OpenXM_contrib2/asir2000/engine/nd.c - diff

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Diff for /OpenXM_contrib2/asir2000/engine/nd.c between version 1.117 and 1.128

version 1.117, 2004/12/03 08:57:30

version 1.128, 2005/08/03 06:10:47

Line 1

/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.116 2004/12/01 12:36:17 noro Exp $ */

/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.127 2005/08/03 05:01:01 noro Exp $ */

#include "nd.h"

Line 8 NM _nm_free_list;

ND _nd_free_list;

ND_pairs _ndp_free_list;

static int nd_ntrans;

static int nd_nalg;

#if 0

static int ndv_alloc;

Line 42 static int nd_found,nd_create,nd_notfirst;

Line 43 static int nd_found,nd_create,nd_notfirst;

static int nmv_adv;

static int nd_demand;

NumberField get_numberfield();

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

void nd_det_reconstruct(NDV **dm,int n,int j,NDV d);

ND nd_pseudo_monic(int m,ND p);

int nd_monic(int m,ND *p);

void nd_free_private_storage()

{

Line 1282 int ndv_check_candidate(NODE input,int obpe,int oadv,E

Line 1284 int ndv_check_candidate(NODE input,int obpe,int oadv,E

NODE t,s;

union oNDC dn;

ndv_setup(0,0,cand);

ndv_setup(0,0,cand,0);

n = length(cand);

/* membercheck : list is a subset of Id(cand) ? */

Line 1535 ND normalize_pbucket(int mod,PGeoBucket g)

Line 1537 ND normalize_pbucket(int mod,PGeoBucket g)

return r;

}

void do_diagonalize(int sugar,int m)

int do_diagonalize(int sugar,int m)

{

int i,nh,stat;

NODE r,g,t;

Line 1551 void do_diagonalize(int sugar,int m)

Line 1553 void do_diagonalize(int sugar,int m)

nfv = nd_ps[i];

s = ndvtond(m,nfv);

s = nd_separate_head(s,&head);

nd_nf(m,s,nd_ps,1,&dn,&nf);

stat = nd_nf(m,s,nd_ps,1,&dn,&nf);

if ( !stat ) return 0;

if ( !m ) {

NTOQ(NM(dn.z),SGN(dn.z),num);

mulq(HCQ(head),num,&q); HCQ(head) = q;

Line 1572 void do_diagonalize(int sugar,int m)

Line 1575 void do_diagonalize(int sugar,int m)

} else

nd_ps[i] = nfv;

}

return 1;

}

/* return value = 0 => input is not a GB */

Line 1597 NODE nd_gb(int m,int ishomo,int checkonly)

Line 1601 NODE nd_gb(int m,int ishomo,int checkonly)

again:

l = nd_minp(d,&d);

if ( SG(l) != sugar ) {

if ( ishomo ) do_diagonalize(sugar,m);

if ( ishomo ) {

stat = do_diagonalize(sugar,m);

if ( !stat ) {

NEXT(l) = d; d = l;

d = nd_reconstruct(0,d);

goto again;

}

sugar = SG(l);

if ( DP_Print ) fprintf(asir_out,"%d",sugar);

}

Line 1621 again:

Line 1631 again:

if ( checkonly ) return 0;

if ( DP_Print ) { printf("+"); fflush(stdout); }

nd_removecont(m,nf);

if ( nd_nalg ) {

if ( !m && nd_nalg ) {

nf1 = nd_pseudo_monic(m,nf); nd_free(nf);

nd_monic(0,&nf);

stat = nd_nf(m,nf1,nd_ps,1,0,&nf);

nd_removecont(m,nf);

if ( stat ) {

NEXT(l) = d; d = l;

d = nd_reconstruct(0,d);

goto again;

}

nfv = ndtondv(m,nf); nd_free(nf);

nh = ndv_newps(m,nfv,0);

Line 1649 again:

Line 1654 again:

return g;

}

void do_diagonalize_trace(int sugar,int m)

int do_diagonalize_trace(int sugar,int m)

{

int i,nh,stat;

NODE r,g,t;

Line 1662 void do_diagonalize_trace(int sugar,int m)

Line 1667 void do_diagonalize_trace(int sugar,int m)

/* for nd_ps */

s = ndvtond(m,nd_ps[i]);

s = nd_separate_head(s,&head);

nd_nf_pbucket(m,s,nd_ps,1,&nf);

stat = nd_nf_pbucket(m,s,nd_ps,1,&nf);

if ( !stat ) return 0;

nf = nd_add(m,head,nf);

ndv_free(nd_ps[i]);

nd_ps[i] = ndtondv(m,nf);

Line 1675 void do_diagonalize_trace(int sugar,int m)

Line 1681 void do_diagonalize_trace(int sugar,int m)

nfv = nd_ps_trace[i];

s = ndvtond(0,nfv);

s = nd_separate_head(s,&head);

nd_nf(0,s,nd_ps_trace,1,&dn,&nf);

stat = nd_nf(0,s,nd_ps_trace,1,&dn,&nf);

if ( !stat ) return 0;

NTOQ(NM(dn.z),SGN(dn.z),num);

mulq(HCQ(head),num,&q); HCQ(head) = q;

if ( DN(dn.z) ) {

Line 1694 void do_diagonalize_trace(int sugar,int m)

Line 1701 void do_diagonalize_trace(int sugar,int m)

} else

nd_ps_trace[i] = nfv;

}

return 1;

}

static struct oEGT eg_invdalg;

struct oEGT eg_le;

NODE nd_gb_trace(int m,int ishomo)

{

int i,nh,sugar,stat;

Line 1706 NODE nd_gb_trace(int m,int ishomo)

Line 1717 NODE nd_gb_trace(int m,int ishomo)

NDV nfv,nfqv;

Q q,den,num;

union oNDC dn;

struct oEGT eg_monic,egm0,egm1;

init_eg(&eg_monic);

init_eg(&eg_invdalg);

init_eg(&eg_le);

g = 0; d = 0;

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

d = update_pairs(d,g,i);

Line 1717 NODE nd_gb_trace(int m,int ishomo)

Line 1732 NODE nd_gb_trace(int m,int ishomo)

again:

l = nd_minp(d,&d);

if ( SG(l) != sugar ) {

if ( ishomo ) do_diagonalize_trace(sugar,m);

if ( ishomo ) {

stat = do_diagonalize_trace(sugar,m);

if ( !stat ) {

NEXT(l) = d; d = l;

d = nd_reconstruct(1,d);

goto again;

}

sugar = SG(l);

if ( DP_Print ) fprintf(asir_out,"%d",sugar);

}

Line 1754 again:

Line 1776 again:

if ( !rem(NM(HCQ(nfq)),m) ) return 0;

if ( DP_Print ) { printf("+"); fflush(stdout); }

nd_removecont(m,nf); nfv = ndtondv(m,nf); nd_free(nf);

if ( nd_nalg ) {

nd_removecont(0,nfq); nfqv = ndtondv(0,nfq); nd_free(nfq);

/* m|DN(HC(nf)^(-1)) => failure */

get_eg(&egm0);

if ( !nd_monic(m,&nfq) ) return 0;

get_eg(&egm1); add_eg(&eg_monic,&egm0,&egm1);

nd_removecont(0,nfq); nfqv = ndtondv(0,nfq); nd_free(nfq);

nfv = ndv_dup(0,nfqv); ndv_mod(m,nfv); nd_free(nf);

} else {

nd_removecont(0,nfq); nfqv = ndtondv(0,nfq); nd_free(nfq);

nd_removecont(m,nf); nfv = ndtondv(m,nf); nd_free(nf);

}

nh = ndv_newps(0,nfv,nfqv);

d = update_pairs(d,g,nh);

g = update_base(g,nh);

Line 1773 again:

Line 1804 again:

else

for ( t = g; t; t = NEXT(t) )

BDY(t) = (pointer)nd_ps_trace[(int)BDY(t)];

if ( nd_nalg ) {

print_eg("monic",&eg_monic);

print_eg("invdalg",&eg_invdalg);

print_eg("le",&eg_le);

}

return g;

}

Line 1803 NODE ndv_reduceall(int m,NODE f)

Line 1839 NODE ndv_reduceall(int m,NODE f)

(int (*)(const void *,const void *))ndv_compare);

for ( t = f, i = 0; t; i++, t = NEXT(t) ) BDY(t) = (pointer)w[i];

#endif

ndv_setup(m,0,f);

ndv_setup(m,0,f,0);

for ( i = 0; i < n; ) {

g = ndvtond(m,nd_ps[i]);

g = nd_separate_head(g,&head);

Line 2143 int ndv_newps(int m,NDV a,NDV aq)

Line 2179 int ndv_newps(int m,NDV a,NDV aq)

return nd_psn++;

}

void ndv_setup(int mod,int trace,NODE f)

void ndv_setup(int mod,int trace,NODE f,int dont_sort)

{

int i,j,td,len,max;

NODE s,s0,f0;

Line 2157 void ndv_setup(int mod,int trace,NODE f)

Line 2193 void ndv_setup(int mod,int trace,NODE f)

for ( nd_psn = 0, s = f; s; s = NEXT(s) ) if ( BDY(s) ) nd_psn++;

w = (NDV *)ALLOCA(nd_psn*sizeof(NDV));

for ( i = 0, s = f; s; s = NEXT(s) ) if ( BDY(s) ) w[i++] = BDY(s);

qsort(w,nd_psn,sizeof(NDV),

if ( !dont_sort )

(int (*)(const void *,const void *))ndv_compare);

qsort(w,nd_psn,sizeof(NDV),

(int (*)(const void *,const void *))ndv_compare);

nd_pslen = 2*nd_psn;

nd_ps = (NDV *)MALLOC(nd_pslen*sizeof(NDV));

nd_ps_trace = (NDV *)MALLOC(nd_pslen*sizeof(NDV));

Line 2194 void ndv_setup(int mod,int trace,NODE f)

Line 2231 void ndv_setup(int mod,int trace,NODE f)

}

struct order_spec *append_block(struct order_spec *spec,

int nv,int nalg,int ord);

extern VECT current_dl_weight_vector_obj;

static VECT prev_weight_vector_obj;

void preprocess_algcoef(VL vv,VL av,struct order_spec *ord,LIST f,

struct order_spec **ord1p,LIST *f1p,NODE *alistp)

{

NODE alist,t,s,r0,r,arg;

VL tv;

P poly;

DP d;

Alg alpha,dp;

DAlg inv,da,hc;

MP m;

int i,nvar,nalg,n;

NumberField nf;

LIST f1,f2;

struct order_spec *current_spec;

VECT obj,obj0;

Obj tmp;

for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++);

for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++);

for ( alist = 0, tv = av; tv; tv = NEXT(tv) ) {

NEXTNODE(alist,t); MKV(tv->v,poly);

MKAlg(poly,alpha); BDY(t) = (pointer)alpha;

tv->v = tv->v->priv;

}

NEXT(t) = 0;

/* simplification, makeing polynomials monic */

setfield_dalg(alist);

obj_algtodalg(f,&f1);

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

initd(ord); ptod(vv,vv,(P)BDY(t),&d);

hc = (DAlg)BDY(d)->c;

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;

}

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

}

obj_dalgtoalg(f1,&f);

/* append alg vars to the var list */

for ( tv = vv; NEXT(tv); tv = NEXT(tv) );

NEXT(tv) = av;

/* append a block to ord */

*ord1p = append_block(ord,nvar,nalg,2);

/* create generator list */

nf = get_numberfield();

for ( i = nalg-1, t = BDY(f); i >= 0; i-- ) {

MKAlg(nf->defpoly[i],dp);

MKNODE(s,dp,t); t = s;

}

MKLIST(f1,t);

*alistp = alist;

algobjtorat(f1,f1p);

/* creating a new weight vector */

prev_weight_vector_obj = obj0 = current_dl_weight_vector_obj;

n = nvar+nalg+1;

MKVECT(obj,n);

if ( obj0 && obj0->len == nvar )

for ( i = 0; i < nvar; i++ ) BDY(obj)[i] = BDY(obj0)[i];

else

for ( i = 0; i < nvar; i++ ) BDY(obj)[i] = (pointer)ONE;

for ( i = 0; i < nalg; i++ ) BDY(obj)[i+nvar] = 0;

BDY(obj)[n-1] = (pointer)ONE;

arg = mknode(1,obj);

Pdp_set_weight(arg,&tmp);

}

NODE postprocess_algcoef(VL av,NODE alist,NODE r)

{

NODE s,t,u0,u;

P p;

VL tv;

Obj obj,tmp;

NODE arg;

u0 = 0;

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

p = (P)BDY(t);

for ( tv = av, s = alist; tv; tv = NEXT(tv), s = NEXT(s) ) {

substr(CO,0,(Obj)p,tv->v,(Obj)BDY(s),&obj); p = (P)obj;

}

if ( OID(p) == O_P || (OID(p) == O_N && NID((Num)p) != N_A) ) {

NEXTNODE(u0,u);

BDY(u) = (pointer)p;

}

arg = mknode(1,prev_weight_vector_obj);

Pdp_set_weight(arg,&tmp);

return u0;

}

void nd_gr(LIST f,LIST v,int m,int f4,struct order_spec *ord,LIST *rp)

{

VL tv,fv,vv,vc;

VL tv,fv,vv,vc,av;

NODE fd,fd0,r,r0,t,x,s,xx;

NODE fd,fd0,r,r0,t,x,s,xx,alist;

int e,max,nvar;

int e,max,nvar,i;

NDV b;

int ishomo;

int ishomo,nalg;

Alg alpha,dp;

P p;

LIST f1,f2;

Obj obj;

NumberField nf;

struct order_spec *ord1;

if ( !m && Demand ) nd_demand = 1;

else nd_demand = 0;

Line 2218 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe

Line 2366 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe

default:

break;

}

nd_nalg = 0;

av = 0;

if ( !m ) {

get_algtree((Obj)f,&av);

for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++ );

nd_ntrans = nvar;

nd_nalg = nalg;

/* #i -> t#i */

if ( nalg ) {

preprocess_algcoef(vv,av,ord,f,&ord1,&f1,&alist);

ord = ord1;

f = f1;

}

nvar += nalg;

}

nd_init_ord(ord);

for ( t = BDY(f), max = 0; t; t = NEXT(t) )

for ( tv = vv; tv; tv = NEXT(tv) ) {

Line 2234 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe

Line 2397 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe

if ( b ) { NEXTNODE(fd0,fd); BDY(fd) = (pointer)b; }

}

if ( fd0 ) NEXT(fd) = 0;

ndv_setup(m,0,fd0);

ndv_setup(m,0,fd0,0);

x = f4?nd_f4(m):nd_gb(m,ishomo,0);

nd_demand = 0;

x = ndv_reducebase(x);

Line 2244 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe

Line 2407 void nd_gr(LIST f,LIST v,int m,int f4,struct order_spe

BDY(r) = ndvtop(m,CO,vv,BDY(t));

}

if ( r0 ) NEXT(r) = 0;

if ( nalg )

r0 = postprocess_algcoef(av,alist,r0);

MKLIST(*rp,r0);

#if 0

fprintf(asir_out,"ndv_alloc=%d\n",ndv_alloc);

#endif

}

void nd_gr_trace(LIST f,LIST v,int trace,int homo,struct order_spec *ord,LIST *rp)

void nd_gr_postproc(LIST f,LIST v,int m,struct order_spec *ord,int do_check,LIST *rp)

{

VL tv,fv,vv,vc,av;

NODE fd,fd0,r,r0,t,x,s,xx,alist;

int e,max,nvar,i;

NDV b;

int ishomo,nalg;

Alg alpha,dp;

P p;

LIST f1,f2;

Obj obj;

NumberField nf;

struct order_spec *ord1;

VL tv,fv,vv,vc;

NODE fd,fd0,in0,in,r,r0,t,s,cand;

get_vars((Obj)f,&fv); pltovl(v,&vv);

for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ );

switch ( ord->id ) {

case 1:

if ( ord->nv != nvar )

error("nd_check : invalid order specification");

break;

default:

break;

}

nd_nalg = 0;

av = 0;

if ( !m ) {

get_algtree((Obj)f,&av);

for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++ );

nd_ntrans = nvar;

nd_nalg = nalg;

/* #i -> t#i */

if ( nalg ) {

preprocess_algcoef(vv,av,ord,f,&ord1,&f1,&alist);

ord = ord1;

f = f1;

}

nvar += nalg;

}

nd_init_ord(ord);

for ( t = BDY(f), max = 0; t; t = NEXT(t) )

for ( tv = vv; tv; tv = NEXT(tv) ) {

e = getdeg(tv->v,(P)BDY(t));

max = MAX(e,max);

}

nd_setup_parameters(nvar,max);

ishomo = 1;

for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {

b = (pointer)ptondv(CO,vv,(P)BDY(t));

if ( ishomo )

ishomo = ishomo && ndv_ishomo(b);

if ( m ) ndv_mod(m,b);

if ( b ) { NEXTNODE(fd0,fd); BDY(fd) = (pointer)b; }

}

if ( fd0 ) NEXT(fd) = 0;

ndv_setup(m,0,fd0,0);

for ( x = 0, i = 0; i < nd_psn; i++ )

x = update_base(x,i);

if ( do_check ) {

x = nd_gb(m,ishomo,1);

if ( !x ) {

*rp = 0;

return;

}

} else {

for ( t = x; t; t = NEXT(t) )

BDY(t) = (pointer)nd_ps[(int)BDY(t)];

}

x = ndv_reducebase(x);

x = ndv_reduceall(m,x);

for ( r0 = 0, t = x; t; t = NEXT(t) ) {

NEXTNODE(r0,r);

BDY(r) = ndvtop(m,CO,vv,BDY(t));

}

if ( r0 ) NEXT(r) = 0;

if ( nalg )

r0 = postprocess_algcoef(av,alist,r0);

MKLIST(*rp,r0);

}

void nd_gr_trace(LIST f,LIST v,int trace,int homo,struct order_spec *ord,LIST *rp)

{

VL tv,fv,vv,vc,av;

NODE fd,fd0,in0,in,r,r0,t,s,cand,alist;

int m,nocheck,nvar,mindex,e,max;

NDV c;

NMV a;

P p;

EPOS oepos;

int obpe,oadv,wmax,i,len,cbpe,ishomo;

int obpe,oadv,wmax,i,len,cbpe,ishomo,nalg;

Alg alpha,dp;

P poly;

LIST f1,f2;

Obj obj;

NumberField nf;

struct order_spec *ord1;

get_vars((Obj)f,&fv); pltovl(v,&vv);

for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ );

Line 2272 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru

Line 2522 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru

default:

break;

}

get_algtree((Obj)f,&av);

for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++ );

nd_ntrans = nvar;

nd_nalg = nalg;

/* #i -> t#i */

if ( nalg ) {

preprocess_algcoef(vv,av,ord,f,&ord1,&f1,&alist);

ord = ord1;

f = f1;

}

nvar += nalg;

nocheck = 0;

mindex = 0;

Line 2305 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru

Line 2568 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru

if ( in0 ) NEXT(in) = 0;

if ( fd0 ) NEXT(fd) = 0;

if ( !ishomo && homo ) {

for ( t = in0, wmax = 0; t; t = NEXT(t) ) {

for ( t = in0, wmax = max; t; t = NEXT(t) ) {

c = (NDV)BDY(t); len = LEN(c);

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

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

Line 2319 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru

Line 2582 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru

while ( 1 ) {

if ( Demand )

nd_demand = 1;

ndv_setup(m,1,fd0);

ndv_setup(m,1,fd0,0);

cand = nd_gb_trace(m,ishomo || homo);

if ( !cand ) {

/* failure */

Line 2361 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru

Line 2624 void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru

/* dp->p */

nd_bpe = cbpe;

nd_setup_parameters(nd_nvar,0);

for ( r = cand; r; r = NEXT(r) ) BDY(r) = (pointer)ndvtop(0,CO,vv,BDY(r));

for ( r = cand; r; r = NEXT(r) )

BDY(r) = (pointer)ndvtop(0,CO,vv,BDY(r));

if ( nalg )

cand = postprocess_algcoef(av,alist,cand);

MKLIST(*rp,cand);

}

Line 3230 ND nd_quo(int mod,PGeoBucket bucket,NDV d)

Line 3496 ND nd_quo(int mod,PGeoBucket bucket,NDV d)

ND p,t,r;

N tnm;

if ( !p ) return 0;

if ( bucket->m < 0 ) return 0;

else {

nv = NV(d);

mq0 = 0;

Line 3351 ND nd_dup(ND p)

Line 3617 ND nd_dup(ND p)

void ndv_mod(int mod,NDV p)

{

NMV t,d;

int r;

int r,s,u;

int i,len,dlen;

Obj gfs;

Line 3373 void ndv_mod(int mod,NDV p)

Line 3639 void ndv_mod(int mod,NDV p)

if ( r ) {

if ( SGN(CQ(t)) < 0 )

r = mod-r;

if ( DN(CQ(t)) ) {

s = rem(DN(CQ(t)),mod);

if ( !s )

error("ndv_mod : division by 0");

s = invm(s,mod);

DMAR(r,s,0,mod,u); r = u;

}

CM(d) = r;

ndl_copy(DL(t),DL(d));

NMV_ADV(d);

Line 3760 void nd_nf_p(P f,LIST g,LIST v,int m,struct order_spec

Line 4033 void nd_nf_p(P f,LIST g,LIST v,int m,struct order_spec

if ( m ) ndv_mod(m,(NDV)BDY(in));

NEXT(in) = 0;

ndv_setup(m,0,in0);

/* dont sort */

ndv_setup(m,0,in0,1);

nd_psn--;

nd_scale=2;

while ( 1 ) {

Line 4905 void nd_det(int mod,MAT f,P *rp)

Line 5179 void nd_det(int mod,MAT f,P *rp)

int n,i,j,max,e,nvar,sgn,k0,l0,len0,len,k,l,a;

pointer **m;

Q mone;

P **w;

P mp,r;

NDV **dm;

NDV *t,*mi,*mj;

NDV d,s,mij,mjj;

Line 4913 void nd_det(int mod,MAT f,P *rp)

Line 5189 void nd_det(int mod,MAT f,P *rp)

UINT *bound;

PGeoBucket bucket;

struct order_spec *ord;

Q dq,dt,ds;

N gn,qn,dn0,nm,dn;

create_order_spec(0,0,&ord);

nd_init_ord(ord);

Line 4920 void nd_det(int mod,MAT f,P *rp)

Line 5198 void nd_det(int mod,MAT f,P *rp)

if ( f->row != f->col )

error("nd_det : non-square matrix");

n = f->row;

for ( nvar = 0, tv = fv; tv; tv = NEXT(tv), nvar++ );

m = f->body;

for ( nvar = 0, tv = fv; tv; tv = NEXT(tv), nvar++ );

if ( !nvar ) {

if ( !mod )

detp(CO,(P **)m,n,rp);

else {

w = (P **)almat_pointer(n,n);

for ( i = 0; i < n; i++ )

for ( j = 0; j < n; j++ )

ptomp(mod,(P)m[i][j],&w[i][j]);

detmp(CO,mod,w,n,&mp);

mptop(mp,rp);

}

return;

}

if ( !mod ) {

w = (P **)almat_pointer(n,n);

dq = ONE;

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

dn0 = ONEN;

for ( j = 0; j < n; j++ ) {

if ( !m[i][j] ) continue;

lgp(m[i][j],&nm,&dn);

gcdn(dn0,dn,&gn); divsn(dn0,gn,&qn); muln(qn,dn,&dn0);

}

if ( !UNIN(dn0) ) {

NTOQ(dn0,1,ds);

for ( j = 0; j < n; j++ )

mulp(CO,(P)m[i][j],(P)ds,&w[i][j]);

mulq(dq,ds,&dt); dq = dt;

} else

for ( j = 0; j < n; j++ )

w[i][j] = (P)m[i][j];

}

m = (pointer **)w;

}

for ( i = 0, max = 0; i < n; i++ )

for ( j = 0; j < n; j++ )

for ( tv = fv; tv; tv = NEXT(tv) ) {

Line 4940 void nd_det(int mod,MAT f,P *rp)

Line 5255 void nd_det(int mod,MAT f,P *rp)

if ( mod ) ndv_mod(mod,d);

chsgnq(ONE,&mone);

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

if ( DP_Print ) fprintf(stderr,"j=%d\n",j);

if ( DP_Print ) fprintf(stderr,".",j);

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

if ( i == n ) {

*rp = 0;

Line 4997 void nd_det(int mod,MAT f,P *rp)

Line 5312 void nd_det(int mod,MAT f,P *rp)

}

d = mjj;

}

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

if ( sgn < 0 )

if ( mod )

ndv_mul_c(mod,d,mod-1);

else

ndv_mul_c_q(d,mone);

*rp = ndvtop(mod,CO,fv,d);

r = ndvtop(mod,CO,fv,d);

if ( !mod && !UNIQ(dq) )

divsp(CO,r,(P)dq,rp);

else

*rp = r;

}

ND ndv_mul_nmv_trunc(int mod,NMV m0,NDV p,UINT *d)

Line 5110 UINT *nd_det_compute_bound(NDV **dm,int n,int j)

Line 5430 UINT *nd_det_compute_bound(NDV **dm,int n,int j)

DL nd_separate_d(UINT *d,UINT *trans)

{

int n,ntrans,td,i,e;

int n,td,i,e,j;

DL a;

n = nd_nvar; ntrans = n-nd_nalg;

ndl_zero(trans);

td = 0;

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

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

e = GET_EXP(d,i);

PUT_EXP(trans,i,e);

td += MUL_WEIGHT(e,i);

}

if ( nd_ntrans+nd_nalg < nd_nvar ) {

/* homogenized */

i = nd_nvar-1;

e = GET_EXP(d,i);

PUT_EXP(trans,i,e);

td += MUL_WEIGHT(e,i);

}

TD(trans) = td;

if ( nd_blockmask) ndl_weight_mask(trans);

NEWDL(a,nd_nalg);

td = 0;

for ( ; i < n; i++ ) {

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

e = GET_EXP(d,i);

j = nd_ntrans+i;

a->d[i-ntrans] = e;

e = GET_EXP(d,j);

a->d[i] = e;

td += e;

}

a->td = td;

return a;

}

ND nd_pseudo_monic(int mod,ND p)

int nd_monic(int mod,ND *p)

{

UINT *trans,*t;

DL alg;

MP mp0,mp;

NM m,m0,m1;

NM m,m0,m1,ma0,ma,mb,mr0,mr;

ND r;

DL dl;

DP nm;

NDV ndv;

DAlg lc,inv;

DAlg inv,cd;

ND s,c;

int n,ntrans,i,e,td;

Q l,mul;

N ln;

int n,ntrans,i,e,td,is_lc,len;

NumberField nf;

struct oEGT eg0,eg1;

n = nd_nvar; ntrans = n-nd_nalg;

if ( !(nf = get_numberfield()) )

NEWNM(m0);

error("nd_monic : current_numberfield is not set");

NEWNM(m1);

alg = nd_separate_d(HDL(p),DL(m0));

/* Q coef -> DAlg coef */

mp0 = 0; NEXTMP(mp0,mp); mp->c = (P)HCQ(p); mp->dl = alg;

NEWNM(ma0); ma = ma0;

if ( !mp->dl->td )

m = BDY(*p);

return p;

is_lc = 1;

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

while ( 1 ) {

alg = nd_separate_d(DL(m),DL(m1));

NEWMP(mp0); mp = mp0;

if ( !ndl_equal(DL(m0),DL(m1)) )

mp->c = (P)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;

}

NEXT(mp) = 0;

MKDP(nd_nalg,mp0,nm);

MKDAlg(nm,ONE,cd);

if ( is_lc == 1 ) {

/* if the lc is a rational number, we have nothing to do */

if ( !mp0->dl->td )

return 1;

get_eg(&eg0);

invdalg(cd,&inv);

get_eg(&eg1); add_eg(&eg_invdalg,&eg0,&eg1);

/* check the validity of inv */

if ( mod && !rem(NM(inv->dn),mod) )

return 0;

CA(ma) = nf->one;

is_lc = 0;

ln = ONEN;

} else {

muldalg(cd,inv,&CA(ma));

lcmn(ln,NM(CA(ma)->dn),&ln);

}

if ( m ) {

NEXT(ma) = mb; ma = mb;

} else {

NEXT(ma) = 0;

break;

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

}

NEXT(mp) = 0;

/* l = lcm(denoms) */

MKDP(nd_nalg,mp0,nm);

NTOQ(ln,1,l);

MKDAlg(nm,ONE,lc);

for ( mr0 = 0, m = ma0; m; m = NEXT(m) ) {

invdalg(lc,&inv);

divq(l,CA(m)->dn,&mul);

ndv = ndtondv(0,p);

for ( mp = BDY(CA(m)->nm); mp; mp = NEXT(mp) ) {

for ( s = 0, mp = BDY(inv->nm); mp; mp = NEXT(mp) ) {

NEXTNM(mr0,mr);

CQ(m0) = (Q)mp->c;

mulq((Q)mp->c,mul,&CQ(mr));

dl = mp->dl;

for ( td = 0, i = ntrans; i < n; i++ ) {

td = TD(DL(m));

e = dl->d[i-ntrans];

ndl_copy(DL(m),DL(mr));

ndl_zero(DL(m0));

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

PUT_EXP(DL(m0),i,e);

e = dl->d[i];

td += MUL_WEIGHT(e,i);

PUT_EXP(DL(mr),i+nd_ntrans,e);

td += MUL_WEIGHT(e,i+nd_ntrans);

}

TD(DL(mr)) = td;

if ( nd_blockmask) ndl_weight_mask(DL(mr));

}

TD(DL(m0)) = td;

if ( nd_blockmask) ndl_weight_mask(trans);

s = nd_add(0,s,ndv_mul_nm(0,m0,ndv));

}

ndv_free(ndv);

NEXT(mr) = 0;

return s;

for ( len = 0, mr = mr0; mr; mr = NEXT(mr), len++ );

MKND(NV(*p),mr0,len,r);

/* XXX */

SG(r) = SG(*p);

nd_free(*p);

*p = r;

return 1;

}

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