| version 1.27, 2020/06/25 02:53:31 |
version 1.28, 2020/06/30 01:52:17 |
|
|
| /* $OpenXM: OpenXM_contrib2/asir2018/engine/nd.c,v 1.26 2020/06/23 01:49:58 noro Exp $ */ |
/* $OpenXM: OpenXM_contrib2/asir2018/engine/nd.c,v 1.27 2020/06/25 02:53:31 noro Exp $ */ |
| |
|
| #include "nd.h" |
#include "nd.h" |
| |
|
| Line 746 int ndl_module_glex_compare(UINT *d1,UINT *d2) |
|
| Line 746 int ndl_module_glex_compare(UINT *d1,UINT *d2) |
|
| |
|
| default: |
default: |
| error("ndl_module_glex_compare : invalid module_ordtype"); |
error("ndl_module_glex_compare : invalid module_ordtype"); |
| |
return 0; |
| } |
} |
| } |
} |
| |
|
| Line 778 int ndl_module_compare(UINT *d1,UINT *d2) |
|
| Line 779 int ndl_module_compare(UINT *d1,UINT *d2) |
|
| |
|
| default: |
default: |
| error("ndl_module_compare : invalid module_ordtype"); |
error("ndl_module_compare : invalid module_ordtype"); |
| |
return 0; |
| } |
} |
| } |
} |
| |
|
|
|
| break; |
break; |
| default: |
default: |
| error("ndl_schreyer_compare : invalid base ordtype"); |
error("ndl_schreyer_compare : invalid base ordtype"); |
| |
return 0; |
| } |
} |
| } |
} |
| |
|
| Line 2540 ND_pairs remove_spair_s(ND_pairs d,SIG sig) |
|
| Line 2543 ND_pairs remove_spair_s(ND_pairs d,SIG sig) |
|
| return (ND_pairs)root.next; |
return (ND_pairs)root.next; |
| } |
} |
| |
|
| |
int small_lcm(ND_pairs l) |
| |
{ |
| |
SIG sig; |
| |
int i; |
| |
static DL lcm,mul,quo; |
| |
static int nvar; |
| |
|
| |
if ( nvar < nd_nvar ) { |
| |
nvar = nd_nvar; NEWDL(lcm,nvar); NEWDL(quo,nvar); NEWDL(mul,nvar); |
| |
} |
| |
sig = l->sig; |
| |
_ndltodl(l->lcm,lcm); |
| |
for ( i = 0; i < nd_psn; i++ ) { |
| |
if ( sig->pos == nd_psh[i]->sig->pos && |
| |
_dl_redble(DL(nd_psh[i]->sig),DL(sig),nd_nvar) ) { |
| |
_copydl(nd_nvar,DL(sig),quo); |
| |
_subfromdl(nd_nvar,DL(nd_psh[i]->sig),quo); |
| |
_ndltodl(DL(nd_psh[i]),mul); |
| |
_addtodl(nd_nvar,quo,mul); |
| |
if ( (*cmpdl)(nd_nvar,lcm,mul) > 0 ) |
| |
break; |
| |
} |
| |
} |
| |
if ( i < nd_psn ) return 1; |
| |
else return 0; |
| |
} |
| |
|
| |
ND_pairs remove_large_lcm(ND_pairs d) |
| |
{ |
| |
struct oND_pairs root; |
| |
ND_pairs prev,p; |
| |
|
| |
root.next = d; |
| |
prev = &root; p = d; |
| |
while ( p ) { |
| |
if ( small_lcm(p) ) { |
| |
// remove p |
| |
prev->next = p->next; |
| |
} else |
| |
prev = p; |
| |
p = p->next; |
| |
} |
| |
return (ND_pairs)root.next; |
| |
} |
| |
|
| struct oEGT eg_create,eg_newpairs,eg_merge; |
struct oEGT eg_create,eg_newpairs,eg_merge; |
| |
|
| NODE nd_sba_buch(int m,int ishomo,int **indp) |
NODE nd_sba_buch(int m,int ishomo,int **indp) |
| Line 2557 NODE nd_sba_buch(int m,int ishomo,int **indp) |
|
| Line 2605 NODE nd_sba_buch(int m,int ishomo,int **indp) |
|
| SIG sig; |
SIG sig; |
| NODE syzlist; |
NODE syzlist; |
| int Nredundant; |
int Nredundant; |
| static int wpd,nvar; |
DL lcm,quo,mul; |
| static DL lcm,quo,mul; |
|
| struct oEGT eg1,eg2,eg_update,eg_remove; |
struct oEGT eg1,eg2,eg_update,eg_remove; |
| |
|
| init_eg(&eg_remove); |
init_eg(&eg_remove); |
|
|
| if ( DP_Print ) { |
if ( DP_Print ) { |
| int len; |
int len; |
| ND_pairs td; |
ND_pairs td; |
| for ( td = d, len=0; td; td = td->next, len++); |
for ( td = d, len=0; td; td = td->next, len++) |
| |
; |
| if ( !(len%100) ) fprintf(asir_out,"(%d)",len); |
if ( !(len%100) ) fprintf(asir_out,"(%d)",len); |
| } |
} |
| l = d; d = d->next; |
l = d; d = d->next; |
| sig = l->sig; |
if ( small_lcm(l) ) { |
| _ndltodl(l->lcm,lcm); |
|
| for ( i = 0; i < nd_psn; i++ ) { |
|
| if ( sig->pos == nd_psh[i]->sig->pos && |
|
| _dl_redble(DL(nd_psh[i]->sig),DL(sig),nd_nvar) ) { |
|
| _copydl(nd_nvar,DL(sig),quo); |
|
| _subfromdl(nd_nvar,DL(nd_psh[i]->sig),quo); |
|
| _ndltodl(DL(nd_psh[i]),mul); |
|
| _addtodl(nd_nvar,quo,mul); |
|
| if ( (*cmpdl)(nd_nvar,lcm,mul) > 0 ) |
|
| break; |
|
| } |
|
| } |
|
| if ( i < nd_psn ) { |
|
| if ( DP_Print ) fprintf(asir_out,"M"); |
if ( DP_Print ) fprintf(asir_out,"M"); |
| Nredundant++; |
Nredundant++; |
| continue; |
continue; |
|
|
| sugar = SG(l); |
sugar = SG(l); |
| if ( DP_Print ) fprintf(asir_out,"%d",sugar); |
if ( DP_Print ) fprintf(asir_out,"%d",sugar); |
| } |
} |
| |
sig = l->sig; |
| stat = nd_sp(m,0,l,&h); |
stat = nd_sp(m,0,l,&h); |
| if ( !stat ) { |
if ( !stat ) { |
| NEXT(l) = d; d = l; |
NEXT(l) = d; d = l; |
| Line 3598 ND_pairs nd_minsugarp( ND_pairs d, ND_pairs *prest ) |
|
| Line 3634 ND_pairs nd_minsugarp( ND_pairs d, ND_pairs *prest ) |
|
| return dm0; |
return dm0; |
| } |
} |
| |
|
| |
ND_pairs nd_minsugarp_s( ND_pairs d, ND_pairs *prest ) |
| |
{ |
| |
int msugar; |
| |
ND_pairs t,last; |
| |
|
| |
#if 0 |
| |
for ( msugar = SG(d), t = d; t; t = NEXT(t) ) |
| |
if ( SG(t) == msugar ) last = t; |
| |
#else |
| |
msugar = (d->sig->dl->td)+nd_sba_hm[d->sig->pos]->td; |
| |
for ( t = d; t; t = NEXT(t) ) |
| |
if ( ((t->sig->dl->td)+nd_sba_hm[t->sig->pos]->td) == msugar ) last = t; |
| |
#endif |
| |
*prest = last->next; |
| |
last->next = 0; |
| |
return d; |
| |
} |
| |
|
| int nd_tdeg(NDV c) |
int nd_tdeg(NDV c) |
| { |
{ |
| int wmax = 0; |
int wmax = 0; |
|
|
| #endif |
#endif |
| } |
} |
| |
|
| void nd_sba(LIST f,LIST v,int m,int homo,int retdp,struct order_spec *ord,LIST *rp) |
NODE nd_sba_f4(int m,int **indp); |
| |
|
| |
void nd_sba(LIST f,LIST v,int m,int homo,int retdp,int f4,struct order_spec *ord,LIST *rp) |
| { |
{ |
| VL tv,fv,vv,vc,av; |
VL tv,fv,vv,vc,av; |
| NODE fd,fd0,r,r0,t,x,s,xx; |
NODE fd,fd0,r,r0,t,x,s,xx; |
| Line 4211 void nd_sba(LIST f,LIST v,int m,int homo,int retdp,str |
|
| Line 4267 void nd_sba(LIST f,LIST v,int m,int homo,int retdp,str |
|
| } |
} |
| |
|
| ndv_setup(m,0,fd0,0,0,1); |
ndv_setup(m,0,fd0,0,0,1); |
| x = nd_sba_buch(m,ishomo || homo,&perm); |
x = f4 ? nd_sba_f4(m,&perm) : nd_sba_buch(m,ishomo || homo,&perm); |
| if ( !x ) { |
if ( !x ) { |
| *rp = 0; return; |
*rp = 0; return; |
| } |
} |
| Line 4841 void nd_print(ND p) |
|
| Line 4897 void nd_print(ND p) |
|
| else { |
else { |
| for ( m = BDY(p); m; m = NEXT(m) ) { |
for ( m = BDY(p); m; m = NEXT(m) ) { |
| if ( CM(m) & 0x80000000 ) printf("+@_%d*",IFTOF(CM(m))); |
if ( CM(m) & 0x80000000 ) printf("+@_%d*",IFTOF(CM(m))); |
| else printf("+%d*",CM(m)); |
else printf("+%ld*",CM(m)); |
| ndl_print(DL(m)); |
ndl_print(DL(m)); |
| } |
} |
| printf("\n"); |
printf("\n"); |
| Line 6419 ND ndvtond(int mod,NDV p) |
|
| Line 6475 ND ndvtond(int mod,NDV p) |
|
| NEXT(m) = 0; |
NEXT(m) = 0; |
| MKND(NV(p),m0,len,d); |
MKND(NV(p),m0,len,d); |
| SG(d) = SG(p); |
SG(d) = SG(p); |
| |
d->sig = p->sig; |
| return d; |
return d; |
| } |
} |
| |
|
| Line 6497 void ndv_print(NDV p) |
|
| Line 6554 void ndv_print(NDV p) |
|
| len = LEN(p); |
len = LEN(p); |
| for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) { |
for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) { |
| if ( CM(m) & 0x80000000 ) printf("+@_%d*",IFTOF(CM(m))); |
if ( CM(m) & 0x80000000 ) printf("+@_%d*",IFTOF(CM(m))); |
| else printf("+%d*",CM(m)); |
else printf("+%ld*",CM(m)); |
| ndl_print(DL(m)); |
ndl_print(DL(m)); |
| } |
} |
| printf("\n"); |
printf("\n"); |
| Line 7690 int nd_symbolic_preproc(PGeoBucket bucket,int trace,UI |
|
| Line 7747 int nd_symbolic_preproc(PGeoBucket bucket,int trace,UI |
|
| if ( ndl_check_bound2(index,DL(mul)) ) |
if ( ndl_check_bound2(index,DL(mul)) ) |
| return 0; |
return 0; |
| sugar = TD(DL(mul))+SG(ps[index]); |
sugar = TD(DL(mul))+SG(ps[index]); |
| MKNM_ind_pair(pair,mul,index,sugar); |
MKNM_ind_pair(pair,mul,index,sugar,0); |
| red = ndv_mul_nm_symbolic(mul,ps[index]); |
red = ndv_mul_nm_symbolic(mul,ps[index]); |
| add_pbucket_symbolic(bucket,nd_remove_head(red)); |
add_pbucket_symbolic(bucket,nd_remove_head(red)); |
| NEXTNODE(rp0,rp); BDY(rp) = (pointer)pair; |
NEXTNODE(rp0,rp); BDY(rp) = (pointer)pair; |
| Line 10095 NDV vect64_to_ndv(mp_limb_t *vect,int spcol,int col,in |
|
| Line 10152 NDV vect64_to_ndv(mp_limb_t *vect,int spcol,int col,in |
|
| } |
} |
| } |
} |
| |
|
| |
NDV vect64_to_ndv_s(mp_limb_t *vect,int col,UINT *s0vect) |
| |
{ |
| |
int j,k,len; |
| |
UINT *p; |
| |
UINT c; |
| |
NDV r; |
| |
NMV mr0,mr; |
| |
|
| |
for ( j = 0, len = 0; j < col; j++ ) if ( vect[j] ) len++; |
| |
if ( !len ) return 0; |
| |
else { |
| |
mr0 = (NMV)MALLOC_ATOMIC_IGNORE_OFF_PAGE(nmv_adv*len); |
| |
mr = mr0; |
| |
p = s0vect; |
| |
for ( j = k = 0; j < col; j++, p += nd_wpd ) |
| |
if ( (c = (UINT)vect[k++]) != 0 ) { |
| |
ndl_copy(p,DL(mr)); CM(mr) = c; NMV_ADV(mr); |
| |
} |
| |
MKNDV(nd_nvar,mr0,len,r); |
| |
return r; |
| |
} |
| |
} |
| |
|
| int nd_to_vect64(int mod,UINT *s0,int n,ND d,mp_limb_t *r) |
int nd_to_vect64(int mod,UINT *s0,int n,ND d,mp_limb_t *r) |
| { |
{ |
| NM m; |
NM m; |
| Line 10124 int nd_to_vect64(int mod,UINT *s0,int n,ND d,mp_limb_t |
|
| Line 10204 int nd_to_vect64(int mod,UINT *s0,int n,ND d,mp_limb_t |
|
| |
|
| #define MOD128(a,c,m) ((a)=(((c)!=0||((a)>=(m)))?(((((U128)(c))<<64)+(a))%(m)):(a))) |
#define MOD128(a,c,m) ((a)=(((c)!=0||((a)>=(m)))?(((((U128)(c))<<64)+(a))%(m)):(a))) |
| |
|
| int ndv_reduce_vect64(int m,mp_limb_t *svect,mp_limb_t *cvect,int col,IndArray *imat,NM_ind_pair *rp0,int nred) |
int ndv_reduce_vect64(int m,mp_limb_t *svect,mp_limb_t *cvect,int col,IndArray *imat,NM_ind_pair *rp0,int nred,SIG sig) |
| { |
{ |
| int i,j,k,len,pos,prev; |
int i,j,k,len,pos,prev; |
| mp_limb_t a,c,c1,c2; |
mp_limb_t a,c,c1,c2; |
| Line 10145 int ndv_reduce_vect64(int m,mp_limb_t *svect,mp_limb_t |
|
| Line 10225 int ndv_reduce_vect64(int m,mp_limb_t *svect,mp_limb_t |
|
| a = svect[k]; c = cvect[k]; |
a = svect[k]; c = cvect[k]; |
| MOD128(a,c,m); |
MOD128(a,c,m); |
| svect[k] = a; cvect[k] = 0; |
svect[k] = a; cvect[k] = 0; |
| if ( (c = svect[k]) != 0 ) { |
if ( (c = svect[k]) != 0 && (sig == 0 || comp_sig(sig,rp0[i]->sig) > 0 ) ) { |
| Nf4_red++; |
Nf4_red++; |
| maxrs = MAX(maxrs,rp0[i]->sugar); |
maxrs = MAX(maxrs,rp0[i]->sugar); |
| c = m-c; redv = nd_ps[rp0[i]->index]; |
c = m-c; redv = nd_ps[rp0[i]->index]; |
| Line 10219 NODE nd_f4_red_mod64_main(int m,ND_pairs sp0,int nsp,U |
|
| Line 10299 NODE nd_f4_red_mod64_main(int m,ND_pairs sp0,int nsp,U |
|
| nd_sp(m,0,sp,&spol); |
nd_sp(m,0,sp,&spol); |
| if ( !spol ) continue; |
if ( !spol ) continue; |
| nd_to_vect64(m,s0vect,col,spol,svect); |
nd_to_vect64(m,s0vect,col,spol,svect); |
| maxrs = ndv_reduce_vect64(m,svect,cvect,col,imat,rvect,nred); |
maxrs = ndv_reduce_vect64(m,svect,cvect,col,imat,rvect,nred,0); |
| for ( i = 0; i < col; i++ ) if ( svect[i] ) break; |
for ( i = 0; i < col; i++ ) if ( svect[i] ) break; |
| if ( i < col ) { |
if ( i < col ) { |
| spmat[sprow] = v = (mp_limb_t *)MALLOC_ATOMIC(spcol*sizeof(mp_limb_t)); |
spmat[sprow] = v = (mp_limb_t *)MALLOC_ATOMIC(spcol*sizeof(mp_limb_t)); |
| Line 10351 int nd_gauss_elim_mod64(mp_limb_t **mat,int *sugar,ND_ |
|
| Line 10431 int nd_gauss_elim_mod64(mp_limb_t **mat,int *sugar,ND_ |
|
| } |
} |
| #endif |
#endif |
| |
|
| |
int nd_gauss_elim_mod64_s(mp_limb_t **mat,int *sugar,ND_pairs *spactive,int row,int col,int md,int *colstat,SIG *sig) |
| |
{ |
| |
int i,j,k,l,rank,s,imin; |
| |
mp_limb_t inv; |
| |
mp_limb_t a; |
| |
UINT c; |
| |
mp_limb_t *t,*pivot,*pk; |
| |
UINT *ck; |
| |
UINT **cmat; |
| |
UINT *ct; |
| |
ND_pairs pair; |
| |
SIG sg; |
| |
|
| |
cmat = (UINT **)MALLOC(row*sizeof(UINT *)); |
| |
for ( i = 0; i < row; i++ ) { |
| |
cmat[i] = MALLOC_ATOMIC(col*sizeof(UINT)); |
| |
bzero(cmat[i],col*sizeof(UINT)); |
| |
} |
| |
|
| |
for ( rank = 0, j = 0; j < col; j++ ) { |
| |
for ( i = rank; i < row; i++ ) { |
| |
a = mat[i][j]; c = cmat[i][j]; |
| |
MOD128(a,c,md); |
| |
mat[i][j] = a; cmat[i][j] = 0; |
| |
} |
| |
imin = -1; |
| |
for ( i = rank; i < row; i++ ) |
| |
if ( mat[i][j] && (imin < 0 || comp_sig(sig[imin],sig[i]) > 0) ) imin = i; |
| |
if ( imin == -1 ) { |
| |
colstat[j] = 0; |
| |
continue; |
| |
} else |
| |
colstat[j] = 1; |
| |
if ( imin != rank ) { |
| |
t = mat[imin]; mat[imin] = mat[rank]; mat[rank] = t; |
| |
ct = cmat[imin]; cmat[imin] = cmat[rank]; cmat[rank] = ct; |
| |
s = sugar[imin]; sugar[imin] = sugar[rank]; sugar[rank] = s; |
| |
sg = sig[imin]; sig[imin] = sig[rank]; sig[rank] = sg; |
| |
if ( spactive ) { |
| |
pair = spactive[imin]; spactive[imin] = spactive[rank]; |
| |
spactive[rank] = pair; |
| |
} |
| |
} |
| |
/* column j is normalized */ |
| |
s = sugar[rank]; |
| |
inv = invm((UINT)mat[rank][j],md); |
| |
/* normalize pivot row */ |
| |
for ( k = j, pk = mat[rank]+j, ck = cmat[rank]+j; k < col; k++, pk++, ck++ ) { |
| |
a = *pk; c = *ck; MOD128(a,c,md); *pk = (a*inv)%md; *ck = 0; |
| |
} |
| |
for ( i = rank+1; i < row; i++ ) { |
| |
if ( (a = mat[i][j]) != 0 ) { |
| |
sugar[i] = MAX(sugar[i],s); |
| |
red_by_vect64(md,mat[i]+j,cmat[i]+j,mat[rank]+j,(int)(md-a),col-j); |
| |
Nf4_red++; |
| |
} |
| |
} |
| |
rank++; |
| |
} |
| |
#if 1 |
| |
for ( j = col-1, l = rank-1; j >= 0; j-- ) |
| |
if ( colstat[j] ) { |
| |
for ( k = j, pk = mat[l]+j, ck = cmat[l]+j; k < col; k++, pk++, ck++ ) { |
| |
a = *pk; c = *ck; MOD128(a,c,md); *pk = a; *ck = 0; |
| |
} |
| |
s = sugar[l]; |
| |
for ( i = 0; i < l; i++ ) { |
| |
a = mat[i][j]; c = cmat[i][j]; MOD128(a,c,md); mat[i][j] = a; cmat[i][j] = 0; |
| |
if ( a && comp_sig(sig[i],sig[l]) > 0 ) { |
| |
sugar[i] = MAX(sugar[i],s); |
| |
red_by_vect64(md,mat[i]+j,cmat[i]+j,mat[l]+j,(int)(md-a),col-j); |
| |
Nf4_red++; |
| |
} |
| |
} |
| |
l--; |
| |
} |
| |
#endif |
| |
for ( i = 0; i < row; i++ ) GCFREE(cmat[i]); |
| |
GCFREE(cmat); |
| |
return rank; |
| |
} |
| |
|
| |
NODE nd_f4_red_mod64_main_s(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col, |
| |
NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,NODE *syzlistp) |
| |
{ |
| |
int spcol,sprow,a; |
| |
int i,j,k,l,rank; |
| |
NODE r0,r; |
| |
ND_pairs sp; |
| |
ND spol; |
| |
mp_limb_t **spmat; |
| |
mp_limb_t *svect,*cvect; |
| |
mp_limb_t *v; |
| |
int *colstat; |
| |
struct oEGT eg0,eg1,eg2,eg_f4,eg_f4_1,eg_f4_2; |
| |
int maxrs; |
| |
int *spsugar; |
| |
ND_pairs *spactive; |
| |
SIG *spsig; |
| |
|
| |
get_eg(&eg0); |
| |
/* elimination (1st step) */ |
| |
spmat = (mp_limb_t **)MALLOC(nsp*sizeof(mp_limb_t *)); |
| |
cvect = (mp_limb_t *)MALLOC(col*sizeof(mp_limb_t)); |
| |
spsugar = (int *)MALLOC(nsp*sizeof(int)); |
| |
spsig = (SIG *)MALLOC(nsp*sizeof(SIG)); |
| |
for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) { |
| |
nd_sp(m,0,sp,&spol); |
| |
if ( !spol ) { |
| |
*syzlistp = insert_sig(*syzlistp,sp->sig); |
| |
continue; |
| |
} |
| |
svect = (mp_limb_t *)MALLOC(col*sizeof(mp_limb_t)); |
| |
nd_to_vect64(m,s0vect,col,spol,svect); |
| |
maxrs = ndv_reduce_vect64(m,svect,cvect,col,imat,rvect,nred,spol->sig); |
| |
for ( i = 0; i < col; i++ ) if ( svect[i] ) break; |
| |
if ( i < col ) { |
| |
spmat[sprow] = svect; |
| |
spsugar[sprow] = MAX(maxrs,SG(spol)); |
| |
spsig[sprow] = sp->sig; |
| |
sprow++; |
| |
} else { |
| |
*syzlistp = insert_sig(*syzlistp,sp->sig); |
| |
} |
| |
nd_free(spol); |
| |
} |
| |
get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1); add_eg(&f4_elim1,&eg0,&eg1); |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"elim1=%.3fsec,",eg_f4_1.exectime); |
| |
fflush(asir_out); |
| |
} |
| |
/* free index arrays */ |
| |
for ( i = 0; i < nred; i++ ) GCFREE(imat[i]->index.c); |
| |
|
| |
/* elimination (2nd step) */ |
| |
colstat = (int *)MALLOC(col*sizeof(int)); |
| |
rank = nd_gauss_elim_mod64_s(spmat,spsugar,0,sprow,col,m,colstat,spsig); |
| |
r0 = 0; |
| |
for ( i = 0; i < rank; i++ ) { |
| |
NEXTNODE(r0,r); |
| |
BDY(r) = vect64_to_ndv_s(spmat[i],col,s0vect); |
| |
SG((NDV)BDY(r)) = spsugar[i]; |
| |
((NDV)BDY(r))->sig = spsig[i]; |
| |
GCFREE(spmat[i]); |
| |
} |
| |
if ( r0 ) NEXT(r) = 0; |
| |
|
| |
for ( ; i < sprow; i++ ) { |
| |
GCFREE(spmat[i]); |
| |
*syzlistp = insert_sig(*syzlistp,spsig[i]); |
| |
} |
| |
get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2); add_eg(&f4_elim2,&eg1,&eg2); |
| |
init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2); |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"elim2=%.3fsec,",eg_f4_2.exectime); |
| |
fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ", |
| |
nsp,nred,sprow,col,rank); |
| |
fprintf(asir_out,"%.3fsec,",eg_f4.exectime); |
| |
} |
| |
return r0; |
| |
} |
| |
|
| |
NODE nd_f4_red_s(int m,ND_pairs sp0,int trace,UINT *s0vect,int col,NODE rp0,NODE *syzlistp) |
| |
{ |
| |
IndArray *imat; |
| |
int nsp,nred,i,start; |
| |
int *rhead; |
| |
NODE r0,rp; |
| |
ND_pairs sp; |
| |
NM_ind_pair *rvect; |
| |
UINT *s; |
| |
int *s0hash; |
| |
struct oEGT eg0,eg1,eg_conv; |
| |
|
| |
for ( sp = sp0, nsp = 0; sp; sp = NEXT(sp), nsp++ ); |
| |
nred = length(rp0); |
| |
imat = (IndArray *)MALLOC(nred*sizeof(IndArray)); |
| |
rhead = (int *)MALLOC(col*sizeof(int)); |
| |
for ( i = 0; i < col; i++ ) rhead[i] = 0; |
| |
|
| |
/* construction of index arrays */ |
| |
get_eg(&eg0); |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"%dx%d,",nsp+nred,col); |
| |
fflush(asir_out); |
| |
} |
| |
rvect = (NM_ind_pair *)MALLOC(nred*sizeof(NM_ind_pair)); |
| |
for ( start = 0, rp = rp0, i = 0; rp; i++, rp = NEXT(rp) ) { |
| |
rvect[i] = (NM_ind_pair)BDY(rp); |
| |
imat[i] = nm_ind_pair_to_vect_compress(trace,s0vect,col,rvect[i],start); |
| |
rhead[imat[i]->head] = 1; |
| |
start = imat[i]->head; |
| |
} |
| |
get_eg(&eg1); init_eg(&eg_conv); add_eg(&eg_conv,&eg0,&eg1); add_eg(&f4_conv,&eg0,&eg1); |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"conv=%.3fsec,",eg_conv.exectime); |
| |
fflush(asir_out); |
| |
} |
| |
if ( m > 0 ) |
| |
r0 = nd_f4_red_mod64_main_s(m,sp0,nsp,s0vect,col,rvect,rhead,imat,nred,syzlistp); |
| |
else |
| |
// r0 = nd_f4_red_q_main_s(sp0,nsp,trace,s0vect,col,rvect,rhead,imat,nred); |
| |
error("nd_f4_red_q_main_s : not implemented yet"); |
| |
return r0; |
| |
} |
| |
|
| |
INLINE int ndl_find_reducer_minsig(UINT *dg) |
| |
{ |
| |
RHist r; |
| |
int i,singular,ret,d,k,imin; |
| |
SIG t; |
| |
static int wpd,nvar; |
| |
static SIG quo,quomin; |
| |
static UINT *tmp; |
| |
|
| |
if ( !quo || nvar != nd_nvar ) { NEWSIG(quo); NEWSIG(quomin); } |
| |
if ( wpd != nd_wpd ) { |
| |
wpd = nd_wpd; |
| |
tmp = (UINT *)MALLOC(wpd*sizeof(UINT)); |
| |
} |
| |
#if 0 |
| |
d = ndl_hash_value(dg); |
| |
for ( r = nd_red[d], k = 0; r; r = NEXT(r), k++ ) { |
| |
if ( ndl_equal(dg,DL(r)) ) { |
| |
return r->index; |
| |
} |
| |
} |
| |
#endif |
| |
imin = -1; |
| |
for ( i = 0; i < nd_psn; i++ ) { |
| |
r = nd_psh[i]; |
| |
if ( ndl_reducible(dg,DL(r)) ) { |
| |
ndl_sub(dg,DL(r),tmp); |
| |
_ndltodl(tmp,DL(quo)); |
| |
_addtodl(nd_nvar,DL(nd_psh[i]->sig),DL(quo)); |
| |
quo->pos = nd_psh[i]->sig->pos; |
| |
if ( imin < 0 || comp_sig(quomin,quo) > 0 ) { |
| |
t = quo; quo = quomin; quomin = t; |
| |
imin = i; |
| |
} |
| |
} |
| |
} |
| |
if ( imin == -1 ) return nd_psn; |
| |
else { |
| |
#if 0 |
| |
nd_append_red(dg,i); |
| |
#endif |
| |
return imin; |
| |
} |
| |
} |
| |
|
| |
int nd_symbolic_preproc_s(PGeoBucket bucket,int trace,UINT **s0vect,NODE *r) |
| |
{ |
| |
NODE rp0,rp; |
| |
NM mul,head,s0,s; |
| |
int index,col,i,sugar; |
| |
RHist h; |
| |
UINT *s0v,*p; |
| |
NM_ind_pair pair; |
| |
ND red; |
| |
NDV *ps; |
| |
SIG sig; |
| |
|
| |
s0 = 0; rp0 = 0; col = 0; |
| |
if ( nd_demand ) |
| |
ps = trace?nd_ps_trace_sym:nd_ps_sym; |
| |
else |
| |
ps = trace?nd_ps_trace:nd_ps; |
| |
while ( 1 ) { |
| |
head = remove_head_pbucket_symbolic(bucket); |
| |
if ( !head ) break; |
| |
if ( !s0 ) s0 = head; |
| |
else NEXT(s) = head; |
| |
s = head; |
| |
index = ndl_find_reducer_minsig(DL(head)); |
| |
if ( index >= 0 && index < nd_psn ) { |
| |
h = nd_psh[index]; |
| |
NEWNM(mul); |
| |
ndl_sub(DL(head),DL(h),DL(mul)); |
| |
if ( ndl_check_bound2(index,DL(mul)) ) |
| |
return 0; |
| |
sugar = TD(DL(mul))+SG(ps[index]); |
| |
NEWSIG(sig); |
| |
_ndltodl(DL(mul),DL(sig)); |
| |
_addtodl(nd_nvar,DL(nd_psh[index]->sig),DL(sig)); |
| |
sig->pos = nd_psh[index]->sig->pos; |
| |
MKNM_ind_pair(pair,mul,index,sugar,sig); |
| |
red = ndv_mul_nm_symbolic(mul,ps[index]); |
| |
add_pbucket_symbolic(bucket,nd_remove_head(red)); |
| |
NEXTNODE(rp0,rp); BDY(rp) = (pointer)pair; |
| |
} |
| |
col++; |
| |
} |
| |
if ( rp0 ) NEXT(rp) = 0; |
| |
NEXT(s) = 0; |
| |
s0v = (UINT *)MALLOC_ATOMIC(col*nd_wpd*sizeof(UINT)); |
| |
for ( i = 0, p = s0v, s = s0; i < col; |
| |
i++, p += nd_wpd, s = NEXT(s) ) ndl_copy(DL(s),p); |
| |
*s0vect = s0v; |
| |
*r = rp0; |
| |
|
| |
return col; |
| |
} |
| |
|
| |
NODE nd_sba_f4(int m,int **indp) |
| |
{ |
| |
int i,nh,stat,index,f4red; |
| |
NODE r,g,tn0,tn,node; |
| |
ND_pairs d,l,t,ll0,ll,lh; |
| |
LIST l0,l1; |
| |
ND spol,red; |
| |
NDV nf,redv; |
| |
NM s0,s; |
| |
NODE rp0,srp0,nflist; |
| |
int nsp,nred,col,rank,len,k,j,a,i1s,i2s; |
| |
UINT c; |
| |
UINT **spmat; |
| |
UINT *s0vect,*svect,*p,*v; |
| |
int *colstat; |
| |
IndArray *imat; |
| |
int *rhead; |
| |
int spcol,sprow; |
| |
int sugar,sugarh; |
| |
PGeoBucket bucket; |
| |
struct oEGT eg0,eg1,eg_f4; |
| |
Z i1,i2,sugarq; |
| |
NODE syzlist; |
| |
|
| |
Nf4_red=0; |
| |
g = 0; d = 0; |
| |
syzlist = 0; |
| |
for ( i = 0; i < nd_psn; i++ ) { |
| |
d = update_pairs_s(d,g,i,syzlist); |
| |
g = append_one(g,i); |
| |
} |
| |
f4red = 1; |
| |
while ( d ) { |
| |
l = nd_minsugarp_s(d,&d); |
| |
if ( !l ) continue; |
| |
sugar = nd_sugarweight?l->sugar2:SG(l); |
| |
if ( MaxDeg > 0 && sugar > MaxDeg ) break; |
| |
bucket = create_pbucket(); |
| |
stat = nd_sp_f4(m,0,l,bucket); |
| |
if ( !stat ) { |
| |
for ( t = l; NEXT(t); t = NEXT(t) ); |
| |
NEXT(t) = d; d = l; |
| |
d = nd_reconstruct(0,d); |
| |
continue; |
| |
} |
| |
if ( bucket->m < 0 ) continue; |
| |
col = nd_symbolic_preproc_s(bucket,0,&s0vect,&rp0); |
| |
if ( !col ) { |
| |
for ( t = l; NEXT(t); t = NEXT(t) ); |
| |
NEXT(t) = d; d = l; |
| |
d = nd_reconstruct(0,d); |
| |
continue; |
| |
} |
| |
if ( DP_Print ) fprintf(asir_out,"sugar=%d,",sugar); |
| |
l = remove_large_lcm(l); |
| |
nflist = nd_f4_red_s(m,l,0,s0vect,col,rp0,&syzlist); |
| |
/* adding new bases */ |
| |
for ( r = nflist; r; r = NEXT(r) ) { |
| |
ND tmp,tmpred; |
| |
SIG sig; |
| |
|
| |
nf = (NDV)BDY(r); |
| |
sig = nf->sig; |
| |
tmp = ndvtond(m,nf); |
| |
stat = nd_nf_s(m,0,tmp,nd_ps,!Top,&tmpred); |
| |
if ( stat < 0 ) { |
| |
// top reducible |
| |
if ( DP_Print ) { fprintf(asir_out,"S"); fflush(asir_out); } |
| |
} else if ( tmpred ) { |
| |
nf = ndtondv(m,tmpred); |
| |
ndv_removecont(m,nf); |
| |
nh = ndv_newps(m,nf,0); |
| |
d = update_pairs_s(d,g,nh,syzlist); |
| |
g = append_one(g,nh); |
| |
} else { |
| |
syzlist = insert_sig(syzlist,sig); |
| |
} |
| |
} |
| |
for ( r = syzlist; r; r = NEXT(r) ) |
| |
d = remove_spair_s(d,(SIG)BDY(r)); |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"f4red=%d,gblen=%d\n",f4red,length(g)); fflush(asir_out); |
| |
} |
| |
f4red++; |
| |
if ( nd_f4red && f4red > nd_f4red ) break; |
| |
if ( nd_rank0 && !nflist ) break; |
| |
} |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"number of red=%d,",Nf4_red); |
| |
} |
| |
conv_ilist(nd_demand,0,g,indp); |
| |
return g; |
| |
} |