/* $OpenXM: OpenXM_contrib2/asir2018/engine/nd.c,v 1.22 2019/11/21 01:54:01 noro Exp $ */
#include "nd.h"
int Nnd_add,Nf4_red;
struct oEGT eg_search,f4_symb,f4_conv,f4_elim1,f4_elim2;
int diag_period = 6;
int weight_check = 1;
int (*ndl_compare_function)(UINT *a1,UINT *a2);
/* for general module order */
int (*ndl_base_compare_function)(UINT *a1,UINT *a2);
int (*dl_base_compare_function)(int nv,DL a,DL b);
int nd_base_ordtype;
int nd_dcomp;
int nd_rref2;
NM _nm_free_list;
ND _nd_free_list;
ND_pairs _ndp_free_list;
NODE nd_hcf;
Obj nd_top_weight;
static NODE nd_subst;
static VL nd_vc;
static int nd_ntrans;
static int nd_nalg;
#if 0
static int ndv_alloc;
#endif
#if 1
static int nd_f4_nsp=0x7fffffff;
#else
static int nd_f4_nsp=50;
#endif
static double nd_scale=2;
static UINT **nd_bound;
static struct order_spec *nd_ord;
static EPOS nd_epos;
static BlockMask nd_blockmask;
static int nd_nvar;
static int nd_isrlex;
static int nd_epw,nd_bpe,nd_wpd,nd_exporigin;
static UINT nd_mask[32];
static UINT nd_mask0,nd_mask1;
static NDV *nd_ps;
static NDV *nd_ps_trace;
static NDV *nd_ps_sym;
static NDV *nd_ps_trace_sym;
static RHist *nd_psh;
static int nd_psn,nd_pslen;
static RHist *nd_red;
static int *nd_work_vector;
static int **nd_matrix;
static int nd_matrix_len;
static struct weight_or_block *nd_worb;
static int nd_worb_len;
static int nd_found,nd_create,nd_notfirst;
static int nmv_adv;
static int nd_demand;
static int nd_module,nd_module_ordtype,nd_mpos,nd_pot_nelim;
static int nd_module_rank,nd_poly_weight_len;
static int *nd_poly_weight,*nd_module_weight;
static NODE nd_tracelist;
static NODE nd_alltracelist;
static int nd_gentrace,nd_gensyz,nd_nora,nd_newelim,nd_intersect,nd_lf;
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,nd_last_nonzero;
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);
void nd_heu_nezgcdnpz(VL vl,P *pl,int m,int full,P *pr);
int nd_monic(int m,ND *p);
NDV plain_vect_to_ndv_q(Z *mat,int col,UINT *s0vect);
LIST ndvtopl(int mod,VL vl,VL dvl,NDV p,int rank);
NDV pltondv(VL vl,VL dvl,LIST p);
void pltozpl(LIST l,Q *cont,LIST *pp);
void ndl_max(UINT *d1,unsigned *d2,UINT *d);
void nmtodp(int mod,NM m,DP *r);
void ndltodp(UINT *d,DP *r);
NODE reverse_node(NODE n);
P ndc_div(int mod,union oNDC a,union oNDC b);
P ndctop(int mod,union oNDC c);
void finalize_tracelist(int i,P cont);
void conv_ilist(int demand,int trace,NODE g,int **indp);
void parse_nd_option(NODE opt);
void dltondl(int n,DL dl,UINT *r);
DP ndvtodp(int mod,NDV p);
DP ndtodp(int mod,ND p);
DPM ndvtodpm(int mod,NDV p);
NDV dpmtondv(int mod,DPM p);
int dpm_getdeg(DPM p,int *rank);
void dpm_ptozp(DPM p,Z *cont,DPM *r);
int compdmm(int nv,DMM a,DMM b);
void Pdp_set_weight(NODE,VECT *);
void Pox_cmo_rpc(NODE,Obj *);
ND nd_add_lf(ND p1,ND p2);
void nd_mul_c_lf(ND p,Z mul);
void ndv_mul_c_lf(NDV p,Z 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);
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);
extern int lf_lazy;
extern Z current_mod_lf;
extern int Denominator,DP_Multiple,MaxDeg;
#define BLEN (8*sizeof(unsigned long))
typedef struct matrix {
int row,col;
unsigned long **a;
} *matrix;
void nd_free_private_storage()
{
_nm_free_list = 0;
_ndp_free_list = 0;
#if 0
GC_gcollect();
#endif
}
void _NM_alloc()
{
NM p;
int i;
for ( i = 0; i < 1024; i++ ) {
p = (NM)MALLOC(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT));
p->next = _nm_free_list; _nm_free_list = p;
}
}
matrix alloc_matrix(int row,int col)
{
unsigned long **a;
int i,len,blen;
matrix mat;
mat = (matrix)MALLOC(sizeof(struct matrix));
mat->row = row;
mat->col = col;
mat->a = a = (unsigned long **)MALLOC(row*sizeof(unsigned long *));
return mat;
}
void _ND_alloc()
{
ND p;
int i;
for ( i = 0; i < 1024; i++ ) {
p = (ND)MALLOC(sizeof(struct oND));
p->body = (NM)_nd_free_list; _nd_free_list = p;
}
}
void _NDP_alloc()
{
ND_pairs p;
int i;
for ( i = 0; i < 1024; i++ ) {
p = (ND_pairs)MALLOC(sizeof(struct oND_pairs)
+(nd_wpd-1)*sizeof(UINT));
p->next = _ndp_free_list; _ndp_free_list = p;
}
}
INLINE int nd_length(ND p)
{
NM m;
int i;
if ( !p )
return 0;
else {
for ( i = 0, m = BDY(p); m; m = NEXT(m), i++ );
return i;
}
}
extern int dp_negative_weight;
INLINE int ndl_reducible(UINT *d1,UINT *d2)
{
UINT u1,u2;
int i,j;
if ( nd_module && (MPOS(d1) != MPOS(d2)) ) return 0;
if ( !dp_negative_weight && TD(d1) < TD(d2) ) return 0;
#if USE_UNROLL
switch ( nd_bpe ) {
case 3:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
if ( (u1&0x38000000) < (u2&0x38000000) ) return 0;
if ( (u1& 0x7000000) < (u2& 0x7000000) ) return 0;
if ( (u1& 0xe00000) < (u2& 0xe00000) ) return 0;
if ( (u1& 0x1c0000) < (u2& 0x1c0000) ) return 0;
if ( (u1& 0x38000) < (u2& 0x38000) ) return 0;
if ( (u1& 0x7000) < (u2& 0x7000) ) return 0;
if ( (u1& 0xe00) < (u2& 0xe00) ) return 0;
if ( (u1& 0x1c0) < (u2& 0x1c0) ) return 0;
if ( (u1& 0x38) < (u2& 0x38) ) return 0;
if ( (u1& 0x7) < (u2& 0x7) ) return 0;
}
return 1;
break;
case 4:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
if ( (u1&0xf0000000) < (u2&0xf0000000) ) return 0;
if ( (u1& 0xf000000) < (u2& 0xf000000) ) return 0;
if ( (u1& 0xf00000) < (u2& 0xf00000) ) return 0;
if ( (u1& 0xf0000) < (u2& 0xf0000) ) return 0;
if ( (u1& 0xf000) < (u2& 0xf000) ) return 0;
if ( (u1& 0xf00) < (u2& 0xf00) ) return 0;
if ( (u1& 0xf0) < (u2& 0xf0) ) return 0;
if ( (u1& 0xf) < (u2& 0xf) ) return 0;
}
return 1;
break;
case 6:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
if ( (u1&0x3f000000) < (u2&0x3f000000) ) return 0;
if ( (u1& 0xfc0000) < (u2& 0xfc0000) ) return 0;
if ( (u1& 0x3f000) < (u2& 0x3f000) ) return 0;
if ( (u1& 0xfc0) < (u2& 0xfc0) ) return 0;
if ( (u1& 0x3f) < (u2& 0x3f) ) return 0;
}
return 1;
break;
case 8:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
if ( (u1&0xff000000) < (u2&0xff000000) ) return 0;
if ( (u1& 0xff0000) < (u2& 0xff0000) ) return 0;
if ( (u1& 0xff00) < (u2& 0xff00) ) return 0;
if ( (u1& 0xff) < (u2& 0xff) ) return 0;
}
return 1;
break;
case 16:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
if ( (u1&0xffff0000) < (u2&0xffff0000) ) return 0;
if ( (u1& 0xffff) < (u2& 0xffff) ) return 0;
}
return 1;
break;
case 32:
for ( i = nd_exporigin; i < nd_wpd; i++ )
if ( d1[i] < d2[i] ) return 0;
return 1;
break;
default:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
for ( j = 0; j < nd_epw; j++ )
if ( (u1&nd_mask[j]) < (u2&nd_mask[j]) ) return 0;
}
return 1;
}
#else
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
for ( j = 0; j < nd_epw; j++ )
if ( (u1&nd_mask[j]) < (u2&nd_mask[j]) ) return 0;
}
return 1;
#endif
}
/*
* If the current order is a block order,
* then the last block is length 1 and contains
* the homo variable. Otherwise, the original
* order is either 0 or 2.
*/
void ndl_homogenize(UINT *d,UINT *r,int obpe,EPOS oepos,int ompos,int weight)
{
int w,i,e,n,omask0;
omask0 = obpe==32?0xffffffff:((1<<obpe)-1);
n = nd_nvar-1;
ndl_zero(r);
for ( i = 0; i < n; i++ ) {
e = GET_EXP_OLD(d,i);
PUT_EXP(r,i,e);
}
w = TD(d);
PUT_EXP(r,nd_nvar-1,weight-w);
if ( nd_module ) MPOS(r) = d[ompos];
TD(r) = weight;
if ( nd_blockmask ) ndl_weight_mask(r);
}
void ndl_dehomogenize(UINT *d)
{
UINT mask;
UINT h;
int i,bits;
if ( nd_blockmask ) {
h = GET_EXP(d,nd_nvar-1);
XOR_EXP(d,nd_nvar-1,h);
TD(d) -= h;
ndl_weight_mask(d);
} else {
if ( nd_isrlex ) {
if ( nd_bpe == 32 ) {
h = d[nd_exporigin];
for ( i = nd_exporigin+1; i < nd_wpd; i++ )
d[i-1] = d[i];
d[i-1] = 0;
TD(d) -= h;
} else {
bits = nd_epw*nd_bpe;
mask = bits==32?0xffffffff:((1<<(nd_epw*nd_bpe))-1);
h = (d[nd_exporigin]>>((nd_epw-1)*nd_bpe))&nd_mask0;
for ( i = nd_exporigin; i < nd_wpd; i++ )
d[i] = ((d[i]<<nd_bpe)&mask)
|(i+1<nd_wpd?((d[i+1]>>((nd_epw-1)*nd_bpe))&nd_mask0):0);
TD(d) -= h;
}
} else {
h = GET_EXP(d,nd_nvar-1);
XOR_EXP(d,nd_nvar-1,h);
TD(d) -= h;
}
}
}
void ndl_lcm(UINT *d1,unsigned *d2,UINT *d)
{
UINT t1,t2,u,u1,u2;
int i,j,l;
if ( nd_module && (MPOS(d1) != MPOS(d2)) )
error("ndl_lcm : inconsistent monomials");
#if USE_UNROLL
switch ( nd_bpe ) {
case 3:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
t1 = (u1&0x38000000); t2 = (u2&0x38000000); u = t1>t2?t1:t2;
t1 = (u1& 0x7000000); t2 = (u2& 0x7000000); u |= t1>t2?t1:t2;
t1 = (u1& 0xe00000); t2 = (u2& 0xe00000); u |= t1>t2?t1:t2;
t1 = (u1& 0x1c0000); t2 = (u2& 0x1c0000); u |= t1>t2?t1:t2;
t1 = (u1& 0x38000); t2 = (u2& 0x38000); u |= t1>t2?t1:t2;
t1 = (u1& 0x7000); t2 = (u2& 0x7000); u |= t1>t2?t1:t2;
t1 = (u1& 0xe00); t2 = (u2& 0xe00); u |= t1>t2?t1:t2;
t1 = (u1& 0x1c0); t2 = (u2& 0x1c0); u |= t1>t2?t1:t2;
t1 = (u1& 0x38); t2 = (u2& 0x38); u |= t1>t2?t1:t2;
t1 = (u1& 0x7); t2 = (u2& 0x7); u |= t1>t2?t1:t2;
d[i] = u;
}
break;
case 4:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
t1 = (u1&0xf0000000); t2 = (u2&0xf0000000); u = t1>t2?t1:t2;
t1 = (u1& 0xf000000); t2 = (u2& 0xf000000); u |= t1>t2?t1:t2;
t1 = (u1& 0xf00000); t2 = (u2& 0xf00000); u |= t1>t2?t1:t2;
t1 = (u1& 0xf0000); t2 = (u2& 0xf0000); u |= t1>t2?t1:t2;
t1 = (u1& 0xf000); t2 = (u2& 0xf000); u |= t1>t2?t1:t2;
t1 = (u1& 0xf00); t2 = (u2& 0xf00); u |= t1>t2?t1:t2;
t1 = (u1& 0xf0); t2 = (u2& 0xf0); u |= t1>t2?t1:t2;
t1 = (u1& 0xf); t2 = (u2& 0xf); u |= t1>t2?t1:t2;
d[i] = u;
}
break;
case 6:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
t1 = (u1&0x3f000000); t2 = (u2&0x3f000000); u = t1>t2?t1:t2;
t1 = (u1& 0xfc0000); t2 = (u2& 0xfc0000); u |= t1>t2?t1:t2;
t1 = (u1& 0x3f000); t2 = (u2& 0x3f000); u |= t1>t2?t1:t2;
t1 = (u1& 0xfc0); t2 = (u2& 0xfc0); u |= t1>t2?t1:t2;
t1 = (u1& 0x3f); t2 = (u2& 0x3f); u |= t1>t2?t1:t2;
d[i] = u;
}
break;
case 8:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
t1 = (u1&0xff000000); t2 = (u2&0xff000000); u = t1>t2?t1:t2;
t1 = (u1& 0xff0000); t2 = (u2& 0xff0000); u |= t1>t2?t1:t2;
t1 = (u1& 0xff00); t2 = (u2& 0xff00); u |= t1>t2?t1:t2;
t1 = (u1& 0xff); t2 = (u2& 0xff); u |= t1>t2?t1:t2;
d[i] = u;
}
break;
case 16:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
t1 = (u1&0xffff0000); t2 = (u2&0xffff0000); u = t1>t2?t1:t2;
t1 = (u1& 0xffff); t2 = (u2& 0xffff); u |= t1>t2?t1:t2;
d[i] = u;
}
break;
case 32:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
d[i] = u1>u2?u1:u2;
}
break;
default:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
for ( j = 0, u = 0; j < nd_epw; j++ ) {
t1 = (u1&nd_mask[j]); t2 = (u2&nd_mask[j]); u |= t1>t2?t1:t2;
}
d[i] = u;
}
break;
}
#else
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
for ( j = 0, u = 0; j < nd_epw; j++ ) {
t1 = (u1&nd_mask[j]); t2 = (u2&nd_mask[j]); u |= t1>t2?t1:t2;
}
d[i] = u;
}
#endif
if ( nd_module ) MPOS(d) = MPOS(d1);
TD(d) = ndl_weight(d);
if ( nd_blockmask ) ndl_weight_mask(d);
}
void ndl_max(UINT *d1,unsigned *d2,UINT *d)
{
UINT t1,t2,u,u1,u2;
int i,j,l;
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
for ( j = 0, u = 0; j < nd_epw; j++ ) {
t1 = (u1&nd_mask[j]); t2 = (u2&nd_mask[j]); u |= t1>t2?t1:t2;
}
d[i] = u;
}
}
int ndl_weight(UINT *d)
{
UINT t,u;
int i,j;
if ( current_dl_weight_vector )
for ( i = 0, t = 0; i < nd_nvar; i++ ) {
u = GET_EXP(d,i);
t += MUL_WEIGHT(u,i);
}
else
for ( t = 0, i = nd_exporigin; i < nd_wpd; i++ ) {
u = d[i];
for ( j = 0; j < nd_epw; j++, u>>=nd_bpe )
t += (u&nd_mask0);
}
if ( nd_module && nd_module_rank && MPOS(d) )
t += nd_module_weight[MPOS(d)-1];
for ( i = nd_exporigin; i < nd_wpd; i++ )
if ( d[i] && !t )
printf("afo\n");
return t;
}
/* for sugarweight */
int ndl_weight2(UINT *d)
{
int t,u;
int i,j;
for ( i = 0, t = 0; i < nd_nvar; i++ ) {
u = GET_EXP(d,i);
t += nd_sugarweight[i]*u;
}
if ( nd_module && nd_module_rank && MPOS(d) )
t += nd_module_weight[MPOS(d)-1];
return t;
}
void ndl_weight_mask(UINT *d)
{
UINT t,u;
UINT *mask;
int i,j,k,l;
l = nd_blockmask->n;
for ( k = 0; k < l; k++ ) {
mask = nd_blockmask->mask[k];
if ( current_dl_weight_vector )
for ( i = 0, t = 0; i < nd_nvar; i++ ) {
u = GET_EXP_MASK(d,i,mask);
t += MUL_WEIGHT(u,i);
}
else
for ( t = 0, i = nd_exporigin; i < nd_wpd; i++ ) {
u = d[i]&mask[i];
for ( j = 0; j < nd_epw; j++, u>>=nd_bpe )
t += (u&nd_mask0);
}
d[k+1] = t;
}
}
int ndl_glex_compare(UINT *d1,UINT *d2)
{
if ( TD(d1) > TD(d2) ) return 1;
else if ( TD(d1) < TD(d2) ) return -1;
else return ndl_lex_compare(d1,d2);
}
int ndl_lex_compare(UINT *d1,UINT *d2)
{
int i;
d1 += nd_exporigin;
d2 += nd_exporigin;
for ( i = nd_exporigin; i < nd_wpd; i++, d1++, d2++ )
if ( *d1 > *d2 )
return nd_isrlex ? -1 : 1;
else if ( *d1 < *d2 )
return nd_isrlex ? 1 : -1;
return 0;
}
int ndl_block_compare(UINT *d1,UINT *d2)
{
int i,l,j,ord_o,ord_l;
struct order_pair *op;
UINT t1,t2,m;
UINT *mask;
l = nd_blockmask->n;
op = nd_blockmask->order_pair;
for ( j = 0; j < l; j++ ) {
mask = nd_blockmask->mask[j];
ord_o = op[j].order;
if ( ord_o < 2 ) {
if ( (t1=d1[j+1]) > (t2=d2[j+1]) ) return 1;
else if ( t1 < t2 ) return -1;
}
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
m = mask[i];
t1 = d1[i]&m;
t2 = d2[i]&m;
if ( t1 > t2 )
return !ord_o ? -1 : 1;
else if ( t1 < t2 )
return !ord_o ? 1 : -1;
}
}
return 0;
}
int ndl_matrix_compare(UINT *d1,UINT *d2)
{
int i,j,s,row;
int *v;
Z **mat;
Z *w;
Z t1;
Z t,t2;
for ( j = 0; j < nd_nvar; j++ )
nd_work_vector[j] = GET_EXP(d1,j)-GET_EXP(d2,j);
if ( nd_top_weight ) {
if ( OID(nd_top_weight) == O_VECT ) {
mat = (Z **)&BDY((VECT)nd_top_weight);
row = 1;
} else {
mat = (Z **)BDY((MAT)nd_top_weight);
row = ((MAT)nd_top_weight)->row;
}
for ( i = 0; i < row; i++ ) {
w = mat[i];
for ( j = 0, t = 0; j < nd_nvar; j++ ) {
STOZ(nd_work_vector[j],t1);
mulz(w[j],t1,&t2);
addz(t,t2,&t1);
t = t1;
}
if ( t ) {
s = sgnz(t);
if ( s > 0 ) return 1;
else if ( s < 0 ) return -1;
}
}
}
for ( i = 0; i < nd_matrix_len; i++ ) {
v = nd_matrix[i];
for ( j = 0, s = 0; j < nd_nvar; j++ )
s += v[j]*nd_work_vector[j];
if ( s > 0 ) return 1;
else if ( s < 0 ) return -1;
}
if ( !ndl_equal(d1,d2) )
error("ndl_matrix_compare : invalid matrix");
return 0;
}
int ndl_composite_compare(UINT *d1,UINT *d2)
{
int i,j,s,start,end,len,o;
int *v;
struct sparse_weight *sw;
for ( j = 0; j < nd_nvar; j++ )
nd_work_vector[j] = GET_EXP(d1,j)-GET_EXP(d2,j);
for ( i = 0; i < nd_worb_len; i++ ) {
len = nd_worb[i].length;
switch ( nd_worb[i].type ) {
case IS_DENSE_WEIGHT:
v = nd_worb[i].body.dense_weight;
for ( j = 0, s = 0; j < len; j++ )
s += v[j]*nd_work_vector[j];
if ( s > 0 ) return 1;
else if ( s < 0 ) return -1;
break;
case IS_SPARSE_WEIGHT:
sw = nd_worb[i].body.sparse_weight;
for ( j = 0, s = 0; j < len; j++ )
s += sw[j].value*nd_work_vector[sw[j].pos];
if ( s > 0 ) return 1;
else if ( s < 0 ) return -1;
break;
case IS_BLOCK:
o = nd_worb[i].body.block.order;
start = nd_worb[i].body.block.start;
switch ( o ) {
case 0:
end = start+len;
for ( j = start, s = 0; j < end; j++ )
s += MUL_WEIGHT(nd_work_vector[j],j);
if ( s > 0 ) return 1;
else if ( s < 0 ) return -1;
for ( j = end-1; j >= start; j-- )
if ( nd_work_vector[j] < 0 ) return 1;
else if ( nd_work_vector[j] > 0 ) return -1;
break;
case 1:
end = start+len;
for ( j = start, s = 0; j < end; j++ )
s += MUL_WEIGHT(nd_work_vector[j],j);
if ( s > 0 ) return 1;
else if ( s < 0 ) return -1;
for ( j = start; j < end; j++ )
if ( nd_work_vector[j] > 0 ) return 1;
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;
break;
}
break;
}
}
return 0;
}
/* TDH -> WW -> TD-> RL */
int ndl_ww_lex_compare(UINT *d1,UINT *d2)
{
int i,m,e1,e2;
if ( TD(d1) > TD(d2) ) return 1;
else if ( TD(d1) < TD(d2) ) return -1;
m = nd_nvar>>1;
for ( i = 0, e1 = e2 = 0; i < m; i++ ) {
e1 += current_weyl_weight_vector[i]*(GET_EXP(d1,m+i)-GET_EXP(d1,i));
e2 += current_weyl_weight_vector[i]*(GET_EXP(d2,m+i)-GET_EXP(d2,i));
}
if ( e1 > e2 ) return 1;
else if ( e1 < e2 ) return -1;
return ndl_lex_compare(d1,d2);
}
// common function for module glex and grlex comparison
int ndl_module_glex_compare(UINT *d1,UINT *d2)
{
int c;
switch ( nd_module_ordtype ) {
case 0:
if ( TD(d1) > TD(d2) ) return 1;
else if ( TD(d1) < TD(d2) ) return -1;
else if ( (c = ndl_lex_compare(d1,d2)) != 0 ) return c;
else if ( MPOS(d1) < MPOS(d2) ) return 1;
else if ( MPOS(d1) > MPOS(d2) ) return -1;
else return 0;
break;
case 1:
if ( nd_pot_nelim && MPOS(d1)>=nd_pot_nelim+1 && MPOS(d2) >= nd_pot_nelim+1 ) {
if ( TD(d1) > TD(d2) ) return 1;
else if ( TD(d1) < TD(d2) ) return -1;
if ( (c = ndl_lex_compare(d1,d2)) != 0 ) return c;
if ( MPOS(d1) < MPOS(d2) ) return 1;
else if ( MPOS(d1) > MPOS(d2) ) return -1;
}
if ( MPOS(d1) < MPOS(d2) ) return 1;
else if ( MPOS(d1) > MPOS(d2) ) return -1;
else if ( TD(d1) > TD(d2) ) return 1;
else if ( TD(d1) < TD(d2) ) return -1;
else return ndl_lex_compare(d1,d2);
break;
case 2: // weight -> POT
if ( TD(d1) > TD(d2) ) return 1;
else if ( TD(d1) < TD(d2) ) return -1;
else if ( MPOS(d1) < MPOS(d2) ) return 1;
else if ( MPOS(d1) > MPOS(d2) ) return -1;
else return ndl_lex_compare(d1,d2);
break;
default:
error("ndl_module_glex_compare : invalid module_ordtype");
}
}
// common for module comparison
int ndl_module_compare(UINT *d1,UINT *d2)
{
int c;
switch ( nd_module_ordtype ) {
case 0:
if ( (c = ndl_lex_compare(d1,d2)) != 0 ) return c;
else if ( MPOS(d1) > MPOS(d2) ) return -1;
else if ( MPOS(d1) < MPOS(d2) ) return 1;
else return 0;
break;
case 1:
if ( MPOS(d1) < MPOS(d2) ) return 1;
else if ( MPOS(d1) > MPOS(d2) ) return -1;
else return (*ndl_base_compare_function)(d1,d2);
break;
case 2: // weight -> POT
if ( TD(d1) > TD(d2) ) return 1;
else if ( TD(d1) < TD(d2) ) return -1;
else if ( MPOS(d1) < MPOS(d2) ) return 1;
else if ( MPOS(d1) > MPOS(d2) ) return -1;
else return (*ndl_base_compare_function)(d1,d2);
break;
default:
error("ndl_module_compare : invalid module_ordtype");
}
}
extern DMMstack dmm_stack;
void _addtodl(int n,DL d1,DL d2);
int _eqdl(int n,DL d1,DL d2);
int ndl_module_schreyer_compare(UINT *m1,UINT *m2)
{
int pos1,pos2,t,j;
DMM *in;
DMMstack s;
static DL d1=0;
static DL d2=0;
static int dlen=0;
pos1 = MPOS(m1); pos2 = MPOS(m2);
if ( pos1 == pos2 ) return (*ndl_base_compare_function)(m1,m2);
if ( nd_nvar > dlen ) {
NEWDL(d1,nd_nvar);
NEWDL(d2,nd_nvar);
dlen = nd_nvar;
}
d1->td = TD(m1);
for ( j = 0; j < nd_nvar; j++ ) d1->d[j] = GET_EXP(m1,j);
d2->td = TD(m2);
for ( j = 0; j < nd_nvar; j++ ) d2->d[j] = GET_EXP(m2,j);
for ( s = dmm_stack; s; s = NEXT(s) ) {
in = s->in;
_addtodl(nd_nvar,in[pos1]->dl,d1);
_addtodl(nd_nvar,in[pos2]->dl,d2);
if ( in[pos1]->pos == in[pos2]->pos && _eqdl(nd_nvar,d1,d2)) {
if ( pos1 < pos2 ) return 1;
else if ( pos1 > pos2 ) return -1;
else return 0;
}
pos1 = in[pos1]->pos;
pos2 = in[pos2]->pos;
if ( pos1 == pos2 ) return (*dl_base_compare_function)(nd_nvar,d1,d2);
}
// comparison by the bottom order
LAST:
switch ( nd_base_ordtype ) {
case 0:
t = (*dl_base_compare_function)(nd_nvar,d1,d2);
if ( t ) return t;
else if ( pos1 < pos2 ) return 1;
else if ( pos1 > pos2 ) return -1;
else return 0;
break;
case 1:
if ( pos1 < pos2 ) return 1;
else if ( pos1 > pos2 ) return -1;
else return (*dl_base_compare_function)(nd_nvar,d1,d2);
break;
case 2:
if ( d1->td > d2->td ) return 1;
else if ( d1->td < d2->td ) return -1;
else if ( pos1 < pos2 ) return 1;
else if ( pos1 > pos2 ) return -1;
else return (*dl_base_compare_function)(nd_nvar,d1,d2);
break;
default:
error("ndl_schreyer_compare : invalid base ordtype");
}
}
INLINE int ndl_equal(UINT *d1,UINT *d2)
{
int i;
switch ( nd_wpd ) {
case 2:
if ( TD(d2) != TD(d1) ) return 0;
if ( d2[1] != d1[1] ) return 0;
return 1;
break;
case 3:
if ( TD(d2) != TD(d1) ) return 0;
if ( d2[1] != d1[1] ) return 0;
if ( d2[2] != d1[2] ) return 0;
return 1;
break;
default:
for ( i = 0; i < nd_wpd; i++ )
if ( *d1++ != *d2++ ) return 0;
return 1;
break;
}
}
INLINE void ndl_copy(UINT *d1,UINT *d2)
{
int i;
switch ( nd_wpd ) {
case 2:
TD(d2) = TD(d1);
d2[1] = d1[1];
break;
case 3:
TD(d2) = TD(d1);
d2[1] = d1[1];
d2[2] = d1[2];
break;
default:
for ( i = 0; i < nd_wpd; i++ )
d2[i] = d1[i];
break;
}
}
INLINE void ndl_zero(UINT *d)
{
int i;
for ( i = 0; i < nd_wpd; i++ ) d[i] = 0;
}
INLINE void ndl_add(UINT *d1,UINT *d2,UINT *d)
{
int i;
if ( nd_module ) {
if ( MPOS(d1) && MPOS(d2) && (MPOS(d1) != MPOS(d2)) )
error("ndl_add : invalid operation");
}
#if 1
switch ( nd_wpd ) {
case 2:
TD(d) = TD(d1)+TD(d2);
d[1] = d1[1]+d2[1];
break;
case 3:
TD(d) = TD(d1)+TD(d2);
d[1] = d1[1]+d2[1];
d[2] = d1[2]+d2[2];
break;
default:
for ( i = 0; i < nd_wpd; i++ ) d[i] = d1[i]+d2[i];
break;
}
#else
for ( i = 0; i < nd_wpd; i++ ) d[i] = d1[i]+d2[i];
#endif
}
/* d1 += d2 */
INLINE void ndl_addto(UINT *d1,UINT *d2)
{
int i;
if ( nd_module ) {
if ( MPOS(d1) && MPOS(d2) && (MPOS(d1) != MPOS(d2)) )
error("ndl_addto : invalid operation");
}
#if 1
switch ( nd_wpd ) {
case 2:
TD(d1) += TD(d2);
d1[1] += d2[1];
break;
case 3:
TD(d1) += TD(d2);
d1[1] += d2[1];
d1[2] += d2[2];
break;
default:
for ( i = 0; i < nd_wpd; i++ ) d1[i] += d2[i];
break;
}
#else
for ( i = 0; i < nd_wpd; i++ ) d1[i] += d2[i];
#endif
}
INLINE void ndl_sub(UINT *d1,UINT *d2,UINT *d)
{
int i;
for ( i = 0; i < nd_wpd; i++ ) d[i] = d1[i]-d2[i];
}
int ndl_disjoint(UINT *d1,UINT *d2)
{
UINT t1,t2,u,u1,u2;
int i,j;
if ( nd_module && (MPOS(d1) == MPOS(d2)) ) return 0;
#if USE_UNROLL
switch ( nd_bpe ) {
case 3:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
t1 = u1&0x38000000; t2 = u2&0x38000000; if ( t1&&t2 ) return 0;
t1 = u1& 0x7000000; t2 = u2& 0x7000000; if ( t1&&t2 ) return 0;
t1 = u1& 0xe00000; t2 = u2& 0xe00000; if ( t1&&t2 ) return 0;
t1 = u1& 0x1c0000; t2 = u2& 0x1c0000; if ( t1&&t2 ) return 0;
t1 = u1& 0x38000; t2 = u2& 0x38000; if ( t1&&t2 ) return 0;
t1 = u1& 0x7000; t2 = u2& 0x7000; if ( t1&&t2 ) return 0;
t1 = u1& 0xe00; t2 = u2& 0xe00; if ( t1&&t2 ) return 0;
t1 = u1& 0x1c0; t2 = u2& 0x1c0; if ( t1&&t2 ) return 0;
t1 = u1& 0x38; t2 = u2& 0x38; if ( t1&&t2 ) return 0;
t1 = u1& 0x7; t2 = u2& 0x7; if ( t1&&t2 ) return 0;
}
return 1;
break;
case 4:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
t1 = u1&0xf0000000; t2 = u2&0xf0000000; if ( t1&&t2 ) return 0;
t1 = u1& 0xf000000; t2 = u2& 0xf000000; if ( t1&&t2 ) return 0;
t1 = u1& 0xf00000; t2 = u2& 0xf00000; if ( t1&&t2 ) return 0;
t1 = u1& 0xf0000; t2 = u2& 0xf0000; if ( t1&&t2 ) return 0;
t1 = u1& 0xf000; t2 = u2& 0xf000; if ( t1&&t2 ) return 0;
t1 = u1& 0xf00; t2 = u2& 0xf00; if ( t1&&t2 ) return 0;
t1 = u1& 0xf0; t2 = u2& 0xf0; if ( t1&&t2 ) return 0;
t1 = u1& 0xf; t2 = u2& 0xf; if ( t1&&t2 ) return 0;
}
return 1;
break;
case 6:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
t1 = u1&0x3f000000; t2 = u2&0x3f000000; if ( t1&&t2 ) return 0;
t1 = u1& 0xfc0000; t2 = u2& 0xfc0000; if ( t1&&t2 ) return 0;
t1 = u1& 0x3f000; t2 = u2& 0x3f000; if ( t1&&t2 ) return 0;
t1 = u1& 0xfc0; t2 = u2& 0xfc0; if ( t1&&t2 ) return 0;
t1 = u1& 0x3f; t2 = u2& 0x3f; if ( t1&&t2 ) return 0;
}
return 1;
break;
case 8:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
t1 = u1&0xff000000; t2 = u2&0xff000000; if ( t1&&t2 ) return 0;
t1 = u1& 0xff0000; t2 = u2& 0xff0000; if ( t1&&t2 ) return 0;
t1 = u1& 0xff00; t2 = u2& 0xff00; if ( t1&&t2 ) return 0;
t1 = u1& 0xff; t2 = u2& 0xff; if ( t1&&t2 ) return 0;
}
return 1;
break;
case 16:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
t1 = u1&0xffff0000; t2 = u2&0xffff0000; if ( t1&&t2 ) return 0;
t1 = u1& 0xffff; t2 = u2& 0xffff; if ( t1&&t2 ) return 0;
}
return 1;
break;
case 32:
for ( i = nd_exporigin; i < nd_wpd; i++ )
if ( d1[i] && d2[i] ) return 0;
return 1;
break;
default:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
for ( j = 0; j < nd_epw; j++ ) {
if ( (u1&nd_mask0) && (u2&nd_mask0) ) return 0;
u1 >>= nd_bpe; u2 >>= nd_bpe;
}
}
return 1;
break;
}
#else
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u1 = d1[i]; u2 = d2[i];
for ( j = 0; j < nd_epw; j++ ) {
if ( (u1&nd_mask0) && (u2&nd_mask0) ) return 0;
u1 >>= nd_bpe; u2 >>= nd_bpe;
}
}
return 1;
#endif
}
int ndl_check_bound(UINT *d1,UINT *d2)
{
UINT u2;
int i,j,ind,k;
ind = 0;
#if USE_UNROLL
switch ( nd_bpe ) {
case 3:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u2 = d2[i];
if ( d1[ind++]+((u2>>27)&0x7) >= 0x8 ) return 1;
if ( d1[ind++]+((u2>>24)&0x7) >= 0x8 ) return 1;
if ( d1[ind++]+((u2>>21)&0x7) >= 0x8 ) return 1;
if ( d1[ind++]+((u2>>18)&0x7) >= 0x8 ) return 1;
if ( d1[ind++]+((u2>>15)&0x7) >= 0x8 ) return 1;
if ( d1[ind++]+((u2>>12)&0x7) >= 0x8 ) return 1;
if ( d1[ind++]+((u2>>9)&0x7) >= 0x8 ) return 1;
if ( d1[ind++]+((u2>>6)&0x7) >= 0x8 ) return 1;
if ( d1[ind++]+((u2>>3)&0x7) >= 0x8 ) return 1;
if ( d1[ind++]+(u2&0x7) >= 0x8 ) return 1;
}
return 0;
break;
case 4:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u2 = d2[i];
if ( d1[ind++]+((u2>>28)&0xf) >= 0x10 ) return 1;
if ( d1[ind++]+((u2>>24)&0xf) >= 0x10 ) return 1;
if ( d1[ind++]+((u2>>20)&0xf) >= 0x10 ) return 1;
if ( d1[ind++]+((u2>>16)&0xf) >= 0x10 ) return 1;
if ( d1[ind++]+((u2>>12)&0xf) >= 0x10 ) return 1;
if ( d1[ind++]+((u2>>8)&0xf) >= 0x10 ) return 1;
if ( d1[ind++]+((u2>>4)&0xf) >= 0x10 ) return 1;
if ( d1[ind++]+(u2&0xf) >= 0x10 ) return 1;
}
return 0;
break;
case 6:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u2 = d2[i];
if ( d1[ind++]+((u2>>24)&0x3f) >= 0x40 ) return 1;
if ( d1[ind++]+((u2>>18)&0x3f) >= 0x40 ) return 1;
if ( d1[ind++]+((u2>>12)&0x3f) >= 0x40 ) return 1;
if ( d1[ind++]+((u2>>6)&0x3f) >= 0x40 ) return 1;
if ( d1[ind++]+(u2&0x3f) >= 0x40 ) return 1;
}
return 0;
break;
case 8:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u2 = d2[i];
if ( d1[ind++]+((u2>>24)&0xff) >= 0x100 ) return 1;
if ( d1[ind++]+((u2>>16)&0xff) >= 0x100 ) return 1;
if ( d1[ind++]+((u2>>8)&0xff) >= 0x100 ) return 1;
if ( d1[ind++]+(u2&0xff) >= 0x100 ) return 1;
}
return 0;
break;
case 16:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u2 = d2[i];
if ( d1[ind++]+((u2>>16)&0xffff) > 0x10000 ) return 1;
if ( d1[ind++]+(u2&0xffff) > 0x10000 ) return 1;
}
return 0;
break;
case 32:
for ( i = nd_exporigin; i < nd_wpd; i++ )
if ( d1[i]+d2[i]<d1[i] ) return 1;
return 0;
break;
default:
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u2 = d2[i];
k = (nd_epw-1)*nd_bpe;
for ( j = 0; j < nd_epw; j++, k -= nd_bpe )
if ( d1[ind++]+((u2>>k)&nd_mask0) > nd_mask0 ) return 1;
}
return 0;
break;
}
#else
for ( i = nd_exporigin; i < nd_wpd; i++ ) {
u2 = d2[i];
k = (nd_epw-1)*nd_bpe;
for ( j = 0; j < nd_epw; j++, k -= nd_bpe )
if ( d1[ind++]+((u2>>k)&nd_mask0) > nd_mask0 ) return 1;
}
return 0;
#endif
}
int ndl_check_bound2(int index,UINT *d2)
{
return ndl_check_bound(nd_bound[index],d2);
}
INLINE int ndl_hash_value(UINT *d)
{
int i;
UINT r;
r = 0;
for ( i = 0; i < nd_wpd; i++ )
r = (r*1511+d[i]);
r %= REDTAB_LEN;
return r;
}
INLINE int ndl_find_reducer(UINT *dg)
{
RHist r;
int d,k,i;
d = ndl_hash_value(dg);
for ( r = nd_red[d], k = 0; r; r = NEXT(r), k++ ) {
if ( ndl_equal(dg,DL(r)) ) {
if ( k > 0 ) nd_notfirst++;
nd_found++;
return r->index;
}
}
if ( Reverse )
for ( i = nd_psn-1; i >= 0; i-- ) {
r = nd_psh[i];
if ( ndl_reducible(dg,DL(r)) ) {
nd_create++;
nd_append_red(dg,i);
return i;
}
}
else
for ( i = 0; i < nd_psn; i++ ) {
r = nd_psh[i];
if ( ndl_reducible(dg,DL(r)) ) {
nd_create++;
nd_append_red(dg,i);
return i;
}
}
return -1;
}
ND nd_merge(ND p1,ND p2)
{
int n,c;
int t,can,td1,td2;
ND r;
NM m1,m2,mr0,mr,s;
if ( !p1 ) return p2;
else if ( !p2 ) return p1;
else {
can = 0;
for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) {
c = DL_COMPARE(DL(m1),DL(m2));
switch ( c ) {
case 0:
s = m1; m1 = NEXT(m1);
can++; NEXTNM2(mr0,mr,s);
s = m2; m2 = NEXT(m2); FREENM(s);
break;
case 1:
s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s);
break;
case -1:
s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s);
break;
}
}
if ( !mr0 )
if ( m1 ) mr0 = m1;
else if ( m2 ) mr0 = m2;
else return 0;
else if ( m1 ) NEXT(mr) = m1;
else if ( m2 ) NEXT(mr) = m2;
else NEXT(mr) = 0;
BDY(p1) = mr0;
SG(p1) = MAX(SG(p1),SG(p2));
LEN(p1) = LEN(p1)+LEN(p2)-can;
FREEND(p2);
return p1;
}
}
ND nd_add(int mod,ND p1,ND p2)
{
int n,c;
int t,can,td1,td2;
ND r;
NM m1,m2,mr0,mr,s;
Nnd_add++;
if ( !p1 ) return p2;
else if ( !p2 ) return p1;
else if ( mod == -1 ) return nd_add_sf(p1,p2);
else if ( mod == -2 ) return nd_add_lf(p1,p2);
else if ( !mod ) return nd_add_q(p1,p2);
else {
can = 0;
for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) {
c = DL_COMPARE(DL(m1),DL(m2));
switch ( c ) {
case 0:
t = ((CM(m1))+(CM(m2))) - mod;
if ( t < 0 ) t += mod;
s = m1; m1 = NEXT(m1);
if ( t ) {
can++; NEXTNM2(mr0,mr,s); CM(mr) = (t);
} else {
can += 2; FREENM(s);
}
s = m2; m2 = NEXT(m2); FREENM(s);
break;
case 1:
s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s);
break;
case -1:
s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s);
break;
}
}
if ( !mr0 )
if ( m1 ) mr0 = m1;
else if ( m2 ) mr0 = m2;
else return 0;
else if ( m1 ) NEXT(mr) = m1;
else if ( m2 ) NEXT(mr) = m2;
else NEXT(mr) = 0;
BDY(p1) = mr0;
SG(p1) = MAX(SG(p1),SG(p2));
LEN(p1) = LEN(p1)+LEN(p2)-can;
FREEND(p2);
return p1;
}
}
/* XXX on opteron, the inlined manipulation of destructive additon of
* two NM seems to make gcc optimizer get confused, so the part is
* done in a function.
*/
int nm_destructive_add_q(NM *m1,NM *m2,NM *mr0,NM *mr)
{
NM s;
P t;
int can;
addp(nd_vc,CP(*m1),CP(*m2),&t);
s = *m1; *m1 = NEXT(*m1);
if ( t ) {
can = 1; NEXTNM2(*mr0,*mr,s); CP(*mr) = (t);
} else {
can = 2; FREENM(s);
}
s = *m2; *m2 = NEXT(*m2); FREENM(s);
return can;
}
ND nd_add_q(ND p1,ND p2)
{
int n,c,can;
ND r;
NM m1,m2,mr0,mr,s;
P t;
if ( !p1 ) return p2;
else if ( !p2 ) return p1;
else {
can = 0;
for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) {
c = DL_COMPARE(DL(m1),DL(m2));
switch ( c ) {
case 0:
#if defined(__x86_64__)
can += nm_destructive_add_q(&m1,&m2,&mr0,&mr);
#else
addp(nd_vc,CP(m1),CP(m2),&t);
s = m1; m1 = NEXT(m1);
if ( t ) {
can++; NEXTNM2(mr0,mr,s); CP(mr) = (t);
} else {
can += 2; FREENM(s);
}
s = m2; m2 = NEXT(m2); FREENM(s);
#endif
break;
case 1:
s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s);
break;
case -1:
s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s);
break;
}
}
if ( !mr0 )
if ( m1 ) mr0 = m1;
else if ( m2 ) mr0 = m2;
else return 0;
else if ( m1 ) NEXT(mr) = m1;
else if ( m2 ) NEXT(mr) = m2;
else NEXT(mr) = 0;
BDY(p1) = mr0;
SG(p1) = MAX(SG(p1),SG(p2));
LEN(p1) = LEN(p1)+LEN(p2)-can;
FREEND(p2);
return p1;
}
}
ND nd_add_sf(ND p1,ND p2)
{
int n,c,can;
ND r;
NM m1,m2,mr0,mr,s;
int t;
if ( !p1 ) return p2;
else if ( !p2 ) return p1;
else {
can = 0;
for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) {
c = DL_COMPARE(DL(m1),DL(m2));
switch ( c ) {
case 0:
t = _addsf(CM(m1),CM(m2));
s = m1; m1 = NEXT(m1);
if ( t ) {
can++; NEXTNM2(mr0,mr,s); CM(mr) = (t);
} else {
can += 2; FREENM(s);
}
s = m2; m2 = NEXT(m2); FREENM(s);
break;
case 1:
s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s);
break;
case -1:
s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s);
break;
}
}
if ( !mr0 )
if ( m1 ) mr0 = m1;
else if ( m2 ) mr0 = m2;
else return 0;
else if ( m1 ) NEXT(mr) = m1;
else if ( m2 ) NEXT(mr) = m2;
else NEXT(mr) = 0;
BDY(p1) = mr0;
SG(p1) = MAX(SG(p1),SG(p2));
LEN(p1) = LEN(p1)+LEN(p2)-can;
FREEND(p2);
return p1;
}
}
ND nd_reduce2(int mod,ND d,ND g,NDV p,NM mul,NDC dn,Obj *divp)
{
int c,c1,c2;
Z cg,cred,gcd,tq;
P cgp,credp,gcdp;
Obj tr,tr1;
if ( mod == -1 ) {
CM(mul) = _mulsf(_invsf(HCM(p)),_chsgnsf(HCM(g)));
*divp = (Obj)ONE;
} else if ( mod == -2 ) {
Z inv,t;
divlf(ONE,HCZ(p),&inv);
chsgnlf(HCZ(g),&t);
mullf(inv,t,&CZ(mul));
*divp = (Obj)ONE;
} else if ( mod ) {
c1 = invm(HCM(p),mod); c2 = mod-HCM(g);
DMAR(c1,c2,0,mod,c); CM(mul) = c;
*divp = (Obj)ONE;
} else if ( nd_vc ) {
ezgcdpz(nd_vc,HCP(g),HCP(p),&gcdp);
divsp(nd_vc,HCP(g),gcdp,&cgp); divsp(nd_vc,HCP(p),gcdp,&credp);
chsgnp(cgp,&CP(mul));
nd_mul_c_q(d,credp); nd_mul_c_q(g,credp);
if ( dn ) {
mulr(nd_vc,(Obj)dn->r,(Obj)credp,&tr);
reductr(nd_vc,tr,&tr1); dn->r = (R)tr1;
}
*divp = (Obj)credp;
} else {
igcd_cofactor(HCZ(g),HCZ(p),&gcd,&cg,&cred);
chsgnz(cg,&CZ(mul));
nd_mul_c_q(d,(P)cred); nd_mul_c_q(g,(P)cred);
if ( dn ) {
mulz(dn->z,cred,&tq); dn->z = tq;
}
*divp = (Obj)cred;
}
return nd_add(mod,g,ndv_mul_nm(mod,mul,p));
}
/* ret=1 : success, ret=0 : overflow */
int nd_nf(int mod,ND d,ND g,NDV *ps,int full,ND *rp)
{
NM m,mrd,tail;
NM mul;
int n,sugar,psugar,sugar0,stat,index;
int c,c1,c2,dummy;
RHist h;
NDV p,red;
Q cg,cred,gcd,tq,qq;
Z iq;
DP dmul;
NODE node;
LIST hist;
double hmag;
P tp,tp1;
Obj tr,tr1,div;
union oNDC hg;
P cont;
if ( !g ) {
*rp = d;
return 1;
}
if ( !mod ) hmag = ((double)p_mag(HCP(g)))*nd_scale;
sugar0 = sugar = SG(g);
n = NV(g);
mul = (NM)MALLOC(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT));
if ( d )
for ( tail = BDY(d); NEXT(tail); tail = NEXT(tail) );
for ( ; g; ) {
index = ndl_find_reducer(HDL(g));
if ( index >= 0 ) {
h = nd_psh[index];
ndl_sub(HDL(g),DL(h),DL(mul));
if ( ndl_check_bound2(index,DL(mul)) ) {
nd_free(g); nd_free(d);
return 0;
}
p = nd_demand ? ndv_load(index) : ps[index];
/* d+g -> div*(d+g)+mul*p */
g = nd_reduce2(mod,d,g,p,mul,0,&div);
if ( nd_gentrace ) {
/* Trace=[div,index,mul,ONE] */
STOZ(index,iq);
nmtodp(mod,mul,&dmul);
node = mknode(4,div,iq,dmul,ONE);
}
sugar = MAX(sugar,SG(p)+TD(DL(mul)));
if ( !mod && g && !nd_vc && ((double)(p_mag(HCP(g))) > hmag) ) {
hg = HCU(g);
nd_removecont2(d,g);
if ( nd_gentrace ) {
/* overwrite cont : Trace=[div,index,mul,cont] */
/* exact division */
cont = ndc_div(mod,hg,HCU(g));
if ( nd_gentrace && !UNIQ(cont) ) ARG3(node) = (pointer)cont;
}
hmag = ((double)p_mag(HCP(g)))*nd_scale;
}
MKLIST(hist,node);
MKNODE(node,hist,nd_tracelist); nd_tracelist = node;
} else if ( !full ) {
*rp = g;
return 1;
} else {
m = BDY(g);
if ( NEXT(m) ) {
BDY(g) = NEXT(m); NEXT(m) = 0; LEN(g)--;
} else {
FREEND(g); g = 0;
}
if ( d ) {
NEXT(tail)=m; tail=m; LEN(d)++;
} else {
MKND(n,m,1,d); tail = BDY(d);
}
}
}
if ( d ) SG(d) = sugar;
*rp = d;
return 1;
}
int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *rp)
{
int hindex,index;
NDV p;
ND u,d,red;
NODE l;
NM mul,m,mrd,tail;
int sugar,psugar,n,h_reducible;
PGeoBucket bucket;
int c,c1,c2;
Z cg,cred,gcd,zzz;
RHist h;
double hmag,gmag;
int count = 0;
int hcount = 0;
if ( !g ) {
*rp = 0;
return 1;
}
sugar = SG(g);
n = NV(g);
if ( !mod ) hmag = ((double)p_mag((P)HCZ(g)))*nd_scale;
bucket = create_pbucket();
add_pbucket(mod,bucket,g);
d = 0;
mul = (NM)MALLOC(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT));
while ( 1 ) {
if ( mod > 0 || mod == -1 )
hindex = head_pbucket(mod,bucket);
else if ( mod == -2 )
hindex = head_pbucket_lf(bucket);
else
hindex = head_pbucket_q(bucket);
if ( hindex < 0 ) {
if ( DP_Print > 3 ) printf("(%d %d)",count,hcount);
if ( d ) SG(d) = sugar;
*rp = d;
return 1;
}
g = bucket->body[hindex];
index = ndl_find_reducer(HDL(g));
if ( index >= 0 ) {
count++;
if ( !d ) hcount++;
h = nd_psh[index];
ndl_sub(HDL(g),DL(h),DL(mul));
if ( ndl_check_bound2(index,DL(mul)) ) {
nd_free(d);
free_pbucket(bucket);
*rp = 0;
return 0;
}
p = ps[index];
if ( mod == -1 )
CM(mul) = _mulsf(_invsf(HCM(p)),_chsgnsf(HCM(g)));
else if ( mod == -2 ) {
Z inv,t;
divlf(ONE,HCZ(p),&inv);
chsgnlf(HCZ(g),&t);
mullf(inv,t,&CZ(mul));
} else if ( mod ) {
c1 = invm(HCM(p),mod); c2 = mod-HCM(g);
DMAR(c1,c2,0,mod,c); CM(mul) = c;
} else {
igcd_cofactor(HCZ(g),HCZ(p),&gcd,&cg,&cred);
chsgnz(cg,&CZ(mul));
nd_mul_c_q(d,(P)cred);
mulq_pbucket(bucket,cred);
g = bucket->body[hindex];
gmag = (double)p_mag((P)HCZ(g));
}
red = ndv_mul_nm(mod,mul,p);
bucket->body[hindex] = nd_remove_head(g);
red = nd_remove_head(red);
add_pbucket(mod,bucket,red);
psugar = SG(p)+TD(DL(mul));
sugar = MAX(sugar,psugar);
if ( !mod && hmag && (gmag > hmag) ) {
g = normalize_pbucket(mod,bucket);
if ( !g ) {
if ( d ) SG(d) = sugar;
*rp = d;
return 1;
}
nd_removecont2(d,g);
hmag = ((double)p_mag((P)HCZ(g)))*nd_scale;
add_pbucket(mod,bucket,g);
}
} else if ( !full ) {
g = normalize_pbucket(mod,bucket);
if ( g ) SG(g) = sugar;
*rp = g;
return 1;
} else {
m = BDY(g);
if ( NEXT(m) ) {
BDY(g) = NEXT(m); NEXT(m) = 0; LEN(g)--;
} else {
FREEND(g); g = 0;
}
bucket->body[hindex] = g;
NEXT(m) = 0;
if ( d ) {
NEXT(tail)=m; tail=m; LEN(d)++;
} else {
MKND(n,m,1,d); tail = BDY(d);
}
}
}
}
/* input : list of NDV, cand : list of NDV */
int ndv_check_membership(int m,NODE input,int obpe,int oadv,EPOS oepos,NODE cand)
{
int n,i,stat;
ND nf,d;
NDV r;
NODE t,s;
union oNDC dn;
Z q;
LIST list;
ndv_setup(m,0,cand,nd_gentrace?1:0,1);
n = length(cand);
if ( nd_gentrace ) { nd_alltracelist = 0; nd_tracelist = 0; }
/* membercheck : list is a subset of Id(cand) ? */
for ( t = input, i = 0; t; t = NEXT(t), i++ ) {
again:
nd_tracelist = 0;
if ( nd_bpe > obpe )
r = ndv_dup_realloc((NDV)BDY(t),obpe,oadv,oepos);
else
r = (NDV)BDY(t);
#if 0
// moved to nd_f4_lf_trace()
if ( m == -2 ) ndv_mod(m,r);
#endif
d = ndvtond(m,r);
stat = nd_nf(m,0,d,nd_ps,0,&nf);
if ( !stat ) {
nd_reconstruct(0,0);
goto again;
} else if ( nf ) return 0;
if ( nd_gentrace ) {
nd_tracelist = reverse_node(nd_tracelist);
MKLIST(list,nd_tracelist);
STOZ(i,q); s = mknode(2,q,list); MKLIST(list,s);
MKNODE(s,list,nd_alltracelist);
nd_alltracelist = s; nd_tracelist = 0;
}
if ( DP_Print ) { printf("."); fflush(stdout); }
}
if ( DP_Print ) { printf("\n"); }
return 1;
}
ND nd_remove_head(ND p)
{
NM m;
m = BDY(p);
if ( !NEXT(m) ) {
FREEND(p); p = 0;
} else {
BDY(p) = NEXT(m); LEN(p)--;
}
FREENM(m);
return p;
}
ND nd_separate_head(ND p,ND *head)
{
NM m,m0;
ND r;
m = BDY(p);
if ( !NEXT(m) ) {
*head = p; p = 0;
} else {
m0 = m;
BDY(p) = NEXT(m); LEN(p)--;
NEXT(m0) = 0;
MKND(NV(p),m0,1,r);
*head = r;
}
return p;
}
PGeoBucket create_pbucket()
{
PGeoBucket g;
g = CALLOC(1,sizeof(struct oPGeoBucket));
g->m = -1;
return g;
}
void free_pbucket(PGeoBucket b) {
int i;
for ( i = 0; i <= b->m; i++ )
if ( b->body[i] ) {
nd_free(b->body[i]);
b->body[i] = 0;
}
GCFREE(b);
}
void add_pbucket_symbolic(PGeoBucket g,ND d)
{
int l,i,k,m;
if ( !d )
return;
l = LEN(d);
for ( k = 0, m = 1; l > m; k++, m <<= 1 );
/* 2^(k-1) < l <= 2^k (=m) */
d = nd_merge(g->body[k],d);
for ( ; d && LEN(d) > m; k++, m <<= 1 ) {
g->body[k] = 0;
d = nd_merge(g->body[k+1],d);
}
g->body[k] = d;
g->m = MAX(g->m,k);
}
void add_pbucket(int mod,PGeoBucket g,ND d)
{
int l,i,k,m;
if ( !d )
return;
l = LEN(d);
for ( k = 0, m = 1; l > m; k++, m <<= 1 );
/* 2^(k-1) < l <= 2^k (=m) */
d = nd_add(mod,g->body[k],d);
for ( ; d && LEN(d) > m; k++, m <<= 1 ) {
g->body[k] = 0;
d = nd_add(mod,g->body[k+1],d);
}
g->body[k] = d;
g->m = MAX(g->m,k);
}
void mulq_pbucket(PGeoBucket g,Z c)
{
int k;
for ( k = 0; k <= g->m; k++ )
nd_mul_c_q(g->body[k],(P)c);
}
NM remove_head_pbucket_symbolic(PGeoBucket g)
{
int j,i,k,c;
NM head;
k = g->m;
j = -1;
for ( i = 0; i <= k; i++ ) {
if ( !g->body[i] ) continue;
if ( j < 0 ) j = i;
else {
c = DL_COMPARE(HDL(g->body[i]),HDL(g->body[j]));
if ( c > 0 )
j = i;
else if ( c == 0 )
g->body[i] = nd_remove_head(g->body[i]);
}
}
if ( j < 0 ) return 0;
else {
head = BDY(g->body[j]);
if ( !NEXT(head) ) {
FREEND(g->body[j]);
g->body[j] = 0;
} else {
BDY(g->body[j]) = NEXT(head);
LEN(g->body[j])--;
}
return head;
}
}
int head_pbucket(int mod,PGeoBucket g)
{
int j,i,c,k,nv,sum;
UINT *di,*dj;
ND gi,gj;
k = g->m;
while ( 1 ) {
j = -1;
for ( i = 0; i <= k; i++ ) {
if ( !(gi = g->body[i]) )
continue;
if ( j < 0 ) {
j = i;
gj = g->body[j];
dj = HDL(gj);
sum = HCM(gj);
} else {
c = DL_COMPARE(HDL(gi),dj);
if ( c > 0 ) {
if ( sum ) HCM(gj) = sum;
else g->body[j] = nd_remove_head(gj);
j = i;
gj = g->body[j];
dj = HDL(gj);
sum = HCM(gj);
} else if ( c == 0 ) {
if ( mod == -1 )
sum = _addsf(sum,HCM(gi));
else {
sum = sum+HCM(gi)-mod;
if ( sum < 0 ) sum += mod;
}
g->body[i] = nd_remove_head(gi);
}
}
}
if ( j < 0 ) return -1;
else if ( sum ) {
HCM(gj) = sum;
return j;
} else
g->body[j] = nd_remove_head(gj);
}
}
int head_pbucket_q(PGeoBucket g)
{
int j,i,c,k,nv;
Z sum,t;
ND gi,gj;
k = g->m;
while ( 1 ) {
j = -1;
for ( i = 0; i <= k; i++ ) {
if ( !(gi = g->body[i]) ) continue;
if ( j < 0 ) {
j = i;
gj = g->body[j];
sum = HCZ(gj);
} else {
nv = NV(gi);
c = DL_COMPARE(HDL(gi),HDL(gj));
if ( c > 0 ) {
if ( sum ) HCZ(gj) = sum;
else g->body[j] = nd_remove_head(gj);
j = i;
gj = g->body[j];
sum = HCZ(gj);
} else if ( c == 0 ) {
addz(sum,HCZ(gi),&t);
sum = t;
g->body[i] = nd_remove_head(gi);
}
}
}
if ( j < 0 ) return -1;
else if ( sum ) {
HCZ(gj) = sum;
return j;
} else
g->body[j] = nd_remove_head(gj);
}
}
int head_pbucket_lf(PGeoBucket g)
{
int j,i,c,k,nv;
Z sum,t;
ND gi,gj;
k = g->m;
while ( 1 ) {
j = -1;
for ( i = 0; i <= k; i++ ) {
if ( !(gi = g->body[i]) ) continue;
if ( j < 0 ) {
j = i;
gj = g->body[j];
sum = HCZ(gj);
} else {
nv = NV(gi);
c = DL_COMPARE(HDL(gi),HDL(gj));
if ( c > 0 ) {
if ( sum ) HCZ(gj) = sum;
else g->body[j] = nd_remove_head(gj);
j = i;
gj = g->body[j];
sum = HCZ(gj);
} else if ( c == 0 ) {
addlf(sum,HCZ(gi),&t);
sum = t;
g->body[i] = nd_remove_head(gi);
}
}
}
if ( j < 0 ) return -1;
else if ( sum ) {
HCZ(gj) = sum;
return j;
} else
g->body[j] = nd_remove_head(gj);
}
}
ND normalize_pbucket(int mod,PGeoBucket g)
{
int i;
ND r,t;
r = 0;
for ( i = 0; i <= g->m; i++ ) {
r = nd_add(mod,r,g->body[i]);
g->body[i] = 0;
}
g->m = -1;
return r;
}
#if 0
void register_hcf(NDV p)
{
DCP dc,t;
P hc,h;
int c;
NODE l,l1,prev;
hc = p->body->c.p;
if ( !nd_vc || NUM(hc) ) return;
fctrp(nd_vc,hc,&dc);
for ( t = dc; t; t = NEXT(t) ) {
h = t->c;
if ( NUM(h) ) continue;
for ( prev = 0, l = nd_hcf; l; prev = l, l = NEXT(l) ) {
c = compp(nd_vc,h,(P)BDY(l));
if ( c >= 0 ) break;
}
if ( !l || c > 0 ) {
MKNODE(l1,h,l);
if ( !prev )
nd_hcf = l1;
else
NEXT(prev) = l1;
}
}
}
#else
void register_hcf(NDV p)
{
DCP dc,t;
P hc,h,q;
Q dmy;
int c;
NODE l,l1,prev;
hc = p->body->c.p;
if ( NUM(hc) ) return;
ptozp(hc,1,&dmy,&h);
#if 1
for ( l = nd_hcf; l; l = NEXT(l) ) {
while ( 1 ) {
if ( divtpz(nd_vc,h,(P)BDY(l),&q) ) h = q;
else break;
}
}
if ( NUM(h) ) return;
#endif
for ( prev = 0, l = nd_hcf; l; prev = l, l = NEXT(l) ) {
c = compp(nd_vc,h,(P)BDY(l));
if ( c >= 0 ) break;
}
if ( !l || c > 0 ) {
MKNODE(l1,h,l);
if ( !prev )
nd_hcf = l1;
else
NEXT(prev) = l1;
}
}
#endif
int do_diagonalize(int sugar,int m)
{
int i,nh,stat;
NODE r,g,t;
ND h,nf,s,head;
NDV nfv;
Q q;
P nm,nmp,dn,mnp,dnp,cont,cont1;
union oNDC hc;
NODE node;
LIST l;
Z iq;
for ( i = nd_psn-1; i >= 0 && SG(nd_psh[i]) == sugar; i-- ) {
if ( nd_gentrace ) {
/* Trace = [1,index,1,1] */
STOZ(i,iq); node = mknode(4,ONE,iq,ONE,ONE);
MKLIST(l,node); MKNODE(nd_tracelist,l,0);
}
if ( nd_demand )
nfv = ndv_load(i);
else
nfv = nd_ps[i];
s = ndvtond(m,nfv);
s = nd_separate_head(s,&head);
stat = nd_nf(m,head,s,nd_ps,1,&nf);
if ( !stat ) return 0;
ndv_free(nfv);
hc = HCU(nf); nd_removecont(m,nf);
/* exact division */
cont = ndc_div(m,hc,HCU(nf));
if ( nd_gentrace ) finalize_tracelist(i,cont);
nfv = ndtondv(m,nf);
nd_free(nf);
nd_bound[i] = ndv_compute_bound(nfv);
if ( !m ) register_hcf(nfv);
if ( nd_demand ) {
ndv_save(nfv,i);
ndv_free(nfv);
} else
nd_ps[i] = nfv;
}
return 1;
}
LIST compute_splist()
{
NODE g,tn0,tn,node;
LIST l0;
ND_pairs d,t;
int i;
Z i1,i2;
g = 0; d = 0;
for ( i = 0; i < nd_psn; i++ ) {
d = update_pairs(d,g,i,0);
g = update_base(g,i);
}
for ( t = d, tn0 = 0; t; t = NEXT(t) ) {
NEXTNODE(tn0,tn);
STOZ(t->i1,i1); STOZ(t->i2,i2);
node = mknode(2,i1,i2); MKLIST(l0,node);
BDY(tn) = l0;
}
if ( tn0 ) NEXT(tn) = 0; MKLIST(l0,tn0);
return l0;
}
/* return value = 0 => input is not a GB */
NODE nd_gb(int m,int ishomo,int checkonly,int gensyz,int **indp)
{
int i,nh,sugar,stat;
NODE r,g,t;
ND_pairs d;
ND_pairs l;
ND h,nf,s,head,nf1;
NDV nfv;
Z q;
union oNDC dn,hc;
int diag_count = 0;
P cont;
LIST list;
Nnd_add = 0;
g = 0; d = 0;
for ( i = 0; i < nd_psn; i++ ) {
d = update_pairs(d,g,i,gensyz);
g = update_base(g,i);
}
sugar = 0;
while ( d ) {
again:
l = nd_minp(d,&d);
if ( MaxDeg > 0 && SG(l) > MaxDeg ) break;
if ( SG(l) != sugar ) {
if ( ishomo ) {
diag_count = 0;
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);
}
stat = nd_sp(m,0,l,&h);
if ( !stat ) {
NEXT(l) = d; d = l;
d = nd_reconstruct(0,d);
goto again;
}
#if USE_GEOBUCKET
stat = (m&&!nd_gentrace)?nd_nf_pbucket(m,h,nd_ps,!Top,&nf)
:nd_nf(m,0,h,nd_ps,!Top,&nf);
#else
stat = nd_nf(m,0,h,nd_ps,!Top,&nf);
#endif
if ( !stat ) {
NEXT(l) = d; d = l;
d = nd_reconstruct(0,d);
goto again;
} else if ( nf ) {
if ( checkonly || gensyz ) return 0;
if ( nd_newelim ) {
if ( nd_module ) {
if ( MPOS(HDL(nf)) > 1 ) return 0;
} else if ( !(HDL(nf)[nd_exporigin] & nd_mask[0]) ) return 0;
}
if ( DP_Print ) { printf("+"); fflush(stdout); }
hc = HCU(nf);
nd_removecont(m,nf);
if ( !m && nd_nalg ) {
nd_monic(0,&nf);
nd_removecont(m,nf);
}
if ( nd_gentrace ) {
/* exact division */
cont = ndc_div(m,hc,HCU(nf));
if ( m || !UNIQ(cont) ) {
t = mknode(4,NULLP,NULLP,NULLP,cont);
MKLIST(list,t); MKNODE(t,list,nd_tracelist);
nd_tracelist = t;
}
}
nfv = ndtondv(m,nf); nd_free(nf);
nh = ndv_newps(m,nfv,0,0);
if ( !m && (ishomo && ++diag_count == diag_period) ) {
diag_count = 0;
stat = do_diagonalize(sugar,m);
if ( !stat ) {
NEXT(l) = d; d = l;
d = nd_reconstruct(1,d);
goto again;
}
}
d = update_pairs(d,g,nh,0);
g = update_base(g,nh);
FREENDP(l);
} else {
if ( nd_gentrace && gensyz ) {
nd_tracelist = reverse_node(nd_tracelist);
MKLIST(list,nd_tracelist);
STOZ(-1,q); t = mknode(2,q,list); MKLIST(list,t);
MKNODE(t,list,nd_alltracelist);
nd_alltracelist = t; nd_tracelist = 0;
}
if ( DP_Print ) { printf("."); fflush(stdout); }
FREENDP(l);
}
}
conv_ilist(nd_demand,0,g,indp);
if ( !checkonly && DP_Print ) { printf("nd_gb done. Number of nd_add=%d\n",Nnd_add); fflush(stdout); }
return g;
}
/* splist = [[i1,i2],...] */
int check_splist(int m,NODE splist)
{
NODE t,p;
ND_pairs d,r,l;
int stat;
ND h,nf;
for ( d = 0, t = splist; t; t = NEXT(t) ) {
p = BDY((LIST)BDY(t));
NEXTND_pairs(d,r);
r->i1 = ZTOS((Q)ARG0(p)); r->i2 = ZTOS((Q)ARG1(p));
ndl_lcm(DL(nd_psh[r->i1]),DL(nd_psh[r->i2]),r->lcm);
SG(r) = TD(LCM(r)); /* XXX */
}
if ( d ) NEXT(r) = 0;
while ( d ) {
again:
l = nd_minp(d,&d);
stat = nd_sp(m,0,l,&h);
if ( !stat ) {
NEXT(l) = d; d = l;
d = nd_reconstruct(0,d);
goto again;
}
stat = nd_nf(m,0,h,nd_ps,!Top,&nf);
if ( !stat ) {
NEXT(l) = d; d = l;
d = nd_reconstruct(0,d);
goto again;
} else if ( nf ) return 0;
if ( DP_Print) { printf("."); fflush(stdout); }
}
if ( DP_Print) { printf("done.\n"); fflush(stdout); }
return 1;
}
int check_splist_f4(int m,NODE splist)
{
UINT *s0vect;
PGeoBucket bucket;
NODE p,rp0,t;
ND_pairs d,r,l,ll;
int col,stat;
for ( d = 0, t = splist; t; t = NEXT(t) ) {
p = BDY((LIST)BDY(t));
NEXTND_pairs(d,r);
r->i1 = ZTOS((Q)ARG0(p)); r->i2 = ZTOS((Q)ARG1(p));
ndl_lcm(DL(nd_psh[r->i1]),DL(nd_psh[r->i2]),r->lcm);
SG(r) = TD(LCM(r)); /* XXX */
}
if ( d ) NEXT(r) = 0;
while ( d ) {
l = nd_minsugarp(d,&d);
bucket = create_pbucket();
stat = nd_sp_f4(m,0,l,bucket);
if ( !stat ) {
for ( ll = l; NEXT(ll); ll = NEXT(ll) );
NEXT(ll) = d; d = l;
d = nd_reconstruct(0,d);
continue;
}
if ( bucket->m < 0 ) continue;
col = nd_symbolic_preproc(bucket,0,&s0vect,&rp0);
if ( !col ) {
for ( ll = l; NEXT(ll); ll = NEXT(ll) );
NEXT(ll) = d; d = l;
d = nd_reconstruct(0,d);
continue;
}
if ( nd_f4_red(m,l,0,s0vect,col,rp0,0) ) return 0;
}
return 1;
}
int do_diagonalize_trace(int sugar,int m)
{
int i,nh,stat;
NODE r,g,t;
ND h,nf,nfq,s,head;
NDV nfv,nfqv;
Q q,den,num;
union oNDC hc;
NODE node;
LIST l;
Z iq;
P cont,cont1;
for ( i = nd_psn-1; i >= 0 && SG(nd_psh[i]) == sugar; i-- ) {
if ( nd_gentrace ) {
/* Trace = [1,index,1,1] */
STOZ(i,iq); node = mknode(4,ONE,iq,ONE,ONE);
MKLIST(l,node); MKNODE(nd_tracelist,l,0);
}
/* for nd_ps */
s = ndvtond(m,nd_ps[i]);
s = nd_separate_head(s,&head);
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);
nd_free(nf);
/* for nd_ps_trace */
if ( nd_demand )
nfv = ndv_load(i);
else
nfv = nd_ps_trace[i];
s = ndvtond(0,nfv);
s = nd_separate_head(s,&head);
stat = nd_nf(0,head,s,nd_ps_trace,1,&nf);
if ( !stat ) return 0;
ndv_free(nfv);
hc = HCU(nf); nd_removecont(0,nf);
/* exact division */
cont = ndc_div(0,hc,HCU(nf));
if ( nd_gentrace ) finalize_tracelist(i,cont);
nfv = ndtondv(0,nf);
nd_free(nf);
nd_bound[i] = ndv_compute_bound(nfv);
register_hcf(nfv);
if ( nd_demand ) {
ndv_save(nfv,i);
ndv_free(nfv);
} else
nd_ps_trace[i] = nfv;
}
return 1;
}
static struct oEGT eg_invdalg;
struct oEGT eg_le;
void nd_subst_vector(VL vl,P p,NODE subst,P *r)
{
NODE tn;
P p1;
for ( tn = subst; tn; tn = NEXT(NEXT(tn)) ) {
substp(vl,p,BDY(tn),BDY(NEXT(tn)),&p1); p = p1;
}
*r = p;
}
NODE nd_gb_trace(int m,int ishomo,int **indp)
{
int i,nh,sugar,stat;
NODE r,g,t;
ND_pairs d;
ND_pairs l;
ND h,nf,nfq,s,head;
NDV nfv,nfqv;
Z q,den,num;
P hc;
union oNDC dn,hnfq;
struct oEGT eg_monic,egm0,egm1;
int diag_count = 0;
P cont;
LIST list;
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,0);
g = update_base(g,i);
}
sugar = 0;
while ( d ) {
again:
l = nd_minp(d,&d);
if ( MaxDeg > 0 && SG(l) > MaxDeg ) break;
if ( SG(l) != sugar ) {
#if 1
if ( ishomo ) {
if ( DP_Print > 2 ) fprintf(asir_out,"|");
stat = do_diagonalize_trace(sugar,m);
if ( DP_Print > 2 ) fprintf(asir_out,"|");
diag_count = 0;
if ( !stat ) {
NEXT(l) = d; d = l;
d = nd_reconstruct(1,d);
goto again;
}
}
#endif
sugar = SG(l);
if ( DP_Print ) fprintf(asir_out,"%d",sugar);
}
stat = nd_sp(m,0,l,&h);
if ( !stat ) {
NEXT(l) = d; d = l;
d = nd_reconstruct(1,d);
goto again;
}
#if USE_GEOBUCKET
stat = nd_nf_pbucket(m,h,nd_ps,!Top,&nf);
#else
stat = nd_nf(m,0,h,nd_ps,!Top,&nf);
#endif
if ( !stat ) {
NEXT(l) = d; d = l;
d = nd_reconstruct(1,d);
goto again;
} else if ( nf ) {
if ( nd_demand ) {
nfqv = ndv_load(nd_psn);
nfq = ndvtond(0,nfqv);
} else
nfq = 0;
if ( !nfq ) {
if ( !nd_sp(0,1,l,&h) || !nd_nf(0,0,h,nd_ps_trace,!Top,&nfq) ) {
NEXT(l) = d; d = l;
d = nd_reconstruct(1,d);
goto again;
}
}
if ( nfq ) {
/* m|HC(nfq) => failure */
if ( nd_vc ) {
nd_subst_vector(nd_vc,HCP(nfq),nd_subst,&hc); q = (Z)hc;
} else
q = HCZ(nfq);
if ( !remqi((Q)q,m) ) return 0;
if ( DP_Print ) { printf("+"); fflush(stdout); }
hnfq = HCU(nfq);
if ( nd_nalg ) {
/* 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);
}
if ( nd_gentrace ) {
/* exact division */
cont = ndc_div(0,hnfq,HCU(nfqv));
if ( !UNIQ(cont) ) {
t = mknode(4,NULLP,NULLP,NULLP,cont);
MKLIST(list,t); MKNODE(t,list,nd_tracelist);
nd_tracelist = t;
}
}
nh = ndv_newps(0,nfv,nfqv,0);
if ( ishomo && ++diag_count == diag_period ) {
diag_count = 0;
if ( DP_Print > 2 ) fprintf(asir_out,"|");
stat = do_diagonalize_trace(sugar,m);
if ( DP_Print > 2 ) fprintf(asir_out,"|");
if ( !stat ) {
NEXT(l) = d; d = l;
d = nd_reconstruct(1,d);
goto again;
}
}
d = update_pairs(d,g,nh,0);
g = update_base(g,nh);
} else {
if ( DP_Print ) { printf("*"); fflush(stdout); }
}
} else {
if ( DP_Print ) { printf("."); fflush(stdout); }
}
FREENDP(l);
}
if ( nd_nalg ) {
if ( DP_Print ) {
print_eg("monic",&eg_monic);
print_eg("invdalg",&eg_invdalg);
print_eg("le",&eg_le);
}
}
conv_ilist(nd_demand,1,g,indp);
if ( DP_Print ) { printf("nd_gb_trace done.\n"); fflush(stdout); }
return g;
}
int ndv_compare(NDV *p1,NDV *p2)
{
return DL_COMPARE(HDL(*p1),HDL(*p2));
}
int ndv_compare_rev(NDV *p1,NDV *p2)
{
return -DL_COMPARE(HDL(*p1),HDL(*p2));
}
int ndvi_compare(NDVI p1,NDVI p2)
{
return DL_COMPARE(HDL(p1->p),HDL(p2->p));
}
int ndvi_compare_rev(NDVI p1,NDVI p2)
{
return -DL_COMPARE(HDL(p1->p),HDL(p2->p));
}
NODE ndv_reduceall(int m,NODE f)
{
int i,j,n,stat;
ND nf,g,head;
NODE t,a0,a;
union oNDC dn;
Q q,num,den;
NODE node;
LIST l;
Z iq,jq;
int *perm;
union oNDC hc;
P cont,cont1;
if ( nd_nora ) return f;
n = length(f);
ndv_setup(m,0,f,0,1);
perm = (int *)MALLOC(n*sizeof(int));
if ( nd_gentrace ) {
for ( t = nd_tracelist, i = 0; i < n; i++, t = NEXT(t) )
perm[i] = ZTOS((Q)ARG1(BDY((LIST)BDY(t))));
}
for ( i = 0; i < n; ) {
if ( nd_gentrace ) {
/* Trace = [1,index,1,1] */
STOZ(i,iq); node = mknode(4,ONE,iq,ONE,ONE);
MKLIST(l,node); MKNODE(nd_tracelist,l,0);
}
g = ndvtond(m,nd_ps[i]);
g = nd_separate_head(g,&head);
stat = nd_nf(m,head,g,nd_ps,1,&nf);
if ( !stat )
nd_reconstruct(0,0);
else {
if ( DP_Print ) { printf("."); fflush(stdout); }
ndv_free(nd_ps[i]);
hc = HCU(nf); nd_removecont(m,nf);
if ( nd_gentrace ) {
for ( t = nd_tracelist; t; t = NEXT(t) ) {
jq = ARG1(BDY((LIST)BDY(t))); j = ZTOS(jq);
STOZ(perm[j],jq); ARG1(BDY((LIST)BDY(t))) = jq;
}
/* exact division */
cont = ndc_div(m,hc,HCU(nf));
finalize_tracelist(perm[i],cont);
}
nd_ps[i] = ndtondv(m,nf); nd_free(nf);
nd_bound[i] = ndv_compute_bound(nd_ps[i]);
i++;
}
}
if ( DP_Print ) { printf("\n"); }
for ( a0 = 0, i = 0; i < n; i++ ) {
NEXTNODE(a0,a);
if ( !nd_gentrace ) BDY(a) = (pointer)nd_ps[i];
else {
for ( j = 0; j < n; j++ ) if ( perm[j] == i ) break;
BDY(a) = (pointer)nd_ps[j];
}
}
NEXT(a) = 0;
return a0;
}
ND_pairs update_pairs( ND_pairs d, NODE /* of index */ g, int t, int gensyz)
{
ND_pairs d1,nd,cur,head,prev,remove;
if ( !g ) return d;
/* for testing */
if ( gensyz && nd_gensyz == 2 ) {
d1 = nd_newpairs(g,t);
if ( !d )
return d1;
else {
nd = d;
while ( NEXT(nd) ) nd = NEXT(nd);
NEXT(nd) = d1;
return d;
}
}
d = crit_B(d,t);
d1 = nd_newpairs(g,t);
d1 = crit_M(d1);
d1 = crit_F(d1);
if ( gensyz || do_weyl )
head = d1;
else {
prev = 0; cur = head = d1;
while ( cur ) {
if ( crit_2( cur->i1,cur->i2 ) ) {
remove = cur;
if ( !prev ) head = cur = NEXT(cur);
else cur = NEXT(prev) = NEXT(cur);
FREENDP(remove);
} else {
prev = cur; cur = NEXT(cur);
}
}
}
if ( !d )
return head;
else {
nd = d;
while ( NEXT(nd) ) nd = NEXT(nd);
NEXT(nd) = head;
return d;
}
}
ND_pairs nd_newpairs( NODE g, int t )
{
NODE h;
UINT *dl;
int ts,s,i,t0,min,max;
ND_pairs r,r0;
dl = DL(nd_psh[t]);
ts = SG(nd_psh[t]) - TD(dl);
if ( nd_module && nd_intersect && (MPOS(dl) > nd_intersect) ) return 0;
for ( r0 = 0, h = g; h; h = NEXT(h) ) {
if ( nd_module && (MPOS(DL(nd_psh[(long)BDY(h)])) != MPOS(dl)) )
continue;
if ( nd_gbblock ) {
t0 = (long)BDY(h);
for ( i = 0; nd_gbblock[i] >= 0; i += 2 ) {
min = nd_gbblock[i]; max = nd_gbblock[i+1];
if ( t0 >= min && t0 <= max && t >= min && t <= max )
break;
}
if ( nd_gbblock[i] >= 0 )
continue;
}
NEXTND_pairs(r0,r);
r->i1 = (long)BDY(h);
r->i2 = t;
ndl_lcm(DL(nd_psh[r->i1]),dl,r->lcm);
s = SG(nd_psh[r->i1])-TD(DL(nd_psh[r->i1]));
SG(r) = MAX(s,ts) + TD(LCM(r));
/* experimental */
if ( nd_sugarweight )
r->sugar2 = ndl_weight2(r->lcm);
}
if ( r0 ) NEXT(r) = 0;
return r0;
}
/* ipair = [i1,i2],[i1,i2],... */
ND_pairs nd_ipairtospair(NODE ipair)
{
int s1,s2;
NODE tn,t;
ND_pairs r,r0;
for ( r0 = 0, t = ipair; t; t = NEXT(t) ) {
NEXTND_pairs(r0,r);
tn = BDY((LIST)BDY(t));
r->i1 = ZTOS((Q)ARG0(tn));
r->i2 = ZTOS((Q)ARG1(tn));
ndl_lcm(DL(nd_psh[r->i1]),DL(nd_psh[r->i2]),r->lcm);
s1 = SG(nd_psh[r->i1])-TD(DL(nd_psh[r->i1]));
s2 = SG(nd_psh[r->i2])-TD(DL(nd_psh[r->i2]));
SG(r) = MAX(s1,s2) + TD(LCM(r));
/* experimental */
if ( nd_sugarweight )
r->sugar2 = ndl_weight2(r->lcm);
}
if ( r0 ) NEXT(r) = 0;
return r0;
}
/* kokokara */
ND_pairs crit_B( ND_pairs d, int s )
{
ND_pairs cur,head,prev,remove;
UINT *t,*tl,*lcm;
int td,tdl;
if ( !d ) return 0;
t = DL(nd_psh[s]);
prev = 0;
head = cur = d;
lcm = (UINT *)MALLOC(nd_wpd*sizeof(UINT));
while ( cur ) {
tl = cur->lcm;
if ( ndl_reducible(tl,t) ) {
ndl_lcm(DL(nd_psh[cur->i1]),t,lcm);
if ( !ndl_equal(lcm,tl) ) {
ndl_lcm(DL(nd_psh[cur->i2]),t,lcm);
if (!ndl_equal(lcm,tl)) {
remove = cur;
if ( !prev ) {
head = cur = NEXT(cur);
} else {
cur = NEXT(prev) = NEXT(cur);
}
FREENDP(remove);
} else {
prev = cur; cur = NEXT(cur);
}
} else {
prev = cur; cur = NEXT(cur);
}
} else {
prev = cur; cur = NEXT(cur);
}
}
return head;
}
ND_pairs crit_M( ND_pairs d1 )
{
ND_pairs e,d2,d3,dd,p;
UINT *id,*jd;
if ( !d1 ) return d1;
for ( dd = 0, e = d1; e; e = d3 ) {
if ( !(d2 = NEXT(e)) ) {
NEXT(e) = dd;
return e;
}
id = LCM(e);
for ( d3 = 0; d2; d2 = p ) {
p = NEXT(d2);
jd = LCM(d2);
if ( ndl_equal(jd,id) )
;
else if ( TD(jd) > TD(id) )
if ( ndl_reducible(jd,id) ) continue;
else ;
else if ( ndl_reducible(id,jd) ) goto delit;
NEXT(d2) = d3;
d3 = d2;
}
NEXT(e) = dd;
dd = e;
continue;
/**/
delit: NEXT(d2) = d3;
d3 = d2;
for ( ; p; p = d2 ) {
d2 = NEXT(p);
NEXT(p) = d3;
d3 = p;
}
FREENDP(e);
}
return dd;
}
ND_pairs crit_F( ND_pairs d1 )
{
ND_pairs rest, head,remove;
ND_pairs last, p, r, w;
int s;
if ( !d1 ) return d1;
for ( head = last = 0, p = d1; NEXT(p); ) {
r = w = equivalent_pairs(p,&rest);
s = SG(r);
w = NEXT(w);
while ( w ) {
if ( crit_2(w->i1,w->i2) ) {
r = w;
w = NEXT(w);
while ( w ) {
remove = w;
w = NEXT(w);
FREENDP(remove);
}
break;
} else if ( SG(w) < s ) {
FREENDP(r);
r = w;
s = SG(r);
w = NEXT(w);
} else {
remove = w;
w = NEXT(w);
FREENDP(remove);
}
}
if ( last ) NEXT(last) = r;
else head = r;
NEXT(last = r) = 0;
p = rest;
if ( !p ) return head;
}
if ( !last ) return p;
NEXT(last) = p;
return head;
}
int crit_2( int dp1, int dp2 )
{
return ndl_disjoint(DL(nd_psh[dp1]),DL(nd_psh[dp2]));
}
ND_pairs equivalent_pairs( ND_pairs d1, ND_pairs *prest )
{
ND_pairs w,p,r,s;
UINT *d;
w = d1;
d = LCM(w);
s = NEXT(w);
NEXT(w) = 0;
for ( r = 0; s; s = p ) {
p = NEXT(s);
if ( ndl_equal(d,LCM(s)) ) {
NEXT(s) = w; w = s;
} else {
NEXT(s) = r; r = s;
}
}
*prest = r;
return w;
}
NODE update_base(NODE nd,int ndp)
{
UINT *dl, *dln;
NODE last, p, head;
dl = DL(nd_psh[ndp]);
for ( head = last = 0, p = nd; p; ) {
dln = DL(nd_psh[(long)BDY(p)]);
if ( ndl_reducible( dln, dl ) ) {
p = NEXT(p);
if ( last ) NEXT(last) = p;
} else {
if ( !last ) head = p;
p = NEXT(last = p);
}
}
head = append_one(head,ndp);
return head;
}
ND_pairs nd_minp( ND_pairs d, ND_pairs *prest )
{
ND_pairs m,ml,p,l;
UINT *lcm;
int s,td,len,tlen,c,c1;
if ( !(p = NEXT(m = d)) ) {
*prest = p;
NEXT(m) = 0;
return m;
}
if ( !NoSugar ) {
if ( nd_sugarweight ) {
s = m->sugar2;
for ( ml = 0, l = m; p; p = NEXT(l = p) )
if ( (p->sugar2 < s)
|| ((p->sugar2 == s) && (DL_COMPARE(LCM(p),LCM(m)) < 0)) ) {
ml = l; m = p; s = m->sugar2;
}
} else {
s = SG(m);
for ( ml = 0, l = m; p; p = NEXT(l = p) )
if ( (SG(p) < s)
|| ((SG(p) == s) && (DL_COMPARE(LCM(p),LCM(m)) < 0)) ) {
ml = l; m = p; s = SG(m);
}
}
} else {
for ( ml = 0, l = m; p; p = NEXT(l = p) )
if ( DL_COMPARE(LCM(p),LCM(m)) < 0 ) {
ml = l; m = p; s = SG(m);
}
}
if ( !ml ) *prest = NEXT(m);
else {
NEXT(ml) = NEXT(m);
*prest = d;
}
NEXT(m) = 0;
return m;
}
ND_pairs nd_minsugarp( ND_pairs d, ND_pairs *prest )
{
int msugar,i;
ND_pairs t,dm0,dm,dr0,dr;
if ( nd_sugarweight ) {
for ( msugar = d->sugar2, t = NEXT(d); t; t = NEXT(t) )
if ( t->sugar2 < msugar ) msugar = t->sugar2;
dm0 = 0; dr0 = 0;
for ( i = 0, t = d; t; t = NEXT(t) )
if ( i < nd_f4_nsp && t->sugar2 == msugar ) {
if ( dm0 ) NEXT(dm) = t;
else dm0 = t;
dm = t;
i++;
} else {
if ( dr0 ) NEXT(dr) = t;
else dr0 = t;
dr = t;
}
} else {
for ( msugar = SG(d), t = NEXT(d); t; t = NEXT(t) )
if ( SG(t) < msugar ) msugar = SG(t);
dm0 = 0; dr0 = 0;
for ( i = 0, t = d; t; t = NEXT(t) )
if ( i < nd_f4_nsp && SG(t) == msugar ) {
if ( dm0 ) NEXT(dm) = t;
else dm0 = t;
dm = t;
i++;
} else {
if ( dr0 ) NEXT(dr) = t;
else dr0 = t;
dr = t;
}
}
NEXT(dm) = 0;
if ( dr0 ) NEXT(dr) = 0;
*prest = dr0;
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;
RHist r;
NDV b;
NODE tn;
LIST l;
Z iq;
if ( nd_psn == nd_pslen ) {
nd_pslen *= 2;
nd_ps = (NDV *)REALLOC((char *)nd_ps,nd_pslen*sizeof(NDV));
nd_ps_trace = (NDV *)REALLOC((char *)nd_ps_trace,nd_pslen*sizeof(NDV));
nd_psh = (RHist *)REALLOC((char *)nd_psh,nd_pslen*sizeof(RHist));
nd_bound = (UINT **)
REALLOC((char *)nd_bound,nd_pslen*sizeof(UINT *));
nd_ps_sym = (NDV *)REALLOC((char *)nd_ps_sym,nd_pslen*sizeof(NDV));
nd_ps_trace_sym = (NDV *)REALLOC((char *)nd_ps_trace_sym,nd_pslen*sizeof(NDV));
}
NEWRHist(r); nd_psh[nd_psn] = r;
nd_ps[nd_psn] = a;
if ( aq ) {
nd_ps_trace[nd_psn] = aq;
if ( !m ) {
register_hcf(aq);
} else if ( m == -2 ) {
/* do nothing */
} else
error("ndv_newps : invalud modulus");
nd_bound[nd_psn] = ndv_compute_bound(aq);
#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);
#if 1
SG(r) = SG(a);
#else
SG(r) = nd_tdeg(a);
#endif
ndl_copy(HDL(a),DL(r));
}
if ( nd_demand ) {
if ( aq ) {
ndv_save(nd_ps_trace[nd_psn],nd_psn);
nd_ps_sym[nd_psn] = ndv_symbolic(m,nd_ps_trace[nd_psn]);
nd_ps_trace_sym[nd_psn] = ndv_symbolic(m,nd_ps_trace[nd_psn]);
nd_ps_trace[nd_psn] = 0;
} else {
ndv_save(nd_ps[nd_psn],nd_psn);
nd_ps_sym[nd_psn] = ndv_symbolic(m,nd_ps[nd_psn]);
nd_ps[nd_psn] = 0;
}
}
if ( nd_gentrace ) {
/* reverse the tracelist and append it to alltracelist */
nd_tracelist = reverse_node(nd_tracelist); MKLIST(l,nd_tracelist);
STOZ(nd_psn,iq); tn = mknode(2,iq,l); MKLIST(l,tn);
MKNODE(tn,l,nd_alltracelist); nd_alltracelist = tn; nd_tracelist = 0;
}
return nd_psn++;
}
/* nd_tracelist = [[0,index,div],...,[nd_psn-1,index,div]] */
/* return 1 if success, 0 if failure (HC(a mod p)) */
int ndv_setup(int mod,int trace,NODE f,int dont_sort,int dont_removecont)
{
int i,j,td,len,max;
NODE s,s0,f0,tn;
UINT *d;
RHist r;
NDVI w;
NDV a,am;
union oNDC hc;
NODE node;
P hcp;
Z iq,jq;
LIST l;
nd_found = 0; nd_notfirst = 0; nd_create = 0;
/* initialize the tracelist */
nd_tracelist = 0;
for ( nd_psn = 0, s = f; s; s = NEXT(s) ) if ( BDY(s) ) nd_psn++;
w = (NDVI)MALLOC(nd_psn*sizeof(struct oNDVI));
for ( i = j = 0, s = f; s; s = NEXT(s), j++ )
if ( BDY(s) ) { w[i].p = BDY(s); w[i].i = j; i++; }
if ( !dont_sort ) {
/* XXX heuristic */
if ( !nd_ord->id && (nd_ord->ord.simple<2) )
qsort(w,nd_psn,sizeof(struct oNDVI),
(int (*)(const void *,const void *))ndvi_compare_rev);
else
qsort(w,nd_psn,sizeof(struct oNDVI),
(int (*)(const void *,const void *))ndvi_compare);
}
nd_pslen = 2*nd_psn;
nd_ps = (NDV *)MALLOC(nd_pslen*sizeof(NDV));
nd_ps_trace = (NDV *)MALLOC(nd_pslen*sizeof(NDV));
nd_ps_sym = (NDV *)MALLOC(nd_pslen*sizeof(NDV));
nd_ps_trace_sym = (NDV *)MALLOC(nd_pslen*sizeof(NDV));
nd_psh = (RHist *)MALLOC(nd_pslen*sizeof(RHist));
nd_bound = (UINT **)MALLOC(nd_pslen*sizeof(UINT *));
nd_hcf = 0;
if ( trace && nd_vc )
makesubst(nd_vc,&nd_subst);
else
nd_subst = 0;
if ( !nd_red )
nd_red = (RHist *)MALLOC(REDTAB_LEN*sizeof(RHist));
for ( i = 0; i < REDTAB_LEN; i++ ) nd_red[i] = 0;
for ( i = 0; i < nd_psn; i++ ) {
hc = HCU(w[i].p);
if ( trace ) {
if ( mod == -2 ) {
/* over a large finite field */
/* trace = small modulus */
a = nd_ps_trace[i] = ndv_dup(-2,w[i].p);
ndv_mod(-2,a);
if ( !dont_removecont) ndv_removecont(-2,a);
am = nd_ps[i] = ndv_dup(trace,w[i].p);
ndv_mod(trace,am);
if ( DL_COMPARE(HDL(am),HDL(a)) )
return 0;
ndv_removecont(trace,am);
} else {
a = nd_ps_trace[i] = ndv_dup(0,w[i].p);
if ( !dont_removecont) ndv_removecont(0,a);
register_hcf(a);
am = nd_ps[i] = ndv_dup(mod,a);
ndv_mod(mod,am);
if ( DL_COMPARE(HDL(am),HDL(a)) )
return 0;
ndv_removecont(mod,am);
}
} else {
a = nd_ps[i] = ndv_dup(mod,w[i].p);
if ( mod || !dont_removecont ) ndv_removecont(mod,a);
if ( !mod ) register_hcf(a);
}
if ( nd_gentrace ) {
STOZ(i,iq); STOZ(w[i].i,jq); node = mknode(3,iq,jq,ONE);
/* exact division */
if ( !dont_removecont )
ARG2(node) = (pointer)ndc_div(trace?0:mod,hc,HCU(a));
MKLIST(l,node); NEXTNODE(nd_tracelist,tn); BDY(tn) = l;
}
NEWRHist(r); SG(r) = HTD(a); ndl_copy(HDL(a),DL(r));
nd_bound[i] = ndv_compute_bound(a);
nd_psh[i] = r;
if ( nd_demand ) {
if ( trace ) {
ndv_save(nd_ps_trace[i],i);
nd_ps_sym[i] = ndv_symbolic(mod,nd_ps_trace[i]);
nd_ps_trace_sym[i] = ndv_symbolic(mod,nd_ps_trace[i]);
nd_ps_trace[i] = 0;
} else {
ndv_save(nd_ps[i],i);
nd_ps_sym[i] = ndv_symbolic(mod,nd_ps[i]);
nd_ps[i] = 0;
}
}
}
if ( nd_gentrace && nd_tracelist ) NEXT(tn) = 0;
return 1;
}
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;
VECT 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, making polynomials monic */
setfield_dalg(alist);
obj_algtodalg((Obj)f,(Obj *)&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 = (Obj)da;
}
}
initd(ord); dtop(vv,vv,d,(Obj *)&poly); BDY(f) = (pointer)poly;
}
obj_dalgtoalg((Obj)f1,(Obj *)&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((Obj)f1,(Obj *)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;
VECT 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 homo,int retdp,int f4,struct order_spec *ord,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,mrank,trank,wmax,len;
NMV a;
Alg alpha,dp;
P p,zp;
Q dmy;
LIST f1,f2,zpl;
Obj obj;
NumberField nf;
struct order_spec *ord1;
NODE tr,tl1,tl2,tl3,tl4,nzlist;
LIST l1,l2,l3,l4,l5;
int j;
Z jq,bpe,last_nonzero;
int *perm;
EPOS oepos;
int obpe,oadv,ompos,cbpe;
VECT hvect;
nd_module = 0;
if ( !m && Demand ) nd_demand = 1;
else nd_demand = 0;
parse_nd_option(current_option);
if ( DP_Multiple )
nd_scale = ((double)DP_Multiple)/(double)(Denominator?Denominator:1);
#if 0
ndv_alloc = 0;
#endif
get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc);
if ( m && nd_vc )
error("nd_{gr,f4} : computation over Fp(X) is unsupported. Use dp_gr_mod_main().");
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ );
switch ( ord->id ) {
case 1:
if ( ord->nv != nvar )
error("nd_{gr,f4} : 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);
mrank = 0;
for ( t = BDY(f), max = 1; t; t = NEXT(t) )
for ( tv = vv; tv; tv = NEXT(tv) ) {
if ( nd_module ) {
if ( OID(BDY(t)) == O_DPM ) {
e = dpm_getdeg((DPM)BDY(t),&trank);
max = MAX(e,max);
mrank = MAX(mrank,trank);
} else {
s = BDY((LIST)BDY(t));
trank = length(s);
mrank = MAX(mrank,trank);
for ( ; s; s = NEXT(s) ) {
e = getdeg(tv->v,(P)BDY(s));
max = MAX(e,max);
}
}
} else {
e = getdeg(tv->v,(P)BDY(t));
max = MAX(e,max);
}
}
nd_setup_parameters(nvar,nd_nzlist?0:max);
obpe = nd_bpe; oadv = nmv_adv; oepos = nd_epos; ompos = nd_mpos;
ishomo = 1;
for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {
if ( nd_module ) {
if ( OID(BDY(t)) == O_DPM ) {
Z cont;
DPM zdpm;
if ( !m && !nd_gentrace ) dpm_ptozp((DPM)BDY(t),&cont,&zdpm);
else zdpm = (DPM)BDY(t);
b = (pointer)dpmtondv(m,zdpm);
} else {
if ( !m && !nd_gentrace ) pltozpl((LIST)BDY(t),&dmy,&zpl);
else zpl = (LIST)BDY(t);
b = (pointer)pltondv(CO,vv,zpl);
}
} else {
if ( !m && !nd_gentrace ) ptozp((P)BDY(t),1,&dmy,&zp);
else zp = (P)BDY(t);
b = (pointer)ptondv(CO,vv,zp);
}
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;
if ( !ishomo && homo ) {
for ( t = fd0, wmax = max; t; t = NEXT(t) ) {
b = (NDV)BDY(t); len = LEN(b);
for ( a = BDY(b), i = 0; i < len; i++, NMV_ADV(a) )
wmax = MAX(TD(DL(a)),wmax);
}
homogenize_order(ord,nvar,&ord1);
nd_init_ord(ord1);
nd_setup_parameters(nvar+1,nd_nzlist?0:wmax);
for ( t = fd0; t; t = NEXT(t) )
ndv_homogenize((NDV)BDY(t),obpe,oadv,oepos,ompos);
}
ndv_setup(m,0,fd0,(nd_gbblock||nd_splist||nd_check_splist)?1:0,0);
if ( nd_gentrace ) {
MKLIST(l1,nd_tracelist); MKNODE(nd_alltracelist,l1,0);
}
if ( nd_splist ) {
*rp = compute_splist();
return;
}
if ( nd_check_splist ) {
if ( f4 ) {
if ( check_splist_f4(m,nd_check_splist) ) *rp = (LIST)ONE;
else *rp = 0;
} else {
if ( check_splist(m,nd_check_splist) ) *rp = (LIST)ONE;
else *rp = 0;
}
return;
}
x = f4?nd_f4(m,0,&perm):nd_gb(m,ishomo || homo,0,0,&perm);
if ( !x ) {
*rp = 0; return;
}
if ( nd_gentrace ) {
MKVECT(hvect,nd_psn);
for ( i = 0; i < nd_psn; i++ )
ndltodp(nd_psh[i]->dl,(DP *)&BDY(hvect)[i]);
}
if ( !ishomo && homo ) {
/* dehomogenization */
for ( t = x; t; t = NEXT(t) ) ndv_dehomogenize((NDV)BDY(t),ord);
nd_init_ord(ord);
nd_setup_parameters(nvar,0);
}
nd_demand = 0;
if ( nd_module && nd_intersect ) {
for ( j = nd_psn-1, x = 0; j >= 0; j-- )
if ( MPOS(DL(nd_psh[j])) > nd_intersect ) {
MKNODE(xx,(pointer)((unsigned long)j),x); x = xx;
}
conv_ilist(nd_demand,0,x,0);
goto FINAL;
}
if ( nd_gentrace && f4 ) { nzlist = nd_alltracelist; }
x = ndv_reducebase(x,perm);
if ( nd_gentrace && !f4 ) { tl1 = nd_alltracelist; nd_alltracelist = 0; }
x = ndv_reduceall(m,x);
cbpe = nd_bpe;
if ( nd_gentrace && !f4 ) {
tl2 = nd_alltracelist; nd_alltracelist = 0;
ndv_check_membership(m,fd0,obpe,oadv,oepos,x);
tl3 = nd_alltracelist; nd_alltracelist = 0;
if ( nd_gensyz ) {
nd_gb(m,0,1,1,0);
tl4 = nd_alltracelist; nd_alltracelist = 0;
} else tl4 = 0;
}
nd_bpe = cbpe;
nd_setup_parameters(nd_nvar,0);
FINAL:
for ( r0 = 0, t = x; t; t = NEXT(t) ) {
NEXTNODE(r0,r);
if ( nd_module ) {
if ( retdp ) BDY(r) = ndvtodpm(m,BDY(t));
else BDY(r) = ndvtopl(m,CO,vv,BDY(t),mrank);
} else if ( retdp ) BDY(r) = ndvtodp(m,BDY(t));
else BDY(r) = ndvtop(m,CO,vv,BDY(t));
}
if ( r0 ) NEXT(r) = 0;
if ( !m && nd_nalg )
r0 = postprocess_algcoef(av,alist,r0);
MKLIST(*rp,r0);
if ( nd_gentrace ) {
if ( f4 ) {
STOZ(16,bpe);
STOZ(nd_last_nonzero,last_nonzero);
tr = mknode(6,*rp,(!ishomo&&homo)?ONE:0,BDY(nzlist),bpe,last_nonzero,hvect); MKLIST(*rp,tr);
} else {
tl1 = reverse_node(tl1); tl2 = reverse_node(tl2);
tl3 = reverse_node(tl3);
/* tl2 = [[i,[[*,j,*,*],...]],...] */
for ( t = tl2; t; t = NEXT(t) ) {
/* s = [i,[*,j,*,*],...] */
s = BDY((LIST)BDY(t));
j = perm[ZTOS((Q)ARG0(s))]; STOZ(j,jq); ARG0(s) = (pointer)jq;
for ( s = BDY((LIST)ARG1(s)); s; s = NEXT(s) ) {
j = perm[ZTOS((Q)ARG1(BDY((LIST)BDY(s))))]; STOZ(j,jq);
ARG1(BDY((LIST)BDY(s))) = (pointer)jq;
}
}
for ( j = length(x)-1, t = 0; j >= 0; j-- ) {
STOZ(perm[j],jq); MKNODE(s,jq,t); t = s;
}
MKLIST(l1,tl1); MKLIST(l2,tl2); MKLIST(l3,t); MKLIST(l4,tl3);
MKLIST(l5,tl4);
STOZ(nd_bpe,bpe);
tr = mknode(9,*rp,(!ishomo&&homo)?ONE:0,l1,l2,l3,l4,l5,bpe,hvect); MKLIST(*rp,tr);
}
}
#if 0
fprintf(asir_out,"ndv_alloc=%d\n",ndv_alloc);
#endif
}
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,zp;
Q dmy;
LIST f1,f2;
Obj obj;
NumberField nf;
struct order_spec *ord1;
int *perm;
parse_nd_option(current_option);
get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc);
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 = 1; 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) ) {
ptozp((P)BDY(t),1,&dmy,&zp);
b = (pointer)ptondv(CO,vv,zp);
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,fd0,0,1);
for ( x = 0, i = 0; i < nd_psn; i++ )
x = update_base(x,i);
if ( do_check ) {
x = nd_gb(m,ishomo,1,0,&perm);
if ( !x ) {
*rp = 0;
return;
}
} else {
#if 0
/* bug ? */
for ( t = x; t; t = NEXT(t) )
BDY(t) = (pointer)nd_ps[(long)BDY(t)];
#else
conv_ilist(0,0,x,&perm);
#endif
}
x = ndv_reducebase(x,perm);
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 ( !m && nd_nalg )
r0 = postprocess_algcoef(av,alist,r0);
MKLIST(*rp,r0);
}
NDV recompute_trace(NODE trace,NDV *p,int m);
void nd_gr_recompute_trace(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,LIST *rp);
NDV recompute_trace(NODE ti,NDV *p,int mod)
{
int c,c1,c2,i;
NM mul,m,tail;
ND d,r,rm;
NODE sj;
NDV red;
Obj mj;
mul = (NM)MALLOC(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT));
CM(mul) = 1;
tail = 0;
for ( i = 0, d = r = 0; ti; ti = NEXT(ti), i++ ) {
sj = BDY((LIST)BDY(ti));
if ( ARG0(sj) ) {
red = p[ZTOS((Q)ARG1(sj))];
mj = (Obj)ARG2(sj);
if ( OID(mj) != O_DP ) ndl_zero(DL(mul));
else dltondl(nd_nvar,BDY((DP)mj)->dl,DL(mul));
rm = ndv_mul_nm(mod,mul,red);
if ( !r ) r = rm;
else {
for ( m = BDY(r); m && !ndl_equal(m->dl,BDY(rm)->dl); m = NEXT(m), LEN(r)-- ) {
if ( d ) {
NEXT(tail) = m; tail = m; LEN(d)++;
} else {
MKND(nd_nvar,m,1,d); tail = BDY(d);
}
}
if ( !m ) return 0; /* failure */
else {
BDY(r) = m;
if ( mod > 0 || mod == -1 ) {
c1 = invm(HCM(rm),mod); c2 = mod-HCM(r);
DMAR(c1,c2,0,mod,c);
nd_mul_c(mod,rm,c);
} else {
Z t,u;
chsgnlf(HCZ(r),&t);
divlf(t,HCZ(rm),&u);
nd_mul_c_lf(rm,u);
}
r = nd_add(mod,r,rm);
}
}
}
}
if ( tail ) NEXT(tail) = 0;
d = nd_add(mod,d,r);
nd_mul_c(mod,d,invm(HCM(d),mod));
return ndtondv(mod,d);
}
void nd_gr_recompute_trace(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,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,zp;
Q dmy;
LIST f1,f2;
Obj obj;
NumberField nf;
struct order_spec *ord1;
NODE permtrace,intred,ind,perm,trace,ti;
int len,n,j;
NDV *db,*pb;
parse_nd_option(current_option);
get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc);
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_init_ord(ord);
nd_bpe = ZTOS((Q)ARG7(BDY(tlist)));
nd_setup_parameters(nvar,0);
len = length(BDY(f));
db = (NDV *)MALLOC(len*sizeof(NDV *));
for ( i = 0, t = BDY(f); t; i++, t = NEXT(t) ) {
ptozp((P)BDY(t),1,&dmy,&zp);
b = ptondv(CO,vv,zp);
ndv_mod(m,b);
ndv_mul_c(m,b,invm(HCM(b),m));
db[i] = b;
}
permtrace = BDY((LIST)ARG2(BDY(tlist)));
intred = BDY((LIST)ARG3(BDY(tlist)));
ind = BDY((LIST)ARG4(BDY(tlist)));
perm = BDY((LIST)ARG0(permtrace));
trace = NEXT(permtrace);
for ( i = length(perm)-1, t = trace; t; t = NEXT(t) ) {
j = ZTOS((Q)ARG0(BDY((LIST)BDY(t))));
if ( j > i ) i = j;
}
n = i+1;
pb = (NDV *)MALLOC(n*sizeof(NDV *));
for ( t = perm, i = 0; t; t = NEXT(t), i++ ) {
ti = BDY((LIST)BDY(t));
pb[ZTOS((Q)ARG0(ti))] = db[ZTOS((Q)ARG1(ti))];
}
for ( t = trace; t; t = NEXT(t) ) {
ti = BDY((LIST)BDY(t));
pb[ZTOS((Q)ARG0(ti))] = recompute_trace(BDY((LIST)ARG1(ti)),pb,m);
if ( !pb[ZTOS((Q)ARG0(ti))] ) { *rp = 0; return; }
if ( DP_Print ) {
fprintf(asir_out,"."); fflush(asir_out);
}
}
for ( t = intred; t; t = NEXT(t) ) {
ti = BDY((LIST)BDY(t));
pb[ZTOS((Q)ARG0(ti))] = recompute_trace(BDY((LIST)ARG1(ti)),pb,m);
if ( !pb[ZTOS((Q)ARG0(ti))] ) { *rp = 0; return; }
if ( DP_Print ) {
fprintf(asir_out,"*"); fflush(asir_out);
}
}
for ( r0 = 0, t = ind; t; t = NEXT(t) ) {
NEXTNODE(r0,r);
b = pb[ZTOS((Q)BDY(t))];
ndv_mul_c(m,b,invm(HCM(b),m));
#if 0
BDY(r) = ndvtop(m,CO,vv,pb[ZTOS((Q)BDY(t))]);
#else
BDY(r) = ndvtodp(m,pb[ZTOS((Q)BDY(t))]);
#endif
}
if ( r0 ) NEXT(r) = 0;
MKLIST(*rp,r0);
if ( DP_Print ) fprintf(asir_out,"\n");
}
void nd_gr_trace(LIST f,LIST v,int trace,int homo,int retdp,int f4,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,zp;
Q dmy;
EPOS oepos;
int obpe,oadv,wmax,i,len,cbpe,ishomo,nalg,mrank,trank,ompos;
Alg alpha,dp;
P poly;
LIST f1,f2,zpl;
Obj obj;
NumberField nf;
struct order_spec *ord1;
struct oEGT eg_check,eg0,eg1;
NODE tr,tl1,tl2,tl3,tl4;
LIST l1,l2,l3,l4,l5;
int *perm;
int j,ret;
Z jq,bpe;
VECT hvect;
nd_module = 0;
nd_lf = 0;
parse_nd_option(current_option);
if ( nd_lf ) {
if ( f4 )
nd_f4_lf_trace(f,v,trace,homo,ord,rp);
else
error("nd_gr_trace is not implemented yet over a large finite field");
return;
}
if ( DP_Multiple )
nd_scale = ((double)DP_Multiple)/(double)(Denominator?Denominator:1);
get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc);
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ );
switch ( ord->id ) {
case 1:
if ( ord->nv != nvar )
error("nd_gr_trace : invalid order specification");
break;
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;
if ( Demand ) nd_demand = 1;
else nd_demand = 0;
/* setup modulus */
if ( trace < 0 ) {
trace = -trace;
nocheck = 1;
}
m = trace > 1 ? trace : get_lprime(mindex);
nd_init_ord(ord);
mrank = 0;
for ( t = BDY(f), max = 1; t; t = NEXT(t) )
for ( tv = vv; tv; tv = NEXT(tv) ) {
if ( nd_module ) {
if ( OID(BDY(t)) == O_DPM ) {
e = dpm_getdeg((DPM)BDY(t),&trank);
max = MAX(e,max);
mrank = MAX(mrank,trank);
} else {
s = BDY((LIST)BDY(t));
trank = length(s);
mrank = MAX(mrank,trank);
for ( ; s; s = NEXT(s) ) {
e = getdeg(tv->v,(P)BDY(s));
max = MAX(e,max);
}
}
} else {
e = getdeg(tv->v,(P)BDY(t));
max = MAX(e,max);
}
}
nd_setup_parameters(nvar,max);
obpe = nd_bpe; oadv = nmv_adv; oepos = nd_epos; ompos = nd_mpos;
ishomo = 1;
for ( in0 = 0, fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {
if ( nd_module ) {
if ( OID(BDY(t)) == O_DPM ) {
Z cont;
DPM zdpm;
if ( !nd_gentrace ) dpm_ptozp((DPM)BDY(t),&cont,&zdpm);
else zdpm = (DPM)BDY(t);
c = (pointer)dpmtondv(m,zdpm);
} else {
if ( !nd_gentrace ) pltozpl((LIST)BDY(t),&dmy,&zpl);
else zpl = (LIST)BDY(t);
c = (pointer)pltondv(CO,vv,zpl);
}
} else {
if ( !nd_gentrace ) ptozp((P)BDY(t),1,&dmy,&zp);
else zp = (P)BDY(t);
c = (pointer)ptondv(CO,vv,zp);
}
if ( ishomo )
ishomo = ishomo && ndv_ishomo(c);
if ( c ) {
NEXTNODE(in0,in); BDY(in) = (pointer)c;
NEXTNODE(fd0,fd); BDY(fd) = (pointer)ndv_dup(0,c);
}
}
if ( in0 ) NEXT(in) = 0;
if ( fd0 ) NEXT(fd) = 0;
if ( !ishomo && homo ) {
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);
}
homogenize_order(ord,nvar,&ord1);
nd_init_ord(ord1);
nd_setup_parameters(nvar+1,wmax);
for ( t = fd0; t; t = NEXT(t) )
ndv_homogenize((NDV)BDY(t),obpe,oadv,oepos,ompos);
}
if ( MaxDeg > 0 ) nocheck = 1;
while ( 1 ) {
tl1 = tl2 = tl3 = tl4 = 0;
if ( Demand )
nd_demand = 1;
ret = ndv_setup(m,1,fd0,nd_gbblock?1:0,0);
if ( nd_gentrace ) {
MKLIST(l1,nd_tracelist); MKNODE(nd_alltracelist,l1,0);
}
if ( ret )
cand = f4?nd_f4_trace(m,&perm):nd_gb_trace(m,ishomo || homo,&perm);
if ( !ret || !cand ) {
/* failure */
if ( trace > 1 ) { *rp = 0; return; }
else m = get_lprime(++mindex);
continue;
}
if ( nd_gentrace ) {
MKVECT(hvect,nd_psn);
for ( i = 0; i < nd_psn; i++ )
ndltodp(nd_psh[i]->dl,(DP *)&BDY(hvect)[i]);
}
if ( !ishomo && homo ) {
/* dehomogenization */
for ( t = cand; t; t = NEXT(t) ) ndv_dehomogenize((NDV)BDY(t),ord);
nd_init_ord(ord);
nd_setup_parameters(nvar,0);
}
nd_demand = 0;
cand = ndv_reducebase(cand,perm);
if ( nd_gentrace ) { tl1 = nd_alltracelist; nd_alltracelist = 0; }
cand = ndv_reduceall(0,cand);
cbpe = nd_bpe;
if ( nd_gentrace ) { tl2 = nd_alltracelist; nd_alltracelist = 0; }
get_eg(&eg0);
if ( nocheck )
break;
if ( (ret = ndv_check_membership(0,in0,obpe,oadv,oepos,cand)) != 0 ) {
if ( nd_gentrace ) {
tl3 = nd_alltracelist; nd_alltracelist = 0;
} else tl3 = 0;
/* gbcheck : cand is a GB of Id(cand) ? */
if ( nd_vc || nd_gentrace || nd_gensyz )
ret = nd_gb(0,0,1,nd_gensyz?1:0,0)!=0;
else
ret = nd_f4(0,1,0)!=0;
if ( nd_gentrace && nd_gensyz ) {
tl4 = nd_alltracelist; nd_alltracelist = 0;
} else tl4 = 0;
}
if ( ret ) break;
else if ( trace > 1 ) {
/* failure */
*rp = 0; return;
} else {
/* try the next modulus */
m = get_lprime(++mindex);
/* reset the parameters */
if ( !ishomo && homo ) {
nd_init_ord(ord1);
nd_setup_parameters(nvar+1,wmax);
} else {
nd_init_ord(ord);
nd_setup_parameters(nvar,max);
}
}
}
get_eg(&eg1); init_eg(&eg_check); add_eg(&eg_check,&eg0,&eg1);
if ( DP_Print )
fprintf(asir_out,"check=%.3fsec\n",eg_check.exectime);
/* dp->p */
nd_bpe = cbpe;
nd_setup_parameters(nd_nvar,0);
for ( r = cand; r; r = NEXT(r) ) {
if ( nd_module ) {
if ( retdp ) BDY(r) = ndvtodpm(0,BDY(r));
else BDY(r) = ndvtopl(0,CO,vv,BDY(r),mrank);
} else if ( retdp ) BDY(r) = ndvtodp(0,BDY(r));
else BDY(r) = (pointer)ndvtop(0,CO,vv,BDY(r));
}
if ( nd_nalg )
cand = postprocess_algcoef(av,alist,cand);
MKLIST(*rp,cand);
if ( nd_gentrace ) {
tl1 = reverse_node(tl1); tl2 = reverse_node(tl2);
tl3 = reverse_node(tl3);
/* tl2 = [[i,[[*,j,*,*],...]],...] */
for ( t = tl2; t; t = NEXT(t) ) {
/* s = [i,[*,j,*,*],...] */
s = BDY((LIST)BDY(t));
j = perm[ZTOS((Q)ARG0(s))]; STOZ(j,jq); ARG0(s) = (pointer)jq;
for ( s = BDY((LIST)ARG1(s)); s; s = NEXT(s) ) {
j = perm[ZTOS((Q)ARG1(BDY((LIST)BDY(s))))]; STOZ(j,jq);
ARG1(BDY((LIST)BDY(s))) = (pointer)jq;
}
}
for ( j = length(cand)-1, t = 0; j >= 0; j-- ) {
STOZ(perm[j],jq); MKNODE(s,jq,t); t = s;
}
MKLIST(l1,tl1); MKLIST(l2,tl2); MKLIST(l3,t); MKLIST(l4,tl3);
MKLIST(l5,tl4);
STOZ(nd_bpe,bpe);
tr = mknode(9,*rp,(!ishomo&&homo)?ONE:0,l1,l2,l3,l4,l5,bpe,hvect); MKLIST(*rp,tr);
}
}
/* XXX : module element is not considered */
void dltondl(int n,DL dl,UINT *r)
{
UINT *d;
int i,j,l,s,ord_l;
struct order_pair *op;
d = (unsigned int *)dl->d;
for ( i = 0; i < nd_wpd; i++ ) r[i] = 0;
if ( nd_blockmask ) {
l = nd_blockmask->n;
op = nd_blockmask->order_pair;
for ( j = 0, s = 0; j < l; j++ ) {
ord_l = op[j].length;
for ( i = 0; i < ord_l; i++, s++ ) PUT_EXP(r,s,d[s]);
}
TD(r) = ndl_weight(r);
ndl_weight_mask(r);
} else {
for ( i = 0; i < n; i++ ) PUT_EXP(r,i,d[i]);
TD(r) = ndl_weight(r);
}
}
DL ndltodl(int n,UINT *ndl)
{
DL dl;
int *d;
int i,j,l,s,ord_l;
struct order_pair *op;
NEWDL(dl,n);
dl->td = TD(ndl);
d = dl->d;
if ( nd_blockmask ) {
l = nd_blockmask->n;
op = nd_blockmask->order_pair;
for ( j = 0, s = 0; j < l; j++ ) {
ord_l = op[j].length;
for ( i = 0; i < ord_l; i++, s++ ) d[s] = GET_EXP(ndl,s);
}
} else {
for ( i = 0; i < n; i++ ) d[i] = GET_EXP(ndl,i);
}
return dl;
}
void nmtodp(int mod,NM m,DP *r)
{
DP dp;
MP mr;
NEWMP(mr);
mr->dl = ndltodl(nd_nvar,DL(m));
mr->c = (Obj)ndctop(mod,m->c);
NEXT(mr) = 0; MKDP(nd_nvar,mr,dp); dp->sugar = mr->dl->td;
*r = dp;
}
void ndltodp(UINT *d,DP *r)
{
DP dp;
MP mr;
NEWMP(mr);
mr->dl = ndltodl(nd_nvar,d);
mr->c = (Obj)ONE;
NEXT(mr) = 0; MKDP(nd_nvar,mr,dp); dp->sugar = mr->dl->td;
*r = dp;
}
void ndl_print(UINT *dl)
{
int n;
int i,j,l,ord_l,s,s0;
struct order_pair *op;
n = nd_nvar;
printf("<<");
if ( nd_blockmask ) {
l = nd_blockmask->n;
op = nd_blockmask->order_pair;
for ( j = 0, s = s0 = 0; j < l; j++ ) {
ord_l = op[j].length;
for ( i = 0; i < ord_l; i++, s++ )
printf(s==n-1?"%d":"%d,",GET_EXP(dl,s));
}
} else {
for ( i = 0; i < n; i++ ) printf(i==n-1?"%d":"%d,",GET_EXP(dl,i));
}
printf(">>");
if ( nd_module && MPOS(dl) )
printf("*e%d",MPOS(dl));
}
void nd_print(ND p)
{
NM m;
if ( !p )
printf("0\n");
else {
for ( m = BDY(p); m; m = NEXT(m) ) {
if ( CM(m) & 0x80000000 ) printf("+@_%d*",IFTOF(CM(m)));
else printf("+%d*",CM(m));
ndl_print(DL(m));
}
printf("\n");
}
}
void nd_print_q(ND p)
{
NM m;
if ( !p )
printf("0\n");
else {
for ( m = BDY(p); m; m = NEXT(m) ) {
printf("+");
printexpr(CO,(Obj)CZ(m));
printf("*");
ndl_print(DL(m));
}
printf("\n");
}
}
void ndp_print(ND_pairs d)
{
ND_pairs t;
for ( t = d; t; t = NEXT(t) ) printf("%d,%d ",t->i1,t->i2);
printf("\n");
}
void nd_removecont(int mod,ND p)
{
int i,n;
Z *w;
NM m;
struct oVECT v;
if ( mod == -1 ) nd_mul_c(mod,p,_invsf(HCM(p)));
else if ( mod == -2 ) {
Z inv;
divlf(ONE,HCZ(p),&inv);
nd_mul_c_lf(p,inv);
} else if ( mod ) nd_mul_c(mod,p,invm(HCM(p),mod));
else {
for ( m = BDY(p), n = 0; m; m = NEXT(m), n++ );
w = (Z *)MALLOC(n*sizeof(Q));
v.len = n;
v.body = (pointer *)w;
for ( m = BDY(p), i = 0; i < n; m = NEXT(m), i++ ) w[i] = CZ(m);
removecont_array((P *)w,n,1);
for ( m = BDY(p), i = 0; i < n; m = NEXT(m), i++ ) CZ(m) = w[i];
}
}
void nd_removecont2(ND p1,ND p2)
{
int i,n1,n2,n;
Z *w;
NM m;
struct oVECT v;
n1 = nd_length(p1);
n2 = nd_length(p2);
n = n1+n2;
w = (Z *)MALLOC(n*sizeof(Q));
v.len = n;
v.body = (pointer *)w;
i = 0;
if ( p1 )
for ( m = BDY(p1); i < n1; m = NEXT(m), i++ ) w[i] = CZ(m);
if ( p2 )
for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) w[i] = CZ(m);
removecont_array((P *)w,n,1);
i = 0;
if ( p1 )
for ( m = BDY(p1); i < n1; m = NEXT(m), i++ ) CZ(m) = w[i];
if ( p2 )
for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) CZ(m) = w[i];
}
void ndv_removecont(int mod,NDV p)
{
int i,len,all_p;
Z *c;
P *w;
Z dvr,t;
P g,cont,tp;
NMV m;
if ( mod == -1 )
ndv_mul_c(mod,p,_invsf(HCM(p)));
else if ( mod == -2 ) {
Z inv;
divlf(ONE,HCZ(p),&inv);
ndv_mul_c_lf(p,inv);
} else if ( mod )
ndv_mul_c(mod,p,invm(HCM(p),mod));
else {
len = p->len;
w = (P *)MALLOC(len*sizeof(P));
c = (Z *)MALLOC(len*sizeof(Q));
for ( m = BDY(p), all_p = 1, i = 0; i < len; NMV_ADV(m), i++ ) {
ptozp(CP(m),1,(Q *)&c[i],&w[i]);
all_p = all_p && !NUM(w[i]);
}
if ( all_p ) {
qltozl((Q *)c,len,&dvr); nd_heu_nezgcdnpz(nd_vc,w,len,1,&g);
mulp(nd_vc,(P)dvr,g,&cont);
for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) {
divsp(nd_vc,CP(m),cont,&tp); CP(m) = tp;
}
} else {
sortbynm((Q *)c,len);
qltozl((Q *)c,len,&dvr);
for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) {
divsp(nd_vc,CP(m),(P)dvr,&tp); CP(m) = tp;
}
}
}
}
/* koko */
void ndv_homogenize(NDV p,int obpe,int oadv,EPOS oepos,int ompos)
{
int len,i,max;
NMV m,mr0,mr,t;
len = p->len;
for ( m = BDY(p), i = 0, max = 0; i < len; NMV_OADV(m), i++ )
max = MAX(max,TD(DL(m)));
mr0 = nmv_adv>oadv?(NMV)REALLOC(BDY(p),len*nmv_adv):BDY(p);
m = (NMV)((char *)mr0+(len-1)*oadv);
mr = (NMV)((char *)mr0+(len-1)*nmv_adv);
t = (NMV)MALLOC(nmv_adv);
for ( i = 0; i < len; i++, NMV_OPREV(m), NMV_PREV(mr) ) {
ndl_homogenize(DL(m),DL(t),obpe,oepos,ompos,max);
CZ(mr) = CZ(m);
ndl_copy(DL(t),DL(mr));
}
NV(p)++;
BDY(p) = mr0;
}
void ndv_dehomogenize(NDV p,struct order_spec *ord)
{
int i,j,adj,len,newnvar,newwpd,newadv,newexporigin,newmpos;
int pos;
Q *w;
Q dvr,t;
NMV m,r;
len = p->len;
newnvar = nd_nvar-1;
newexporigin = nd_get_exporigin(ord);
if ( nd_module ) newmpos = newexporigin-1;
newwpd = newnvar/nd_epw+(newnvar%nd_epw?1:0)+newexporigin;
for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ )
ndl_dehomogenize(DL(m));
if ( newwpd != nd_wpd ) {
newadv = ROUND_FOR_ALIGN(sizeof(struct oNMV)+(newwpd-1)*sizeof(UINT));
for ( m = r = BDY(p), i = 0; i < len; NMV_ADV(m), NDV_NADV(r), i++ ) {
CZ(r) = CZ(m);
if ( nd_module ) pos = MPOS(DL(m));
for ( j = 0; j < newexporigin; j++ ) DL(r)[j] = DL(m)[j];
adj = nd_exporigin-newexporigin;
for ( ; j < newwpd; j++ ) DL(r)[j] = DL(m)[j+adj];
if ( nd_module ) {
DL(r)[newmpos] = pos;
}
}
}
NV(p)--;
}
void nd_heu_nezgcdnpz(VL vl,P *pl,int m,int full,P *pr)
{
int i;
P *tpl,*tpl1;
NODE l;
P h,gcd,t;
tpl = (P *)MALLOC(m*sizeof(P));
tpl1 = (P *)MALLOC(m*sizeof(P));
bcopy(pl,tpl,m*sizeof(P));
gcd = (P)ONE;
for ( l = nd_hcf; l; l = NEXT(l) ) {
h = (P)BDY(l);
while ( 1 ) {
for ( i = 0; i < m; i++ )
if ( !divtpz(vl,tpl[i],h,&tpl1[i]) )
break;
if ( i == m ) {
bcopy(tpl1,tpl,m*sizeof(P));
mulp(vl,gcd,h,&t); gcd = t;
} else
break;
}
}
if ( DP_Print > 2 ){fprintf(asir_out,"[%d]",nmonop(gcd)); fflush(asir_out);}
if ( full ) {
heu_nezgcdnpz(vl,tpl,m,&t);
mulp(vl,gcd,t,pr);
} else
*pr = gcd;
}
void removecont_array(P *p,int n,int full)
{
int all_p,all_q,i;
Z *c;
P *w;
P t,s;
for ( all_q = 1, i = 0; i < n; i++ )
all_q = all_q && NUM(p[i]);
if ( all_q ) {
removecont_array_q((Z *)p,n);
} else {
c = (Z *)MALLOC(n*sizeof(Z));
w = (P *)MALLOC(n*sizeof(P));
for ( i = 0; i < n; i++ ) {
ptozp(p[i],1,(Q *)&c[i],&w[i]);
}
removecont_array_q(c,n);
nd_heu_nezgcdnpz(nd_vc,w,n,full,&t);
for ( i = 0; i < n; i++ ) {
divsp(nd_vc,w[i],t,&s); mulp(nd_vc,s,(P)c[i],&p[i]);
}
}
}
/* c is an int array */
void removecont_array_q(Z *c,int n)
{
struct oVECT v;
Z d0,d1,a,u,u1,gcd;
int i,j;
Z *q,*r;
q = (Z *)MALLOC(n*sizeof(Z));
r = (Z *)MALLOC(n*sizeof(Z));
v.id = O_VECT; v.len = n; v.body = (pointer *)c;
gcdvz_estimate(&v,&d0);
for ( i = 0; i < n; i++ ) {
divqrz(c[i],d0,&q[i],&r[i]);
}
for ( i = 0; i < n; i++ ) if ( r[i] ) break;
if ( i < n ) {
v.id = O_VECT; v.len = n; v.body = (pointer *)r;
gcdvz(&v,&d1);
gcdz(d0,d1,&gcd);
/* exact division */
divsz(d0,gcd,&a);
for ( i = 0; i < n; i++ ) {
mulz(a,q[i],&u);
if ( r[i] ) {
/* exact division */
divsz(r[i],gcd,&u1);
addz(u,u1,&q[i]);
} else
q[i] = u;
}
}
for ( i = 0; i < n; i++ ) c[i] = q[i];
}
void gcdv_mpz_estimate(mpz_t d0,mpz_t *c,int n);
void mpz_removecont_array(mpz_t *c,int n)
{
mpz_t d0,a,u,u1,gcd;
int i,j;
static mpz_t *q,*r;
static int c_len = 0;
for ( i = 0; i < n; i++ )
if ( mpz_sgn(c[i]) ) break;
if ( i == n ) return;
gcdv_mpz_estimate(d0,c,n);
if ( n > c_len ) {
q = (mpz_t *)MALLOC(n*sizeof(mpz_t));
r = (mpz_t *)MALLOC(n*sizeof(mpz_t));
c_len = n;
}
for ( i = 0; i < n; i++ ) {
mpz_init(q[i]); mpz_init(r[i]);
mpz_fdiv_qr(q[i],r[i],c[i],d0);
}
for ( i = 0; i < n; i++ )
if ( mpz_sgn(r[i]) ) break;
mpz_init(gcd); mpz_init(a); mpz_init(u); mpz_init(u1);
if ( i < n ) {
mpz_gcd(gcd,d0,r[i]);
for ( j = i+1; j < n; j++ ) mpz_gcd(gcd,gcd,r[j]);
mpz_div(a,d0,gcd);
for ( i = 0; i < n; i++ ) {
mpz_mul(u,a,q[i]);
if ( mpz_sgn(r[i]) ) {
mpz_div(u1,r[i],gcd);
mpz_add(q[i],u,u1);
} else
mpz_set(q[i],u);
}
}
for ( i = 0; i < n; i++ )
mpz_set(c[i],q[i]);
}
void nd_mul_c(int mod,ND p,int mul)
{
NM m;
int c,c1;
if ( !p ) return;
if ( mul == 1 ) return;
if ( mod == -1 )
for ( m = BDY(p); m; m = NEXT(m) )
CM(m) = _mulsf(CM(m),mul);
else
for ( m = BDY(p); m; m = NEXT(m) ) {
c1 = CM(m); DMAR(c1,mul,0,mod,c); CM(m) = c;
}
}
void nd_mul_c_lf(ND p,Z mul)
{
NM m;
Z c;
if ( !p ) return;
if ( UNIZ(mul) ) return;
for ( m = BDY(p); m; m = NEXT(m) ) {
mullf(CZ(m),mul,&c); CZ(m) = c;
}
}
void nd_mul_c_q(ND p,P mul)
{
NM m;
P c;
if ( !p ) return;
if ( UNIQ(mul) ) return;
for ( m = BDY(p); m; m = NEXT(m) ) {
mulp(nd_vc,CP(m),mul,&c); CP(m) = c;
}
}
void nd_mul_c_p(VL vl,ND p,P mul)
{
NM m;
P c;
if ( !p ) return;
for ( m = BDY(p); m; m = NEXT(m) ) {
mulp(vl,CP(m),mul,&c); CP(m) = c;
}
}
void nd_free(ND p)
{
NM t,s;
if ( !p ) return;
t = BDY(p);
while ( t ) {
s = NEXT(t);
FREENM(t);
t = s;
}
FREEND(p);
}
void ndv_free(NDV p)
{
GCFREE(BDY(p));
}
void nd_append_red(UINT *d,int i)
{
RHist m,m0;
int h;
NEWRHist(m);
h = ndl_hash_value(d);
m->index = i;
ndl_copy(d,DL(m));
NEXT(m) = nd_red[h];
nd_red[h] = m;
}
UINT *ndv_compute_bound(NDV p)
{
UINT *d1,*d2,*t;
UINT u;
int i,j,k,l,len,ind;
NMV m;
if ( !p )
return 0;
d1 = (UINT *)MALLOC(nd_wpd*sizeof(UINT));
d2 = (UINT *)MALLOC(nd_wpd*sizeof(UINT));
len = LEN(p);
m = BDY(p); ndl_copy(DL(m),d1); NMV_ADV(m);
for ( i = 1; i < len; i++, NMV_ADV(m) ) {
ndl_max(DL(m),d1,d2);
t = d1; d1 = d2; d2 = t;
}
l = nd_nvar+31;
t = (UINT *)MALLOC_ATOMIC(l*sizeof(UINT));
for ( i = nd_exporigin, ind = 0; i < nd_wpd; i++ ) {
u = d1[i];
k = (nd_epw-1)*nd_bpe;
for ( j = 0; j < nd_epw; j++, k -= nd_bpe, ind++ )
t[ind] = (u>>k)&nd_mask0;
}
for ( ; ind < l; ind++ ) t[ind] = 0;
return t;
}
UINT *nd_compute_bound(ND p)
{
UINT *d1,*d2,*t;
UINT u;
int i,j,k,l,len,ind;
NM m;
if ( !p )
return 0;
d1 = (UINT *)MALLOC(nd_wpd*sizeof(UINT));
d2 = (UINT *)MALLOC(nd_wpd*sizeof(UINT));
len = LEN(p);
m = BDY(p); ndl_copy(DL(m),d1); m = NEXT(m);
for ( m = NEXT(m); m; m = NEXT(m) ) {
ndl_lcm(DL(m),d1,d2);
t = d1; d1 = d2; d2 = t;
}
l = nd_nvar+31;
t = (UINT *)MALLOC_ATOMIC(l*sizeof(UINT));
for ( i = nd_exporigin, ind = 0; i < nd_wpd; i++ ) {
u = d1[i];
k = (nd_epw-1)*nd_bpe;
for ( j = 0; j < nd_epw; j++, k -= nd_bpe, ind++ )
t[ind] = (u>>k)&nd_mask0;
}
for ( ; ind < l; ind++ ) t[ind] = 0;
return t;
}
/* if nd_module == 1 then d[nd_exporigin-1] indicates the position */
/* of a term. In this case we need additional 1 word. */
int nd_get_exporigin(struct order_spec *ord)
{
switch ( ord->id ) {
case 0: case 2: case 256: case 258: case 300:
return 1+nd_module;
case 1: case 257:
/* block order */
/* poly ring d[0]:weight d[1]:w0,...,d[nd_exporigin-1]:w(n-1) */
/* 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
default:
error("nd_get_exporigin : ivalid argument.");
return 0;
}
}
void nd_setup_parameters(int nvar,int max) {
int i,j,n,elen,ord_o,ord_l,l,s,wpd;
struct order_pair *op;
nd_nvar = nvar;
if ( max ) {
/* XXX */
if ( do_weyl ) nd_bpe = 32;
else if ( max < 2 ) nd_bpe = 1;
else if ( max < 4 ) nd_bpe = 2;
else if ( max < 8 ) nd_bpe = 3;
else if ( max < 16 ) nd_bpe = 4;
else if ( max < 32 ) nd_bpe = 5;
else if ( max < 64 ) nd_bpe = 6;
else if ( max < 256 ) nd_bpe = 8;
else if ( max < 1024 ) nd_bpe = 10;
else if ( max < 65536 ) nd_bpe = 16;
else nd_bpe = 32;
}
if ( !do_weyl && weight_check && (current_dl_weight_vector || nd_matrix) ) {
UINT t;
int st;
int *v;
/* t = max(weights) */
t = 0;
if ( current_dl_weight_vector )
for ( i = 0, t = 0; i < nd_nvar; i++ ) {
if ( (st=current_dl_weight_vector[i]) < 0 ) st = -st;
if ( t < st ) t = st;
}
if ( nd_matrix )
for ( i = 0; i < nd_matrix_len; i++ )
for ( j = 0, v = nd_matrix[i]; j < nd_nvar; j++ ) {
if ( (st=v[j]) < 0 ) st = -st;
if ( t < st ) t = st;
}
/* i = bitsize of t */
for ( i = 0; t; t >>=1, i++ );
/* i += bitsize of nd_nvar */
for ( t = nd_nvar; t; t >>=1, i++);
/* nd_bpe+i = bitsize of max(weights)*max(exp)*nd_nvar */
if ( (nd_bpe+i) >= 31 )
error("nd_setup_parameters : too large weight");
}
nd_epw = (sizeof(UINT)*8)/nd_bpe;
elen = nd_nvar/nd_epw+(nd_nvar%nd_epw?1:0);
nd_exporigin = nd_get_exporigin(nd_ord);
wpd = nd_exporigin+elen;
if ( nd_module )
nd_mpos = nd_exporigin-1;
else
nd_mpos = -1;
if ( wpd != nd_wpd ) {
nd_free_private_storage();
nd_wpd = wpd;
}
if ( nd_bpe < 32 ) {
nd_mask0 = (1<<nd_bpe)-1;
} else {
nd_mask0 = 0xffffffff;
}
bzero(nd_mask,sizeof(nd_mask));
nd_mask1 = 0;
for ( i = 0; i < nd_epw; i++ ) {
nd_mask[nd_epw-i-1] = (nd_mask0<<(i*nd_bpe));
nd_mask1 |= (1<<(nd_bpe-1))<<(i*nd_bpe);
}
nmv_adv = ROUND_FOR_ALIGN(sizeof(struct oNMV)+(nd_wpd-1)*sizeof(UINT));
nd_epos = nd_create_epos(nd_ord);
nd_blockmask = nd_create_blockmask(nd_ord);
nd_work_vector = (int *)REALLOC(nd_work_vector,nd_nvar*sizeof(int));
}
ND_pairs nd_reconstruct(int trace,ND_pairs d)
{
int i,obpe,oadv,h;
static NM prev_nm_free_list;
static ND_pairs prev_ndp_free_list;
RHist mr0,mr;
RHist r;
RHist *old_red;
ND_pairs s0,s,t;
EPOS oepos;
obpe = nd_bpe;
oadv = nmv_adv;
oepos = nd_epos;
if ( obpe < 2 ) nd_bpe = 2;
else if ( obpe < 3 ) nd_bpe = 3;
else if ( obpe < 4 ) nd_bpe = 4;
else if ( obpe < 5 ) nd_bpe = 5;
else if ( obpe < 6 ) nd_bpe = 6;
else if ( obpe < 8 ) nd_bpe = 8;
else if ( obpe < 10 ) nd_bpe = 10;
else if ( obpe < 16 ) nd_bpe = 16;
else if ( obpe < 32 ) nd_bpe = 32;
else error("nd_reconstruct : exponent too large");
nd_setup_parameters(nd_nvar,0);
prev_nm_free_list = _nm_free_list;
prev_ndp_free_list = _ndp_free_list;
_nm_free_list = 0;
_ndp_free_list = 0;
for ( i = nd_psn-1; i >= 0; i-- ) {
ndv_realloc(nd_ps[i],obpe,oadv,oepos);
ndv_realloc(nd_ps_sym[i],obpe,oadv,oepos);
}
if ( trace )
for ( i = nd_psn-1; i >= 0; i-- ) {
ndv_realloc(nd_ps_trace[i],obpe,oadv,oepos);
ndv_realloc(nd_ps_trace_sym[i],obpe,oadv,oepos);
}
s0 = 0;
for ( t = d; t; t = NEXT(t) ) {
NEXTND_pairs(s0,s);
s->i1 = t->i1;
s->i2 = t->i2;
SG(s) = SG(t);
ndl_reconstruct(LCM(t),LCM(s),obpe,oepos);
}
old_red = (RHist *)MALLOC(REDTAB_LEN*sizeof(RHist));
for ( i = 0; i < REDTAB_LEN; i++ ) {
old_red[i] = nd_red[i];
nd_red[i] = 0;
}
for ( i = 0; i < REDTAB_LEN; i++ )
for ( r = old_red[i]; r; r = NEXT(r) ) {
NEWRHist(mr);
mr->index = r->index;
SG(mr) = SG(r);
ndl_reconstruct(DL(r),DL(mr),obpe,oepos);
h = ndl_hash_value(DL(mr));
NEXT(mr) = nd_red[h];
nd_red[h] = mr;
}
for ( i = 0; i < REDTAB_LEN; i++ ) old_red[i] = 0;
old_red = 0;
for ( i = 0; i < nd_psn; i++ ) {
NEWRHist(r); SG(r) = SG(nd_psh[i]);
ndl_reconstruct(DL(nd_psh[i]),DL(r),obpe,oepos);
nd_psh[i] = r;
}
if ( s0 ) NEXT(s) = 0;
prev_nm_free_list = 0;
prev_ndp_free_list = 0;
#if 0
GC_gcollect();
#endif
return s0;
}
void ndl_reconstruct(UINT *d,UINT *r,int obpe,EPOS oepos)
{
int n,i,ei,oepw,omask0,j,s,ord_l,l;
struct order_pair *op;
n = nd_nvar;
oepw = (sizeof(UINT)*8)/obpe;
omask0 = (1<<obpe)-1;
TD(r) = TD(d);
for ( i = nd_exporigin; i < nd_wpd; i++ ) r[i] = 0;
if ( nd_blockmask ) {
l = nd_blockmask->n;
op = nd_blockmask->order_pair;
for ( i = 1; i < nd_exporigin; i++ )
r[i] = d[i];
for ( j = 0, s = 0; j < l; j++ ) {
ord_l = op[j].length;
for ( i = 0; i < ord_l; i++, s++ ) {
ei = GET_EXP_OLD(d,s);
PUT_EXP(r,s,ei);
}
}
} else {
for ( i = 0; i < n; i++ ) {
ei = GET_EXP_OLD(d,i);
PUT_EXP(r,i,ei);
}
}
if ( nd_module ) MPOS(r) = MPOS(d);
}
ND nd_copy(ND p)
{
NM m,mr,mr0;
int c,n;
ND r;
if ( !p )
return 0;
else {
for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) {
NEXTNM(mr0,mr);
CM(mr) = CM(m);
ndl_copy(DL(m),DL(mr));
}
NEXT(mr) = 0;
MKND(NV(p),mr0,LEN(p),r);
SG(r) = SG(p);
return r;
}
}
int nd_sp(int mod,int trace,ND_pairs p,ND *rp)
{
NM m1,m2;
NDV p1,p2;
ND t1,t2;
UINT *lcm;
P gp,tp;
Z g,t;
Z iq;
int td;
LIST hist;
NODE node;
DP d;
if ( !mod && nd_demand ) {
p1 = ndv_load(p->i1); p2 = ndv_load(p->i2);
} else {
if ( trace ) {
p1 = nd_ps_trace[p->i1]; p2 = nd_ps_trace[p->i2];
} else {
p1 = nd_ps[p->i1]; p2 = nd_ps[p->i2];
}
}
lcm = LCM(p);
NEWNM(m1); ndl_sub(lcm,HDL(p1),DL(m1));
if ( ndl_check_bound2(p->i1,DL(m1)) ) {
FREENM(m1); return 0;
}
NEWNM(m2); ndl_sub(lcm,HDL(p2),DL(m2));
if ( ndl_check_bound2(p->i2,DL(m2)) ) {
FREENM(m1); FREENM(m2); return 0;
}
if ( mod == -1 ) {
CM(m1) = HCM(p2); CM(m2) = _chsgnsf(HCM(p1));
} else if ( mod > 0 ) {
CM(m1) = HCM(p2); CM(m2) = mod-HCM(p1);
} else if ( mod == -2 ) {
CZ(m1) = HCZ(p2); chsgnlf(HCZ(p1),&CZ(m2));
} else if ( nd_vc ) {
ezgcdpz(nd_vc,HCP(p1),HCP(p2),&gp);
divsp(nd_vc,HCP(p2),gp,&CP(m1));
divsp(nd_vc,HCP(p1),gp,&tp); chsgnp(tp,&CP(m2));
} else {
igcd_cofactor(HCZ(p1),HCZ(p2),&g,&t,&CZ(m1)); chsgnz(t,&CZ(m2));
}
t1 = ndv_mul_nm(mod,m1,p1); t2 = ndv_mul_nm(mod,m2,p2);
*rp = nd_add(mod,t1,t2);
if ( nd_gentrace ) {
/* nd_tracelist is initialized */
STOZ(p->i1,iq); nmtodp(mod,m1,&d); node = mknode(4,ONE,iq,d,ONE);
MKLIST(hist,node); MKNODE(nd_tracelist,hist,0);
STOZ(p->i2,iq); nmtodp(mod,m2,&d); node = mknode(4,ONE,iq,d,ONE);
MKLIST(hist,node); MKNODE(node,hist,nd_tracelist);
nd_tracelist = node;
}
FREENM(m1); FREENM(m2);
return 1;
}
void ndv_mul_c(int mod,NDV p,int mul)
{
NMV m;
int c,c1,len,i;
if ( !p ) return;
len = LEN(p);
if ( mod == -1 )
for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) )
CM(m) = _mulsf(CM(m),mul);
else
for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
c1 = CM(m); DMAR(c1,mul,0,mod,c); CM(m) = c;
}
}
void ndv_mul_c_lf(NDV p,Z mul)
{
NMV m;
Z c;
int len,i;
if ( !p ) return;
len = LEN(p);
for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
mullf(CZ(m),mul,&c); CZ(m) = c;
}
}
/* for nd_det */
void ndv_mul_c_q(NDV p,Z mul)
{
NMV m;
Z c;
int len,i;
if ( !p ) return;
len = LEN(p);
for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
mulz(CZ(m),mul,&c); CZ(m) = c;
}
}
ND weyl_ndv_mul_nm(int mod,NM m0,NDV p) {
int n2,i,j,l,n,tlen;
UINT *d0;
NM *tab,*psum;
ND s,r;
NM t;
NMV m1;
if ( !p ) return 0;
n = NV(p); n2 = n>>1;
d0 = DL(m0);
l = LEN(p);
for ( i = 0, tlen = 1; i < n2; i++ ) tlen *= (GET_EXP(d0,n2+i)+1);
tab = (NM *)MALLOC(tlen*sizeof(NM));
psum = (NM *)MALLOC(tlen*sizeof(NM));
for ( i = 0; i < tlen; i++ ) psum[i] = 0;
m1 = (NMV)(((char *)BDY(p))+nmv_adv*(l-1));
for ( i = l-1; i >= 0; i--, NMV_PREV(m1) ) {
/* m0(NM) * m1(NMV) => tab(NM) */
weyl_mul_nm_nmv(n,mod,m0,m1,tab,tlen);
for ( j = 0; j < tlen; j++ ) {
if ( tab[j] ) {
NEXT(tab[j]) = psum[j]; psum[j] = tab[j];
}
}
}
for ( i = tlen-1, r = 0; i >= 0; i-- )
if ( psum[i] ) {
for ( j = 0, t = psum[i]; t; t = NEXT(t), j++ );
MKND(n,psum[i],j,s);
r = nd_add(mod,r,s);
}
if ( r ) SG(r) = SG(p)+TD(d0);
return r;
}
/* product of monomials */
/* XXX block order is not handled correctly */
void weyl_mul_nm_nmv(int n,int mod,NM m0,NMV m1,NM *tab,int tlen)
{
int i,n2,j,s,curlen,homo,h,a,b,k,l,u,min;
UINT *d0,*d1,*d,*dt,*ctab;
Z *ctab_q;
Z q,q1;
UINT c0,c1,c;
NM *p;
NM m,t;
int mpos;
for ( i = 0; i < tlen; i++ ) tab[i] = 0;
if ( !m0 || !m1 ) return;
d0 = DL(m0); d1 = DL(m1); n2 = n>>1;
if ( nd_module )
if ( MPOS(d0) ) error("weyl_mul_nm_nmv : invalid operation");
NEWNM(m); d = DL(m);
if ( mod ) {
c0 = CM(m0); c1 = CM(m1); DMAR(c0,c1,0,mod,c); CM(m) = c;
} else if ( nd_vc )
mulp(nd_vc,CP(m0),CP(m1),&CP(m));
else
mulz(CZ(m0),CZ(m1),&CZ(m));
for ( i = 0; i < nd_wpd; i++ ) d[i] = 0;
homo = n&1 ? 1 : 0;
if ( homo ) {
/* offset of h-degree */
h = GET_EXP(d0,n-1)+GET_EXP(d1,n-1);
PUT_EXP(DL(m),n-1,h);
TD(DL(m)) = h;
if ( nd_blockmask ) ndl_weight_mask(DL(m));
}
tab[0] = m;
NEWNM(m); d = DL(m);
for ( i = 0, curlen = 1; i < n2; i++ ) {
a = GET_EXP(d0,i); b = GET_EXP(d1,n2+i);
k = GET_EXP(d0,n2+i); l = GET_EXP(d1,i);
/* xi^a*(Di^k*xi^l)*Di^b */
a += l; b += k;
s = MUL_WEIGHT(a,i)+MUL_WEIGHT(b,n2+i);
if ( !k || !l ) {
for ( j = 0; j < curlen; j++ )
if ( (t = tab[j]) != 0 ) {
dt = DL(t);
PUT_EXP(dt,i,a); PUT_EXP(dt,n2+i,b); TD(dt) += s;
if ( nd_blockmask ) ndl_weight_mask(dt);
}
curlen *= k+1;
continue;
}
min = MIN(k,l);
if ( mod ) {
ctab = (UINT *)MALLOC((min+1)*sizeof(UINT));
mkwcm(k,l,mod,(int *)ctab);
} else {
ctab_q = (Z *)MALLOC((min+1)*sizeof(Z));
mkwc(k,l,ctab_q);
}
for ( j = min; j >= 0; j-- ) {
for ( u = 0; u < nd_wpd; u++ ) d[u] = 0;
PUT_EXP(d,i,a-j); PUT_EXP(d,n2+i,b-j);
h = MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i);
if ( homo ) {
TD(d) = s;
PUT_EXP(d,n-1,s-h);
} else TD(d) = h;
if ( nd_blockmask ) ndl_weight_mask(d);
if ( mod ) c = ctab[j];
else q = ctab_q[j];
p = tab+curlen*j;
if ( j == 0 ) {
for ( u = 0; u < curlen; u++, p++ ) {
if ( tab[u] ) {
ndl_addto(DL(tab[u]),d);
if ( mod ) {
c0 = CM(tab[u]); DMAR(c0,c,0,mod,c1); CM(tab[u]) = c1;
} else if ( nd_vc )
mulp(nd_vc,CP(tab[u]),(P)q,&CP(tab[u]));
else {
mulz(CZ(tab[u]),q,&q1); CZ(tab[u]) = q1;
}
}
}
} else {
for ( u = 0; u < curlen; u++, p++ ) {
if ( tab[u] ) {
NEWNM(t);
ndl_add(DL(tab[u]),d,DL(t));
if ( mod ) {
c0 = CM(tab[u]); DMAR(c0,c,0,mod,c1); CM(t) = c1;
} else if ( nd_vc )
mulp(nd_vc,CP(tab[u]),(P)q,&CP(t));
else
mulz(CZ(tab[u]),q,&CZ(t));
*p = t;
}
}
}
}
curlen *= k+1;
}
FREENM(m);
if ( nd_module ) {
mpos = MPOS(d1);
for ( i = 0; i < tlen; i++ )
if ( tab[i] ) {
d = DL(tab[i]);
MPOS(d) = mpos;
TD(d) = ndl_weight(d);
}
}
}
ND ndv_mul_nm_symbolic(NM m0,NDV p)
{
NM mr,mr0;
NMV m;
UINT *d,*dt,*dm;
int c,n,td,i,c1,c2,len;
Q q;
ND r;
if ( !p ) return 0;
else {
n = NV(p); m = BDY(p);
d = DL(m0);
len = LEN(p);
mr0 = 0;
td = TD(d);
c = CM(m0);
for ( i = 0; i < len; i++, NMV_ADV(m) ) {
NEXTNM(mr0,mr);
CM(mr) = 1;
ndl_add(DL(m),d,DL(mr));
}
NEXT(mr) = 0;
MKND(NV(p),mr0,len,r);
SG(r) = SG(p) + TD(d);
return r;
}
}
ND ndv_mul_nm(int mod,NM m0,NDV p)
{
NM mr,mr0;
NMV m;
UINT *d,*dt,*dm;
int c,n,td,i,c1,c2,len;
P q;
ND r;
if ( !p ) return 0;
else if ( do_weyl ) {
if ( mod < 0 ) {
error("ndv_mul_nm : not implemented (weyl)");
return 0;
} else
return weyl_ndv_mul_nm(mod,m0,p);
} else {
n = NV(p); m = BDY(p);
d = DL(m0);
len = LEN(p);
mr0 = 0;
td = TD(d);
if ( mod == -1 ) {
c = CM(m0);
for ( i = 0; i < len; i++, NMV_ADV(m) ) {
NEXTNM(mr0,mr);
CM(mr) = _mulsf(CM(m),c);
ndl_add(DL(m),d,DL(mr));
}
} else if ( mod == -2 ) {
Z cl;
cl = CZ(m0);
for ( i = 0; i < len; i++, NMV_ADV(m) ) {
NEXTNM(mr0,mr);
mullf(CZ(m),cl,&CZ(mr));
ndl_add(DL(m),d,DL(mr));
}
} else if ( mod ) {
c = CM(m0);
for ( i = 0; i < len; i++, NMV_ADV(m) ) {
NEXTNM(mr0,mr);
c1 = CM(m);
DMAR(c1,c,0,mod,c2);
CM(mr) = c2;
ndl_add(DL(m),d,DL(mr));
}
} else {
q = CP(m0);
for ( i = 0; i < len; i++, NMV_ADV(m) ) {
NEXTNM(mr0,mr);
mulp(nd_vc,CP(m),q,&CP(mr));
ndl_add(DL(m),d,DL(mr));
}
}
NEXT(mr) = 0;
MKND(NV(p),mr0,len,r);
SG(r) = SG(p) + TD(d);
return r;
}
}
ND nd_quo(int mod,PGeoBucket bucket,NDV d)
{
NM mq0,mq;
NMV tm;
Q q;
int i,nv,sg,c,c1,c2,hindex;
ND p,t,r;
if ( bucket->m < 0 ) return 0;
else {
nv = NV(d);
mq0 = 0;
tm = (NMV)MALLOC(nmv_adv);
while ( 1 ) {
if ( mod > 0 || mod == -1 )
hindex = head_pbucket(mod,bucket);
else if ( mod == -2 )
hindex = head_pbucket_lf(bucket);
else
hindex = head_pbucket_q(bucket);
if ( hindex < 0 ) break;
p = bucket->body[hindex];
NEXTNM(mq0,mq);
ndl_sub(HDL(p),HDL(d),DL(mq));
ndl_copy(DL(mq),DL(tm));
if ( mod ) {
c1 = invm(HCM(d),mod); c2 = HCM(p);
DMAR(c1,c2,0,mod,c); CM(mq) = c;
CM(tm) = mod-c;
} else {
divsz(HCZ(p),HCZ(d),&CZ(mq));
chsgnz(CZ(mq),&CZ(tm));
}
t = ndv_mul_nmv_trunc(mod,tm,d,HDL(d));
bucket->body[hindex] = nd_remove_head(p);
t = nd_remove_head(t);
add_pbucket(mod,bucket,t);
}
if ( !mq0 )
r = 0;
else {
NEXT(mq) = 0;
for ( i = 0, mq = mq0; mq; mq = NEXT(mq), i++ );
MKND(nv,mq0,i,r);
/* XXX */
SG(r) = HTD(r);
}
return r;
}
}
void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos)
{
NMV m,mr,mr0,t;
int len,i,k;
if ( !p ) return;
m = BDY(p); len = LEN(p);
mr0 = nmv_adv>oadv?(NMV)REALLOC(BDY(p),len*nmv_adv):BDY(p);
m = (NMV)((char *)mr0+(len-1)*oadv);
mr = (NMV)((char *)mr0+(len-1)*nmv_adv);
t = (NMV)MALLOC(nmv_adv);
for ( i = 0; i < len; i++, NMV_OPREV(m), NMV_PREV(mr) ) {
CZ(t) = CZ(m);
for ( k = 0; k < nd_wpd; k++ ) DL(t)[k] = 0;
ndl_reconstruct(DL(m),DL(t),obpe,oepos);
CZ(mr) = CZ(t);
ndl_copy(DL(t),DL(mr));
}
BDY(p) = mr0;
}
NDV ndv_dup_realloc(NDV p,int obpe,int oadv,EPOS oepos)
{
NMV m,mr,mr0;
int len,i;
NDV r;
if ( !p ) return 0;
m = BDY(p); len = LEN(p);
mr0 = mr = (NMV)MALLOC(len*nmv_adv);
for ( i = 0; i < len; i++, NMV_OADV(m), NMV_ADV(mr) ) {
ndl_zero(DL(mr));
ndl_reconstruct(DL(m),DL(mr),obpe,oepos);
CZ(mr) = CZ(m);
}
MKNDV(NV(p),mr0,len,r);
SG(r) = SG(p);
return r;
}
/* duplicate p */
NDV ndv_dup(int mod,NDV p)
{
NDV d;
NMV t,m,m0;
int i,len;
if ( !p ) return 0;
len = LEN(p);
m0 = m = (NMV)((mod>0 || mod==-1)?MALLOC_ATOMIC(len*nmv_adv):MALLOC(len*nmv_adv));
for ( t = BDY(p), i = 0; i < len; i++, NMV_ADV(t), NMV_ADV(m) ) {
ndl_copy(DL(t),DL(m));
CZ(m) = CZ(t);
}
MKNDV(NV(p),m0,len,d);
SG(d) = SG(p);
return d;
}
NDV ndv_symbolic(int mod,NDV p)
{
NDV d;
NMV t,m,m0;
int i,len;
if ( !p ) return 0;
len = LEN(p);
m0 = m = (NMV)((mod>0||mod==-1)?MALLOC_ATOMIC(len*nmv_adv):MALLOC(len*nmv_adv));
for ( t = BDY(p), i = 0; i < len; i++, NMV_ADV(t), NMV_ADV(m) ) {
ndl_copy(DL(t),DL(m));
CZ(m) = ONE;
}
MKNDV(NV(p),m0,len,d);
SG(d) = SG(p);
return d;
}
ND nd_dup(ND p)
{
ND d;
NM t,m,m0;
if ( !p ) return 0;
for ( m0 = 0, t = BDY(p); t; t = NEXT(t) ) {
NEXTNM(m0,m);
ndl_copy(DL(t),DL(m));
CZ(m) = CZ(t);
}
if ( m0 ) NEXT(m) = 0;
MKND(NV(p),m0,LEN(p),d);
SG(d) = SG(p);
return d;
}
/* XXX if p->len == 0 then it represents 0 */
void ndv_mod(int mod,NDV p)
{
NMV t,d;
int r,s,u;
int i,len,dlen;
P cp;
Z c;
Obj gfs;
if ( !p ) return;
len = LEN(p);
dlen = 0;
if ( mod == -1 )
for ( t = d = BDY(p), i = 0; i < len; i++, NMV_ADV(t) ) {
simp_ff((Obj)CP(t),&gfs);
if ( gfs ) {
r = FTOIF(CONT((GFS)gfs));
CM(d) = r;
ndl_copy(DL(t),DL(d));
NMV_ADV(d);
dlen++;
}
}
else if ( mod == -2 )
for ( t = d = BDY(p), i = 0; i < len; i++, NMV_ADV(t) ) {
simp_ff((Obj)CP(t),&gfs);
if ( gfs ) {
lmtolf((LM)gfs,&CZ(d));
ndl_copy(DL(t),DL(d));
NMV_ADV(d);
dlen++;
}
}
else
for ( t = d = BDY(p), i = 0; i < len; i++, NMV_ADV(t) ) {
if ( nd_vc ) {
nd_subst_vector(nd_vc,CP(t),nd_subst,&cp);
c = (Z)cp;
} else
c = CZ(t);
r = remqi((Q)c,mod);
if ( r ) {
CM(d) = r;
ndl_copy(DL(t),DL(d));
NMV_ADV(d);
dlen++;
}
}
LEN(p) = dlen;
}
NDV ptondv(VL vl,VL dvl,P p)
{
ND nd;
nd = ptond(vl,dvl,p);
return ndtondv(0,nd);
}
void pltozpl(LIST l,Q *cont,LIST *pp)
{
NODE nd,nd1;
int n;
P *pl;
Q *cl;
int i;
P dmy;
Z dvr,inv;
LIST r;
nd = BDY(l); n = length(nd);
pl = (P *)MALLOC(n*sizeof(P));
cl = (Q *)MALLOC(n*sizeof(Q));
for ( i = 0; i < n; i++, nd = NEXT(nd) ) {
ptozp((P)BDY(nd),1,&cl[i],&dmy);
}
qltozl(cl,n,&dvr);
divz(ONE,dvr,&inv);
nd = BDY(l);
for ( i = 0; i < n; i++, nd = NEXT(nd) )
divsp(CO,(P)BDY(nd),(P)dvr,&pl[i]);
nd = 0;
for ( i = n-1; i >= 0; i-- ) {
MKNODE(nd1,pl[i],nd); nd = nd1;
}
MKLIST(r,nd);
*pp = r;
}
/* (a1,a2,...,an) -> a1*e(1)+...+an*e(n) */
NDV pltondv(VL vl,VL dvl,LIST p)
{
int i;
NODE t;
ND r,ri;
NM m;
if ( !nd_module ) error("pltond : module order must be set");
r = 0;
for ( i = 1, t = BDY(p); t; t = NEXT(t), i++ ) {
ri = ptond(vl,dvl,(P)BDY(t));
if ( ri )
for ( m = BDY(ri); m; m = NEXT(m) ) {
MPOS(DL(m)) = i;
TD(DL(m)) = ndl_weight(DL(m));
if ( nd_blockmask ) ndl_weight_mask(DL(m));
}
r = nd_add(0,r,ri);
}
return ndtondv(0,r);
}
ND ptond(VL vl,VL dvl,P p)
{
int n,i,j,k,e;
VL tvl;
V v;
DCP dc;
DCP *w;
ND r,s,t,u;
P x;
int c;
UINT *d;
NM m,m0;
if ( !p )
return 0;
else if ( NUM(p) ) {
NEWNM(m);
ndl_zero(DL(m));
if ( !INT((Q)p) )
error("ptond : input must be integer-coefficient");
CZ(m) = (Z)p;
NEXT(m) = 0;
MKND(nd_nvar,m,1,r);
SG(r) = 0;
return r;
} else {
for ( dc = DC(p), k = 0; dc; dc = NEXT(dc), k++ );
w = (DCP *)MALLOC(k*sizeof(DCP));
for ( dc = DC(p), j = 0; j < k; dc = NEXT(dc), j++ ) w[j] = dc;
for ( i = 0, tvl = dvl, v = VR(p);
tvl && tvl->v != v; tvl = NEXT(tvl), i++ );
if ( !tvl ) {
for ( j = k-1, s = 0, MKV(v,x); j >= 0; j-- ) {
t = ptond(vl,dvl,COEF(w[j]));
pwrp(vl,x,DEG(w[j]),&p);
nd_mul_c_p(CO,t,p); s = nd_add(0,s,t);
}
return s;
} else {
NEWNM(m0); d = DL(m0);
for ( j = k-1, s = 0; j >= 0; j-- ) {
ndl_zero(d); e = ZTOS(DEG(w[j])); PUT_EXP(d,i,e);
TD(d) = MUL_WEIGHT(e,i);
if ( nd_blockmask) ndl_weight_mask(d);
if ( nd_module ) MPOS(d) = 0;
t = ptond(vl,dvl,COEF(w[j]));
for ( m = BDY(t); m; m = NEXT(m) )
ndl_addto(DL(m),d);
SG(t) += TD(d);
s = nd_add(0,s,t);
}
FREENM(m0);
return s;
}
}
}
P ndvtop(int mod,VL vl,VL dvl,NDV p)
{
VL tvl;
int len,n,j,i,e;
NMV m;
Z q;
P c;
UINT *d;
P s,r,u,t,w;
GFS gfs;
if ( !p ) return 0;
else {
len = LEN(p);
n = NV(p);
m = (NMV)(((char *)BDY(p))+nmv_adv*(len-1));
for ( j = len-1, s = 0; j >= 0; j--, NMV_PREV(m) ) {
if ( mod == -1 ) {
e = IFTOF(CM(m)); MKGFS(e,gfs); c = (P)gfs;
} else if ( mod == -2 ) {
c = (P)CZ(m);
} else if ( mod > 0 ) {
STOZ(CM(m),q); c = (P)q;
} else
c = CP(m);
d = DL(m);
for ( i = 0, t = c, tvl = dvl; i < n; tvl = NEXT(tvl), i++ ) {
MKV(tvl->v,r); e = GET_EXP(d,i); STOZ(e,q);
pwrp(vl,r,q,&u); mulp(vl,t,u,&w); t = w;
}
addp(vl,s,t,&u); s = u;
}
return s;
}
}
LIST ndvtopl(int mod,VL vl,VL dvl,NDV p,int rank)
{
VL tvl;
int len,n,j,i,e;
NMV m;
Z q;
P c;
UINT *d;
P s,r,u,t,w;
GFS gfs;
P *a;
LIST l;
NODE nd,nd1;
if ( !p ) return 0;
else {
a = (P *)MALLOC((rank+1)*sizeof(P));
for ( i = 0; i <= rank; i++ ) a[i] = 0;
len = LEN(p);
n = NV(p);
m = (NMV)(((char *)BDY(p))+nmv_adv*(len-1));
for ( j = len-1; j >= 0; j--, NMV_PREV(m) ) {
if ( mod == -1 ) {
e = IFTOF(CM(m)); MKGFS(e,gfs); c = (P)gfs;
} else if ( mod ) {
STOZ(CM(m),q); c = (P)q;
} else
c = CP(m);
d = DL(m);
for ( i = 0, t = c, tvl = dvl; i < n; tvl = NEXT(tvl), i++ ) {
MKV(tvl->v,r); e = GET_EXP(d,i); STOZ(e,q);
pwrp(vl,r,q,&u); mulp(vl,t,u,&w); t = w;
}
addp(vl,a[MPOS(d)],t,&u); a[MPOS(d)] = u;
}
nd = 0;
for ( i = rank; i > 0; i-- ) {
MKNODE(nd1,a[i],nd); nd = nd1;
}
MKLIST(l,nd);
return l;
}
}
NDV ndtondv(int mod,ND p)
{
NDV d;
NMV m,m0;
NM t;
int i,len;
if ( !p ) return 0;
len = LEN(p);
if ( mod > 0 || mod == -1 )
m0 = m = (NMV)MALLOC_ATOMIC_IGNORE_OFF_PAGE(len*nmv_adv);
else
m0 = m = MALLOC(len*nmv_adv);
#if 0
ndv_alloc += nmv_adv*len;
#endif
for ( t = BDY(p), i = 0; t; t = NEXT(t), i++, NMV_ADV(m) ) {
ndl_copy(DL(t),DL(m));
CZ(m) = CZ(t);
}
MKNDV(NV(p),m0,len,d);
SG(d) = SG(p);
return d;
}
static int dmm_comp_nv;
int dmm_comp(DMM *a,DMM *b)
{
return -compdmm(dmm_comp_nv,*a,*b);
}
void dmm_sort_by_ord(DMM *a,int len,int nv)
{
dmm_comp_nv = nv;
qsort(a,len,sizeof(DMM),(int (*)(const void *,const void *))dmm_comp);
}
void dpm_sort(DPM p,DPM *rp)
{
DMM t,t1;
int len,i,n;
DMM *a;
DPM d;
if ( !p ) *rp = 0;
for ( t = BDY(p), len = 0; t; t = NEXT(t), len++ );
a = (DMM *)MALLOC(len*sizeof(DMM));
for ( i = 0, t = BDY(p); i < len; i++, t = NEXT(t) ) a[i] = t;
n = p->nv;
dmm_sort_by_ord(a,len,n);
t = 0;
for ( i = len-1; i >= 0; i-- ) {
NEWDMM(t1);
t1->c = a[i]->c;
t1->dl = a[i]->dl;
t1->pos = a[i]->pos;
t1->next = t;
t = t1;
}
MKDPM(n,t,d);
SG(d) = SG(p);
*rp = d;
}
int dpm_comp(DPM *a,DPM *b)
{
return -compdpm(CO,*a,*b);
}
NODE dpm_sort_list(NODE l)
{
int i,len;
NODE t,t1;
DPM *a;
len = length(l);
a = (DPM *)MALLOC(len*sizeof(DPM));
for ( t = l, i = 0; i < len; i++, t = NEXT(t) ) a[i] = (DPM)BDY(t);
qsort(a,len,sizeof(DPM),(int (*)(const void *,const void *))dpm_comp);
t = 0;
for ( i = len-1; i >= 0; i-- ) {
MKNODE(t1,(pointer)a[i],t); t = t1;
}
return t;
}
int nmv_comp(NMV a,NMV b)
{
int t;
t = DL_COMPARE(a->dl,b->dl);
return -t;
}
NDV dpmtondv(int mod,DPM p)
{
NDV d;
NMV m,m0;
DMM t;
DMM *a;
int i,len,n;
if ( !p ) return 0;
for ( t = BDY(p), len = 0; t; t = NEXT(t), len++ );
a = (DMM *)MALLOC(len*sizeof(DMM));
for ( i = 0, t = BDY(p); i < len; i++, t = NEXT(t) ) a[i] = t;
n = p->nv;
dmm_sort_by_ord(a,len,n);
if ( mod > 0 || mod == -1 )
m0 = m = (NMV)MALLOC_ATOMIC_IGNORE_OFF_PAGE(len*nmv_adv);
else
m0 = m = MALLOC(len*nmv_adv);
#if 0
ndv_alloc += nmv_adv*len;
#endif
for ( i = 0; i < len; i++, NMV_ADV(m) ) {
dltondl(n,a[i]->dl,DL(m));
MPOS(DL(m)) = a[i]->pos;
TD(DL(m)) = ndl_weight(DL(m));
CZ(m) = (Z)a[i]->c;
}
qsort(m0,len,nmv_adv,(int (*)(const void *,const void *))nmv_comp);
MKNDV(NV(p),m0,len,d);
SG(d) = SG(p);
return d;
}
ND ndvtond(int mod,NDV p)
{
ND d;
NM m,m0;
NMV t;
int i,len;
if ( !p ) return 0;
m0 = 0;
len = p->len;
for ( t = BDY(p), i = 0; i < len; NMV_ADV(t), i++ ) {
NEXTNM(m0,m);
ndl_copy(DL(t),DL(m));
CZ(m) = CZ(t);
}
NEXT(m) = 0;
MKND(NV(p),m0,len,d);
SG(d) = SG(p);
return d;
}
DP ndvtodp(int mod,NDV p)
{
MP m,m0;
DP d;
NMV t;
int i,len;
if ( !p ) return 0;
m0 = 0;
len = p->len;
for ( t = BDY(p), i = 0; i < len; NMV_ADV(t), i++ ) {
NEXTMP(m0,m);
m->dl = ndltodl(nd_nvar,DL(t));
m->c = (Obj)ndctop(mod,t->c);
}
NEXT(m) = 0;
MKDP(nd_nvar,m0,d);
SG(d) = SG(p);
return d;
}
DPM ndvtodpm(int mod,NDV p)
{
DMM m,m0;
DPM d;
NMV t;
int i,len;
if ( !p ) return 0;
m0 = 0;
len = p->len;
for ( t = BDY(p), i = 0; i < len; NMV_ADV(t), i++ ) {
NEXTDMM(m0,m);
m->dl = ndltodl(nd_nvar,DL(t));
m->c = (Obj)ndctop(mod,t->c);
m->pos = MPOS(DL(t));
}
NEXT(m) = 0;
MKDPM(nd_nvar,m0,d);
SG(d) = SG(p);
return d;
}
DP ndtodp(int mod,ND p)
{
MP m,m0;
DP d;
NM t;
int i,len;
if ( !p ) return 0;
m0 = 0;
len = p->len;
for ( t = BDY(p); t; t = NEXT(t) ) {
NEXTMP(m0,m);
m->dl = ndltodl(nd_nvar,DL(t));
m->c = (Obj)ndctop(mod,t->c);
}
NEXT(m) = 0;
MKDP(nd_nvar,m0,d);
SG(d) = SG(p);
return d;
}
void ndv_print(NDV p)
{
NMV m;
int i,len;
if ( !p ) printf("0\n");
else {
len = LEN(p);
for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
if ( CM(m) & 0x80000000 ) printf("+@_%d*",IFTOF(CM(m)));
else printf("+%d*",CM(m));
ndl_print(DL(m));
}
printf("\n");
}
}
void ndv_print_q(NDV p)
{
NMV m;
int i,len;
if ( !p ) printf("0\n");
else {
len = LEN(p);
for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
printf("+");
printexpr(CO,(Obj)CZ(m));
printf("*");
ndl_print(DL(m));
}
printf("\n");
}
}
NODE ndv_reducebase(NODE x,int *perm)
{
int len,i,j;
NDVI w;
NODE t,t0;
len = length(x);
w = (NDVI)MALLOC(len*sizeof(struct oNDVI));
for ( i = 0, t = x; i < len; i++, t = NEXT(t) ) {
w[i].p = BDY(t); w[i].i = perm[i];
}
for ( i = 0; i < len; i++ ) {
for ( j = 0; j < i; j++ ) {
if ( w[i].p && w[j].p ) {
if ( ndl_reducible(HDL(w[i].p),HDL(w[j].p)) ) w[i].p = 0;
else if ( ndl_reducible(HDL(w[j].p),HDL(w[i].p)) ) w[j].p = 0;
}
}
}
for ( i = j = 0, t0 = 0; i < len; i++ ) {
if ( w[i].p ) {
NEXTNODE(t0,t); BDY(t) = (pointer)w[i].p;
perm[j++] = w[i].i;
}
}
NEXT(t) = 0; x = t0;
return x;
}
/* XXX incomplete */
extern DMMstack dmm_stack;
int ndl_module_schreyer_compare(UINT *a,UINT *b);
void nd_init_ord(struct order_spec *ord)
{
nd_module = (ord->id >= 256);
if ( nd_module ) {
nd_dcomp = -1;
nd_module_ordtype = ord->module_ordtype;
nd_pot_nelim = ord->pot_nelim;
nd_poly_weight_len = ord->nv;
nd_poly_weight = ord->top_weight;
nd_module_rank = ord->module_rank;
nd_module_weight = ord->module_top_weight;
}
nd_matrix = 0;
nd_matrix_len = 0;
switch ( ord->id ) {
case 0:
switch ( ord->ord.simple ) {
case 0:
nd_dcomp = 1;
nd_isrlex = 1;
break;
case 1:
nd_dcomp = 1;
nd_isrlex = 0;
break;
case 2:
nd_dcomp = 0;
nd_isrlex = 0;
ndl_compare_function = ndl_lex_compare;
break;
case 11:
/* XXX */
nd_dcomp = 0;
nd_isrlex = 1;
ndl_compare_function = ndl_ww_lex_compare;
break;
default:
error("nd_gr : unsupported order");
}
break;
case 1:
/* block order */
/* XXX */
nd_dcomp = -1;
nd_isrlex = 0;
ndl_compare_function = ndl_block_compare;
break;
case 2:
/* matrix order */
/* XXX */
nd_dcomp = -1;
nd_isrlex = 0;
nd_matrix_len = ord->ord.matrix.row;
nd_matrix = ord->ord.matrix.matrix;
ndl_compare_function = ndl_matrix_compare;
break;
case 3:
/* composite order */
nd_dcomp = -1;
nd_isrlex = 0;
nd_worb_len = ord->ord.composite.length;
nd_worb = ord->ord.composite.w_or_b;
ndl_compare_function = ndl_composite_compare;
break;
/* module order */
case 256:
switch ( ord->ord.simple ) {
case 0:
nd_dcomp = 0;
nd_isrlex = 1;
ndl_compare_function = ndl_module_glex_compare;
break;
case 1:
nd_dcomp = 0;
nd_isrlex = 0;
ndl_compare_function = ndl_module_glex_compare;
break;
case 2:
nd_dcomp = 0;
nd_isrlex = 0;
ndl_compare_function = ndl_module_compare;
ndl_base_compare_function = ndl_lex_compare;
break;
default:
error("nd_init_ord : unsupported order");
}
break;
case 257:
/* block order */
nd_isrlex = 0;
ndl_compare_function = ndl_module_compare;
ndl_base_compare_function = ndl_block_compare;
break;
case 258:
/* matrix order */
nd_isrlex = 0;
nd_matrix_len = ord->ord.matrix.row;
nd_matrix = ord->ord.matrix.matrix;
ndl_compare_function = ndl_module_compare;
ndl_base_compare_function = ndl_matrix_compare;
break;
case 259:
/* composite order */
nd_isrlex = 0;
nd_worb_len = ord->ord.composite.length;
nd_worb = ord->ord.composite.w_or_b;
ndl_compare_function = ndl_module_compare;
ndl_base_compare_function = ndl_composite_compare;
break;
case 300:
/* schreyer order */
if ( ord->base->id != 256 )
error("nd_init_ord : unsupported base order");
ndl_compare_function = ndl_module_schreyer_compare;
dmm_stack = ord->dmmstack;
switch ( ord->base->ord.simple ) {
case 0:
nd_isrlex = 1;
ndl_base_compare_function = ndl_glex_compare;
dl_base_compare_function = cmpdl_revgradlex;
break;
case 1:
nd_isrlex = 0;
ndl_base_compare_function = ndl_glex_compare;
dl_base_compare_function = cmpdl_gradlex;
break;
case 2:
nd_isrlex = 0;
ndl_base_compare_function = ndl_lex_compare;
dl_base_compare_function = cmpdl_lex;
break;
default:
error("nd_init_ord : unsupported order");
}
break;
}
nd_ord = ord;
}
BlockMask nd_create_blockmask(struct order_spec *ord)
{
int n,i,j,s,l;
UINT *t;
BlockMask bm;
/* we only create mask table for block order */
if ( ord->id != 1 && ord->id != 257 )
return 0;
n = ord->ord.block.length;
bm = (BlockMask)MALLOC(sizeof(struct oBlockMask));
bm->n = n;
bm->order_pair = ord->ord.block.order_pair;
bm->mask = (UINT **)MALLOC(n*sizeof(UINT *));
for ( i = 0, s = 0; i < n; i++ ) {
bm->mask[i] = t = (UINT *)MALLOC_ATOMIC(nd_wpd*sizeof(UINT));
for ( j = 0; j < nd_wpd; j++ ) t[j] = 0;
l = bm->order_pair[i].length;
for ( j = 0; j < l; j++, s++ ) PUT_EXP(t,s,nd_mask0);
}
return bm;
}
EPOS nd_create_epos(struct order_spec *ord)
{
int i,j,l,s,ord_l,ord_o;
EPOS epos;
struct order_pair *op;
epos = (EPOS)MALLOC_ATOMIC(nd_nvar*sizeof(struct oEPOS));
switch ( ord->id ) {
case 0: case 256: case 300:
if ( nd_isrlex ) {
for ( i = 0; i < nd_nvar; i++ ) {
epos[i].i = nd_exporigin + (nd_nvar-1-i)/nd_epw;
epos[i].s = (nd_epw-((nd_nvar-1-i)%nd_epw)-1)*nd_bpe;
}
} else {
for ( i = 0; i < nd_nvar; i++ ) {
epos[i].i = nd_exporigin + i/nd_epw;
epos[i].s = (nd_epw-(i%nd_epw)-1)*nd_bpe;
}
}
break;
case 1: case 257:
/* block order */
l = ord->ord.block.length;
op = ord->ord.block.order_pair;
for ( j = 0, s = 0; j < l; j++ ) {
ord_o = op[j].order;
ord_l = op[j].length;
if ( !ord_o )
for ( i = 0; i < ord_l; i++ ) {
epos[s+i].i = nd_exporigin + (s+ord_l-i-1)/nd_epw;
epos[s+i].s = (nd_epw-((s+ord_l-i-1)%nd_epw)-1)*nd_bpe;
}
else
for ( i = 0; i < ord_l; i++ ) {
epos[s+i].i = nd_exporigin + (s+i)/nd_epw;
epos[s+i].s = (nd_epw-((s+i)%nd_epw)-1)*nd_bpe;
}
s += ord_l;
}
break;
case 2:
/* matrix order */
case 3:
/* composite order */
default:
for ( i = 0; i < nd_nvar; i++ ) {
epos[i].i = nd_exporigin + i/nd_epw;
epos[i].s = (nd_epw-(i%nd_epw)-1)*nd_bpe;
}
break;
}
return epos;
}
/* external interface */
void nd_nf_p(Obj f,LIST g,LIST v,int m,struct order_spec *ord,Obj *rp)
{
NODE t,in0,in;
ND ndf,nf;
NDV ndvf;
VL vv,tv;
int stat,nvar,max,mrank;
union oNDC dn;
Q cont;
P pp;
LIST ppl;
if ( !f ) {
*rp = 0;
return;
}
pltovl(v,&vv);
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ );
/* max=65536 implies nd_bpe=32 */
max = 65536;
nd_module = 0;
/* nd_module will be set if ord is a module ordering */
nd_init_ord(ord);
nd_setup_parameters(nvar,max);
if ( nd_module && OID(f) != O_LIST )
error("nd_nf_p : the first argument must be a list");
if ( nd_module ) mrank = length(BDY((LIST)f));
/* conversion to ndv */
for ( in0 = 0, t = BDY(g); t; t = NEXT(t) ) {
NEXTNODE(in0,in);
if ( nd_module ) {
if ( !BDY(t) || OID(BDY(t)) != O_LIST
|| length(BDY((LIST)BDY(t))) != mrank )
error("nd_nf_p : inconsistent basis element");
if ( !m ) pltozpl((LIST)BDY(t),&cont,&ppl);
else ppl = (LIST)BDY(t);
BDY(in) = (pointer)pltondv(CO,vv,ppl);
} else {
if ( !m ) ptozp((P)BDY(t),1,&cont,&pp);
else pp = (P)BDY(t);
BDY(in) = (pointer)ptondv(CO,vv,pp);
}
if ( m ) ndv_mod(m,(NDV)BDY(in));
}
if ( in0 ) NEXT(in) = 0;
if ( nd_module ) ndvf = pltondv(CO,vv,(LIST)f);
else ndvf = ptondv(CO,vv,(P)f);
if ( m ) ndv_mod(m,ndvf);
ndf = (pointer)ndvtond(m,ndvf);
/* dont sort, dont removecont */
ndv_setup(m,0,in0,1,1);
nd_scale=2;
stat = nd_nf(m,0,ndf,nd_ps,1,&nf);
if ( !stat )
error("nd_nf_p : exponent too large");
if ( nd_module ) *rp = (Obj)ndvtopl(m,CO,vv,ndtondv(m,nf),mrank);
else *rp = (Obj)ndvtop(m,CO,vv,ndtondv(m,nf));
}
int nd_to_vect(int mod,UINT *s0,int n,ND d,UINT *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] = CM(m);
}
for ( i = 0; !r[i]; i++ );
return i;
}
int nd_to_vect_q(UINT *s0,int n,ND d,Z *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] = CZ(m);
}
for ( i = 0; !r[i]; i++ );
return i;
}
int nd_to_vect_lf(UINT *s0,int n,ND d,mpz_t *r)
{
NM m;
UINT *t,*s;
int i;
for ( i = 0; i < n; i++ ) { mpz_init(r[i]); mpz_set_ui(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++ );
mpz_set(r[i],BDY(CZ(m)));
}
for ( i = 0; !mpz_sgn(r[i]); i++ );
return i;
}
unsigned long *nd_to_vect_2(UINT *s0,int n,int *s0hash,ND p)
{
NM m;
unsigned long *v;
int i,j,h,size;
UINT *s,*t;
size = sizeof(unsigned long)*(n+BLEN-1)/BLEN;
v = (unsigned long *)MALLOC_ATOMIC_IGNORE_OFF_PAGE(size);
bzero(v,size);
for ( i = j = 0, s = s0, m = BDY(p); m; j++, m = NEXT(m) ) {
t = DL(m);
h = ndl_hash_value(t);
for ( ; h != s0hash[i] || !ndl_equal(t,s); s += nd_wpd, i++ );
v[i/BLEN] |= 1L <<(i%BLEN);
}
return v;
}
int nd_nm_to_vect_2(UINT *s0,int n,int *s0hash,NDV p,NM m,unsigned long *v)
{
NMV mr;
UINT *d,*t,*s;
int i,j,len,h,head;
d = DL(m);
len = LEN(p);
t = (UINT *)MALLOC(nd_wpd*sizeof(UINT));
for ( i = j = 0, s = s0, mr = BDY(p); j < len; j++, NMV_ADV(mr) ) {
ndl_add(d,DL(mr),t);
h = ndl_hash_value(t);
for ( ; h != s0hash[i] || !ndl_equal(t,s); s += nd_wpd, i++ );
if ( j == 0 ) head = i;
v[i/BLEN] |= 1L <<(i%BLEN);
}
return head;
}
Z *nm_ind_pair_to_vect(int mod,UINT *s0,int n,NM_ind_pair pair)
{
NM m;
NMV mr;
UINT *d,*t,*s;
NDV p;
int i,j,len;
Z *r;
m = pair->mul;
d = DL(m);
p = nd_ps[pair->index];
len = LEN(p);
r = (Z *)CALLOC(n,sizeof(Q));
t = (UINT *)MALLOC(nd_wpd*sizeof(UINT));
for ( i = j = 0, s = s0, mr = BDY(p); j < len; j++, NMV_ADV(mr) ) {
ndl_add(d,DL(mr),t);
for ( ; !ndl_equal(t,s); s += nd_wpd, i++ );
r[i] = CZ(mr);
}
return r;
}
IndArray nm_ind_pair_to_vect_compress(int trace,UINT *s0,int n,NM_ind_pair pair,int start)
{
NM m;
NMV mr;
UINT *d,*t,*s,*u;
NDV p;
unsigned char *ivc;
unsigned short *ivs;
UINT *v,*ivi,*s0v;
int i,j,len,prev,diff,cdiff,h,st,ed,md,c;
IndArray r;
m = pair->mul;
d = DL(m);
if ( trace )
p = nd_demand?nd_ps_trace_sym[pair->index]:nd_ps_trace[pair->index];
else
p = nd_demand?nd_ps_sym[pair->index]:nd_ps[pair->index];
len = LEN(p);
t = (UINT *)MALLOC(nd_wpd*sizeof(UINT));
v = (unsigned int *)MALLOC(len*sizeof(unsigned int));
for ( prev = start, mr = BDY(p), j = 0; j < len; j++, NMV_ADV(mr) ) {
ndl_add(d,DL(mr),t);
st = prev;
ed = n;
while ( ed > st ) {
md = (st+ed)/2;
u = s0+md*nd_wpd;
c = DL_COMPARE(u,t);
if ( c == 0 ) break;
else if ( c > 0 ) st = md;
else ed = md;
}
prev = v[j] = md;
}
r = (IndArray)MALLOC(sizeof(struct oIndArray));
r->head = v[0];
diff = 0;
for ( i = 1; i < len; i++ ) {
cdiff = v[i]-v[i-1]; diff = MAX(cdiff,diff);
}
if ( diff < 256 ) {
r->width = 1;
ivc = (unsigned char *)MALLOC_ATOMIC(len*sizeof(unsigned char));
r->index.c = ivc;
for ( i = 1, ivc[0] = 0; i < len; i++ ) ivc[i] = v[i]-v[i-1];
} else if ( diff < 65536 ) {
r->width = 2;
ivs = (unsigned short *)MALLOC_ATOMIC(len*sizeof(unsigned short));
r->index.s = ivs;
for ( i = 1, ivs[0] = 0; i < len; i++ ) ivs[i] = v[i]-v[i-1];
} else {
r->width = 4;
ivi = (unsigned int *)MALLOC_ATOMIC(len*sizeof(unsigned int));
r->index.i = ivi;
for ( i = 1, ivi[0] = 0; i < len; i++ ) ivi[i] = v[i]-v[i-1];
}
return r;
}
int compress_array(Z *svect,Z *cvect,int n)
{
int i,j;
for ( i = j = 0; i < n; i++ )
if ( svect[i] ) cvect[j++] = svect[i];
return j;
}
void expand_array(Z *svect,Z *cvect,int n)
{
int i,j;
for ( i = j = 0; j < n; i++ )
if ( svect[i] ) svect[i] = cvect[j++];
}
#if 0
int ndv_reduce_vect_q(Z *svect,int trace,int col,IndArray *imat,NM_ind_pair *rp0,int nred)
{
int i,j,k,len,pos,prev,nz;
Z cs,mcs,c1,c2,cr,gcd,t;
IndArray ivect;
unsigned char *ivc;
unsigned short *ivs;
unsigned int *ivi;
NDV redv;
NMV mr;
NODE rp;
int maxrs;
double hmag;
Z *cvect;
int l;
maxrs = 0;
for ( i = 0; i < col && !svect[i]; i++ );
if ( i == col ) return maxrs;
hmag = p_mag((P)svect[i])*nd_scale;
cvect = (Z *)MALLOC(col*sizeof(Q));
for ( i = 0; i < nred; i++ ) {
ivect = imat[i];
k = ivect->head;
if ( svect[k] ) {
maxrs = MAX(maxrs,rp0[i]->sugar);
redv = nd_demand?ndv_load(rp0[i]->index)
:(trace?nd_ps_trace[rp0[i]->index]:nd_ps[rp0[i]->index]);
len = LEN(redv); mr = BDY(redv);
igcd_cofactor(svect[k],CZ(mr),&gcd,&cs,&cr);
chsgnz(cs,&mcs);
if ( !UNIQ(cr) ) {
for ( j = 0; j < col; j++ ) {
mulz(svect[j],cr,&c1); svect[j] = c1;
}
}
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]; prev = pos;
muladdtoz(CZ(mr),mcs,&svect[pos]);
}
break;
case 2:
ivs = ivect->index.s;
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
pos = prev+ivs[j]; prev = pos;
muladdtoz(CZ(mr),mcs,&svect[pos]);
}
break;
case 4:
ivi = ivect->index.i;
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
pos = prev+ivi[j]; prev = pos;
muladdtoz(CZ(mr),mcs,&svect[pos]);
}
break;
}
for ( j = k+1; j < col && !svect[j]; j++ );
if ( j == col ) break;
if ( hmag && ((double)p_mag((P)svect[j]) > hmag) ) {
nz = compress_array(svect,cvect,col);
removecont_array((P *)cvect,nz,1);
expand_array(svect,cvect,nz);
hmag = ((double)p_mag((P)svect[j]))*nd_scale;
}
}
}
nz = compress_array(svect,cvect,col);
removecont_array((P *)cvect,nz,1);
expand_array(svect,cvect,nz);
if ( DP_Print ) {
fprintf(asir_out,"-"); fflush(asir_out);
}
return maxrs;
}
#else
/* direct mpz version */
int ndv_reduce_vect_q(Z *svect0,int trace,int col,IndArray *imat,NM_ind_pair *rp0,int nred)
{
int i,j,k,len,pos,prev;
mpz_t cs,cr,gcd;
IndArray ivect;
unsigned char *ivc;
unsigned short *ivs;
unsigned int *ivi;
NDV redv;
NMV mr;
NODE rp;
int maxrs;
double hmag;
int l;
static mpz_t *svect;
static int svect_len=0;
maxrs = 0;
for ( i = 0; i < col && !svect0[i]; i++ );
if ( i == col ) return maxrs;
hmag = p_mag((P)svect0[i])*nd_scale;
if ( col > svect_len ) {
svect = (mpz_t *)MALLOC(col*sizeof(mpz_t));
svect_len = col;
}
for ( i = 0; i < col; i++ ) {
mpz_init(svect[i]);
if ( svect0[i] )
mpz_set(svect[i],BDY(svect0[i]));
else
mpz_set_ui(svect[i],0);
}
mpz_init(gcd); mpz_init(cs); mpz_init(cr);
for ( i = 0; i < nred; i++ ) {
ivect = imat[i];
k = ivect->head;
if ( mpz_sgn(svect[k]) ) {
maxrs = MAX(maxrs,rp0[i]->sugar);
redv = nd_demand?ndv_load(rp0[i]->index)
:(trace?nd_ps_trace[rp0[i]->index]:nd_ps[rp0[i]->index]);
len = LEN(redv); mr = BDY(redv);
mpz_gcd(gcd,svect[k],BDY(CZ(mr)));
mpz_div(cs,svect[k],gcd);
mpz_div(cr,BDY(CZ(mr)),gcd);
mpz_neg(cs,cs);
if ( MUNIMPZ(cr) )
for ( j = 0; j < col; j++ ) mpz_neg(svect[j],svect[j]);
else if ( !UNIMPZ(cr) )
for ( j = 0; j < col; j++ ) {
if ( mpz_sgn(svect[j]) ) mpz_mul(svect[j],svect[j],cr);
}
mpz_set_ui(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]; prev = pos;
mpz_addmul(svect[pos],BDY(CZ(mr)),cs);
}
break;
case 2:
ivs = ivect->index.s;
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
pos = prev+ivs[j]; prev = pos;
mpz_addmul(svect[pos],BDY(CZ(mr)),cs);
}
break;
case 4:
ivi = ivect->index.i;
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
pos = prev+ivi[j]; prev = pos;
mpz_addmul(svect[pos],BDY(CZ(mr)),cs);
}
break;
}
for ( j = k+1; j < col && !svect[j]; j++ );
if ( j == col ) break;
if ( hmag && ((double)mpz_sizeinbase(svect[j],2) > hmag) ) {
mpz_removecont_array(svect,col);
hmag = ((double)mpz_sizeinbase(svect[j],2))*nd_scale;
}
}
}
mpz_removecont_array(svect,col);
if ( DP_Print ) {
fprintf(asir_out,"-"); fflush(asir_out);
}
for ( i = 0; i < col; i++ )
if ( mpz_sgn(svect[i]) ) MPZTOZ(svect[i],svect0[i]);
else svect0[i] = 0;
return maxrs;
}
#endif
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;
UINT c,c1,c2,c3,up,lo,dmy;
IndArray ivect;
unsigned char *ivc;
unsigned short *ivs;
unsigned int *ivi;
NDV redv;
NMV mr;
NODE rp;
int maxrs;
maxrs = 0;
for ( i = 0; i < nred; i++ ) {
ivect = imat[i];
k = ivect->head; svect[k] %= m;
if ( (c = svect[k]) != 0 ) {
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];
DMA(c1,c,c2,up,lo);
if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3;
} else svect[pos] = lo;
}
}
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];
DMA(c1,c,c2,up,lo);
if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3;
} else svect[pos] = lo;
}
}
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];
DMA(c1,c,c2,up,lo);
if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3;
} else svect[pos] = lo;
}
}
break;
}
}
}
for ( i = 0; i < col; i++ )
if ( svect[i] >= (UINT)m ) svect[i] %= m;
return maxrs;
}
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;
UINT c,c1,c2,c3,up,lo,dmy;
IndArray ivect;
unsigned char *ivc;
unsigned short *ivs;
unsigned int *ivi;
NDV redv;
NMV mr;
NODE rp;
int maxrs;
maxrs = 0;
for ( i = 0; i < nred; i++ ) {
ivect = imat[i];
k = ivect->head;
if ( (c = svect[k]) != 0 ) {
maxrs = MAX(maxrs,rp0[i]->sugar);
c = _chsgnsf(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]; prev = pos;
svect[pos] = _addsf(_mulsf(CM(mr),c),svect[pos]);
}
break;
case 2:
ivs = ivect->index.s;
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
pos = prev+ivs[j]; prev = pos;
svect[pos] = _addsf(_mulsf(CM(mr),c),svect[pos]);
}
break;
case 4:
ivi = ivect->index.i;
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
pos = prev+ivi[j]; prev = pos;
svect[pos] = _addsf(_mulsf(CM(mr),c),svect[pos]);
}
break;
}
}
}
return maxrs;
}
ND nd_add_lf(ND p1,ND p2)
{
int n,c,can;
ND r;
NM m1,m2,mr0,mr,s;
Z t;
if ( !p1 ) return p2;
else if ( !p2 ) return p1;
else {
can = 0;
for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) {
c = DL_COMPARE(DL(m1),DL(m2));
switch ( c ) {
case 0:
addlf(CZ(m1),CZ(m2),&t);
s = m1; m1 = NEXT(m1);
if ( t ) {
can++; NEXTNM2(mr0,mr,s); CZ(mr) = (t);
} else {
can += 2; FREENM(s);
}
s = m2; m2 = NEXT(m2); FREENM(s);
break;
case 1:
s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s);
break;
case -1:
s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s);
break;
}
}
if ( !mr0 )
if ( m1 ) mr0 = m1;
else if ( m2 ) mr0 = m2;
else return 0;
else if ( m1 ) NEXT(mr) = m1;
else if ( m2 ) NEXT(mr) = m2;
else NEXT(mr) = 0;
BDY(p1) = mr0;
SG(p1) = MAX(SG(p1),SG(p2));
LEN(p1) = LEN(p1)+LEN(p2)-can;
FREEND(p2);
return p1;
}
}
int ndv_reduce_vect_lf(mpz_t *svect,int trace,int col,IndArray *imat,NM_ind_pair *rp0,int nred)
{
int i,j,k,len,pos,prev;
mpz_t c,mc,c1;
IndArray ivect;
unsigned char *ivc;
unsigned short *ivs;
unsigned int *ivi;
NDV redv;
NMV mr;
NODE rp;
int maxrs;
maxrs = 0;
lf_lazy = 1;
for ( i = 0; i < nred; i++ ) {
ivect = imat[i];
k = ivect->head;
mpz_mod(svect[k],svect[k],BDY(current_mod_lf));
if ( mpz_sgn(svect[k]) ) {
maxrs = MAX(maxrs,rp0[i]->sugar);
mpz_neg(svect[k],svect[k]);
redv = trace?nd_ps_trace[rp0[i]->index]:nd_ps[rp0[i]->index];
len = LEN(redv); mr = BDY(redv);
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]; prev = pos;
mpz_addmul(svect[pos],svect[k],BDY(CZ(mr)));
}
break;
case 2:
ivs = ivect->index.s;
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
pos = prev+ivs[j]; prev = pos;
mpz_addmul(svect[pos],svect[k],BDY(CZ(mr)));
}
break;
case 4:
ivi = ivect->index.i;
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
pos = prev+ivi[j]; prev = pos;
mpz_addmul(svect[pos],svect[k],BDY(CZ(mr)));
}
break;
}
mpz_set_ui(svect[k],0);
}
}
lf_lazy=0;
for ( i = 0; i < col; i++ ) {
mpz_mod(svect[i],svect[i],BDY(current_mod_lf));
}
return maxrs;
}
int nd_gauss_elim_lf(mpz_t **mat0,int *sugar,int row,int col,int *colstat)
{
int i,j,k,l,rank,s;
mpz_t a,a1,inv;
mpz_t *t,*pivot,*pk;
mpz_t **mat;
struct oEGT eg0,eg1,eg_forward,eg_mod,eg_back;
int size,size1;
mpz_init(inv);
mpz_init(a);
mat = (mpz_t **)mat0;
size = 0;
for ( rank = 0, j = 0; j < col; j++ ) {
for ( i = rank; i < row; i++ ) {
mpz_mod(mat[i][j],mat[i][j],BDY(current_mod_lf));
}
for ( i = rank; i < row; i++ )
if ( mpz_sgn(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;
s = sugar[i]; sugar[i] = sugar[rank]; sugar[rank] = s;
}
pivot = mat[rank];
s = sugar[rank];
mpz_invert(inv,pivot[j],BDY(current_mod_lf));
for ( k = j, pk = pivot+k; k < col; k++, pk++ )
if ( mpz_sgn(*pk) ) {
mpz_mul(a,*pk,inv); mpz_mod(*pk,a,BDY(current_mod_lf));
}
for ( i = rank+1; i < row; i++ ) {
t = mat[i];
if ( mpz_sgn(t[j]) ) {
sugar[i] = MAX(sugar[i],s);
mpz_neg(a,t[j]);
red_by_vect_lf(t+j,pivot+j,a,col-j);
}
}
rank++;
}
for ( j = col-1, l = rank-1; j >= 0; j-- )
if ( colstat[j] ) {
pivot = mat[l];
s = sugar[l];
for ( k = j; k < col; k++ )
mpz_mod(pivot[k],pivot[k],BDY(current_mod_lf));
for ( i = 0; i < l; i++ ) {
t = mat[i];
if ( mpz_sgn(t[j]) ) {
sugar[i] = MAX(sugar[i],s);
mpz_neg(a,t[j]);
red_by_vect_lf(t+j,pivot+j,a,col-j);
}
}
l--;
}
for ( j = 0, l = 0; l < rank; j++ )
if ( colstat[j] ) {
t = mat[l];
for ( k = j; k < col; k++ ) {
mpz_mod(t[k],t[k],BDY(current_mod_lf));
}
l++;
}
return rank;
}
NDV vect_to_ndv(UINT *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 = vect[k++]) != 0 ) {
ndl_copy(p,DL(mr)); CM(mr) = c; NMV_ADV(mr);
}
}
MKNDV(nd_nvar,mr0,len,r);
return r;
}
}
NDV vect_to_ndv_2(unsigned long *vect,int col,UINT *s0vect)
{
int j,k,len;
UINT *p;
NDV r;
NMV mr0,mr;
for ( j = 0, len = 0; j < col; j++ ) if ( vect[j/BLEN] & (1L<<(j%BLEN)) ) len++;
if ( !len ) return 0;
else {
mr0 = (NMV)MALLOC_ATOMIC_IGNORE_OFF_PAGE(nmv_adv*len);
mr = mr0;
p = s0vect;
for ( j = 0; j < col; j++, p += nd_wpd )
if ( vect[j/BLEN] & (1L<<(j%BLEN)) ) {
ndl_copy(p,DL(mr)); CM(mr) = 1; NMV_ADV(mr);
}
MKNDV(nd_nvar,mr0,len,r);
return r;
}
}
/* for preprocessed vector */
NDV vect_to_ndv_q(Z *vect,int spcol,int col,int *rhead,UINT *s0vect)
{
int j,k,len;
UINT *p;
Z 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(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 = vect[k++]) != 0 ) {
if ( !INT(c) )
error("vect_to_ndv_q : components must be integers");
ndl_copy(p,DL(mr)); CZ(mr) = c; NMV_ADV(mr);
}
}
}
MKNDV(nd_nvar,mr0,len,r);
return r;
}
}
NDV vect_to_ndv_lf(mpz_t *vect,int spcol,int col,int *rhead,UINT *s0vect)
{
int j,k,len;
UINT *p;
mpz_t c;
NDV r;
NMV mr0,mr;
for ( j = 0, len = 0; j < spcol; j++ ) if ( mpz_sgn(vect[j]) ) len++;
if ( !len ) return 0;
else {
mr0 = (NMV)MALLOC(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] ) {
c[0] = vect[k++][0];
if ( mpz_sgn(c) ) {
ndl_copy(p,DL(mr)); MPZTOZ(c,CZ(mr)); NMV_ADV(mr);
}
}
MKNDV(nd_nvar,mr0,len,r);
return r;
}
}
/* for plain vector */
NDV plain_vect_to_ndv_q(Z *vect,int col,UINT *s0vect)
{
int j,k,len;
UINT *p;
Z 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(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, k++ )
if ( (c = vect[k]) != 0 ) {
if ( !INT(c) )
error("plain_vect_to_ndv_q : components must be integers");
ndl_copy(p,DL(mr)); CZ(mr) = c; NMV_ADV(mr);
}
MKNDV(nd_nvar,mr0,len,r);
return r;
}
}
int nd_sp_f4(int m,int trace,ND_pairs l,PGeoBucket bucket)
{
ND_pairs t;
NODE sp0,sp;
int stat;
ND spol;
for ( t = l; t; t = NEXT(t) ) {
stat = nd_sp(m,trace,t,&spol);
if ( !stat ) return 0;
if ( spol ) {
add_pbucket_symbolic(bucket,spol);
}
}
return 1;
}
int nd_symbolic_preproc(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;
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(DL(head));
if ( index >= 0 ) {
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]);
MKNM_ind_pair(pair,mul,index,sugar);
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;
}
void print_ndp(ND_pairs l)
{
ND_pairs t;
for ( t = l; t; t = NEXT(t) )
printf("[%d,%d] ",t->i1,t->i2);
printf("\n");
}
NODE nd_f4(int m,int checkonly,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,nzlist,nzlist_t;
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;
init_eg(&f4_symb); init_eg(&f4_conv); init_eg(&f4_conv); init_eg(&f4_elim1); init_eg(&f4_elim2);
#if 0
ndv_alloc = 0;
#endif
Nf4_red=0;
g = 0; d = 0;
for ( i = 0; i < nd_psn; i++ ) {
d = update_pairs(d,g,i,0);
g = update_base(g,i);
}
nzlist = 0;
nzlist_t = nd_nzlist;
f4red = 1;
nd_last_nonzero = 0;
while ( d ) {
get_eg(&eg0);
l = nd_minsugarp(d,&d);
sugar = nd_sugarweight?l->sugar2:SG(l);
if ( MaxDeg > 0 && sugar > MaxDeg ) break;
if ( nzlist_t ) {
node = BDY((LIST)BDY(nzlist_t));
sugarh = ZTOS((Q)ARG0(node));
tn = BDY((LIST)ARG1(node));
if ( !tn ) {
nzlist_t = NEXT(nzlist_t);
continue;
}
/* tn = [[i1,i2],...] */
lh = nd_ipairtospair(tn);
}
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(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;
}
get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1); add_eg(&f4_symb,&eg0,&eg1);
if ( DP_Print )
fprintf(asir_out,"sugar=%d,symb=%.3fsec,",
sugar,eg_f4.exectime);
nflist = nd_f4_red(m,nd_nzlist?lh: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);
if ( !m && nd_nalg ) {
ND nf1;
nf1 = ndvtond(m,nf);
nd_monic(0,&nf1);
nd_removecont(m,nf1);
nf = ndtondv(m,nf1);
}
nh = ndv_newps(m,nf,0,1);
d = update_pairs(d,g,nh,0);
g = update_base(g,nh);
}
if ( DP_Print ) {
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) ) {
NEXTNODE(tn0,tn);
STOZ(t->i1,i1); STOZ(t->i2,i2);
node = mknode(2,i1,i2); MKLIST(l0,node);
BDY(tn) = l0;
}
if ( tn0 ) NEXT(tn) = 0; MKLIST(l0,tn0);
STOZ(sugar,sugarq); node = mknode(2,sugarq,l0); MKLIST(l1,node);
MKNODE(node,l1,nzlist); nzlist = node;
}
if ( nd_nzlist ) nzlist_t = NEXT(nzlist_t);
f4red++;
if ( nd_f4red && f4red > nd_f4red ) break;
if ( nd_rank0 && !nflist ) break;
}
if ( nd_gentrace ) {
MKLIST(l0,reverse_node(nzlist));
MKNODE(nd_alltracelist,l0,0);
}
#if 0
fprintf(asir_out,"ndv_alloc=%d\n",ndv_alloc);
#endif
if ( DP_Print ) {
fprintf(asir_out,"number of red=%d,",Nf4_red);
fprintf(asir_out,"symb=%.3fsec,conv=%.3fsec,elim1=%.3fsec,elim2=%.3fsec\n",
f4_symb.exectime,f4_conv.exectime,f4_elim1.exectime,f4_elim2.exectime);
}
conv_ilist(nd_demand,0,g,indp);
return g;
}
NODE nd_f4_trace(int m,int **indp)
{
int i,nh,stat,index;
NODE r,g;
ND_pairs d,l,l0,t;
ND spol,red;
NDV nf,redv,nfqv,nfv;
NM s0,s;
NODE rp0,srp0,nflist;
int nsp,nred,col,rank,len,k,j,a;
UINT c;
UINT **spmat;
UINT *s0vect,*svect,*p,*v;
int *colstat;
IndArray *imat;
int *rhead;
int spcol,sprow;
int sugar;
PGeoBucket bucket;
struct oEGT eg0,eg1,eg_f4;
g = 0; d = 0;
for ( i = 0; i < nd_psn; i++ ) {
d = update_pairs(d,g,i,0);
g = update_base(g,i);
}
while ( d ) {
get_eg(&eg0);
l = nd_minsugarp(d,&d);
sugar = 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(1,d);
continue;
}
if ( bucket->m < 0 ) continue;
col = nd_symbolic_preproc(bucket,0,&s0vect,&rp0);
if ( !col ) {
for ( t = l; NEXT(t); t = NEXT(t) );
NEXT(t) = d; d = l;
d = nd_reconstruct(1,d);
continue;
}
get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1);
if ( DP_Print )
fprintf(asir_out,"\nsugar=%d,symb=%.3fsec,",
sugar,eg_f4.exectime);
nflist = nd_f4_red(m,l,0,s0vect,col,rp0,&l0);
if ( !l0 ) continue;
l = l0;
/* over Q */
bucket = create_pbucket();
stat = nd_sp_f4(0,1,l,bucket);
if ( !stat ) {
for ( t = l; NEXT(t); t = NEXT(t) );
NEXT(t) = d; d = l;
d = nd_reconstruct(1,d);
continue;
}
if ( bucket->m < 0 ) continue;
col = nd_symbolic_preproc(bucket,1,&s0vect,&rp0);
if ( !col ) {
for ( t = l; NEXT(t); t = NEXT(t) );
NEXT(t) = d; d = l;
d = nd_reconstruct(1,d);
continue;
}
nflist = nd_f4_red(0,l,1,s0vect,col,rp0,0);
/* adding new bases */
for ( r = nflist; r; r = NEXT(r) ) {
nfqv = (NDV)BDY(r);
ndv_removecont(0,nfqv);
if ( !remqi((Q)HCZ(nfqv),m) ) return 0;
if ( nd_nalg ) {
ND nf1;
nf1 = ndvtond(m,nfqv);
nd_monic(0,&nf1);
nd_removecont(0,nf1);
nfqv = ndtondv(0,nf1); nd_free(nf1);
}
nfv = ndv_dup(0,nfqv);
ndv_mod(m,nfv);
ndv_removecont(m,nfv);
nh = ndv_newps(0,nfv,nfqv,1);
d = update_pairs(d,g,nh,0);
g = update_base(g,nh);
}
}
#if 0
fprintf(asir_out,"ndv_alloc=%d\n",ndv_alloc);
#endif
conv_ilist(nd_demand,1,g,indp);
return g;
}
int rref(matrix mat,int *sugar)
{
int row,col,i,j,k,l,s,wcol,wj;
unsigned long bj;
unsigned long **a;
unsigned long *ai,*ak,*as,*t;
int *pivot;
row = mat->row;
col = mat->col;
a = mat->a;
wcol = (col+BLEN-1)/BLEN;
pivot = (int *)MALLOC_ATOMIC(row*sizeof(int));
i = 0;
for ( j = 0; j < col; j++ ) {
wj = j/BLEN; bj = 1L<<(j%BLEN);
for ( k = i; k < row; k++ )
if ( a[k][wj] & bj ) break;
if ( k == row ) continue;
pivot[i] = j;
if ( k != i ) {
t = a[i]; a[i] = a[k]; a[k] = t;
s = sugar[i]; sugar[i] = sugar[k]; sugar[k] = s;
}
ai = a[i];
for ( k = i+1; k < row; k++ ) {
ak = a[k];
if ( ak[wj] & bj ) {
for ( l = wj; l < wcol; l++ )
ak[l] ^= ai[l];
sugar[k] = MAX(sugar[k],sugar[i]);
}
}
i++;
}
for ( k = i-1; k >= 0; k-- ) {
j = pivot[k]; wj = j/BLEN; bj = 1L<<(j%BLEN);
ak = a[k];
for ( s = 0; s < k; s++ ) {
as = a[s];
if ( as[wj] & bj ) {
for ( l = wj; l < wcol; l++ )
as[l] ^= ak[l];
sugar[s] = MAX(sugar[s],sugar[k]);
}
}
}
return i;
}
void print_matrix(matrix mat)
{
int row,col,i,j;
unsigned long *ai;
row = mat->row;
col = mat->col;
printf("%d x %d\n",row,col);
for ( i = 0; i < row; i++ ) {
ai = mat->a[i];
for ( j = 0; j < col; j++ ) {
if ( ai[j/BLEN] & (1L<<(j%BLEN)) ) putchar('1');
else putchar('0');
}
putchar('\n');
}
}
NDV vect_to_ndv_2(unsigned long *vect,int col,UINT *s0vect);
void red_by_vect_2(matrix mat,int *sugar,unsigned long *v,int rhead,int rsugar)
{
int row,col,wcol,wj,i,j;
unsigned long bj;
unsigned long *ai;
unsigned long **a;
int len;
int *pos;
row = mat->row;
col = mat->col;
wcol = (col+BLEN-1)/BLEN;
pos = (int *)MALLOC(wcol*sizeof(int));
bzero(pos,wcol*sizeof(int));
for ( i = j = 0; i < wcol; i++ )
if ( v[i] ) pos[j++] = i;;
len = j;
wj = rhead/BLEN;
bj = 1L<<rhead%BLEN;
a = mat->a;
for ( i = 0; i < row; i++ ) {
ai = a[i];
if ( ai[wj]&bj ) {
for ( j = 0; j < len; j++ )
ai[pos[j]] ^= v[pos[j]];
sugar[i] = MAX(sugar[i],rsugar);
}
}
}
NODE nd_f4_red_2(ND_pairs sp0,UINT *s0vect,int col,NODE rp0,ND_pairs *nz)
{
int nsp,nred,i,i0,k,rank,row;
NODE r0,rp;
ND_pairs sp;
ND spol;
NM_ind_pair rt;
int *s0hash;
UINT *s;
int *pivot,*sugar,*head;
matrix mat;
NM m;
NODE r;
struct oEGT eg0,eg1,eg2,eg_elim1,eg_elim2;
int rhead,rsugar,size;
unsigned long *v;
get_eg(&eg0);
for ( sp = sp0, nsp = 0; sp; sp = NEXT(sp), nsp++ );
nred = length(rp0);
mat = alloc_matrix(nsp,col);
s0hash = (int *)MALLOC(col*sizeof(int));
for ( i = 0, s = s0vect; i < col; i++, s += nd_wpd )
s0hash[i] = ndl_hash_value(s);
sugar = (int *)MALLOC(nsp*sizeof(int));
for ( i = 0, sp = sp0; sp; sp = NEXT(sp) ) {
nd_sp(2,0,sp,&spol);
if ( spol ) {
mat->a[i] = nd_to_vect_2(s0vect,col,s0hash,spol);
sugar[i] = SG(spol);
i++;
}
}
mat->row = i;
if ( DP_Print ) {
fprintf(asir_out,"%dx%d,",mat->row,mat->col); fflush(asir_out);
}
size = ((col+BLEN-1)/BLEN)*sizeof(unsigned long);
v = CALLOC((col+BLEN-1)/BLEN,sizeof(unsigned long));
for ( rp = rp0, i = 0; rp; rp = NEXT(rp), i++ ) {
rt = (NM_ind_pair)BDY(rp);
bzero(v,size);
rhead = nd_nm_to_vect_2(s0vect,col,s0hash,nd_ps[rt->index],rt->mul,v);
rsugar = SG(nd_ps[rt->index])+TD(DL(rt->mul));
red_by_vect_2(mat,sugar,v,rhead,rsugar);
}
get_eg(&eg1);
init_eg(&eg_elim1); add_eg(&eg_elim1,&eg0,&eg1);
rank = rref(mat,sugar);
for ( i = 0, r0 = 0; i < rank; i++ ) {
NEXTNODE(r0,r);
BDY(r) = (pointer)vect_to_ndv_2(mat->a[i],col,s0vect);
SG((NDV)BDY(r)) = sugar[i];
}
if ( r0 ) NEXT(r) = 0;
get_eg(&eg2);
init_eg(&eg_elim2); add_eg(&eg_elim2,&eg1,&eg2);
if ( DP_Print ) {
fprintf(asir_out,"elim1=%.3fsec,elim2=%.3fsec,",
eg_elim1.exectime,eg_elim2.exectime);
fflush(asir_out);
}
return r0;
}
NODE nd_f4_red(int m,ND_pairs sp0,int trace,UINT *s0vect,int col,NODE rp0,ND_pairs *nz)
{
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;
if ( m == 2 && nd_rref2 )
return nd_f4_red_2(sp0,s0vect,col,rp0,nz);
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 )
#if SIZEOF_LONG==8
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
r0 = nd_f4_red_q_main(sp0,nsp,trace,s0vect,col,rvect,rhead,imat,nred);
return r0;
}
/* 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)
{
int spcol,sprow,a;
int i,j,k,l,rank;
NODE r0,r;
ND_pairs sp;
ND spol;
UINT **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 = (UINT **)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);
if ( m == -1 )
maxrs = ndv_reduce_vect_sf(m,svect,col,imat,rvect,nred);
else
maxrs = ndv_reduce_vect(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);
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));
if ( m == -1 )
rank = nd_gauss_elim_sf(spmat,spsugar,sprow,spcol,m,colstat);
else
rank = nd_gauss_elim_mod(spmat,spsugar,spactive,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);
fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ",
nsp,nred,sprow,spcol,rank);
fprintf(asir_out,"%.3fsec,",eg_f4.exectime);
}
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;
}
/* 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;
UINT **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 = (UINT **)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);
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);
fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ",
nsp,nred,sprow,spcol,rank);
fprintf(asir_out,"%.3fsec,",eg_f4.exectime);
}
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)
{
int spcol,sprow,a;
int i,j,k,l,rank;
NODE r0,r;
ND_pairs sp;
ND spol;
mpz_t **spmat;
mpz_t *svect,*v;
int *colstat;
struct oEGT eg0,eg1,eg2,eg_f4,eg_f4_1,eg_f4_2;
int maxrs;
int *spsugar;
pointer *w;
spcol = col-nred;
get_eg(&eg0);
/* elimination (1st step) */
spmat = (mpz_t **)MALLOC(nsp*sizeof(mpz_t *));
svect = (mpz_t *)MALLOC(col*sizeof(mpz_t));
spsugar = (int *)MALLOC(nsp*sizeof(int));
for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) {
nd_sp(m,trace,sp,&spol);
if ( !spol ) continue;
nd_to_vect_lf(s0vect,col,spol,svect);
maxrs = ndv_reduce_vect_lf(svect,trace,col,imat,rvect,nred);
for ( i = 0; i < col; i++ ) if ( mpz_sgn(svect[i]) ) break;
if ( i < col ) {
spmat[sprow] = v = (mpz_t *)MALLOC(spcol*sizeof(mpz_t));
for ( j = k = 0; j < col; j++ )
if ( !rhead[j] ) v[k++][0] = svect[j][0];
spsugar[sprow] = MAX(maxrs,SG(spol));
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);
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_lf(spmat,spsugar,sprow,spcol,colstat);
w = (pointer *)MALLOC(rank*sizeof(pointer));
for ( i = 0; i < rank; i++ ) {
#if 0
w[rank-i-1] = (pointer)vect_to_ndv_lf(spmat[i],spcol,col,rhead,s0vect);
SG((NDV)w[rank-i-1]) = spsugar[i];
#else
w[i] = (pointer)vect_to_ndv_lf(spmat[i],spcol,col,rhead,s0vect);
SG((NDV)w[i]) = spsugar[i];
#endif
/* GCFREE(spmat[i]); */
}
#if 0
qsort(w,rank,sizeof(NDV),
(int (*)(const void *,const void *))ndv_compare);
#endif
r0 = 0;
for ( i = 0; i < rank; i++ ) {
NEXTNODE(r0,r); BDY(r) = w[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);
fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ",
nsp,nred,sprow,spcol,rank);
fprintf(asir_out,"%.3fsec,",eg_f4.exectime);
}
return r0;
}
NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,int trace,UINT *s0vect,int col,
NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred)
{
int spcol,sprow,a;
int i,j,k,l,rank;
NODE r0,r;
ND_pairs sp;
ND spol;
Z **spmat;
Z *svect,*v;
int *colstat;
struct oEGT eg0,eg1,eg2,eg_f4,eg_f4_1,eg_f4_2;
int maxrs;
int *spsugar;
pointer *w;
spcol = col-nred;
get_eg(&eg0);
/* elimination (1st step) */
spmat = (Z **)MALLOC(nsp*sizeof(Q *));
svect = (Z *)MALLOC(col*sizeof(Q));
spsugar = (int *)MALLOC(nsp*sizeof(int));
for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) {
nd_sp(0,trace,sp,&spol);
if ( !spol ) continue;
nd_to_vect_q(s0vect,col,spol,svect);
maxrs = ndv_reduce_vect_q(svect,trace,col,imat,rvect,nred);
for ( i = 0; i < col; i++ ) if ( svect[i] ) break;
if ( i < col ) {
spmat[sprow] = v = (Z *)MALLOC(spcol*sizeof(Q));
for ( j = k = 0; j < col; j++ )
if ( !rhead[j] ) v[k++] = svect[j];
spsugar[sprow] = MAX(maxrs,SG(spol));
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);
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_q(spmat,spsugar,sprow,spcol,colstat);
w = (pointer *)MALLOC(rank*sizeof(pointer));
for ( i = 0; i < rank; i++ ) {
#if 0
w[rank-i-1] = (pointer)vect_to_ndv_q(spmat[i],spcol,col,rhead,s0vect);
SG((NDV)w[rank-i-1]) = spsugar[i];
#else
w[i] = (pointer)vect_to_ndv_q(spmat[i],spcol,col,rhead,s0vect);
SG((NDV)w[i]) = spsugar[i];
#endif
/* GCFREE(spmat[i]); */
}
#if 0
qsort(w,rank,sizeof(NDV),
(int (*)(const void *,const void *))ndv_compare);
#endif
r0 = 0;
for ( i = 0; i < rank; i++ ) {
NEXTNODE(r0,r); BDY(r) = w[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);
fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ",
nsp,nred,sprow,spcol,rank);
fprintf(asir_out,"%.3fsec,",eg_f4.exectime);
}
return r0;
}
FILE *nd_write,*nd_read;
void nd_send_int(int a) {
write_int(nd_write,(unsigned int *)&a);
}
void nd_send_intarray(int *p,int len) {
write_intarray(nd_write,(unsigned int *)p,len);
}
int nd_recv_int() {
int a;
read_int(nd_read,(unsigned int *)&a);
return a;
}
void nd_recv_intarray(int *p,int len) {
read_intarray(nd_read,(unsigned int *)p,len);
}
void nd_send_ndv(NDV p) {
int len,i;
NMV m;
if ( !p ) nd_send_int(0);
else {
len = LEN(p);
nd_send_int(len);
m = BDY(p);
for ( i = 0; i < len; i++, NMV_ADV(m) ) {
nd_send_int(CM(m));
nd_send_intarray((int *)DL(m),nd_wpd);
}
}
}
void nd_send_nd(ND p) {
int len,i;
NM m;
if ( !p ) nd_send_int(0);
else {
len = LEN(p);
nd_send_int(len);
m = BDY(p);
for ( i = 0; i < len; i++, m = NEXT(m) ) {
nd_send_int(CM(m));
nd_send_intarray((int *)DL(m),nd_wpd);
}
}
}
NDV nd_recv_ndv()
{
int len,i;
NMV m,m0;
NDV r;
len = nd_recv_int();
if ( !len ) return 0;
else {
m0 = m = (NMV)MALLOC_ATOMIC_IGNORE_OFF_PAGE(nmv_adv*len);
#if 0
ndv_alloc += len*nmv_adv;
#endif
for ( i = 0; i < len; i++, NMV_ADV(m) ) {
CM(m) = nd_recv_int();
nd_recv_intarray((int *)DL(m),nd_wpd);
}
MKNDV(nd_nvar,m0,len,r);
return r;
}
}
int nd_gauss_elim_q(Z **mat0,int *sugar,int row,int col,int *colstat)
{
int i,j,t,c,rank,inv;
int *ci,*ri;
Z dn;
MAT m,nm;
NEWMAT(m); m->row = row; m->col = col; m->body = (pointer **)mat0;
rank = generic_gauss_elim(m,&nm,&dn,&ri,&ci);
for ( i = 0; i < row; i++ )
for ( j = 0; j < col; j++ )
mat0[i][j] = 0;
c = col-rank;
for ( i = 0; i < rank; i++ ) {
mat0[i][ri[i]] = dn;
for ( j = 0; j < c; j++ )
mat0[i][ci[j]] = (Z)BDY(nm)[i][j];
}
return rank;
}
int nd_gauss_elim_mod(UINT **mat0,int *sugar,ND_pairs *spactive,int row,int col,int md,int *colstat)
{
int i,j,k,l,inv,a,rank,s;
unsigned int *t,*pivot,*pk;
unsigned int **mat;
ND_pairs pair;
mat = (unsigned int **)mat0;
for ( rank = 0, j = 0; j < col; j++ ) {
for ( i = rank; i < row; i++ )
mat[i][j] %= md;
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;
s = sugar[i]; sugar[i] = sugar[rank]; sugar[rank] = s;
if ( spactive ) {
pair = spactive[i]; spactive[i] = spactive[rank];
spactive[rank] = pair;
}
}
pivot = mat[rank];
s = sugar[rank];
inv = invm(pivot[j],md);
for ( k = j, pk = pivot+k; k < col; k++, pk++ )
if ( *pk ) {
if ( *pk >= (unsigned int)md )
*pk %= md;
DMAR(*pk,inv,0,md,*pk)
}
for ( i = rank+1; i < row; i++ ) {
t = mat[i];
if ( (a = t[j]) != 0 ) {
sugar[i] = MAX(sugar[i],s);
red_by_vect(md,t+j,pivot+j,md-a,col-j);
}
}
rank++;
}
for ( j = col-1, l = rank-1; j >= 0; j-- )
if ( colstat[j] ) {
pivot = mat[l];
s = sugar[l];
for ( i = 0; i < l; i++ ) {
t = mat[i];
t[j] %= md;
if ( (a = t[j]) != 0 ) {
sugar[i] = MAX(sugar[i],s);
red_by_vect(md,t+j,pivot+j,md-a,col-j);
}
}
l--;
}
for ( j = 0, l = 0; l < rank; j++ )
if ( colstat[j] ) {
t = mat[l];
for ( k = j; k < col; k++ )
if ( t[k] >= (unsigned int)md )
t[k] %= md;
l++;
}
return rank;
}
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;
unsigned int *t,*pivot,*pk;
unsigned int **mat;
mat = (unsigned int **)mat0;
for ( rank = 0, j = 0; j < col; j++ ) {
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;
s = sugar[i]; sugar[i] = sugar[rank]; sugar[rank] = s;
}
pivot = mat[rank];
s = sugar[rank];
inv = _invsf(pivot[j]);
for ( k = j, pk = pivot+k; k < col; k++, pk++ )
if ( *pk )
*pk = _mulsf(*pk,inv);
for ( i = rank+1; i < row; i++ ) {
t = mat[i];
if ( (a = t[j]) != 0 ) {
sugar[i] = MAX(sugar[i],s);
red_by_vect_sf(md,t+j,pivot+j,_chsgnsf(a),col-j);
}
}
rank++;
}
for ( j = col-1, l = rank-1; j >= 0; j-- )
if ( colstat[j] ) {
pivot = mat[l];
s = sugar[l];
for ( i = 0; i < l; i++ ) {
t = mat[i];
if ( (a = t[j]) != 0 ) {
sugar[i] = MAX(sugar[i],s);
red_by_vect_sf(md,t+j,pivot+j,_chsgnsf(a),col-j);
}
}
l--;
}
return rank;
}
int ndv_ishomo(NDV p)
{
NMV m;
int len,h;
if ( !p ) return 1;
len = LEN(p);
m = BDY(p);
h = TD(DL(m));
NMV_ADV(m);
for ( len--; len; len--, NMV_ADV(m) )
if ( TD(DL(m)) != h ) {
return 0;
}
return 1;
}
void ndv_save(NDV p,int index)
{
FILE *s;
char name[BUFSIZ];
short id;
int nv,sugar,len,n,i,td,e,j;
NMV m;
unsigned int *dl;
int mpos;
sprintf(name,"%s/%d",Demand,index);
s = fopen(name,"w");
savevl(s,0);
if ( !p ) {
saveobj(s,0);
return;
}
id = O_DP;
nv = NV(p);
sugar = SG(p);
len = LEN(p);
write_short(s,(unsigned short *)&id); write_int(s,(unsigned int *)&nv); write_int(s,(unsigned int *)&sugar);
write_int(s,(unsigned int *)&len);
for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
saveobj(s,(Obj)CZ(m));
dl = DL(m);
td = TD(dl);
write_int(s,(unsigned int *)&td);
for ( j = 0; j < nv; j++ ) {
e = GET_EXP(dl,j);
write_int(s,(unsigned int *)&e);
}
if ( nd_module ) {
mpos = MPOS(dl); write_int(s,(unsigned int *)&mpos);
}
}
fclose(s);
}
void nd_save_mod(ND p,int index)
{
FILE *s;
char name[BUFSIZ];
int nv,sugar,len,c;
NM m;
sprintf(name,"%s/%d",Demand,index);
s = fopen(name,"w");
if ( !p ) {
len = 0;
write_int(s,(unsigned int *)&len);
fclose(s);
return;
}
nv = NV(p);
sugar = SG(p);
len = LEN(p);
write_int(s,(unsigned int *)&nv); write_int(s,(unsigned int *)&sugar); write_int(s,(unsigned int *)&len);
for ( m = BDY(p); m; m = NEXT(m) ) {
c = CM(m); write_int(s,(unsigned int *)&c);
write_intarray(s,(unsigned int *)DL(m),nd_wpd);
}
fclose(s);
}
NDV ndv_load(int index)
{
FILE *s;
char name[BUFSIZ];
short id;
int nv,sugar,len,n,i,td,e,j;
NDV d;
NMV m0,m;
unsigned int *dl;
Obj obj;
int mpos;
sprintf(name,"%s/%d",Demand,index);
s = fopen(name,"r");
if ( !s ) return 0;
skipvl(s);
read_short(s,(unsigned short *)&id);
if ( !id ) return 0;
read_int(s,(unsigned int *)&nv);
read_int(s,(unsigned int *)&sugar);
read_int(s,(unsigned int *)&len);
m0 = m = MALLOC(len*nmv_adv);
for ( i = 0; i < len; i++, NMV_ADV(m) ) {
loadobj(s,&obj); CZ(m) = (Z)obj;
dl = DL(m);
ndl_zero(dl);
read_int(s,(unsigned int *)&td); TD(dl) = td;
for ( j = 0; j < nv; j++ ) {
read_int(s,(unsigned int *)&e);
PUT_EXP(dl,j,e);
}
if ( nd_module ) {
read_int(s,(unsigned int *)&mpos); MPOS(dl) = mpos;
}
if ( nd_blockmask ) ndl_weight_mask(dl);
}
fclose(s);
MKNDV(nv,m0,len,d);
SG(d) = sugar;
return d;
}
ND nd_load_mod(int index)
{
FILE *s;
char name[BUFSIZ];
int nv,sugar,len,i,c;
ND d;
NM m0,m;
sprintf(name,"%s/%d",Demand,index);
s = fopen(name,"r");
/* if the file does not exist, it means p[index]=0 */
if ( !s ) return 0;
read_int(s,(unsigned int *)&nv);
if ( !nv ) { fclose(s); return 0; }
read_int(s,(unsigned int *)&sugar);
read_int(s,(unsigned int *)&len);
for ( m0 = 0, i = 0; i < len; i++ ) {
NEXTNM(m0,m);
read_int(s,(unsigned int *)&c); CM(m) = c;
read_intarray(s,(unsigned int *)DL(m),nd_wpd);
}
NEXT(m) = 0;
MKND(nv,m0,len,d);
SG(d) = sugar;
fclose(s);
return d;
}
void nd_det(int mod,MAT f,P *rp)
{
VL fv,tv;
int n,i,j,max,e,nvar,sgn,k0,l0,len0,len,k,l,a;
pointer **m;
P **w;
P mp,r;
NDV **dm;
NDV *t,*mi,*mj;
NDV d,s,mij,mjj;
ND u;
NMV nmv;
UINT *bound;
PGeoBucket bucket;
struct order_spec *ord;
Z dq,dt,ds;
Z mone;
Z gn,qn,dn0,nm,dn;
create_order_spec(0,0,&ord);
nd_init_ord(ord);
get_vars((Obj)f,&fv);
if ( f->row != f->col )
error("nd_det : non-square matrix");
n = f->row;
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 = ONE;
for ( j = 0; j < n; j++ ) {
if ( !m[i][j] ) continue;
lgp(m[i][j],&nm,&dn);
gcdz(dn0,dn,&gn); divsz(dn0,gn,&qn); mulz(qn,dn,&dn0);
}
if ( !UNIZ(dn0) ) {
ds = dn0;
for ( j = 0; j < n; j++ )
mulp(CO,(P)m[i][j],(P)ds,&w[i][j]);
mulz(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 = 1; i < n; i++ )
for ( j = 0; j < n; j++ )
for ( tv = fv; tv; tv = NEXT(tv) ) {
e = getdeg(tv->v,(P)m[i][j]);
max = MAX(e,max);
}
nd_setup_parameters(nvar,max);
dm = (NDV **)almat_pointer(n,n);
for ( i = 0, max = 1; i < n; i++ )
for ( j = 0; j < n; j++ ) {
dm[i][j] = ptondv(CO,fv,m[i][j]);
if ( mod ) ndv_mod(mod,dm[i][j]);
if ( dm[i][j] && !LEN(dm[i][j]) ) dm[i][j] = 0;
}
d = ptondv(CO,fv,(P)ONE);
if ( mod ) ndv_mod(mod,d);
chsgnz(ONE,&mone);
for ( j = 0, sgn = 1; j < n; j++ ) {
if ( DP_Print ) {
fprintf(asir_out,".");
}
for ( i = j; i < n && !dm[i][j]; i++ );
if ( i == n ) {
*rp = 0;
return;
}
k0 = i; l0 = j; len0 = LEN(dm[k0][l0]);
for ( k = j; k < n; k++ )
for ( l = j; l < n; l++ )
if ( dm[k][l] && LEN(dm[k][l]) < len0 ) {
k0 = k; l0 = l; len0 = LEN(dm[k][l]);
}
if ( k0 != j ) {
t = dm[j]; dm[j] = dm[k0]; dm[k0] = t;
sgn = -sgn;
}
if ( l0 != j ) {
for ( k = j; k < n; k++ ) {
s = dm[k][j]; dm[k][j] = dm[k][l0]; dm[k][l0] = s;
}
sgn = -sgn;
}
bound = nd_det_compute_bound(dm,n,j);
for ( k = 0; k < nd_nvar; k++ )
if ( bound[k]*2 > nd_mask0 ) break;
if ( k < nd_nvar )
nd_det_reconstruct(dm,n,j,d);
for ( i = j+1, mj = dm[j], mjj = mj[j]; i < 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(asir_out,"k=%d ",k); */
bucket = create_pbucket();
if ( mi[k] ) {
nmv = BDY(mjj); len = LEN(mjj);
for ( a = 0; a < len; a++, NMV_ADV(nmv) ) {
u = ndv_mul_nmv_trunc(mod,nmv,mi[k],DL(BDY(d)));
add_pbucket(mod,bucket,u);
}
}
if ( mj[k] && mij ) {
nmv = BDY(mij); len = LEN(mij);
for ( a = 0; a < len; a++, NMV_ADV(nmv) ) {
u = ndv_mul_nmv_trunc(mod,nmv,mj[k],DL(BDY(d)));
add_pbucket(mod,bucket,u);
}
}
u = nd_quo(mod,bucket,d);
mi[k] = ndtondv(mod,u);
}
/* if ( DP_Print ) fprintf(asir_out,"\n",k); */
}
d = mjj;
}
if ( DP_Print ) {
fprintf(asir_out,"\n");
}
if ( sgn < 0 ) {
if ( mod )
ndv_mul_c(mod,d,mod-1);
else
ndv_mul_c_q(d,mone);
}
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)
{
NM mr,mr0;
NM tnm;
NMV m;
UINT *d0,*dt,*dm;
int c,n,td,i,c1,c2,len;
Z q;
ND r;
if ( !p ) return 0;
else {
n = NV(p); m = BDY(p); len = LEN(p);
d0 = DL(m0);
td = TD(d);
mr0 = 0;
NEWNM(tnm);
if ( mod ) {
c = CM(m0);
for ( i = 0; i < len; i++, NMV_ADV(m) ) {
ndl_add(DL(m),d0,DL(tnm));
if ( ndl_reducible(DL(tnm),d) ) {
NEXTNM(mr0,mr);
c1 = CM(m); DMAR(c1,c,0,mod,c2); CM(mr) = c2;
ndl_copy(DL(tnm),DL(mr));
}
}
} else {
q = CZ(m0);
for ( i = 0; i < len; i++, NMV_ADV(m) ) {
ndl_add(DL(m),d0,DL(tnm));
if ( ndl_reducible(DL(tnm),d) ) {
NEXTNM(mr0,mr);
mulz(CZ(m),q,&CZ(mr));
ndl_copy(DL(tnm),DL(mr));
}
}
}
if ( !mr0 )
return 0;
else {
NEXT(mr) = 0;
for ( len = 0, mr = mr0; mr; mr = NEXT(mr), len++ );
MKND(NV(p),mr0,len,r);
SG(r) = SG(p) + TD(d0);
return r;
}
}
}
void nd_det_reconstruct(NDV **dm,int n,int j,NDV d)
{
int i,obpe,oadv,h,k,l;
static NM prev_nm_free_list;
EPOS oepos;
obpe = nd_bpe;
oadv = nmv_adv;
oepos = nd_epos;
if ( obpe < 2 ) nd_bpe = 2;
else if ( obpe < 3 ) nd_bpe = 3;
else if ( obpe < 4 ) nd_bpe = 4;
else if ( obpe < 5 ) nd_bpe = 5;
else if ( obpe < 6 ) nd_bpe = 6;
else if ( obpe < 8 ) nd_bpe = 8;
else if ( obpe < 10 ) nd_bpe = 10;
else if ( obpe < 16 ) nd_bpe = 16;
else if ( obpe < 32 ) nd_bpe = 32;
else error("nd_det_reconstruct : exponent too large");
nd_setup_parameters(nd_nvar,0);
prev_nm_free_list = _nm_free_list;
_nm_free_list = 0;
for ( k = j; k < n; k++ )
for (l = j; l < n; l++ )
ndv_realloc(dm[k][l],obpe,oadv,oepos);
ndv_realloc(d,obpe,oadv,oepos);
prev_nm_free_list = 0;
#if 0
GC_gcollect();
#endif
}
/* returns a UINT array containing degree bounds */
UINT *nd_det_compute_bound(NDV **dm,int n,int j)
{
UINT *d0,*d1,*d,*t,*r;
int k,l,i;
d0 = (UINT *)MALLOC(nd_nvar*sizeof(UINT));
for ( k = 0; k < nd_nvar; k++ ) d0[k] = 0;
for ( k = j; k < n; k++ )
for ( l = j; l < n; l++ )
if ( dm[k][l] ) {
d = ndv_compute_bound(dm[k][l]);
for ( i = 0; i < nd_nvar; i++ )
d0[i] = MAX(d0[i],d[i]);
}
return d0;
}
DL nd_separate_d(UINT *d,UINT *trans)
{
int n,td,i,e,j;
DL a;
ndl_zero(trans);
td = 0;
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 = 0; i < nd_nalg; i++ ) {
j = nd_ntrans+i;
e = GET_EXP(d,j);
a->d[i] = e;
td += e;
}
a->td = td;
return a;
}
int nd_monic(int mod,ND *p)
{
UINT *trans,*t;
DL alg;
MP mp0,mp;
NM m,m0,m1,ma0,ma,mb,mr0,mr;
ND r;
DL dl;
DP nm;
NDV ndv;
DAlg inv,cd;
ND s,c;
Z l,mul;
Z ln;
int n,ntrans,i,e,td,is_lc,len;
NumberField nf;
struct oEGT eg0,eg1;
if ( !(nf = get_numberfield()) )
error("nd_monic : current_numberfield is not set");
/* Q coef -> DAlg coef */
NEWNM(ma0); ma = ma0;
m = BDY(*p);
is_lc = 1;
while ( 1 ) {
NEWMP(mp0); mp = mp0;
mp->c = (Obj)CZ(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 = (Obj)CZ(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 && !remqi((Q)inv->dn,mod) )
return 0;
CA(ma) = nf->one;
is_lc = 0;
ln = ONE;
} else {
muldalg(cd,inv,&CA(ma));
lcmz(ln,CA(ma)->dn,&ln);
}
if ( m ) {
NEXT(ma) = mb; ma = mb;
} else {
NEXT(ma) = 0;
break;
}
}
/* l = lcm(denoms) */
l = ln;
for ( mr0 = 0, m = ma0; m; m = NEXT(m) ) {
divsz(l,CA(m)->dn,&mul);
for ( mp = BDY(CA(m)->nm); mp; mp = NEXT(mp) ) {
NEXTNM(mr0,mr);
mulz((Z)mp->c,mul,&CZ(mr));
dl = mp->dl;
td = TD(DL(m));
ndl_copy(DL(m),DL(mr));
for ( i = 0; i < nd_nalg; i++ ) {
e = dl->d[i];
PUT_EXP(DL(mr),i+nd_ntrans,e);
td += MUL_WEIGHT(e,i+nd_ntrans);
}
if ( nd_module ) MPOS(DL(mr)) = MPOS(DL(m));
TD(DL(mr)) = td;
if ( nd_blockmask) ndl_weight_mask(DL(mr));
}
}
NEXT(mr) = 0;
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;
}
NODE reverse_node(NODE n)
{
NODE t,t1;
for ( t = 0; n; n = NEXT(n) ) {
MKNODE(t1,BDY(n),t); t = t1;
}
return t;
}
P ndc_div(int mod,union oNDC a,union oNDC b)
{
union oNDC c;
int inv,t;
if ( mod == -1 ) c.m = _mulsf(a.m,_invsf(b.m));
else if ( mod == -2 ) divlf(a.z,b.z,&c.z);
else if ( mod ) {
inv = invm(b.m,mod);
DMAR(a.m,inv,0,mod,t); c.m = t;
} else if ( nd_vc )
divsp(nd_vc,a.p,b.p,&c.p);
else
divsz(a.z,b.z,&c.z);
return ndctop(mod,c);
}
P ndctop(int mod,union oNDC c)
{
Z q;
int e;
GFS gfs;
if ( mod == -1 ) {
e = IFTOF(c.m); MKGFS(e,gfs); return (P)gfs;
} else if ( mod == -2 ) {
q = c.z; return (P)q;
} else if ( mod > 0 ) {
STOZ(c.m,q); return (P)q;
} else
return (P)c.p;
}
/* [0,0,0,cont] = p -> p/cont */
void finalize_tracelist(int i,P cont)
{
LIST l;
NODE node;
Z iq;
if ( !UNIQ(cont) ) {
node = mknode(4,NULLP,NULLP,NULLP,cont);
MKLIST(l,node); MKNODE(node,l,nd_tracelist);
nd_tracelist = node;
}
STOZ(i,iq);
nd_tracelist = reverse_node(nd_tracelist);
MKLIST(l,nd_tracelist);
node = mknode(2,iq,l); MKLIST(l,node);
MKNODE(node,l,nd_alltracelist); MKLIST(l,node);
nd_alltracelist = node; nd_tracelist = 0;
}
void conv_ilist(int demand,int trace,NODE g,int **indp)
{
int n,i,j;
int *ind;
NODE t;
n = length(g);
ind = (int *)MALLOC(n*sizeof(int));
for ( i = 0, t = g; i < n; i++, t = NEXT(t) ) {
j = (long)BDY(t); ind[i] = j;
BDY(t) = (pointer)(demand?ndv_load(j):(trace?nd_ps_trace[j]:nd_ps[j]));
}
if ( indp ) *indp = ind;
}
void parse_nd_option(NODE opt)
{
NODE t,p,u;
int i,s,n;
char *key;
Obj value;
nd_gentrace = 0; nd_gensyz = 0; nd_nora = 0; nd_gbblock = 0;
nd_newelim = 0; nd_intersect = 0; nd_nzlist = 0;
nd_splist = 0; nd_check_splist = 0;
nd_sugarweight = 0;
nd_f4red =0;
nd_rank0 = 0;
for ( t = opt; t; t = NEXT(t) ) {
p = BDY((LIST)BDY(t));
key = BDY((STRING)BDY(p));
value = (Obj)BDY(NEXT(p));
if ( !strcmp(key,"gentrace") )
nd_gentrace = value?1:0;
else if ( !strcmp(key,"gensyz") )
nd_gensyz = value?1:0;
else if ( !strcmp(key,"nora") )
nd_nora = value?1:0;
else if ( !strcmp(key,"gbblock") ) {
if ( value && OID(value) == O_LIST ) {
u = BDY((LIST)value);
nd_gbblock = MALLOC((2*length(u)+1)*sizeof(int));
for ( i = 0; u; u = NEXT(u) ) {
p = BDY((LIST)BDY(u));
s = nd_gbblock[i++] = ZTOS((Q)BDY(p));
nd_gbblock[i++] = s+ZTOS((Q)BDY(NEXT(p)))-1;
}
nd_gbblock[i] = -1;
} else
nd_gbblock = 0;
} else if ( !strcmp(key,"newelim") )
nd_newelim = value?1:0;
else if ( !strcmp(key,"intersect") )
nd_intersect = value?1:0;
else if ( !strcmp(key,"syzgen") )
nd_intersect = ZTOS((Q)value);
else if ( !strcmp(key,"lf") )
nd_lf = value?1:0;
else if ( !strcmp(key,"trace") ) {
if ( value ) {
u = BDY((LIST)value);
nd_nzlist = BDY((LIST)ARG2(u));
nd_bpe = ZTOS((Q)ARG3(u));
}
} else if ( !strcmp(key,"f4red") ) {
nd_f4red = ZTOS((Q)value);
} else if ( !strcmp(key,"rank0") ) {
nd_rank0 = value?1:0;
} else if ( !strcmp(key,"splist") ) {
nd_splist = value?1:0;
} else if ( !strcmp(key,"check_splist") ) {
nd_check_splist = BDY((LIST)value);
} else if ( !strcmp(key,"sugarweight") ) {
u = BDY((LIST)value);
n = length(u);
nd_sugarweight = MALLOC(n*sizeof(int));
for ( i = 0; i < n; i++, u = NEXT(u) )
nd_sugarweight[i] = ZTOS((Q)BDY(u));
}
}
}
ND mdptond(DP d);
ND nd_mul_nm(int mod,NM m0,ND p);
ND nd_mul_nm_lf(NM m0,ND p);
ND *btog(NODE ti,ND **p,int nb,int mod);
ND btog_one(NODE ti,ND *p,int nb,int mod);
MAT nd_btog(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,MAT *rp);
VECT nd_btog_one(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,int pos,MAT *rp);
/* d:monomial */
ND mdptond(DP d)
{
NM m;
ND r;
if ( OID(d) == 1 )
r = ptond(CO,CO,(P)d);
else {
NEWNM(m);
dltondl(NV(d),BDY(d)->dl,DL(m));
CZ(m) = (Z)BDY(d)->c;
NEXT(m) = 0;
MKND(NV(d),m,1,r);
}
return r;
}
ND nd_mul_nm(int mod,NM m0,ND p)
{
UINT *d0;
int c0,c1,c;
NM tm,mr,mr0;
ND r;
if ( !p ) return 0;
d0 = DL(m0);
c0 = CM(m0);
mr0 = 0;
for ( tm = BDY(p); tm; tm = NEXT(tm) ) {
NEXTNM(mr0,mr);
c = CM(tm); DMAR(c0,c,0,mod,c1); CM(mr) = c1;
ndl_add(d0,DL(tm),DL(mr));
}
NEXT(mr) = 0;
MKND(NV(p),mr0,LEN(p),r);
return r;
}
ND nd_mul_nm_lf(NM m0,ND p)
{
UINT *d0;
Z c0,c1,c;
NM tm,mr,mr0;
ND r;
if ( !p ) return 0;
d0 = DL(m0);
c0 = CZ(m0);
mr0 = 0;
for ( tm = BDY(p); tm; tm = NEXT(tm) ) {
NEXTNM(mr0,mr);
c = CZ(tm); mullf(c0,CZ(tm),&c1); CZ(mr) = c1;
ndl_add(d0,DL(tm),DL(mr));
}
NEXT(mr) = 0;
MKND(NV(p),mr0,LEN(p),r);
return r;
}
ND *btog(NODE ti,ND **p,int nb,int mod)
{
PGeoBucket *r;
int i,ci;
NODE t,s;
ND m,tp;
ND *pi,*rd;
P c;
r = (PGeoBucket *)MALLOC(nb*sizeof(PGeoBucket));
for ( i = 0; i < nb; i++ )
r[i] = create_pbucket();
for ( t = ti; t; t = NEXT(t) ) {
s = BDY((LIST)BDY(t));
if ( ARG0(s) ) {
m = mdptond((DP)ARG2(s));
ptomp(mod,(P)HCZ(m),&c);
if ( (ci = ((MQ)c)->cont) != 0 ) {
HCM(m) = ci;
pi = p[ZTOS((Q)ARG1(s))];
for ( i = 0; i < nb; i++ ) {
tp = nd_mul_nm(mod,BDY(m),pi[i]);
add_pbucket(mod,r[i],tp);
}
}
ci = 1;
} else {
ptomp(mod,(P)ARG3(s),&c); ci = ((MQ)c)->cont;
ci = invm(ci,mod);
}
}
rd = (ND *)MALLOC(nb*sizeof(ND));
for ( i = 0; i < nb; i++ )
rd[i] = normalize_pbucket(mod,r[i]);
if ( ci != 1 )
for ( i = 0; i < nb; i++ ) nd_mul_c(mod,rd[i],ci);
return rd;
}
/* YYY */
ND *btog_lf(NODE ti,ND **p,int nb)
{
PGeoBucket *r;
int i;
NODE t,s;
ND m,tp;
ND *pi,*rd;
LM lm;
Z lf,c;
r = (PGeoBucket *)MALLOC(nb*sizeof(PGeoBucket));
for ( i = 0; i < nb; i++ )
r[i] = create_pbucket();
for ( t = ti; t; t = NEXT(t) ) {
s = BDY((LIST)BDY(t));
if ( ARG0(s) ) {
m = mdptond((DP)ARG2(s));
simp_ff((Obj)HCZ(m),(Obj *)&lm);
if ( lm ) {
lmtolf(lm,&lf); HCZ(m) = lf;
pi = p[ZTOS((Q)ARG1(s))];
for ( i = 0; i < nb; i++ ) {
tp = nd_mul_nm_lf(BDY(m),pi[i]);
add_pbucket(-2,r[i],tp);
}
}
c = ONE;
} else {
simp_ff((Obj)ARG3(s),(Obj *)&lm); lmtolf(lm,&lf); invz(lf,current_mod_lf,&c);
}
}
rd = (ND *)MALLOC(nb*sizeof(ND));
for ( i = 0; i < nb; i++ )
rd[i] = normalize_pbucket(-2,r[i]);
for ( i = 0; i < nb; i++ ) nd_mul_c_lf(rd[i],c);
return rd;
}
ND btog_one(NODE ti,ND *p,int nb,int mod)
{
PGeoBucket r;
int i,ci,j;
NODE t,s;
ND m,tp;
ND pi,rd;
P c;
r = create_pbucket();
for ( t = ti; t; t = NEXT(t) ) {
s = BDY((LIST)BDY(t));
if ( ARG0(s) ) {
m = mdptond((DP)ARG2(s));
ptomp(mod,(P)HCZ(m),&c);
if ( (ci = ((MQ)c)->cont) != 0 ) {
HCM(m) = ci;
pi = p[j=ZTOS((Q)ARG1(s))];
if ( !pi ) {
pi = nd_load_mod(j);
tp = nd_mul_nm(mod,BDY(m),pi);
nd_free(pi);
add_pbucket(mod,r,tp);
} else {
tp = nd_mul_nm(mod,BDY(m),pi);
add_pbucket(mod,r,tp);
}
}
ci = 1;
} else {
ptomp(mod,(P)ARG3(s),&c); ci = ((MQ)c)->cont;
ci = invm(ci,mod);
}
}
rd = normalize_pbucket(mod,r);
free_pbucket(r);
if ( ci != 1 ) nd_mul_c(mod,rd,ci);
return rd;
}
MAT nd_btog_lf(LIST f,LIST v,struct order_spec *ord,LIST tlist,MAT *rp);
MAT nd_btog(LIST f,LIST v,int mod,struct order_spec *ord,LIST tlist,MAT *rp)
{
int i,j,n,m,nb,pi0,pi1,nvar;
VL fv,tv,vv;
NODE permtrace,perm,trace,intred,ind,t,pi,ti;
ND **p;
ND *c;
ND u;
P inv;
MAT mat;
if ( mod == -2 )
return nd_btog_lf(f,v,ord,tlist,rp);
parse_nd_option(current_option);
get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc);
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_init_ord(ord);
#if 0
nd_bpe = ZTOS((Q)ARG7(BDY(tlist)));
#else
nd_bpe = 32;
#endif
nd_setup_parameters(nvar,0);
permtrace = BDY((LIST)ARG2(BDY(tlist)));
intred = BDY((LIST)ARG3(BDY(tlist)));
ind = BDY((LIST)ARG4(BDY(tlist)));
perm = BDY((LIST)BDY(permtrace)); trace =NEXT(permtrace);
for ( i = length(perm)-1, t = trace; t; t = NEXT(t) ) {
j = ZTOS((Q)BDY(BDY((LIST)BDY(t))));
if ( j > i ) i = j;
}
n = i+1;
nb = length(BDY(f));
p = (ND **)MALLOC(n*sizeof(ND *));
for ( t = perm, i = 0; t; t = NEXT(t), i++ ) {
pi = BDY((LIST)BDY(t));
pi0 = ZTOS((Q)ARG0(pi)); pi1 = ZTOS((Q)ARG1(pi));
p[pi0] = c = (ND *)MALLOC(nb*sizeof(ND));
ptomp(mod,(P)ARG2(pi),&inv);
((MQ)inv)->cont = invm(((MQ)inv)->cont,mod);
u = ptond(CO,vv,(P)ONE);
HCM(u) = ((MQ)inv)->cont;
c[pi1] = u;
}
for ( t = trace,i=0; t; t = NEXT(t), i++ ) {
printf("%d ",i); fflush(stdout);
ti = BDY((LIST)BDY(t));
p[j=ZTOS((Q)ARG0(ti))] = btog(BDY((LIST)ARG1(ti)),p,nb,mod);
}
for ( t = intred, i=0; t; t = NEXT(t), i++ ) {
printf("%d ",i); fflush(stdout);
ti = BDY((LIST)BDY(t));
p[j=ZTOS((Q)ARG0(ti))] = btog(BDY((LIST)ARG1(ti)),p,nb,mod);
}
m = length(ind);
MKMAT(mat,nb,m);
for ( j = 0, t = ind; j < m; j++, t = NEXT(t) )
for ( i = 0, c = p[ZTOS((Q)BDY(t))]; i < nb; i++ )
BDY(mat)[i][j] = ndtodp(mod,c[i]);
return mat;
}
MAT nd_btog_lf(LIST f,LIST v,struct order_spec *ord,LIST tlist,MAT *rp)
{
int i,j,n,m,nb,pi0,pi1,nvar;
VL fv,tv,vv;
NODE permtrace,perm,trace,intred,ind,t,pi,ti;
ND **p;
ND *c;
ND u;
MAT mat;
LM lm;
Z lf,inv;
parse_nd_option(current_option);
get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc);
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_init_ord(ord);
#if 0
nd_bpe = ZTOS((Q)ARG7(BDY(tlist)));
#else
nd_bpe = 32;
#endif
nd_setup_parameters(nvar,0);
permtrace = BDY((LIST)ARG2(BDY(tlist)));
intred = BDY((LIST)ARG3(BDY(tlist)));
ind = BDY((LIST)ARG4(BDY(tlist)));
perm = BDY((LIST)BDY(permtrace)); trace =NEXT(permtrace);
for ( i = length(perm)-1, t = trace; t; t = NEXT(t) ) {
j = ZTOS((Q)BDY(BDY((LIST)BDY(t))));
if ( j > i ) i = j;
}
n = i+1;
nb = length(BDY(f));
p = (ND **)MALLOC(n*sizeof(ND *));
for ( t = perm, i = 0; t; t = NEXT(t), i++ ) {
pi = BDY((LIST)BDY(t));
pi0 = ZTOS((Q)ARG0(pi)); pi1 = ZTOS((Q)ARG1(pi));
p[pi0] = c = (ND *)MALLOC(nb*sizeof(ND));
simp_ff((Obj)ARG2(pi),(Obj *)&lm); lmtolf(lm,&lf); invz(lf,current_mod_lf,&inv);
u = ptond(CO,vv,(P)ONE);
HCZ(u) = inv;
c[pi1] = u;
}
for ( t = trace,i=0; t; t = NEXT(t), i++ ) {
printf("%d ",i); fflush(stdout);
ti = BDY((LIST)BDY(t));
p[j=ZTOS((Q)ARG0(ti))] = btog_lf(BDY((LIST)ARG1(ti)),p,nb);
}
for ( t = intred, i=0; t; t = NEXT(t), i++ ) {
printf("%d ",i); fflush(stdout);
ti = BDY((LIST)BDY(t));
p[j=ZTOS((Q)ARG0(ti))] = btog_lf(BDY((LIST)ARG1(ti)),p,nb);
}
m = length(ind);
MKMAT(mat,nb,m);
for ( j = 0, t = ind; j < m; j++, t = NEXT(t) )
for ( i = 0, c = p[ZTOS((Q)BDY(t))]; i < nb; i++ )
BDY(mat)[i][j] = ndtodp(-2,c[i]);
return mat;
}
VECT nd_btog_one(LIST f,LIST v,int mod,struct order_spec *ord,
LIST tlist,int pos,MAT *rp)
{
int i,j,n,m,nb,pi0,pi1,nvar;
VL fv,tv,vv;
NODE permtrace,perm,trace,intred,ind,t,pi,ti;
ND *p;
ND *c;
ND u;
P inv;
VECT vect;
if ( mod == -2 )
error("nd_btog_one : not implemented yet for a large finite field");
parse_nd_option(current_option);
get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc);
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_init_ord(ord);
#if 0
nd_bpe = ZTOS((Q)ARG7(BDY(tlist)));
#else
nd_bpe = 32;
#endif
nd_setup_parameters(nvar,0);
permtrace = BDY((LIST)ARG2(BDY(tlist)));
intred = BDY((LIST)ARG3(BDY(tlist)));
ind = BDY((LIST)ARG4(BDY(tlist)));
perm = BDY((LIST)BDY(permtrace)); trace =NEXT(permtrace);
for ( i = length(perm)-1, t = trace; t; t = NEXT(t) ) {
j = ZTOS((Q)BDY(BDY((LIST)BDY(t))));
if ( j > i ) i = j;
}
n = i+1;
nb = length(BDY(f));
p = (ND *)MALLOC(n*sizeof(ND *));
for ( t = perm, i = 0; t; t = NEXT(t), i++ ) {
pi = BDY((LIST)BDY(t));
pi0 = ZTOS((Q)ARG0(pi)); pi1 = ZTOS((Q)ARG1(pi));
if ( pi1 == pos ) {
ptomp(mod,(P)ARG2(pi),&inv);
((MQ)inv)->cont = invm(((MQ)inv)->cont,mod);
u = ptond(CO,vv,(P)ONE);
HCM(u) = ((MQ)inv)->cont;
p[pi0] = u;
}
}
for ( t = trace,i=0; t; t = NEXT(t), i++ ) {
printf("%d ",i); fflush(stdout);
ti = BDY((LIST)BDY(t));
p[j=ZTOS((Q)ARG0(ti))] = btog_one(BDY((LIST)ARG1(ti)),p,nb,mod);
if ( Demand ) {
nd_save_mod(p[j],j); nd_free(p[j]); p[j] = 0;
}
}
for ( t = intred, i=0; t; t = NEXT(t), i++ ) {
printf("%d ",i); fflush(stdout);
ti = BDY((LIST)BDY(t));
p[j=ZTOS((Q)ARG0(ti))] = btog_one(BDY((LIST)ARG1(ti)),p,nb,mod);
if ( Demand ) {
nd_save_mod(p[j],j); nd_free(p[j]); p[j] = 0;
}
}
m = length(ind);
MKVECT(vect,m);
for ( j = 0, t = ind; j < m; j++, t = NEXT(t) ) {
u = p[ZTOS((Q)BDY(t))];
if ( !u ) {
u = nd_load_mod(ZTOS((Q)BDY(t)));
BDY(vect)[j] = ndtodp(mod,u);
nd_free(u);
} else
BDY(vect)[j] = ndtodp(mod,u);
}
return vect;
}
void ndv_print_lf(NDV p)
{
NMV m;
int i,len;
if ( !p ) printf("0\n");
else {
len = LEN(p);
for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
printf("+");
mpz_out_str(asir_out,10,BDY(CZ(m)));
printf("*");
ndl_print(DL(m));
}
printf("\n");
}
}
void nd_f4_lf_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,zp;
Q dmy;
EPOS oepos;
int obpe,oadv,wmax,i,len,cbpe,ishomo,nalg,mrank,trank,ompos;
Alg alpha,dp;
P poly;
LIST f1,f2,zpl;
Obj obj;
NumberField nf;
struct order_spec *ord1;
struct oEGT eg_check,eg0,eg1;
NODE tr,tl1,tl2,tl3,tl4;
LIST l1,l2,l3,l4,l5;
int *perm;
int j,ret;
NODE retn;
Q jq,bpe;
nd_module = 0;
parse_nd_option(current_option);
get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc);
if ( nd_vc )
error("nd_f4_lf_trace : computation over a rational function field is not implemented");
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ );
switch ( ord->id ) {
case 1:
if ( ord->nv != nvar )
error("nd_f4_lf_trace : invalid order specification");
break;
default:
break;
}
nd_ntrans = nvar;
nd_nalg = 0;
nocheck = 0;
mindex = 0;
/* do not use on-demand load/save */
nd_demand = 0;
m = trace > 1 ? trace : get_lprime(mindex);
nd_init_ord(ord);
mrank = 0;
for ( t = BDY(f), max = 1; t; t = NEXT(t) )
for ( tv = vv; tv; tv = NEXT(tv) ) {
if ( nd_module ) {
s = BDY((LIST)BDY(t));
trank = length(s);
mrank = MAX(mrank,trank);
for ( ; s; s = NEXT(s) ) {
e = getdeg(tv->v,(P)BDY(s));
max = MAX(e,max);
}
} else {
e = getdeg(tv->v,(P)BDY(t));
max = MAX(e,max);
}
}
nd_setup_parameters(nvar,max);
obpe = nd_bpe; oadv = nmv_adv; oepos = nd_epos; ompos = nd_mpos;
ishomo = 1;
/* XXX */
for ( in0 = 0, fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {
if ( nd_module ) {
c = (pointer)pltondv(CO,vv,(LIST)BDY(t));
} else {
c = (pointer)ptondv(CO,vv,(P)BDY(t));
}
if ( ishomo )
ishomo = ishomo && ndv_ishomo(c);
if ( c ) {
NEXTNODE(fd0,fd); BDY(fd) = (pointer)ndv_dup(0,c);
ndv_mod(-2,c);
NEXTNODE(in0,in); BDY(in) = (pointer)c;
}
}
if ( in0 ) NEXT(in) = 0;
if ( fd0 ) NEXT(fd) = 0;
if ( !ishomo && homo ) {
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);
}
homogenize_order(ord,nvar,&ord1);
nd_init_ord(ord1);
nd_setup_parameters(nvar+1,wmax);
for ( t = fd0; t; t = NEXT(t) )
ndv_homogenize((NDV)BDY(t),obpe,oadv,oepos,ompos);
}
if ( MaxDeg > 0 ) nocheck = 1;
ret = ndv_setup(-2,m,fd0,nd_gbblock?1:0,0);
if ( ret )
cand = nd_f4_lf_trace_main(m,&perm);
if ( !ret || !cand ) {
*rp = 0; return;
}
if ( !ishomo && homo ) {
/* dehomogenization */
for ( t = cand; t; t = NEXT(t) ) ndv_dehomogenize((NDV)BDY(t),ord);
nd_init_ord(ord);
nd_setup_parameters(nvar,0);
}
cand = ndv_reducebase(cand,perm);
cand = ndv_reduceall(-2,cand);
cbpe = nd_bpe;
get_eg(&eg0);
if ( (ret = ndv_check_membership(-2,in0,obpe,oadv,oepos,cand)) != 0 ) {
/* gbcheck : cand is a GB of Id(cand) ? */
retn = nd_f4(-2,0,0);
}
if ( !retn ) {
/* failure */
*rp = 0; return;
}
get_eg(&eg1); init_eg(&eg_check); add_eg(&eg_check,&eg0,&eg1);
if ( DP_Print )
fprintf(asir_out,"check=%.3fsec\n",eg_check.exectime);
/* dp->p */
nd_bpe = cbpe;
nd_setup_parameters(nd_nvar,0);
for ( r = cand; r; r = NEXT(r) ) {
if ( nd_module ) BDY(r) = ndvtopl(-2,CO,vv,BDY(r),mrank);
else BDY(r) = (pointer)ndvtop(-2,CO,vv,BDY(r));
}
MKLIST(*rp,cand);
}
NODE nd_f4_lf_trace_main(int m,int **indp)
{
int i,nh,stat,index;
NODE r,rm,g;
ND_pairs d,l,l0,t;
ND spol,red;
NDV nf,redv,nfqv,nfv;
NM s0,s;
NODE rp0,srp0,nflist,nflist_lf;
int nsp,nred,col,rank,len,k,j,a;
UINT c;
UINT **spmat;
UINT *s0vect,*svect,*p,*v;
int *colstat;
IndArray *imat;
int *rhead;
int spcol,sprow;
int sugar;
PGeoBucket bucket;
struct oEGT eg0,eg1,eg_f4;
g = 0; d = 0;
for ( i = 0; i < nd_psn; i++ ) {
d = update_pairs(d,g,i,0);
g = update_base(g,i);
}
while ( d ) {
get_eg(&eg0);
l = nd_minsugarp(d,&d);
sugar = 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(1,d);
continue;
}
if ( bucket->m < 0 ) continue;
col = nd_symbolic_preproc(bucket,0,&s0vect,&rp0);
if ( !col ) {
for ( t = l; NEXT(t); t = NEXT(t) );
NEXT(t) = d; d = l;
d = nd_reconstruct(1,d);
continue;
}
get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1);
if ( DP_Print )
fprintf(asir_out,"\nsugar=%d,symb=%.3fsec,",sugar,eg_f4.exectime);
nflist = nd_f4_red(m,l,0,s0vect,col,rp0,&l0);
if ( !l0 ) continue;
l = l0;
/* over LF */
bucket = create_pbucket();
stat = nd_sp_f4(-2,1,l,bucket);
if ( !stat ) {
for ( t = l; NEXT(t); t = NEXT(t) );
NEXT(t) = d; d = l;
d = nd_reconstruct(1,d);
continue;
}
if ( bucket->m < 0 ) continue;
col = nd_symbolic_preproc(bucket,1,&s0vect,&rp0);
if ( !col ) {
for ( t = l; NEXT(t); t = NEXT(t) );
NEXT(t) = d; d = l;
d = nd_reconstruct(1,d);
continue;
}
nflist_lf = nd_f4_red(-2,l,1,s0vect,col,rp0,0);
/* adding new bases */
for ( rm = nflist, r = nflist_lf; r && rm; rm = NEXT(rm), r = NEXT(r) ) {
nfv = (NDV)BDY(rm);
nfqv = (NDV)BDY(r);
if ( DL_COMPARE(HDL(nfv),HDL(nfqv)) ) return 0;
ndv_removecont(m,nfv);
ndv_removecont(-2,nfqv);
nh = ndv_newps(-2,nfv,nfqv,1);
d = update_pairs(d,g,nh,0);
g = update_base(g,nh);
}
if ( r || rm ) return 0;
}
conv_ilist(nd_demand,1,g,indp);
return g;
}
#if SIZEOF_LONG==8
NDV vect64_to_ndv(mp_limb_t *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++]) != 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)
{
NM m;
UINT *t,*s,*u;
int i,st,ed,md,prev,c;
for ( i = 0; i < n; i++ ) r[i] = 0;
prev = 0;
for ( i = 0, m = BDY(d); m; m = NEXT(m) ) {
t = DL(m);
st = prev;
ed = n;
while ( ed > st ) {
md = (st+ed)/2;
u = s0+md*nd_wpd;
c = DL_COMPARE(u,t);
if ( c == 0 ) break;
else if ( c > 0 ) st = md;
else ed = md;
}
r[md] = (mp_limb_t)CM(m);
prev = md;
}
for ( i = 0; !r[i]; i++ );
return i;
}
#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 i,j,k,len,pos,prev;
mp_limb_t 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]) != 0 ) {
Nf4_red++;
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;
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;
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;
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;
}
/* 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;
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;
spcol = col-nred;
get_eg(&eg0);
/* elimination (1st step) */
spmat = (mp_limb_t **)MALLOC(nsp*sizeof(mp_limb_t *));
svect = (mp_limb_t *)MALLOC(col*sizeof(mp_limb_t));
cvect = (mp_limb_t *)MALLOC(col*sizeof(mp_limb_t));
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 = (mp_limb_t *)MALLOC_ATOMIC(spcol*sizeof(mp_limb_t));
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); 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(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); 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,spcol,rank);
fprintf(asir_out,"%.3fsec,",eg_f4.exectime);
}
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;
}
int nd_gauss_elim_mod64(mp_limb_t **mat,int *sugar,ND_pairs *spactive,int row,int col,int md,int *colstat)
{
int i,j,k,l,rank,s;
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;
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]) != 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++;
}
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);
Nf4_red++;
}
}
l--;
}
for ( i = 0; i < row; i++ ) GCFREE(cmat[i]);
GCFREE(cmat);
return rank;
}
#endif