version 1.39, 2020/10/29 01:50:35 |
version 1.40, 2020/11/02 08:30:55 |
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/* $OpenXM: OpenXM_contrib2/asir2018/engine/nd.c,v 1.38 2020/10/26 02:41:05 noro Exp $ */ |
/* $OpenXM: OpenXM_contrib2/asir2018/engine/nd.c,v 1.39 2020/10/29 01:50:35 noro Exp $ */ |
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#include "nd.h" |
#include "nd.h" |
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Line 116 NODE nd_f4_red_mod64_main(int m,ND_pairs sp0,int nsp,U |
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Line 116 NODE nd_f4_red_mod64_main(int m,ND_pairs sp0,int nsp,U |
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NODE nd_f4_red_lf_main(int m,ND_pairs sp0,int nsp,int trace,UINT *s0vect,int col, |
NODE nd_f4_red_lf_main(int m,ND_pairs sp0,int nsp,int trace,UINT *s0vect,int col, |
NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred); |
NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred); |
int nd_gauss_elim_lf(mpz_t **mat0,int *sugar,int row,int col,int *colstat); |
int nd_gauss_elim_lf(mpz_t **mat0,int *sugar,int row,int col,int *colstat); |
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int nd_gauss_elim_mod_s(UINT **mat,int *sugar,ND_pairs *spactive,int row,int col,int md,int *colstat,SIG *sig); |
NODE nd_f4_lf_trace_main(int m,int **indp); |
NODE nd_f4_lf_trace_main(int m,int **indp); |
void nd_f4_lf_trace(LIST f,LIST v,int trace,int homo,struct order_spec *ord,LIST *rp); |
void nd_f4_lf_trace(LIST f,LIST v,int trace,int homo,struct order_spec *ord,LIST *rp); |
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Line 7458 int ndv_reduce_vect_q(Z *svect0,int trace,int col,IndA |
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Line 7459 int ndv_reduce_vect_q(Z *svect0,int trace,int col,IndA |
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} |
} |
#endif |
#endif |
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int ndv_reduce_vect(int m,UINT *svect,int col,IndArray *imat,NM_ind_pair *rp0,int nred) |
int ndv_reduce_vect(int m,UINT *svect,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; |
UINT c,c1,c2,c3,up,lo,dmy; |
UINT c,c1,c2,c3,up,lo,dmy; |
Line 7475 int ndv_reduce_vect(int m,UINT *svect,int col,IndArray |
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Line 7476 int ndv_reduce_vect(int m,UINT *svect,int col,IndArray |
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for ( i = 0; i < nred; i++ ) { |
for ( i = 0; i < nred; i++ ) { |
ivect = imat[i]; |
ivect = imat[i]; |
k = ivect->head; svect[k] %= m; |
k = ivect->head; svect[k] %= m; |
if ( (c = svect[k]) != 0 ) { |
if ( (c = svect[k]) != 0 && (sig == 0 || comp_sig(sig,rp0[i]->sig) > 0 ) ) { |
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]; |
len = LEN(redv); mr = BDY(redv); |
len = LEN(redv); mr = BDY(redv); |
Line 7485 int ndv_reduce_vect(int m,UINT *svect,int col,IndArray |
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Line 7486 int ndv_reduce_vect(int m,UINT *svect,int col,IndArray |
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ivc = ivect->index.c; |
ivc = ivect->index.c; |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
pos = prev+ivc[j]; c1 = CM(mr); prev = pos; |
pos = prev+ivc[j]; c1 = CM(mr); prev = pos; |
if ( c1 ) { |
if ( c1 ) { |
c2 = svect[pos]; |
c2 = svect[pos]; |
DMA(c1,c,c2,up,lo); |
DMA(c1,c,c2,up,lo); |
if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3; |
if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3; |
} else svect[pos] = lo; |
} else svect[pos] = lo; |
} |
} |
} |
} |
break; |
break; |
case 2: |
case 2: |
Line 7498 int ndv_reduce_vect(int m,UINT *svect,int col,IndArray |
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Line 7499 int ndv_reduce_vect(int m,UINT *svect,int col,IndArray |
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for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
pos = prev+ivs[j]; c1 = CM(mr); |
pos = prev+ivs[j]; c1 = CM(mr); |
prev = pos; |
prev = pos; |
if ( c1 ) { |
if ( c1 ) { |
c2 = svect[pos]; |
c2 = svect[pos]; |
DMA(c1,c,c2,up,lo); |
DMA(c1,c,c2,up,lo); |
if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3; |
if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3; |
} else svect[pos] = lo; |
} else svect[pos] = lo; |
} |
} |
} |
} |
break; |
break; |
case 4: |
case 4: |
Line 7511 int ndv_reduce_vect(int m,UINT *svect,int col,IndArray |
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Line 7512 int ndv_reduce_vect(int m,UINT *svect,int col,IndArray |
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for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
pos = prev+ivi[j]; c1 = CM(mr); |
pos = prev+ivi[j]; c1 = CM(mr); |
prev = pos; |
prev = pos; |
if ( c1 ) { |
if ( c1 ) { |
c2 = svect[pos]; |
c2 = svect[pos]; |
DMA(c1,c,c2,up,lo); |
DMA(c1,c,c2,up,lo); |
if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3; |
if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3; |
} else svect[pos] = lo; |
} else svect[pos] = lo; |
} |
} |
} |
} |
break; |
break; |
} |
} |
Line 7784 NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhea |
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Line 7785 NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhea |
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} |
} |
} |
} |
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NDV vect_to_ndv_s(UINT *vect,int col,UINT *s0vect) |
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{ |
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int j,k,len; |
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UINT *p; |
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UINT c; |
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NDV r; |
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NMV mr0,mr; |
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for ( j = 0, len = 0; j < col; j++ ) if ( vect[j] ) len++; |
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if ( !len ) return 0; |
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else { |
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mr0 = (NMV)MALLOC_ATOMIC_IGNORE_OFF_PAGE(nmv_adv*len); |
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mr = mr0; |
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p = s0vect; |
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for ( j = k = 0; j < col; j++, p += nd_wpd ) |
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if ( (c = vect[k++]) != 0 ) { |
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ndl_copy(p,DL(mr)); CM(mr) = c; NMV_ADV(mr); |
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} |
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MKNDV(nd_nvar,mr0,len,r); |
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return r; |
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} |
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} |
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NDV vect_to_ndv_2(unsigned long *vect,int col,UINT *s0vect) |
NDV vect_to_ndv_2(unsigned long *vect,int col,UINT *s0vect) |
{ |
{ |
int j,k,len; |
int j,k,len; |
Line 8455 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s |
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Line 8479 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s |
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if ( m == -1 ) |
if ( m == -1 ) |
maxrs = ndv_reduce_vect_sf(m,svect,col,imat,rvect,nred); |
maxrs = ndv_reduce_vect_sf(m,svect,col,imat,rvect,nred); |
else |
else |
maxrs = ndv_reduce_vect(m,svect,col,imat,rvect,nred); |
maxrs = ndv_reduce_vect(m,svect,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 = (UINT *)MALLOC_ATOMIC(spcol*sizeof(UINT)); |
spmat[sprow] = v = (UINT *)MALLOC_ATOMIC(spcol*sizeof(UINT)); |
Line 8511 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s |
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Line 8535 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s |
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return r0; |
return r0; |
} |
} |
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NODE nd_f4_red_main_s(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col, |
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NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,NODE *syzlistp) |
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{ |
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int spcol,sprow,a; |
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int i,j,k,l,rank; |
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NODE r0,r; |
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ND_pairs sp; |
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ND spol; |
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UINT **spmat; |
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UINT *svect,*cvect; |
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UINT *v; |
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int *colstat; |
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struct oEGT eg0,eg1,eg2,eg_f4,eg_f4_1,eg_f4_2; |
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int maxrs; |
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int *spsugar; |
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ND_pairs *spactive; |
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SIG *spsig; |
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get_eg(&eg0); |
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/* elimination (1st step) */ |
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spmat = (UINT **)MALLOC(nsp*sizeof(UINT *)); |
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spsugar = (int *)MALLOC(nsp*sizeof(int)); |
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spsig = (SIG *)MALLOC(nsp*sizeof(SIG)); |
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for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) { |
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nd_sp(m,0,sp,&spol); |
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if ( !spol ) { |
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syzlistp[sp->sig->pos] = insert_sig(syzlistp[sp->sig->pos],sp->sig); |
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continue; |
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} |
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svect = (UINT *)MALLOC(col*sizeof(UINT)); |
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nd_to_vect(m,s0vect,col,spol,svect); |
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maxrs = ndv_reduce_vect(m,svect,col,imat,rvect,nred,spol->sig); |
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for ( i = 0; i < col; i++ ) if ( svect[i] ) break; |
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if ( i < col ) { |
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spmat[sprow] = svect; |
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spsugar[sprow] = MAX(maxrs,SG(spol)); |
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spsig[sprow] = sp->sig; |
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sprow++; |
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} else { |
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syzlistp[sp->sig->pos] = insert_sig(syzlistp[sp->sig->pos],sp->sig); |
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} |
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nd_free(spol); |
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} |
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get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1); add_eg(&f4_elim1,&eg0,&eg1); |
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if ( DP_Print ) { |
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fprintf(asir_out,"elim1=%.3fsec,",eg_f4_1.exectime); |
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fflush(asir_out); |
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} |
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/* free index arrays */ |
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for ( i = 0; i < nred; i++ ) GCFREE(imat[i]->index.c); |
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/* elimination (2nd step) */ |
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colstat = (int *)MALLOC(col*sizeof(int)); |
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rank = nd_gauss_elim_mod_s(spmat,spsugar,0,sprow,col,m,colstat,spsig); |
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r0 = 0; |
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for ( i = 0; i < sprow; i++ ) { |
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if ( spsugar[i] >= 0 ) { |
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NEXTNODE(r0,r); |
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BDY(r) = vect_to_ndv_s(spmat[i],col,s0vect); |
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SG((NDV)BDY(r)) = spsugar[i]; |
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((NDV)BDY(r))->sig = spsig[i]; |
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} else |
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syzlistp[spsig[i]->pos] = insert_sig(syzlistp[spsig[i]->pos],spsig[i]); |
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GCFREE(spmat[i]); |
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} |
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if ( r0 ) NEXT(r) = 0; |
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get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2); add_eg(&f4_elim2,&eg1,&eg2); |
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init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2); |
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if ( DP_Print ) { |
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fprintf(asir_out,"elim2=%.3fsec,",eg_f4_2.exectime); |
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fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ", |
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nsp,nred,sprow,col,rank); |
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fprintf(asir_out,"%.3fsec,",eg_f4.exectime); |
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} |
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return r0; |
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} |
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/* for small finite fields */ |
/* for small finite fields */ |
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NODE nd_f4_red_sf_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col, |
NODE nd_f4_red_sf_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col, |
Line 8923 int nd_gauss_elim_mod(UINT **mat0,int *sugar,ND_pairs |
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Line 9024 int nd_gauss_elim_mod(UINT **mat0,int *sugar,ND_pairs |
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return rank; |
return rank; |
} |
} |
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int nd_gauss_elim_mod_s(UINT **mat,int *sugar,ND_pairs *spactive,int row,int col,int md,int *colstat,SIG *sig) |
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{ |
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int i,j,k,l,rank,s,imin; |
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UINT inv; |
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UINT a; |
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UINT *t,*pivot,*pk; |
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UINT *ck; |
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UINT *ct; |
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ND_pairs pair; |
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SIG sg; |
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int *used; |
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used = (int *)MALLOC(row*sizeof(int)); |
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for ( j = 0; j < col; j++ ) { |
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for ( i = 0; i < row; i++ ) |
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a = mat[i][j] %= md; |
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for ( i = 0; i < row; i++ ) |
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if ( !used[i] && mat[i][j] ) break; |
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if ( i == row ) { |
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colstat[j] = 0; |
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continue; |
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} else { |
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colstat[j] = 1; |
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used[i] = 1; |
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} |
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/* column j is normalized */ |
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s = sugar[i]; |
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inv = invm(mat[i][j],md); |
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/* normalize pivot row */ |
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for ( k = j, pk = mat[i]+j; k < col; k++, pk++, ck++ ) { |
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DMAR(*pk,inv,0,md,*pk); |
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} |
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for ( k = i+1; k < row; k++ ) { |
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if ( (a = mat[k][j]) != 0 ) { |
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sugar[k] = MAX(sugar[k],s); |
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red_by_vect(md,mat[k]+j,mat[i]+j,(int)(md-a),col-j); |
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Nf4_red++; |
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} |
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} |
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} |
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rank = 0; |
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for ( i = 0; i < row; i++ ) { |
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for ( j = 0; j < col; j++ ) |
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if ( mat[i][j] ) break; |
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if ( j == col ) sugar[i] = -1; |
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else rank++; |
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} |
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return rank; |
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} |
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int nd_gauss_elim_sf(UINT **mat0,int *sugar,int row,int col,int md,int *colstat) |
int nd_gauss_elim_sf(UINT **mat0,int *sugar,int row,int col,int md,int *colstat) |
{ |
{ |
int i,j,k,l,inv,a,rank,s; |
int i,j,k,l,inv,a,rank,s; |
Line 10660 int nd_gauss_elim_mod64(mp_limb_t **mat,int *sugar,ND_ |
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Line 10811 int nd_gauss_elim_mod64(mp_limb_t **mat,int *sugar,ND_ |
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GCFREE(cmat); |
GCFREE(cmat); |
return rank; |
return rank; |
} |
} |
#endif |
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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 nd_gauss_elim_mod64_s(mp_limb_t **mat,int *sugar,ND_pairs *spactive,int row,int col,int md,int *colstat,SIG *sig) |
{ |
{ |
Line 10802 NODE nd_f4_red_mod64_main_s(int m,ND_pairs sp0,int nsp |
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Line 10952 NODE nd_f4_red_mod64_main_s(int m,ND_pairs sp0,int nsp |
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} |
} |
return r0; |
return r0; |
} |
} |
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#endif |
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NODE nd_f4_red_s(int m,ND_pairs sp0,int trace,UINT *s0vect,int col,NODE rp0,NODE *syzlistp) |
NODE nd_f4_red_s(int m,ND_pairs sp0,int trace,UINT *s0vect,int col,NODE rp0,NODE *syzlistp) |
{ |
{ |
Line 10840 NODE nd_f4_red_s(int m,ND_pairs sp0,int trace,UINT *s0 |
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Line 10991 NODE nd_f4_red_s(int m,ND_pairs sp0,int trace,UINT *s0 |
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fflush(asir_out); |
fflush(asir_out); |
} |
} |
if ( m > 0 ) |
if ( m > 0 ) |
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#if SIZEOF_LONG==8 |
r0 = nd_f4_red_mod64_main_s(m,sp0,nsp,s0vect,col,rvect,rhead,imat,nred,syzlistp); |
r0 = nd_f4_red_mod64_main_s(m,sp0,nsp,s0vect,col,rvect,rhead,imat,nred,syzlistp); |
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#else |
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r0 = nd_f4_red_main_s(m,sp0,nsp,s0vect,col,rvect,rhead,imat,nred,syzlistp); |
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#endif |
else |
else |
// r0 = nd_f4_red_q_main_s(sp0,nsp,trace,s0vect,col,rvect,rhead,imat,nred); |
// 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"); |
error("nd_f4_red_q_main_s : not implemented yet"); |