfzero",&eg_nfzero); |
print_eg("nfzero",&eg_nfzero); |
| printf("\n"); |
printf("\n"); |
| } |
} |
| if ( nd_sba_syz ) { |
if ( nd_sba_syz ) { |
| |
print_eg("remove",&eg_remove); |
| |
print_eg("nf",&eg_nf); |
| |
print_eg("nfzero",&eg_nfzero); |
| |
printf("\n"); |
| |
} |
| |
if ( nd_sba_syz ) { |
| NODE hsyz,tsyz,prev; |
NODE hsyz,tsyz,prev; |
| |
|
| hsyz = 0; |
hsyz = 0; |
| Line 3431 get_eg(&eg3); add_eg(&eg_merge,&eg2,&eg3); |
|
| Line 3453 get_eg(&eg3); add_eg(&eg_merge,&eg2,&eg3); |
|
| return d; |
return d; |
| } |
} |
| |
|
| |
int update_pairs_array_s( ND_pairs *d, int t,NODE *syz) |
| |
{ |
| |
ND_pairs *d1; |
| |
struct oEGT eg1,eg2,eg3; |
| |
int i; |
| |
|
| |
if ( !t ) return 0; |
| |
get_eg(&eg1); |
| |
Nnewpair = 0; |
| |
d1 = nd_newpairs_array_s(t,syz); |
| |
get_eg(&eg2); add_eg(&eg_create,&eg1,&eg2); |
| |
for ( i = 0; i < nd_nbase; i++ ) |
| |
d[i] = merge_pairs_s(d[i],d1[i]); |
| |
get_eg(&eg3); add_eg(&eg_merge,&eg2,&eg3); |
| |
return Nnewpair; |
| |
} |
| |
|
| ND_pairs nd_newpairs( NODE g, int t ) |
ND_pairs nd_newpairs( NODE g, int t ) |
| { |
{ |
| NODE h; |
NODE h; |
| Line 3677 int comp_sig(SIG s1,SIG s2) |
|
| Line 3716 int comp_sig(SIG s1,SIG s2) |
|
| } |
} |
| _adddl(nd_nvar,s1->dl,nd_sba_hm[s1->pos],m1); |
_adddl(nd_nvar,s1->dl,nd_sba_hm[s1->pos],m1); |
| _adddl(nd_nvar,s2->dl,nd_sba_hm[s2->pos],m2); |
_adddl(nd_nvar,s2->dl,nd_sba_hm[s2->pos],m2); |
| ret = comp_sig_monomial(nd_nvar,m1,m2); |
if ( !nd_sba_modord ) |
| |
ret = (*cmpdl)(nd_nvar,m1,m2); |
| |
else |
| |
ret = comp_sig_monomial(nd_nvar,m1,m2); |
| if ( ret != 0 ) return ret; |
if ( ret != 0 ) return ret; |
| else if ( s1->pos > s2->pos ) return 1; |
else if ( s1->pos > s2->pos ) return 1; |
| else if ( s1->pos < s2->pos ) return -1; |
else if ( s1->pos < s2->pos ) return -1; |
| Line 3765 ND_pairs merge_pairs_s(ND_pairs p1,ND_pairs p2) |
|
| Line 3807 ND_pairs merge_pairs_s(ND_pairs p1,ND_pairs p2) |
|
| } else if ( ret > 0 ) { |
} else if ( ret > 0 ) { |
| r->next = q2; r = q2; q2 = q2->next; |
r->next = q2; r = q2; q2 = q2->next; |
| } else { |
} else { |
| |
Nnewpair--; |
| ret = DL_COMPARE(q1->lcm,q2->lcm); |
ret = DL_COMPARE(q1->lcm,q2->lcm); |
| Nsamesig++; |
Nsamesig++; |
| if ( ret < 0 ) { |
if ( ret < 0 ) { |
| Line 3787 ND_pairs merge_pairs_s(ND_pairs p1,ND_pairs p2) |
|
| Line 3830 ND_pairs merge_pairs_s(ND_pairs p1,ND_pairs p2) |
|
| ND_pairs insert_pair_s(ND_pairs l,ND_pairs s) |
ND_pairs insert_pair_s(ND_pairs l,ND_pairs s) |
| { |
{ |
| ND_pairs p,prev; |
ND_pairs p,prev; |
| int ret; |
int ret=1; |
| |
|
| for ( p = l, prev = 0; p != 0; prev = p, p = p->next ) { |
for ( p = l, prev = 0; p != 0; prev = p, p = p->next ) { |
| if ( (ret = comp_sig(s->sig,p->sig)) <= 0 ) |
if ( (ret = comp_sig(s->sig,p->sig)) <= 0 ) |
| Line 3808 ND_pairs insert_pair_s(ND_pairs l,ND_pairs s) |
|
| Line 3851 ND_pairs insert_pair_s(ND_pairs l,ND_pairs s) |
|
| return l; |
return l; |
| } else { |
} else { |
| // insert s between prev and p |
// insert s between prev and p |
| |
Nnewpair++; |
| s->next = p; |
s->next = p; |
| if ( prev == 0 ) { |
if ( prev == 0 ) { |
| return s; |
return s; |
| Line 3869 ND_pairs nd_newpairs_s(int t, NODE *syz) |
|
| Line 3913 ND_pairs nd_newpairs_s(int t, NODE *syz) |
|
| return r0; |
return r0; |
| } |
} |
| |
|
| |
ND_pairs *nd_newpairs_array_s(int t, NODE *syz) |
| |
{ |
| |
NODE h,s; |
| |
UINT *dl; |
| |
int ts,ret,i; |
| |
ND_pairs r,r0,_sp,sp; |
| |
ND_pairs *d; |
| |
SIG spsig,tsig; |
| |
static int nvar = 0; |
| |
static SIG _sig1,_sig2; |
| |
struct oEGT eg1,eg2,eg3,eg4; |
| |
|
| |
NEWND_pairs(_sp); |
| |
if ( !_sig1 || nvar != nd_nvar ) { |
| |
nvar = nd_nvar; NEWSIG(_sig1); NEWSIG(_sig2); |
| |
} |
| |
d = (ND_pairs *)MALLOC(nd_nbase*sizeof(ND_pairs)); |
| |
Nnewpair = 0; |
| |
for ( i = 0; i < t; i++ ) { |
| |
ret = _create_spair_s(i,t,_sp,_sig1,_sig2); |
| |
if ( ret ) { |
| |
spsig = _sp->sig; |
| |
for ( s = syz[spsig->pos]; s; s = s->next ) { |
| |
tsig = (SIG)s->body; |
| |
if ( _dl_redble(DL(tsig),DL(spsig),nd_nvar) ) |
| |
break; |
| |
} |
| |
if ( s == 0 ) { |
| |
NEWND_pairs(sp); |
| |
dup_ND_pairs(sp,_sp); |
| |
d[spsig->pos] = insert_pair_s(d[spsig->pos],sp); |
| |
} else |
| |
Nsyz++; |
| |
} |
| |
} |
| |
return d; |
| |
} |
| |
|
| /* ipair = [i1,i2],[i1,i2],... */ |
/* ipair = [i1,i2],[i1,i2],... */ |
| ND_pairs nd_ipairtospair(NODE ipair) |
ND_pairs nd_ipairtospair(NODE ipair) |
| { |
{ |
| Line 6172 void nd_reconstruct_s(int trace,ND_pairs *d) |
|
| Line 6254 void nd_reconstruct_s(int trace,ND_pairs *d) |
|
| SG(s) = SG(t); |
SG(s) = SG(t); |
| ndl_reconstruct(LCM(t),LCM(s),obpe,oepos); |
ndl_reconstruct(LCM(t),LCM(s),obpe,oepos); |
| } |
} |
| |
if ( s0 ) NEXT(s) = 0; |
| d[i] = s0; |
d[i] = s0; |
| } |
} |
| |
|
| Line 6887 ND ptond(VL vl,VL dvl,P p) |
|
| Line 6970 ND ptond(VL vl,VL dvl,P p) |
|
| else if ( NUM(p) ) { |
else if ( NUM(p) ) { |
| NEWNM(m); |
NEWNM(m); |
| ndl_zero(DL(m)); |
ndl_zero(DL(m)); |
| if ( !INT((Q)p) ) |
if ( RATN(p) && !INT((Q)p) ) |
| error("ptond : input must be integer-coefficient"); |
error("ptond : input must be integer-coefficient"); |
| CZ(m) = (Z)p; |
CZ(m) = (Z)p; |
| NEXT(m) = 0; |
NEXT(m) = 0; |