OpenXM_contrib2/asir2000/engine/nd.c - diff

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Diff for /OpenXM_contrib2/asir2000/engine/nd.c between version 1.235 and 1.241

version 1.235, 2017/02/28 07:06:28

version 1.241, 2017/09/16 08:02:35

Line 1

/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.234 2017/02/21 09:20:23 noro Exp $ */

/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.240 2017/09/15 01:52:51 noro Exp $ */

#include "nd.h"

Line 65 static int *nd_gbblock;

static NODE nd_nzlist,nd_check_splist;

static int nd_splist;

static int *nd_sugarweight;

static int nd_f4red,nd_rank0;

static int nd_f4red,nd_rank0,nd_last_nonzero;

NumberField get_numberfield();

UINT *nd_det_compute_bound(NDV **dm,int n,int j);

Line 98 void Pox_cmo_rpc(NODE,Obj *);

ND nd_add_lf(ND p1,ND p2);

void nd_mul_c_lf(ND p,GZ mul);

void ndv_mul_c_lf(NDV p,GZ mul);

NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col,

NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz);

NODE nd_f4_red_mod64_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col,

NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz);

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);

int nd_gauss_elim_lf(mpz_t **mat0,int *sugar,int row,int col,int *colstat);

Line 652 int ndl_composite_compare(UINT *d1,UINT *d2)

Line 656 int ndl_composite_compare(UINT *d1,UINT *d2)

else if ( nd_work_vector[j] < 0 ) return -1;

break;

case 2:

end = start+len;

for ( j = start; j < end; j++ )

if ( nd_work_vector[j] > 0 ) return 1;

else if ( nd_work_vector[j] < 0 ) return -1;

Line 2908 ND_pairs nd_minsugarp( ND_pairs d, ND_pairs *prest )

Line 2913 ND_pairs nd_minsugarp( ND_pairs d, ND_pairs *prest )

return dm0;

}

int nd_tdeg(NDV c)

{

int wmax = 0;

int i,len;

NMV a;

len = LEN(c);

for ( a = BDY(c), i = 0; i < len; i++, NMV_ADV(a) )

wmax = MAX(TD(DL(a)),wmax);

return wmax;

}

int ndv_newps(int m,NDV a,NDV aq,int f4)

{

int len;

Line 2940 int ndv_newps(int m,NDV a,NDV aq,int f4)

Line 2957 int ndv_newps(int m,NDV a,NDV aq,int f4)

} else

error("ndv_newps : invalud modulus");

nd_bound[nd_psn] = ndv_compute_bound(aq);

SG(r) = SG(aq); ndl_copy(HDL(aq),DL(r));

#if 1

SG(r) = SG(aq);

#else

SG(r) = nd_tdeg(aq);

#endif

ndl_copy(HDL(aq),DL(r));

} else {

if ( !m ) register_hcf(a);

nd_bound[nd_psn] = ndv_compute_bound(a);

SG(r) = SG(a); ndl_copy(HDL(a),DL(r));

#if 1

SG(r) = SG(a);

#else

SG(r) = nd_tdeg(a);

#endif

ndl_copy(HDL(a),DL(r));

if ( !m && !nd_vc ) nd_ps_gz[nd_psn] = ndvtondvgz(a);

}

if ( nd_demand ) {

Line 3119 void preprocess_algcoef(VL vv,VL av,struct order_spec

Line 3146 void preprocess_algcoef(VL vv,VL av,struct order_spec

if ( NID(hc) == N_DA ) {

invdalg(hc,&inv);

for ( m = BDY(d); m; m = NEXT(m) ) {

muldalg(inv,(DAlg)m->c,&da); m->c = (P)da;

muldalg(inv,(DAlg)m->c,&da); m->c = (Obj)da;

}

initd(ord); dtop(vv,vv,d,&poly); BDY(f) = (pointer)poly;

initd(ord); dtop(vv,vv,d,(Obj *)&poly); BDY(f) = (pointer)poly;

}

obj_dalgtoalg((Obj)f1,(Obj *)&f);

Line 3201 void nd_gr(LIST f,LIST v,int m,int homo,int retdp,int

Line 3228 void nd_gr(LIST f,LIST v,int m,int homo,int retdp,int

NODE tr,tl1,tl2,tl3,tl4,nzlist;

LIST l1,l2,l3,l4,l5;

int j;

Q jq,bpe;

Q jq,bpe,last_nonzero;

int *perm;

EPOS oepos;

int obpe,oadv,ompos,cbpe;

Line 3360 FINAL:

Line 3387 FINAL:

if ( nd_gentrace ) {

if ( f4 ) {

STOQ(16,bpe);

tr = mknode(4,*rp,(!ishomo&&homo)?ONE:0,BDY(nzlist),bpe); MKLIST(*rp,tr);

STOQ(nd_last_nonzero,last_nonzero);

tr = mknode(5,*rp,(!ishomo&&homo)?ONE:0,BDY(nzlist),bpe,last_nonzero); MKLIST(*rp,tr);

} else {

tl1 = reverse_node(tl1); tl2 = reverse_node(tl2);

tl3 = reverse_node(tl3);

Line 3813 void nd_gr_trace(LIST f,LIST v,int trace,int homo,int

Line 3842 void nd_gr_trace(LIST f,LIST v,int trace,int homo,int

}

get_eg(&eg1); init_eg(&eg_check); add_eg(&eg_check,&eg0,&eg1);

if ( DP_Print )

fprintf(asir_out,"check=%fsec\n",eg_check.exectime+eg_check.gctime);

fprintf(asir_out,"check=%.3fsec,",eg_check.exectime+eg_check.gctime);

/* dp->p */

nd_bpe = cbpe;

nd_setup_parameters(nd_nvar,0);

Line 3902 void nmtodp(int mod,NM m,DP *r)

Line 3931 void nmtodp(int mod,NM m,DP *r)

NEWMP(mr);

mr->dl = ndltodl(nd_nvar,DL(m));

mr->c = ndctop(mod,m->c);

mr->c = (Obj)ndctop(mod,m->c);

NEXT(mr) = 0; MKDP(nd_nvar,mr,dp); dp->sugar = mr->dl->td;

*r = dp;

}

Line 3927 void ndl_print(UINT *dl)

Line 3956 void ndl_print(UINT *dl)

for ( i = 0; i < n; i++ ) printf(i==n-1?"%d":"%d,",GET_EXP(dl,i));

}

printf(">>");

if ( MPOS(dl) )

if ( nd_module && MPOS(dl) )

printf("*e%d",MPOS(dl));

}

Line 4368 int nd_get_exporigin(struct order_spec *ord)

Line 4397 int nd_get_exporigin(struct order_spec *ord)

/* module d[0]:weight d[1]:w0,...,d[nd_exporigin-2]:w(n-1) */

return ord->ord.block.length+1+nd_module;

case 3: case 259:

#if 0

error("nd_get_exporigin : composite order is not supported yet.");

#else

return 1+nd_module;

#endif

}

Line 5312 P ndvtop(int mod,VL vl,VL dvl,NDV p)

Line 5345 P ndvtop(int mod,VL vl,VL dvl,NDV p)

if ( mod == -1 ) {

e = IFTOF(CM(m)); MKGFS(e,gfs); c = (P)gfs;

} else if ( mod == -2 ) {

c = gztoz(CZ(m));

c = (P)gztoz(CZ(m));

} else if ( mod > 0 ) {

STOQ(CM(m),q); c = (P)q;

} else

Line 5431 DP ndvtodp(int mod,NDV p)

Line 5464 DP ndvtodp(int mod,NDV p)

for ( t = BDY(p), i = 0; i < len; NMV_ADV(t), i++ ) {

NEXTMP(m0,m);

m->dl = ndltodl(nd_nvar,DL(t));

m->c = ndctop(mod,t->c);

m->c = (Obj)ndctop(mod,t->c);

}

NEXT(m) = 0;

MKDP(nd_nvar,m0,d);

Line 5452 DP ndtodp(int mod,ND p)

Line 5485 DP ndtodp(int mod,ND p)

for ( t = BDY(p); t; t = NEXT(t) ) {

NEXTMP(m0,m);

m->dl = ndltodl(nd_nvar,DL(t));

m->c = ndctop(mod,t->c);

m->c = (Obj)ndctop(mod,t->c);

}

NEXT(m) = 0;

MKDP(nd_nvar,m0,d);

Line 5791 int nd_to_vect(int mod,UINT *s0,int n,ND d,UINT *r)

Line 5824 int nd_to_vect(int mod,UINT *s0,int n,ND d,UINT *r)

return i;

}

#if defined(__GNUC__)

#define MOD128(a,c,m) ((a)=(((c)!=0||((a)>=(m)))?(((((U128)(c))<<64)+(a))%(m)):(a)))

int nd_to_vect64(int mod,UINT *s0,int n,ND d,U64 *r)

{

NM m;

UINT *t,*s;

int i;

for ( i = 0; i < n; i++ ) r[i] = 0;

for ( i = 0, s = s0, m = BDY(d); m; m = NEXT(m) ) {

t = DL(m);

for ( ; !ndl_equal(t,s); s += nd_wpd, i++ );

r[i] = (U64)CM(m);

}

for ( i = 0; !r[i]; i++ );

return i;

}

#endif

int nd_to_vect_q(UINT *s0,int n,ND d,Q *r)

{

NM m;

Line 6116 int ndv_reduce_vect_gz(GZ *gvect,int trace,int col,Ind

Line 6170 int ndv_reduce_vect_gz(GZ *gvect,int trace,int col,Ind

return maxrs;

}

int ndv_reduce_vect(int m,UINT *svect,int col,IndArray *imat,NM_ind_pair *rp0,int nred)

{

int i,j,k,len,pos,prev;

Line 6186 int ndv_reduce_vect(int m,UINT *svect,int col,IndArray

Line 6239 int ndv_reduce_vect(int m,UINT *svect,int col,IndArray

return maxrs;

}

#if defined(__GNUC__)

int ndv_reduce_vect64(int m,U64 *svect,U64 *cvect,int col,IndArray *imat,NM_ind_pair *rp0,int nred)

{

int i,j,k,len,pos,prev;

U64 a,c,c1,c2;

IndArray ivect;

unsigned char *ivc;

unsigned short *ivs;

unsigned int *ivi;

NDV redv;

NMV mr;

NODE rp;

int maxrs;

for ( i = 0; i < col; i++ ) cvect[i] = 0;

maxrs = 0;

for ( i = 0; i < nred; i++ ) {

ivect = imat[i];

k = ivect->head;

a = svect[k]; c = cvect[k];

MOD128(a,c,m);

svect[k] = a; cvect[k] = 0;

if ( c = svect[k] ) {

maxrs = MAX(maxrs,rp0[i]->sugar);

c = m-c; redv = nd_ps[rp0[i]->index];

len = LEN(redv); mr = BDY(redv);

svect[k] = 0; prev = k;

switch ( ivect->width ) {

case 1:

ivc = ivect->index.c;

for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {

pos = prev+ivc[j]; c1 = CM(mr); prev = pos;

if ( c1 ) {

c2 = svect[pos]+c1*c;

if ( c2 < svect[pos] ) cvect[pos]++;

svect[pos] = c2;

}

break;

case 2:

ivs = ivect->index.s;

for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {

pos = prev+ivs[j]; c1 = CM(mr); prev = pos;

if ( c1 ) {

c2 = svect[pos]+c1*c;

if ( c2 < svect[pos] ) cvect[pos]++;

svect[pos] = c2;

}

break;

case 4:

ivi = ivect->index.i;

for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {

pos = prev+ivi[j]; c1 = CM(mr); prev = pos;

if ( c1 ) {

c2 = svect[pos]+c1*c;

if ( c2 < svect[pos] ) cvect[pos]++;

svect[pos] = c2;

}

break;

}

for ( i = 0; i < col; i++ ) {

a = svect[i]; c = cvect[i]; MOD128(a,c,m); svect[i] = a;

}

return maxrs;

}

#endif

int ndv_reduce_vect_sf(int m,UINT *svect,int col,IndArray *imat,NM_ind_pair *rp0,int nred)

{

int i,j,k,len,pos,prev;

Line 6443 NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhea

Line 6568 NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhea

}

#if defined(__GNUC__)

NDV vect64_to_ndv(U64 *vect,int spcol,int col,int *rhead,UINT *s0vect)

{

int j,k,len;

UINT *p;

UINT c;

NDV r;

NMV mr0,mr;

for ( j = 0, len = 0; j < spcol; j++ ) if ( vect[j] ) len++;

if ( !len ) return 0;

else {

mr0 = (NMV)MALLOC_ATOMIC_IGNORE_OFF_PAGE(nmv_adv*len);

#if 0

ndv_alloc += nmv_adv*len;

#endif

mr = mr0;

p = s0vect;

for ( j = k = 0; j < col; j++, p += nd_wpd )

if ( !rhead[j] ) {

if ( c = (UINT)vect[k++] ) {

ndl_copy(p,DL(mr)); CM(mr) = c; NMV_ADV(mr);

}

MKNDV(nd_nvar,mr0,len,r);

return r;

}

#endif

NDV vect_to_ndv_2(unsigned long *vect,int col,UINT *s0vect)

{

int j,k,len;

Line 6681 NODE nd_f4(int m,int checkonly,int **indp)

Line 6836 NODE nd_f4(int m,int checkonly,int **indp)

}

nzlist = 0;

nzlist_t = nd_nzlist;

f4red = 0;

f4red = 1;

nd_last_nonzero = 0;

while ( d || nzlist_t ) {

get_eg(&eg0);

if ( nd_nzlist ) {

node = BDY((LIST)BDY(nzlist_t));

sugar = (int)ARG0(node);

sugar = QTOS((Q)ARG0(node));

tn = BDY((LIST)ARG1(node));

if ( !tn ) {

nzlist_t = NEXT(nzlist_t);

Line 6719 NODE nd_f4(int m,int checkonly,int **indp)

Line 6875 NODE nd_f4(int m,int checkonly,int **indp)

}

get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1);

if ( DP_Print )

fprintf(asir_out,"sugar=%d,symb=%fsec,",

fprintf(asir_out,"sugar=%d,symb=%.3fsec,",

sugar,eg_f4.exectime+eg_f4.gctime);

nflist = nd_f4_red(m,l,0,s0vect,col,rp0,nd_gentrace?&ll:0);

if ( checkonly && nflist ) return 0;

/* adding new bases */

if ( nflist ) nd_last_nonzero = f4red;

for ( r = nflist; r; r = NEXT(r) ) {

nf = (NDV)BDY(r);

ndv_removecont(m,nf);

Line 6740 NODE nd_f4(int m,int checkonly,int **indp)

Line 6897 NODE nd_f4(int m,int checkonly,int **indp)

g = update_base(g,nh);

}

if ( DP_Print ) {

fprintf(asir_out,"f4red=%d,gblen=%d,",f4red,length(g)); fflush(asir_out);

fprintf(asir_out,"f4red=%d,gblen=%d\n",f4red,length(g)); fflush(asir_out);

}

if ( nd_gentrace ) {

for ( t = ll, tn0 = 0; t; t = NEXT(t) ) {

Line 6755 NODE nd_f4(int m,int checkonly,int **indp)

Line 6912 NODE nd_f4(int m,int checkonly,int **indp)

}

if ( nd_nzlist ) nzlist_t = NEXT(nzlist_t);

f4red++;

if ( nd_f4red && f4red >= nd_f4red ) break;

if ( nd_f4red && f4red > nd_f4red ) break;

if ( nd_rank0 && !nflist ) break;

}

if ( nd_gentrace ) {

Line 6818 NODE nd_f4_trace(int m,int **indp)

Line 6975 NODE nd_f4_trace(int m,int **indp)

}

get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1);

if ( DP_Print )

fprintf(asir_out,"sugar=%d,symb=%fsec,",

fprintf(asir_out,"sugar=%d,symb=%.3fsec,",

sugar,eg_f4.exectime+eg_f4.gctime);

nflist = nd_f4_red(m,l,0,s0vect,col,rp0,&l0);

if ( !l0 ) continue;

Line 7032 init_eg(&eg_search);

Line 7189 init_eg(&eg_search);

get_eg(&eg2);

init_eg(&eg_elim2); add_eg(&eg_elim2,&eg1,&eg2);

if ( DP_Print ) {

fprintf(asir_out,"elim1=%fsec,elim2=%fsec\n",

fprintf(asir_out,"elim1=%.3fsec,elim2=%.3fsec,",

eg_elim1.exectime+eg_elim1.gctime,eg_elim2.exectime+eg_elim2.gctime);

fflush(asir_out);

}

Line 7063 init_eg(&eg_search);

Line 7220 init_eg(&eg_search);

/* construction of index arrays */

if ( DP_Print ) {

fprintf(stderr,"%dx%d,",nsp+nred,col);

fprintf(asir_out,"%dx%d,",nsp+nred,col);

}

rvect = (NM_ind_pair *)MALLOC(nred*sizeof(NM_ind_pair));

s0hash = (int *)MALLOC(col*sizeof(int));

Line 7074 init_eg(&eg_search);

Line 7231 init_eg(&eg_search);

imat[i] = nm_ind_pair_to_vect_compress(trace,s0vect,col,s0hash,rvect[i]);

rhead[imat[i]->head] = 1;

}

if ( m > 0 || m == -1 )

if ( m > 0 )

#if defined(__GNUC__)

r0 = nd_f4_red_mod64_main(m,sp0,nsp,s0vect,col,rvect,rhead,imat,nred,nz);

#else

r0 = nd_f4_red_main(m,sp0,nsp,s0vect,col,rvect,rhead,imat,nred,nz);

#endif

else if ( m == -1 )

r0 = nd_f4_red_sf_main(m,sp0,nsp,s0vect,col,rvect,rhead,imat,nred,nz);

else if ( m == -2 )

r0 = nd_f4_red_lf_main(m,sp0,nsp,trace,s0vect,col,rvect,rhead,imat,nred);

else

#if defined(VISUAL)

r0 = nd_f4_red_q_main(sp0,nsp,trace,s0vect,col,rvect,rhead,imat,nred);

#else

r0 = nd_f4_red_gz_main(sp0,nsp,trace,s0vect,col,rvect,rhead,imat,nred);

#endif

#if 0

if ( DP_Print ) print_eg("search",&eg_search);

#endif

return r0;

}

/* for small finite fields */

/* for Fp, 2<=p<2^16 */

NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col,

NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz)

{

Line 7130 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s

Line 7300 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s

}

get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1);

if ( DP_Print ) {

fprintf(asir_out,"elim1=%fsec,",eg_f4_1.exectime+eg_f4_1.gctime);

fprintf(asir_out,"elim1=%.3fsec,",eg_f4_1.exectime+eg_f4_1.gctime);

fflush(asir_out);

}

/* free index arrays */

Line 7155 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s

Line 7325 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s

get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2);

init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2);

if ( DP_Print ) {

fprintf(asir_out,"elim2=%fsec\n",eg_f4_2.exectime+eg_f4_2.gctime);

fprintf(asir_out,"elim2=%.3fsec,",eg_f4_2.exectime+eg_f4_2.gctime);

fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ",

nsp,nred,sprow,spcol,rank);

fprintf(asir_out,"%fsec\n",eg_f4.exectime+eg_f4.gctime);

fprintf(asir_out,"%.3fsec,",eg_f4.exectime+eg_f4.gctime);

}

if ( nz ) {

for ( i = 0; i < rank-1; i++ ) NEXT(spactive[i]) = spactive[i+1];

Line 7171 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s

Line 7341 NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s

return r0;

}

#if defined(__GNUC__)

/* for Fp, 2^15=<p<2^29 */

NODE nd_f4_red_mod64_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col,

NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz)

{

int spcol,sprow,a;

int i,j,k,l,rank;

NODE r0,r;

ND_pairs sp;

ND spol;

U64 **spmat;

U64 *svect,*cvect;

U64 *v;

int *colstat;

struct oEGT eg0,eg1,eg2,eg_f4,eg_f4_1,eg_f4_2;

int maxrs;

int *spsugar;

ND_pairs *spactive;

spcol = col-nred;

get_eg(&eg0);

/* elimination (1st step) */

spmat = (U64 **)MALLOC(nsp*sizeof(U64 *));

svect = (U64 *)MALLOC(col*sizeof(U64));

cvect = (U64 *)MALLOC(col*sizeof(U64));

spsugar = (int *)MALLOC(nsp*sizeof(int));

spactive = !nz?0:(ND_pairs *)MALLOC(nsp*sizeof(ND_pairs));

for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) {

nd_sp(m,0,sp,&spol);

if ( !spol ) continue;

nd_to_vect64(m,s0vect,col,spol,svect);

maxrs = ndv_reduce_vect64(m,svect,cvect,col,imat,rvect,nred);

for ( i = 0; i < col; i++ ) if ( svect[i] ) break;

if ( i < col ) {

spmat[sprow] = v = (U64 *)MALLOC_ATOMIC(spcol*sizeof(U64));

for ( j = k = 0; j < col; j++ )

if ( !rhead[j] ) v[k++] = (UINT)svect[j];

spsugar[sprow] = MAX(maxrs,SG(spol));

if ( nz )

spactive[sprow] = sp;

sprow++;

}

nd_free(spol);

}

get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1);

if ( DP_Print ) {

fprintf(asir_out,"elim1=%.3fsec,",eg_f4_1.exectime+eg_f4_1.gctime);

fflush(asir_out);

}

/* free index arrays */

for ( i = 0; i < nred; i++ ) GCFREE(imat[i]->index.c);

/* elimination (2nd step) */

colstat = (int *)MALLOC(spcol*sizeof(int));

rank = nd_gauss_elim_mod64(spmat,spsugar,spactive,sprow,spcol,m,colstat);

r0 = 0;

for ( i = 0; i < rank; i++ ) {

NEXTNODE(r0,r); BDY(r) =

(pointer)vect64_to_ndv(spmat[i],spcol,col,rhead,s0vect);

SG((NDV)BDY(r)) = spsugar[i];

GCFREE(spmat[i]);

}

if ( r0 ) NEXT(r) = 0;

for ( ; i < sprow; i++ ) GCFREE(spmat[i]);

get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2);

init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2);

if ( DP_Print ) {

fprintf(asir_out,"elim2=%.3fsec,",eg_f4_2.exectime+eg_f4_2.gctime);

fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ",

nsp,nred,sprow,spcol,rank);

fprintf(asir_out,"%.3fsec,",eg_f4.exectime+eg_f4.gctime);

}

if ( nz ) {

for ( i = 0; i < rank-1; i++ ) NEXT(spactive[i]) = spactive[i+1];

if ( rank > 0 ) {

NEXT(spactive[rank-1]) = 0;

*nz = spactive[0];

} else

*nz = 0;

}

return r0;

}

#endif

/* for small finite fields */

NODE nd_f4_red_sf_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col,

NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz)

{

int spcol,sprow,a;

int i,j,k,l,rank;

NODE r0,r;

ND_pairs sp;

ND spol;

int **spmat;

UINT *svect,*v;

int *colstat;

struct oEGT eg0,eg1,eg2,eg_f4,eg_f4_1,eg_f4_2;

int maxrs;

int *spsugar;

ND_pairs *spactive;

spcol = col-nred;

get_eg(&eg0);

/* elimination (1st step) */

spmat = (int **)MALLOC(nsp*sizeof(UINT *));

svect = (UINT *)MALLOC(col*sizeof(UINT));

spsugar = (int *)MALLOC(nsp*sizeof(int));

spactive = !nz?0:(ND_pairs *)MALLOC(nsp*sizeof(ND_pairs));

for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) {

nd_sp(m,0,sp,&spol);

if ( !spol ) continue;

nd_to_vect(m,s0vect,col,spol,svect);

maxrs = ndv_reduce_vect_sf(m,svect,col,imat,rvect,nred);

for ( i = 0; i < col; i++ ) if ( svect[i] ) break;

if ( i < col ) {

spmat[sprow] = v = (UINT *)MALLOC_ATOMIC(spcol*sizeof(UINT));

for ( j = k = 0; j < col; j++ )

if ( !rhead[j] ) v[k++] = svect[j];

spsugar[sprow] = MAX(maxrs,SG(spol));

if ( nz )

spactive[sprow] = sp;

sprow++;

}

nd_free(spol);

}

get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1);

if ( DP_Print ) {

fprintf(asir_out,"elim1=%.3fsec,",eg_f4_1.exectime+eg_f4_1.gctime);

fflush(asir_out);

}

/* free index arrays */

for ( i = 0; i < nred; i++ ) GCFREE(imat[i]->index.c);

/* elimination (2nd step) */

colstat = (int *)MALLOC(spcol*sizeof(int));

rank = nd_gauss_elim_sf(spmat,spsugar,sprow,spcol,m,colstat);

r0 = 0;

for ( i = 0; i < rank; i++ ) {

NEXTNODE(r0,r); BDY(r) =

(pointer)vect_to_ndv(spmat[i],spcol,col,rhead,s0vect);

SG((NDV)BDY(r)) = spsugar[i];

GCFREE(spmat[i]);

}

if ( r0 ) NEXT(r) = 0;

for ( ; i < sprow; i++ ) GCFREE(spmat[i]);

get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2);

init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2);

if ( DP_Print ) {

fprintf(asir_out,"elim2=%.3fsec,",eg_f4_2.exectime+eg_f4_2.gctime);

fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ",

nsp,nred,sprow,spcol,rank);

fprintf(asir_out,"%.3fsec,",eg_f4.exectime+eg_f4.gctime);

}

if ( nz ) {

for ( i = 0; i < rank-1; i++ ) NEXT(spactive[i]) = spactive[i+1];

if ( rank > 0 ) {

NEXT(spactive[rank-1]) = 0;

*nz = spactive[0];

} else

*nz = 0;

}

return r0;

}

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)

{

Line 7210 NODE nd_f4_red_lf_main(int m,ND_pairs sp0,int nsp,int

Line 7548 NODE nd_f4_red_lf_main(int m,ND_pairs sp0,int nsp,int

}

get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1);

if ( DP_Print ) {

fprintf(asir_out,"elim1=%fsec,",eg_f4_1.exectime+eg_f4_1.gctime);

fprintf(asir_out,"elim1=%.3fsec,",eg_f4_1.exectime+eg_f4_1.gctime);

fflush(asir_out);

}

/* free index arrays */

Line 7245 NODE nd_f4_red_lf_main(int m,ND_pairs sp0,int nsp,int

Line 7583 NODE nd_f4_red_lf_main(int m,ND_pairs sp0,int nsp,int

get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2);

init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2);

if ( DP_Print ) {

fprintf(asir_out,"elim2=%fsec\n",eg_f4_2.exectime+eg_f4_2.gctime);

fprintf(asir_out,"elim2=%.3fsec,",eg_f4_2.exectime+eg_f4_2.gctime);

fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ",

nsp,nred,sprow,spcol,rank);

fprintf(asir_out,"%fsec\n",eg_f4.exectime+eg_f4.gctime);

fprintf(asir_out,"%.3fsec,",eg_f4.exectime+eg_f4.gctime);

}

return r0;

}

Line 7293 NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,int trace,U

Line 7631 NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,int trace,U

}

get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1);

if ( DP_Print ) {

fprintf(asir_out,"elim1=%fsec,",eg_f4_1.exectime+eg_f4_1.gctime);

fprintf(asir_out,"elim1=%.3fsec,",eg_f4_1.exectime+eg_f4_1.gctime);

fflush(asir_out);

}

/* free index arrays */

Line 7327 NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,int trace,U

Line 7665 NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,int trace,U

get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2);

init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2);

if ( DP_Print ) {

fprintf(asir_out,"elim2=%fsec\n",eg_f4_2.exectime+eg_f4_2.gctime);

fprintf(asir_out,"elim2=%.3fsec,",eg_f4_2.exectime+eg_f4_2.gctime);

fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ",

nsp,nred,sprow,spcol,rank);

fprintf(asir_out,"%fsec\n",eg_f4.exectime+eg_f4.gctime);

fprintf(asir_out,"%.3fsec,",eg_f4.exectime+eg_f4.gctime);

}

return r0;

}

Line 7375 NODE nd_f4_red_gz_main(ND_pairs sp0,int nsp,int trace,

Line 7713 NODE nd_f4_red_gz_main(ND_pairs sp0,int nsp,int trace,

}

get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1);

if ( DP_Print ) {

fprintf(asir_out,"elim1=%fsec,",eg_f4_1.exectime+eg_f4_1.gctime);

fprintf(asir_out,"elim1=%.3fsec,",eg_f4_1.exectime+eg_f4_1.gctime);

fflush(asir_out);

}

/* free index arrays */

Line 7412 NODE nd_f4_red_gz_main(ND_pairs sp0,int nsp,int trace,

Line 7750 NODE nd_f4_red_gz_main(ND_pairs sp0,int nsp,int trace,

get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2);

init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2);

if ( DP_Print ) {

fprintf(asir_out,"elim2=%fsec\n",eg_f4_2.exectime+eg_f4_2.gctime);

fprintf(asir_out,"elim2=%.3fsec,",eg_f4_2.exectime+eg_f4_2.gctime);

fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ",

nsp,nred,sprow,spcol,rank);

fprintf(asir_out,"%fsec\n",eg_f4.exectime+eg_f4.gctime);

fprintf(asir_out,"%.3fsec,",eg_f4.exectime+eg_f4.gctime);

}

return r0;

}

Line 7665 int nd_gauss_elim_mod(int **mat0,int *sugar,ND_pairs *

Line 8003 int nd_gauss_elim_mod(int **mat0,int *sugar,ND_pairs *

return rank;

}

#if defined(__GNUC__)

int nd_gauss_elim_mod64(U64 **mat,int *sugar,ND_pairs *spactive,int row,int col,int md,int *colstat)

{

int i,j,k,l,rank,s;

U64 inv;

U64 a;

UINT c;

U64 *t,*pivot,*pk;

UINT *ck;

UINT **cmat;

UINT *ct;

ND_pairs pair;

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;

}

for ( i = rank; i < row; i++ )

if ( mat[i][j] )

break;

if ( i == row ) {

colstat[j] = 0;

continue;

} else

colstat[j] = 1;

if ( i != rank ) {

t = mat[i]; mat[i] = mat[rank]; mat[rank] = t;

ct = cmat[i]; cmat[i] = cmat[rank]; cmat[rank] = ct;

s = sugar[i]; sugar[i] = sugar[rank]; sugar[rank] = s;

if ( spactive ) {

pair = spactive[i]; spactive[i] = 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] ) {

sugar[i] = MAX(sugar[i],s);

red_by_vect64(md,mat[i]+j,cmat[i]+j,mat[rank]+j,(int)(md-a),col-j);

}

rank++;

}

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 ) {

sugar[i] = MAX(sugar[i],s);

red_by_vect64(md,mat[i]+j,cmat[i]+j,mat[l]+j,(int)(md-a),col-j);

}

l--;

}

for ( i = 0; i < row; i++ ) GCFREE(cmat[i]);

GCFREE(cmat);

return rank;

}

#endif

int nd_gauss_elim_sf(int **mat0,int *sugar,int row,int col,int md,int *colstat)

{

int i,j,k,l,inv,a,rank,s;

Line 7954 void nd_det(int mod,MAT f,P *rp)

Line 8371 void nd_det(int mod,MAT f,P *rp)

chsgnq(ONE,&mone);

for ( j = 0, sgn = 1; j < n; j++ ) {

if ( DP_Print ) {

fprintf(stderr,".",j);

fprintf(asir_out,".",j);

}

for ( i = j; i < n && !dm[i][j]; i++ );

if ( i == n ) {

Line 7984 void nd_det(int mod,MAT f,P *rp)

Line 8401 void nd_det(int mod,MAT f,P *rp)

nd_det_reconstruct(dm,n,j,d);

for ( i = j+1, mj = dm[j], mjj = mj[j]; i < n; i++ ) {

/* if ( DP_Print ) fprintf(stderr," i=%d\n ",i); */

/* if ( DP_Print ) fprintf(asir_out," i=%d\n ",i); */

mi = dm[i]; mij = mi[j];

if ( mod )

ndv_mul_c(mod,mij,mod-1);

else

ndv_mul_c_q(mij,mone);

for ( k = j+1; k < n; k++ ) {

/* if ( DP_Print ) fprintf(stderr,"k=%d ",k); */

/* if ( DP_Print ) fprintf(asir_out,"k=%d ",k); */

bucket = create_pbucket();

if ( mi[k] ) {

nmv = BDY(mjj); len = LEN(mjj);

Line 8010 void nd_det(int mod,MAT f,P *rp)

Line 8427 void nd_det(int mod,MAT f,P *rp)

u = nd_quo(mod,bucket,d);

mi[k] = ndtondv(mod,u);

}

/* if ( DP_Print ) fprintf(stderr,"\n",k); */

/* if ( DP_Print ) fprintf(asir_out,"\n",k); */

}

d = mjj;

}

if ( DP_Print ) {

fprintf(stderr,"\n",k);

fprintf(asir_out,"\n",k);

}

if ( sgn < 0 )

if ( mod )

Line 8191 int nd_monic(int mod,ND *p)

Line 8608 int nd_monic(int mod,ND *p)

is_lc = 1;

while ( 1 ) {

NEWMP(mp0); mp = mp0;

mp->c = (P)CQ(m);

mp->c = (Obj)CQ(m);

mp->dl = nd_separate_d(DL(m),DL(ma));

NEWNM(mb);

for ( m = NEXT(m); m; m = NEXT(m) ) {

alg = nd_separate_d(DL(m),DL(mb));

if ( !ndl_equal(DL(ma),DL(mb)) )

break;

NEXTMP(mp0,mp); mp->c = (P)CQ(m); mp->dl = alg;

NEXTMP(mp0,mp); mp->c = (Obj)CQ(m); mp->dl = alg;

}

NEXT(mp) = 0;

MKDP(nd_nalg,mp0,nm);

Line 8814 void nd_f4_lf_trace(LIST f,LIST v,int trace,int homo,s

Line 9231 void nd_f4_lf_trace(LIST f,LIST v,int trace,int homo,s

}

get_eg(&eg1); init_eg(&eg_check); add_eg(&eg_check,&eg0,&eg1);

if ( DP_Print )

fprintf(asir_out,"check=%fsec\n",eg_check.exectime+eg_check.gctime);

fprintf(asir_out,"check=%.3fsec\n",eg_check.exectime+eg_check.gctime);

/* dp->p */

nd_bpe = cbpe;

nd_setup_parameters(nd_nvar,0);

Line 8874 NODE nd_f4_lf_trace_main(int m,int **indp)

Line 9291 NODE nd_f4_lf_trace_main(int m,int **indp)

}

get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1);

if ( DP_Print )

fprintf(asir_out,"sugar=%d,symb=%fsec,",

fprintf(asir_out,"sugar=%d,symb=%.3fsec,",

sugar,eg_f4.exectime+eg_f4.gctime);

nflist = nd_f4_red(m,l,0,s0vect,col,rp0,&l0);

if ( !l0 ) continue;

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