/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.171 2009/02/11 06:30:21 noro Exp $ */
#include "nd.h"
int diag_period = 6;
int (*ndl_compare_function)(UINT *a1,UINT *a2);
int nd_dcomp;
NM _nm_free_list;
ND _nd_free_list;
ND_pairs _ndp_free_list;
NODE nd_hcf;
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 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_ispot,nd_mpos;
static NODE nd_tracelist;
static NODE nd_alltracelist;
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(Q *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);
pointer GC_malloc_atomic_ignore_off_page(int);
void nmtodp(int mod,NM m,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);
extern int Denominator,DP_Multiple;
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)GC_malloc(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT));
p->next = _nm_free_list; _nm_free_list = p;
}
}
void _ND_alloc()
{
ND p;
int i;
for ( i = 0; i < 1024; i++ ) {
p = (ND)GC_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)GC_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;
}
}
INLINE int ndl_reducible(UINT *d1,UINT *d2)
{
UINT u1,u2;
int i,j;
if ( nd_module && (MPOS(d1) != MPOS(d2)) ) return 0;
if ( 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 && current_module_weight_vector && MPOS(d) )
t += current_module_weight_vector[MPOS(d)];
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_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;
int *v;
for ( j = 0; j < nd_nvar; j++ )
nd_work_vector[j] = GET_EXP(d1,j)-GET_EXP(d2,j);
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;
}
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:
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);
}
int ndl_module_grlex_compare(UINT *d1,UINT *d2)
{
int i,c;
if ( nd_ispot ) {
if ( MPOS(d1) < MPOS(d2) ) return 1;
else if ( MPOS(d1) > MPOS(d2) ) return -1;
}
if ( TD(d1) > TD(d2) ) return 1;
else if ( TD(d1) < TD(d2) ) return -1;
if ( c = ndl_lex_compare(d1,d2) ) return c;
if ( !nd_ispot ) {
if ( MPOS(d1) < MPOS(d2) ) return 1;
else if ( MPOS(d1) > MPOS(d2) ) return -1;
}
return 0;
}
int ndl_module_glex_compare(UINT *d1,UINT *d2)
{
int i,c;
if ( nd_ispot ) {
if ( MPOS(d1) < MPOS(d2) ) return 1;
else if ( MPOS(d1) > MPOS(d2) ) return -1;
}
if ( TD(d1) > TD(d2) ) return 1;
else if ( TD(d1) < TD(d2) ) return -1;
if ( c = ndl_lex_compare(d1,d2) ) return c;
if ( !nd_ispot ) {
if ( MPOS(d1) < MPOS(d2) ) return 1;
else if ( MPOS(d1) > MPOS(d2) ) return -1;
}
return 0;
}
int ndl_module_lex_compare(UINT *d1,UINT *d2)
{
int i,c;
if ( nd_ispot ) {
if ( MPOS(d1) < MPOS(d2) ) return 1;
else if ( MPOS(d1) > MPOS(d2) ) return -1;
}
if ( c = ndl_lex_compare(d1,d2) ) return c;
if ( !nd_ispot ) {
if ( MPOS(d1) < MPOS(d2) ) return 1;
else if ( MPOS(d1) > MPOS(d2) ) return -1;
}
return 0;
}
int ndl_module_block_compare(UINT *d1,UINT *d2)
{
int i,c;
if ( nd_ispot ) {
if ( MPOS(d1) < MPOS(d2) ) return 1;
else if ( MPOS(d1) > MPOS(d2) ) return -1;
}
if ( c = ndl_block_compare(d1,d2) ) return c;
if ( !nd_ispot ) {
if ( MPOS(d1) < MPOS(d2) ) return 1;
else if ( MPOS(d1) > MPOS(d2) ) return -1;
}
return 0;
}
int ndl_module_matrix_compare(UINT *d1,UINT *d2)
{
int i,c;
if ( nd_ispot ) {
if ( MPOS(d1) < MPOS(d2) ) return 1;
else if ( MPOS(d1) > MPOS(d2) ) return -1;
}
if ( c = ndl_matrix_compare(d1,d2) ) return c;
if ( !nd_ispot ) {
if ( MPOS(d1) < MPOS(d2) ) return 1;
else if ( MPOS(d1) > MPOS(d2) ) return -1;
}
return 0;
}
int ndl_module_composite_compare(UINT *d1,UINT *d2)
{
int i,c;
if ( nd_ispot ) {
if ( MPOS(d1) > MPOS(d2) ) return 1;
else if ( MPOS(d1) < MPOS(d2) ) return -1;
}
if ( c = ndl_composite_compare(d1,d2) ) return c;
if ( !nd_ispot ) {
if ( MPOS(d1) > MPOS(d2) ) return 1;
else if ( MPOS(d1) < MPOS(d2) ) return -1;
}
return 0;
}
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;
int r;
r = 0;
for ( i = 0; i < nd_wpd; i++ )
r = ((r<<16)+d[i])%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;
if ( !p1 ) return p2;
else if ( !p2 ) return p1;
else if ( mod == -1 ) return nd_add_sf(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;
Q 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 ) {
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(HCQ(g),HCQ(p),&gcd,&cg,&cred);
chsgnq(cg,&CQ(mul));
nd_mul_c_q(d,(P)cred); nd_mul_c_q(g,(P)cred);
if ( dn ) {
mulq(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,NDC dn,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,iq;
DP dmul;
NODE node;
LIST hist;
double hmag;
P tp,tp1;
Obj tr,tr1,div;
union oNDC hg;
P cont;
if ( dn ) {
if ( mod )
dn->m = 1;
else if ( nd_vc )
dn->r = (R)ONE;
else
dn->z = ONE;
}
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)ALLOCA(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,dn,&div);
if ( GenTrace ) {
/* Trace=[div,index,mul,ONE] */
STOQ(index,iq);
nmtodp(mod,mul,&dmul);
node = mknode(4,div,iq,dmul,ONE);
}
sugar = MAX(sugar,SG(p)+TD(DL(mul)));
if ( !mod && g && ((double)(p_mag(HCP(g))) > hmag) ) {
hg = HCU(g);
nd_removecont2(d,g);
if ( dn || GenTrace ) {
/* overwrite cont : Trace=[div,index,mul,cont] */
cont = ndc_div(mod,hg,HCU(g));
if ( dn ) {
if ( nd_vc ) {
divr(nd_vc,(Obj)dn->r,(Obj)cont,&tr);
reductr(nd_vc,(Obj)tr,&tr1); dn->r = (R)tr1;
} else divq(dn->z,(Q)cont,&dn->z);
}
if ( 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;
Q 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)HCQ(g)))*nd_scale;
bucket = create_pbucket();
add_pbucket(mod,bucket,g);
d = 0;
mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT));
while ( 1 ) {
hindex = mod?head_pbucket(mod,bucket):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 ) {
c1 = invm(HCM(p),mod); c2 = mod-HCM(g);
DMAR(c1,c2,0,mod,c); CM(mul) = c;
} else {
igcd_cofactor(HCQ(g),HCQ(p),&gcd,&cg,&cred);
chsgnq(cg,&CQ(mul));
nd_mul_c_q(d,(P)cred);
mulq_pbucket(bucket,cred);
g = bucket->body[hindex];
gmag = (double)p_mag((P)HCQ(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)HCQ(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;
Q q;
LIST list;
ndv_setup(m,0,cand,GenTrace?1:0,1);
n = length(cand);
if ( 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);
d = ndvtond(m,r);
stat = nd_nf(m,0,d,nd_ps,0,0,&nf);
if ( !stat ) {
nd_reconstruct(0,0);
goto again;
} else if ( nf ) return 0;
if ( GenTrace ) {
nd_tracelist = reverse_node(nd_tracelist);
MKLIST(list,nd_tracelist);
STOQ(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;
}
GC_free(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,Q 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;
Q 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 = HCQ(gj);
} else {
nv = NV(gi);
c = DL_COMPARE(HDL(gi),HDL(gj));
if ( c > 0 ) {
if ( sum ) HCQ(gj) = sum;
else g->body[j] = nd_remove_head(gj);
j = i;
gj = g->body[j];
sum = HCQ(gj);
} else if ( c == 0 ) {
addq(sum,HCQ(gi),&t);
sum = t;
g->body[i] = nd_remove_head(gi);
}
}
}
if ( j < 0 ) return -1;
else if ( sum ) {
HCQ(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,num,den;
P nm,nmp,dn,mnp,dnp,cont,cont1;
union oNDC hc;
NODE node;
LIST l;
Q iq;
for ( i = nd_psn-1; i >= 0 && SG(nd_psh[i]) == sugar; i-- ) {
if ( GenTrace ) {
/* Trace = [1,index,1,1] */
STOQ(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,1,0,&nf);
if ( !stat ) return 0;
ndv_free(nfv);
hc = HCU(nf); nd_removecont(m,nf);
cont = ndc_div(m,hc,HCU(nf));
if ( 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;
}
/* 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;
Q q,num,den;
union oNDC dn,hc;
int diag_count = 0;
P cont;
LIST list;
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 ( 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&&!GenTrace)?nd_nf_pbucket(m,h,nd_ps,!Top,&nf)
:nd_nf(m,0,h,nd_ps,!Top,0,&nf);
#else
stat = nd_nf(m,0,h,nd_ps,!Top,0,&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 ( 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 ( GenTrace ) {
cont = ndc_div(m,hc,HCU(nf));
if ( m || !UNIQ(cont) ) {
t = mknode(4,0,0,0,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);
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 ( GenTrace && gensyz ) {
nd_tracelist = reverse_node(nd_tracelist);
MKLIST(list,nd_tracelist);
STOQ(-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.\n"); fflush(stdout); }
return g;
}
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;
Q iq;
P cont,cont1;
for ( i = nd_psn-1; i >= 0 && SG(nd_psh[i]) == sugar; i-- ) {
if ( GenTrace ) {
/* Trace = [1,index,1,1] */
STOQ(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,1,0,&nf);
if ( !stat ) return 0;
ndv_free(nfv);
hc = HCU(nf); nd_removecont(0,nf);
cont = ndc_div(0,hc,HCU(nf));
if ( 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;
Q 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 ( 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,0,&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,0,&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 = (Q)hc;
} else
q = HCQ(nfq);
if ( !rem(NM(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 ( GenTrace ) {
cont = ndc_div(0,hnfq,HCU(nfqv));
if ( !UNIQ(cont) ) {
t = mknode(4,0,0,0,cont);
MKLIST(list,t); MKNODE(t,list,nd_tracelist);
nd_tracelist = t;
}
}
nh = ndv_newps(0,nfv,nfqv);
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 ) {
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;
Q iq,jq;
int *perm;
union oNDC hc;
P cont,cont1;
n = length(f);
ndv_setup(m,0,f,0,1);
perm = (int *)MALLOC(n*sizeof(int));
if ( GenTrace ) {
for ( t = nd_tracelist, i = 0; i < n; i++, t = NEXT(t) )
perm[i] = QTOS((Q)ARG1(BDY((LIST)BDY(t))));
}
for ( i = 0; i < n; ) {
if ( GenTrace ) {
/* Trace = [1,index,1,1] */
STOQ(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,1,0,&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 ( GenTrace ) {
for ( t = nd_tracelist; t; t = NEXT(t) ) {
jq = ARG1(BDY((LIST)BDY(t))); j = QTOS(jq);
STOQ(perm[j],jq); ARG1(BDY((LIST)BDY(t))) = jq;
}
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 ( !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 && 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;
ND_pairs r,r0;
dl = DL(nd_psh[t]);
ts = SG(nd_psh[t]) - TD(dl);
for ( r0 = 0, h = g; h; h = NEXT(h) ) {
if ( nd_module && (MPOS(DL(nd_psh[(long)BDY(h)])) != MPOS(dl)) )
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));
}
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 *)ALLOCA(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;
}
s = SG(m);
if ( !NoSugar ) {
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;
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 ndv_newps(int m,NDV a,NDV aq)
{
int len;
RHist r;
NDV b;
NODE tn;
LIST l;
Q 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 *));
}
NEWRHist(r); nd_psh[nd_psn] = r;
nd_ps[nd_psn] = a;
if ( aq ) {
nd_ps_trace[nd_psn] = aq;
register_hcf(aq);
nd_bound[nd_psn] = ndv_compute_bound(aq);
SG(r) = SG(aq); ndl_copy(HDL(aq),DL(r));
} else {
if ( !m ) register_hcf(a);
nd_bound[nd_psn] = ndv_compute_bound(a);
SG(r) = SG(a); ndl_copy(HDL(a),DL(r));
}
if ( nd_demand ) {
if ( aq ) {
ndv_save(nd_ps_trace[nd_psn],nd_psn);
nd_ps_trace[nd_psn] = 0;
} else {
ndv_save(nd_ps[nd_psn],nd_psn);
nd_ps[nd_psn] = 0;
}
}
if ( GenTrace ) {
/* reverse the tracelist and append it to alltracelist */
nd_tracelist = reverse_node(nd_tracelist); MKLIST(l,nd_tracelist);
STOQ(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]] */
void 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;
Q iq,jq,hcq;
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)ALLOCA(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_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 ) {
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);
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 ( GenTrace ) {
STOQ(i,iq); STOQ(w[i].i,jq); node = mknode(3,iq,jq,ONE);
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_trace[i] = 0;
} else {
ndv_save(nd_ps[i],i);
nd_ps[i] = 0;
}
}
}
if ( GenTrace && nd_tracelist ) NEXT(tn) = 0;
}
struct order_spec *append_block(struct order_spec *spec,
int nv,int nalg,int ord);
extern VECT current_dl_weight_vector_obj;
static VECT prev_weight_vector_obj;
void preprocess_algcoef(VL vv,VL av,struct order_spec *ord,LIST f,
struct order_spec **ord1p,LIST *f1p,NODE *alistp)
{
NODE alist,t,s,r0,r,arg;
VL tv;
P poly;
DP d;
Alg alpha,dp;
DAlg inv,da,hc;
MP m;
int i,nvar,nalg,n;
NumberField nf;
LIST f1,f2;
struct order_spec *current_spec;
VECT obj,obj0;
Obj tmp;
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++);
for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++);
for ( alist = 0, tv = av; tv; tv = NEXT(tv) ) {
NEXTNODE(alist,t); MKV(tv->v,poly);
MKAlg(poly,alpha); BDY(t) = (pointer)alpha;
tv->v = tv->v->priv;
}
NEXT(t) = 0;
/* simplification, making polynomials monic */
setfield_dalg(alist);
obj_algtodalg(f,&f1);
for ( t = BDY(f); t; t = NEXT(t) ) {
initd(ord); ptod(vv,vv,(P)BDY(t),&d);
hc = (DAlg)BDY(d)->c;
if ( NID(hc) == N_DA ) {
invdalg(hc,&inv);
for ( m = BDY(d); m; m = NEXT(m) ) {
muldalg(inv,(DAlg)m->c,&da); m->c = (P)da;
}
}
initd(ord); dtop(vv,vv,d,&poly); BDY(f) = (pointer)poly;
}
obj_dalgtoalg(f1,&f);
/* append alg vars to the var list */
for ( tv = vv; NEXT(tv); tv = NEXT(tv) );
NEXT(tv) = av;
/* append a block to ord */
*ord1p = append_block(ord,nvar,nalg,2);
/* create generator list */
nf = get_numberfield();
for ( i = nalg-1, t = BDY(f); i >= 0; i-- ) {
MKAlg(nf->defpoly[i],dp);
MKNODE(s,dp,t); t = s;
}
MKLIST(f1,t);
*alistp = alist;
algobjtorat(f1,f1p);
/* creating a new weight vector */
prev_weight_vector_obj = obj0 = current_dl_weight_vector_obj;
n = nvar+nalg+1;
MKVECT(obj,n);
if ( obj0 && obj0->len == nvar )
for ( i = 0; i < nvar; i++ ) BDY(obj)[i] = BDY(obj0)[i];
else
for ( i = 0; i < nvar; i++ ) BDY(obj)[i] = (pointer)ONE;
for ( i = 0; i < nalg; i++ ) BDY(obj)[i+nvar] = 0;
BDY(obj)[n-1] = (pointer)ONE;
arg = mknode(1,obj);
Pdp_set_weight(arg,&tmp);
}
NODE postprocess_algcoef(VL av,NODE alist,NODE r)
{
NODE s,t,u0,u;
P p;
VL tv;
Obj obj,tmp;
NODE arg;
u0 = 0;
for ( t = r; t; t = NEXT(t) ) {
p = (P)BDY(t);
for ( tv = av, s = alist; tv; tv = NEXT(tv), s = NEXT(s) ) {
substr(CO,0,(Obj)p,tv->v,(Obj)BDY(s),&obj); p = (P)obj;
}
if ( OID(p) == O_P || (OID(p) == O_N && NID((Num)p) != N_A) ) {
NEXTNODE(u0,u);
BDY(u) = (pointer)p;
}
}
arg = mknode(1,prev_weight_vector_obj);
Pdp_set_weight(arg,&tmp);
return u0;
}
void nd_gr(LIST f,LIST v,int m,int f4,struct order_spec *ord,LIST *rp)
{
VL tv,fv,vv,vc,av;
NODE fd,fd0,r,r0,t,x,s,xx,alist;
int e,max,nvar,i;
NDV b;
int ishomo,nalg,mrank,trank;
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;
LIST l1,l2,l3,l4,l5;
int j;
Q jq;
int *perm;
EPOS oepos;
int obpe,oadv,ompos;
nd_module = 0;
if ( !m && Demand ) nd_demand = 1;
else nd_demand = 0;
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);
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 = 0; 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;
for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {
if ( nd_module ) {
if ( !m && !GenTrace ) pltozpl((LIST)BDY(t),&dmy,&zpl);
else zpl = (LIST)BDY(t);
b = (pointer)pltondv(CO,vv,zpl);
} else {
if ( !m && !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;
ndv_setup(m,0,fd0,0,0);
if ( GenTrace ) {
MKLIST(l1,nd_tracelist); MKNODE(nd_alltracelist,l1,0);
}
x = f4?nd_f4(m,&perm):nd_gb(m,ishomo,0,0,&perm);
nd_demand = 0;
x = ndv_reducebase(x,perm);
if ( GenTrace ) { tl1 = nd_alltracelist; nd_alltracelist = 0; }
x = ndv_reduceall(m,x);
if ( GenTrace ) {
tl2 = nd_alltracelist; nd_alltracelist = 0;
ndv_check_membership(m,fd0,obpe,oadv,oepos,x);
if ( GenTrace ) {
tl3 = nd_alltracelist; nd_alltracelist = 0;
} else tl3 = 0;
nd_gb(m,0,1,GenSyz?1:0,0)!=0;
if ( GenTrace && GenSyz ) {
tl4 = nd_alltracelist; nd_alltracelist = 0;
} else tl4 = 0;
}
for ( r0 = 0, t = x; t; t = NEXT(t) ) {
NEXTNODE(r0,r);
if ( nd_module ) BDY(r) = ndvtopl(m,CO,vv,BDY(t),mrank);
else BDY(r) = ndvtop(m,CO,vv,BDY(t));
}
if ( r0 ) NEXT(r) = 0;
if ( nalg )
r0 = postprocess_algcoef(av,alist,r0);
MKLIST(*rp,r0);
if ( 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[QTOS((Q)ARG0(s))]; STOQ(j,jq); ARG0(s) = (pointer)jq;
for ( s = BDY((LIST)ARG1(s)); s; s = NEXT(s) ) {
j = perm[QTOS((Q)ARG1(BDY((LIST)BDY(s))))]; STOQ(j,jq);
ARG1(BDY((LIST)BDY(s))) = (pointer)jq;
}
}
for ( j = length(x)-1, t = 0; j >= 0; j-- ) {
STOQ(perm[j],jq); MKNODE(s,jq,t); t = s;
}
MKLIST(l1,tl1); MKLIST(l2,tl2); MKLIST(l3,t); MKLIST(l4,tl3);
MKLIST(l5,tl4);
tr = mknode(7,*rp,0,l1,l2,l3,l4,l5); 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;
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 = 0; t; t = NEXT(t) )
for ( tv = vv; tv; tv = NEXT(tv) ) {
e = getdeg(tv->v,(P)BDY(t));
max = MAX(e,max);
}
nd_setup_parameters(nvar,max);
ishomo = 1;
for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {
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 {
for ( t = x; t; t = NEXT(t) )
BDY(t) = (pointer)nd_ps[(long)BDY(t)];
}
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 ( nalg )
r0 = postprocess_algcoef(av,alist,r0);
MKLIST(*rp,r0);
}
void nd_gr_trace(LIST f,LIST v,int trace,int homo,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;
Q jq;
nd_module = 0;
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 = 0; 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;
for ( in0 = 0, fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {
if ( nd_module ) {
if ( !GenTrace ) pltozpl((LIST)BDY(t),&dmy,&zpl);
else zpl = (LIST)BDY(t);
c = (pointer)pltondv(CO,vv,zpl);
} else {
if ( !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);
}
while ( 1 ) {
if ( Demand )
nd_demand = 1;
ndv_setup(m,1,fd0,0,0);
if ( GenTrace ) {
MKLIST(l1,nd_tracelist); MKNODE(nd_alltracelist,l1,0);
}
cand = f4?nd_f4_trace(m,&perm):nd_gb_trace(m,ishomo || homo,&perm);
if ( !cand ) {
/* failure */
if ( trace > 1 ) { *rp = 0; return; }
else m = get_lprime(++mindex);
continue;
}
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 ( GenTrace ) { tl1 = nd_alltracelist; nd_alltracelist = 0; }
cand = ndv_reduceall(0,cand);
cbpe = nd_bpe;
if ( GenTrace ) { tl2 = nd_alltracelist; nd_alltracelist = 0; }
if ( nocheck )
break;
get_eg(&eg0);
if ( ret = ndv_check_membership(0,in0,obpe,oadv,oepos,cand) ) {
if ( GenTrace ) {
tl3 = nd_alltracelist; nd_alltracelist = 0;
} else tl3 = 0;
/* gbcheck : cand is a GB of Id(cand) ? */
ret = nd_gb(0,0,1,GenSyz?1:0,0)!=0;
if ( GenTrace && 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=%fsec\n",eg_check.exectime+eg_check.gctime);
/* dp->p */
nd_bpe = cbpe;
nd_setup_parameters(nd_nvar,0);
for ( r = cand; r; r = NEXT(r) ) {
if ( nd_module ) BDY(r) = ndvtopl(0,CO,vv,BDY(r),mrank);
else BDY(r) = (pointer)ndvtop(0,CO,vv,BDY(r));
}
if ( nalg )
cand = postprocess_algcoef(av,alist,cand);
MKLIST(*rp,cand);
if ( 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[QTOS((Q)ARG0(s))]; STOQ(j,jq); ARG0(s) = (pointer)jq;
for ( s = BDY((LIST)ARG1(s)); s; s = NEXT(s) ) {
j = perm[QTOS((Q)ARG1(BDY((LIST)BDY(s))))]; STOQ(j,jq);
ARG1(BDY((LIST)BDY(s))) = (pointer)jq;
}
}
for ( j = length(cand)-1, t = 0; j >= 0; j-- ) {
STOQ(perm[j],jq); MKNODE(s,jq,t); t = s;
}
MKLIST(l1,tl1); MKLIST(l2,tl2); MKLIST(l3,t); MKLIST(l4,tl3);
MKLIST(l5,tl4);
tr = mknode(7,*rp,(!ishomo&&homo)?ONE:0,l1,l2,l3,l4,l5); 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 = 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 = ndctop(mod,m->c);
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 ( 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)CQ(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;
Q *w;
Q dvr,t;
NM m;
struct oVECT v;
N q,r;
if ( mod == -1 ) nd_mul_c(mod,p,_invsf(HCM(p)));
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 = (Q *)ALLOCA(n*sizeof(Q));
v.len = n;
v.body = (pointer *)w;
for ( m = BDY(p), i = 0; i < n; m = NEXT(m), i++ ) w[i] = CQ(m);
removecont_array((P *)w,n,1);
for ( m = BDY(p), i = 0; i < n; m = NEXT(m), i++ ) CQ(m) = w[i];
}
}
void nd_removecont2(ND p1,ND p2)
{
int i,n1,n2,n;
Q *w;
Q dvr,t;
NM m;
struct oVECT v;
N q,r;
n1 = nd_length(p1);
n2 = nd_length(p2);
n = n1+n2;
w = (Q *)ALLOCA(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] = CQ(m);
if ( p2 )
for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) w[i] = CQ(m);
removecont_array((P *)w,n,1);
i = 0;
if ( p1 )
for ( m = BDY(p1); i < n1; m = NEXT(m), i++ ) CQ(m) = w[i];
if ( p2 )
for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) CQ(m) = w[i];
}
void ndv_removecont(int mod,NDV p)
{
int i,len,all_p;
Q *c;
P *w;
Q dvr,t;
P g,cont,tp;
NMV m;
if ( mod == -1 )
ndv_mul_c(mod,p,_invsf(HCM(p)));
else if ( mod )
ndv_mul_c(mod,p,invm(HCM(p),mod));
else {
len = p->len;
w = (P *)ALLOCA(len*sizeof(P));
c = (Q *)ALLOCA(len*sizeof(Q));
for ( m = BDY(p), all_p = 1, i = 0; i < len; NMV_ADV(m), i++ ) {
ptozp(CP(m),1,&c[i],&w[i]);
all_p = all_p && !NUM(w[i]);
}
if ( all_p ) {
qltozl(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)ALLOCA(nmv_adv);
for ( i = 0; i < len; i++, NMV_OPREV(m), NMV_PREV(mr) ) {
ndl_homogenize(DL(m),DL(t),obpe,oepos,ompos,max);
CQ(mr) = CQ(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++ ) {
CQ(r) = CQ(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 *)ALLOCA(m*sizeof(P));
tpl1 = (P *)ALLOCA(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;
Q *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((Q *)p,n);
} else {
c = (Q *)ALLOCA(n*sizeof(Q));
w = (P *)ALLOCA(n*sizeof(P));
for ( i = 0; i < n; i++ ) {
ptozp(p[i],1,&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]);
}
}
}
void removecont_array_q(Q *c,int n)
{
struct oVECT v;
Q d0,d1,a,u,u1,gcd;
int i,j;
N qn,rn,gn;
Q *q,*r;
q = (Q *)ALLOCA(n*sizeof(Q));
r = (Q *)ALLOCA(n*sizeof(Q));
v.id = O_VECT; v.len = n; v.body = (pointer *)c;
igcdv_estimate(&v,&d0);
for ( i = 0; i < n; i++ ) {
divn(NM(c[i]),NM(d0),&qn,&rn);
NTOQ(qn,SGN(c[i])*SGN(d0),q[i]);
NTOQ(rn,SGN(c[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;
igcdv(&v,&d1);
gcdn(NM(d0),NM(d1),&gn); NTOQ(gn,1,gcd);
divsn(NM(d0),gn,&qn); NTOQ(qn,1,a);
for ( i = 0; i < n; i++ ) {
mulq(a,q[i],&u);
if ( r[i] ) {
divsn(NM(r[i]),gn,&qn); NTOQ(qn,SGN(r[i]),u1);
addq(u,u1,&q[i]);
} else
q[i] = u;
}
}
for ( i = 0; i < n; i++ ) 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_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)
{
GC_free(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 *)ALLOCA(nd_wpd*sizeof(UINT));
d2 = (UINT *)ALLOCA(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 *)ALLOCA(nd_wpd*sizeof(UINT));
d2 = (UINT *)ALLOCA(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:
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:
error("nd_get_exporigin : composite order is not supported yet.");
}
}
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;
}
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);
if ( trace )
for ( i = nd_psn-1; i >= 0; i-- )
ndv_realloc(nd_ps_trace[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 *)ALLOCA(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;
Q g,t,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 ) {
CM(m1) = HCM(p2); CM(m2) = mod-HCM(p1);
} 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(HCQ(p1),HCQ(p2),&g,&t,&CQ(m1)); chsgnq(t,&CQ(m2));
}
t1 = ndv_mul_nm(mod,m1,p1); t2 = ndv_mul_nm(mod,m2,p2);
*rp = nd_add(mod,t1,t2);
if ( GenTrace ) {
/* nd_tracelist is initialized */
STOQ(p->i1,iq); nmtodp(mod,m1,&d); node = mknode(4,ONE,iq,d,ONE);
MKLIST(hist,node); MKNODE(nd_tracelist,hist,0);
STOQ(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_q(NDV p,Q mul)
{
NMV m;
Q c;
int len,i;
if ( !p ) return;
len = LEN(p);
for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
mulq(CQ(m),mul,&c); CQ(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 *)ALLOCA(tlen*sizeof(NM));
psum = (NM *)ALLOCA(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;
Q *ctab_q;
Q 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
mulq(CQ(m0),CQ(m1),&CQ(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] ) {
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 *)ALLOCA((min+1)*sizeof(UINT));
mkwcm(k,l,mod,ctab);
} else {
ctab_q = (Q *)ALLOCA((min+1)*sizeof(Q));
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 {
mulq(CQ(tab[u]),q,&q1); CQ(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
mulq(CQ(tab[u]),q,&CQ(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 == -1 )
error("ndv_mul_nm : not implemented (weyl)");
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 ) {
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;
N tnm;
if ( bucket->m < 0 ) return 0;
else {
nv = NV(d);
mq0 = 0;
tm = (NMV)ALLOCA(nmv_adv);
while ( 1 ) {
hindex = mod?head_pbucket(mod,bucket):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 {
divsn(NM(HCQ(p)),NM(HCQ(d)),&tnm);
NTOQ(tnm,SGN(HCQ(p))*SGN(HCQ(d)),CQ(mq));
chsgnq(CQ(mq),&CQ(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)ALLOCA(nmv_adv);
for ( i = 0; i < len; i++, NMV_OPREV(m), NMV_PREV(mr) ) {
CQ(t) = CQ(m);
for ( k = 0; k < nd_wpd; k++ ) DL(t)[k] = 0;
ndl_reconstruct(DL(m),DL(t),obpe,oepos);
CQ(mr) = CQ(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);
CQ(mr) = CQ(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?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));
CQ(m) = CQ(t);
}
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));
CQ(m) = CQ(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;
Q 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);
r = FTOIF(CONT((GFS)gfs));
CM(d) = r;
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 = (Q)cp;
} else
c = CQ(t);
r = rem(NM(c),mod);
if ( r ) {
if ( SGN(c) < 0 )
r = mod-r;
if ( DN(c) ) {
s = rem(DN(c),mod);
if ( !s )
error("ndv_mod : division by 0");
s = invm(s,mod);
DMAR(r,s,0,mod,u); r = u;
}
CM(d) = r;
ndl_copy(DL(t),DL(d));
NMV_ADV(d);
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;
Q dvr;
LIST r;
nd = BDY(l); n = length(nd);
pl = (P *)ALLOCA(n*sizeof(P));
cl = (Q *)ALLOCA(n*sizeof(P));
for ( i = 0; i < n; i++, nd = NEXT(nd) )
ptozp((P)BDY(nd),1,&cl[i],&dmy);
qltozl(cl,n,&dvr);
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));
CQ(m) = (Q)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 *)ALLOCA(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 = QTOS(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;
Q 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 ) {
STOQ(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); STOQ(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;
Q 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 *)ALLOCA((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 ) {
STOQ(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); STOQ(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 )
m0 = m = (NMV)GC_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));
CQ(m) = CQ(t);
}
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));
CQ(m) = CQ(t);
}
NEXT(m) = 0;
MKND(NV(p),m0,len,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)CQ(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)ALLOCA(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 */
void nd_init_ord(struct order_spec *ord)
{
nd_module = (ord->id >= 256);
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:
nd_ispot = ord->ispot;
nd_dcomp = -1;
switch ( ord->ord.simple ) {
case 0:
nd_isrlex = 1;
ndl_compare_function = ndl_module_grlex_compare;
break;
case 1:
nd_isrlex = 0;
ndl_compare_function = ndl_module_glex_compare;
break;
case 2:
nd_isrlex = 0;
ndl_compare_function = ndl_module_lex_compare;
break;
default:
error("nd_gr : unsupported order");
}
break;
case 257:
/* block order */
ndl_compare_function = ndl_module_block_compare;
break;
case 258:
/* matrix order */
nd_matrix_len = ord->ord.matrix.row;
nd_matrix = ord->ord.matrix.matrix;
ndl_compare_function = ndl_module_matrix_compare;
break;
case 259:
/* composite order */
nd_worb_len = ord->ord.composite.length;
nd_worb = ord->ord.composite.w_or_b;
ndl_compare_function = ndl_module_composite_compare;
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:
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(P f,LIST g,LIST v,int m,struct order_spec *ord,P *rp)
{
NODE t,in0,in;
ND nd,nf;
NDV ndv;
VL vv,tv;
int stat,nvar,max,e;
union oNDC dn;
Q cont;
P pp;
if ( !f ) {
*rp = 0;
return;
}
pltovl(v,&vv);
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ );
/* get the degree bound */
for ( t = BDY(g), max = 0; t; t = NEXT(t) )
for ( tv = vv; tv; tv = NEXT(tv) ) {
e = getdeg(tv->v,(P)BDY(t));
max = MAX(e,max);
}
for ( tv = vv; tv; tv = NEXT(tv) ) {
e = getdeg(tv->v,f);
max = MAX(e,max);
}
nd_init_ord(ord);
nd_setup_parameters(nvar,max);
/* conversion to ndv */
for ( in0 = 0, t = BDY(g); t; t = NEXT(t) ) {
NEXTNODE(in0,in);
ptozp((P)BDY(t),1,&cont,&pp);
BDY(in) = (pointer)ptondv(CO,vv,pp);
if ( m ) ndv_mod(m,(NDV)BDY(in));
}
NEXTNODE(in0,in);
BDY(in) = (pointer)ptondv(CO,vv,f);
if ( m ) ndv_mod(m,(NDV)BDY(in));
NEXT(in) = 0;
/* dont sort, dont removecont */
ndv_setup(m,0,in0,1,1);
nd_psn--;
nd_scale=2;
while ( 1 ) {
nd = (pointer)ndvtond(m,nd_ps[nd_psn]);
stat = nd_nf(m,0,nd,nd_ps,1,0,&nf);
if ( !stat ) {
nd_psn++;
nd_reconstruct(0,0);
nd_psn--;
} else
break;
}
*rp = 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,Q *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] = CQ(m);
}
for ( i = 0; !r[i]; i++ );
return i;
}
Q *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;
Q *r;
m = pair->mul;
d = DL(m);
p = nd_ps[pair->index];
len = LEN(p);
r = (Q *)CALLOC(n,sizeof(Q));
t = (UINT *)ALLOCA(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] = CQ(mr);
}
return r;
}
IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0,int n,NM_ind_pair pair)
{
NM m;
NMV mr;
UINT *d,*t,*s;
NDV p;
unsigned char *ivc;
unsigned short *ivs;
UINT *v,*ivi,*s0v;
int i,j,len,prev,diff,cdiff;
IndArray r;
m = pair->mul;
d = DL(m);
p = nd_ps[pair->index];
len = LEN(p);
t = (UINT *)ALLOCA(nd_wpd*sizeof(UINT));
v = (unsigned int *)ALLOCA(len*sizeof(unsigned int));
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++ );
v[j] = i;
}
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(Q *svect,Q *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(Q *svect,Q *cvect,int n)
{
int i,j;
for ( i = j = 0; j < n; i++ )
if ( svect[i] ) svect[i] = cvect[j++];
}
int ndv_reduce_vect_q(Q *svect,int trace,int col,IndArray *imat,NM_ind_pair *rp0,int nred)
{
int i,j,k,len,pos,prev,nz;
Q 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;
Q *cvect;
maxrs = 0;
for ( i = 0; i < col && !svect[i]; i++ );
if ( i == col ) return maxrs;
hmag = p_mag((P)svect[i])*nd_scale;
cvect = (Q *)ALLOCA(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 = trace?nd_ps_trace[rp0[i]->index]:nd_ps[rp0[i]->index];
len = LEN(redv); mr = BDY(redv);
igcd_cofactor(svect[k],CQ(mr),&gcd,&cs,&cr);
chsgnq(cs,&mcs);
if ( !UNIQ(cr) ) {
for ( j = 0; j < col; j++ ) {
mulq(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;
mulq(CQ(mr),mcs,&c2); addq(svect[pos],c2,&t); svect[pos] = t;
}
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;
mulq(CQ(mr),mcs,&c2); addq(svect[pos],c2,&t); svect[pos] = t;
}
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;
mulq(CQ(mr),mcs,&c2); addq(svect[pos],c2,&t); svect[pos] = t;
}
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;
}
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] ) {
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); c2 = svect[pos];
prev = 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); c2 = svect[pos];
prev = 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); c2 = svect[pos];
prev = 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; svect[k] %= m;
if ( c = svect[k] ) {
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;
}
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)GC_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++] ) {
ndl_copy(p,DL(mr)); CM(mr) = c; NMV_ADV(mr);
}
}
MKNDV(nd_nvar,mr0,len,r);
return r;
}
}
/* for preprocessed vector */
NDV vect_to_ndv_q(Q *vect,int spcol,int col,int *rhead,UINT *s0vect)
{
int j,k,len;
UINT *p;
Q 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)GC_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++] ) {
if ( DN(c) )
error("afo");
ndl_copy(p,DL(mr)); CQ(mr) = c; NMV_ADV(mr);
}
}
MKNDV(nd_nvar,mr0,len,r);
return r;
}
}
/* for plain vector */
NDV plain_vect_to_ndv_q(Q *vect,int col,UINT *s0vect)
{
int j,k,len;
UINT *p;
Q 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)GC_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] ) {
if ( DN(c) )
error("afo");
ndl_copy(p,DL(mr)); CQ(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;
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;
}
NODE nd_f4(int m,int **indp)
{
int i,nh,stat,index;
NODE r,g;
ND_pairs d,l,t;
ND spol,red;
NDV nf,redv;
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;
#if 0
ndv_alloc = 0;
#endif
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);
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);
if ( DP_Print )
fprintf(asir_out,"sugar=%d,symb=%fsec,",
sugar,eg_f4.exectime+eg_f4.gctime);
if ( 1 )
nflist = nd_f4_red(m,l,0,s0vect,col,rp0,0);
else
nflist = nd_f4_red_dist(m,l,s0vect,col,rp0,0);
/* adding new bases */
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);
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(0,0,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);
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,"sugar=%d,symb=%fsec,",
sugar,eg_f4.exectime+eg_f4.gctime);
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 ( !rem(NM(HCQ(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);
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(0,1,g,indp);
return g;
}
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;
int *rhead;
NODE r0,rp;
ND_pairs sp;
NM_ind_pair *rvect;
for ( sp = sp0, nsp = 0; sp; sp = NEXT(sp), nsp++ );
nred = length(rp0);
imat = (IndArray *)ALLOCA(nred*sizeof(IndArray));
rhead = (int *)ALLOCA(col*sizeof(int));
for ( i = 0; i < col; i++ ) rhead[i] = 0;
/* construction of index arrays */
rvect = (NM_ind_pair *)ALLOCA(nred*sizeof(NM_ind_pair));
for ( rp = rp0, i = 0; rp; i++, rp = NEXT(rp) ) {
rvect[i] = (NM_ind_pair)BDY(rp);
imat[i] = nm_ind_pair_to_vect_compress(m,s0vect,col,rvect[i]);
rhead[imat[i]->head] = 1;
}
if ( m )
r0 = nd_f4_red_main(m,sp0,nsp,s0vect,col,rvect,rhead,imat,nred,nz);
else
r0 = nd_f4_red_q_main(sp0,nsp,trace,s0vect,col,rvect,rhead,imat,nred);
return r0;
}
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;
int **spmat;
UINT *svect,*v;
int *colstat;
struct oEGT eg0,eg1,eg2,eg_f4,eg_f4_1,eg_f4_2;
int maxrs;
int *spsugar;
ND_pairs *spactive;
spcol = col-nred;
get_eg(&eg0);
/* elimination (1st step) */
spmat = (int **)ALLOCA(nsp*sizeof(UINT *));
svect = (UINT *)ALLOCA(col*sizeof(UINT));
spsugar = (int *)ALLOCA(nsp*sizeof(UINT));
spactive = !nz?0:(ND_pairs *)ALLOCA(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=%fsec,",eg_f4_1.exectime+eg_f4_1.gctime);
fflush(asir_out);
}
/* free index arrays */
for ( i = 0; i < nred; i++ ) GC_free(imat[i]->index.c);
/* elimination (2nd step) */
colstat = (int *)ALLOCA(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];
GC_free(spmat[i]);
}
if ( r0 ) NEXT(r) = 0;
for ( ; i < sprow; i++ ) GC_free(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=%fsec\n",eg_f4_2.exectime+eg_f4_2.gctime);
fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ",
nsp,nred,sprow,spcol,rank);
fprintf(asir_out,"%fsec\n",eg_f4.exectime+eg_f4.gctime);
}
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;
}
#if 1
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;
Q **spmat;
Q *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 = (Q **)ALLOCA(nsp*sizeof(Q *));
svect = (Q *)ALLOCA(col*sizeof(Q));
spsugar = (int *)ALLOCA(nsp*sizeof(Q));
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 = (Q *)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=%fsec,",eg_f4_1.exectime+eg_f4_1.gctime);
fflush(asir_out);
}
/* free index arrays */
/* for ( i = 0; i < nred; i++ ) GC_free(imat[i]->index.c); */
/* elimination (2nd step) */
colstat = (int *)ALLOCA(spcol*sizeof(int));
rank = nd_gauss_elim_q(spmat,spsugar,sprow,spcol,colstat);
w = (pointer *)ALLOCA(rank*sizeof(pointer));
for ( i = 0; i < rank; i++ ) {
w[rank-i-1] = (pointer)vect_to_ndv_q(spmat[i],spcol,col,rhead,s0vect);
SG((NDV)w[rank-i-1]) = spsugar[i];
/* GC_free(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++ ) GC_free(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=%fsec\n",eg_f4_2.exectime+eg_f4_2.gctime);
fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ",
nsp,nred,sprow,spcol,rank);
fprintf(asir_out,"%fsec\n",eg_f4.exectime+eg_f4.gctime);
}
return r0;
}
#else
void printm(Q **mat,int row,int col)
{
int i,j;
printf("[");
for ( i = 0; i < row; i++ ) {
for ( j = 0; j < col; j++ ) {
printexpr(CO,mat[i][j]); printf(" ");
}
printf("]\n");
}
}
NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,UINT *s0vect,int col,
NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred)
{
int row,a;
int i,j,rank;
NODE r0,r;
ND_pairs sp;
ND spol;
Q **mat;
int *colstat;
int *sugar;
row = nsp+nred;
/* make the matrix */
mat = (Q **)ALLOCA(row*sizeof(Q *));
sugar = (int *)ALLOCA(row*sizeof(int));
for ( row = a = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) {
nd_sp(0,0,sp,&spol);
if ( !spol ) continue;
mat[row] = (Q *)MALLOC(col*sizeof(Q));
nd_to_vect_q(s0vect,col,spol,mat[row]);
sugar[row] = SG(spol);
row++;
}
for ( i = 0; i < nred; i++, row++ ) {
mat[row] = nm_ind_pair_to_vect(0,s0vect,col,rvect[i]);
sugar[row] = rvect[i]->sugar;
}
/* elimination */
colstat = (int *)ALLOCA(col*sizeof(int));
rank = nd_gauss_elim_q(mat,sugar,row,col,colstat);
r0 = 0;
for ( i = 0; i < rank; i++ ) {
for ( j = 0; j < col; j++ ) if ( mat[i][j] ) break;
if ( j == col ) error("nd_f4_red_q_main : cannot happen");
if ( rhead[j] ) continue;
NEXTNODE(r0,r); BDY(r) =
(pointer)plain_vect_to_ndv_q(mat[i],col,s0vect);
SG((NDV)BDY(r)) = sugar[i];
}
if ( r0 ) NEXT(r) = 0;
printf("\n");
return r0;
}
#endif
FILE *nd_write,*nd_read;
void nd_send_int(int a) {
write_int(nd_write,&a);
}
void nd_send_intarray(int *p,int len) {
write_intarray(nd_write,p,len);
}
int nd_recv_int() {
int a;
read_int(nd_read,&a);
return a;
}
void nd_recv_intarray(int *p,int len) {
read_intarray(nd_read,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(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(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)GC_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(DL(m),nd_wpd);
}
MKNDV(nd_nvar,m0,len,r);
return r;
}
}
int ox_exec_f4_red(Q proc)
{
Obj obj;
STRING fname;
NODE arg;
int s;
extern int ox_need_conv,ox_file_io;
MKSTR(fname,"nd_exec_f4_red");
arg = mknode(2,proc,fname);
Pox_cmo_rpc(arg,&obj);
s = get_ox_server_id(QTOS(proc));
nd_write = iofp[s].out;
nd_read = iofp[s].in;
ox_need_conv = ox_file_io = 0;
return s;
}
NODE nd_f4_red_dist(int m,ND_pairs sp0,UINT *s0vect,int col,NODE rp0,ND_pairs *nz)
{
int nsp,nred;
int i,rank,s;
NODE rp,r0,r;
ND_pairs sp;
NM_ind_pair pair;
NMV nmv;
NM nm;
NDV nf;
Obj proc,dmy;
ox_launch_main(0,0,&proc);
s = ox_exec_f4_red((Q)proc);
nd_send_int(m);
nd_send_int(nd_nvar);
nd_send_int(nd_bpe);
nd_send_int(nd_wpd);
nd_send_int(nmv_adv);
saveobj(nd_write,dp_current_spec->obj); fflush(nd_write);
nd_send_int(nd_psn);
for ( i = 0; i < nd_psn; i++ ) nd_send_ndv(nd_ps[i]);
for ( sp = sp0, nsp = 0; sp; sp = NEXT(sp), nsp++ );
nd_send_int(nsp);
for ( i = 0, sp = sp0; i < nsp; i++, sp = NEXT(sp) ) {
nd_send_int(sp->i1); nd_send_int(sp->i2);
}
nd_send_int(col); nd_send_intarray(s0vect,col*nd_wpd);
nred = length(rp0); nd_send_int(nred);
for ( i = 0, rp = rp0; i < nred; i++, rp = NEXT(rp) ) {
pair = (NM_ind_pair)BDY(rp);
nd_send_int(pair->index);
nd_send_intarray(pair->mul->dl,nd_wpd);
}
fflush(nd_write);
rank = nd_recv_int();
fprintf(asir_out,"rank=%d\n",rank);
r0 = 0;
for ( i = 0; i < rank; i++ ) {
nf = nd_recv_ndv();
NEXTNODE(r0,r); BDY(r) = (pointer)nf;
}
Pox_shutdown(mknode(1,proc),&dmy);
return r0;
}
/* server side */
void nd_exec_f4_red_dist()
{
int m,i,nsp,col,s0size,nred,spcol,j,k;
NM_ind_pair *rp0;
NDV nf;
UINT *s0vect;
IndArray *imat;
int *rhead;
int **spmat;
UINT *svect,*v;
ND_pairs *sp0;
int *colstat;
int a,sprow,rank;
struct order_spec *ord;
Obj ordspec;
ND spol;
int maxrs;
int *spsugar;
nd_read = iofp[0].in;
nd_write = iofp[0].out;
m = nd_recv_int();
nd_nvar = nd_recv_int();
nd_bpe = nd_recv_int();
nd_wpd = nd_recv_int();
nmv_adv = nd_recv_int();
loadobj(nd_read,&ordspec);
create_order_spec(0,ordspec,&ord);
nd_init_ord(ord);
nd_setup_parameters(nd_nvar,0);
nd_psn = nd_recv_int();
nd_ps = (NDV *)MALLOC(nd_psn*sizeof(NDV));
nd_bound = (UINT **)MALLOC(nd_psn*sizeof(UINT *));
for ( i = 0; i < nd_psn; i++ ) {
nd_ps[i] = nd_recv_ndv();
nd_bound[i] = ndv_compute_bound(nd_ps[i]);
}
nsp = nd_recv_int();
sp0 = (ND_pairs *)MALLOC(nsp*sizeof(ND_pairs));
for ( i = 0; i < nsp; i++ ) {
NEWND_pairs(sp0[i]);
sp0[i]->i1 = nd_recv_int(); sp0[i]->i2 = nd_recv_int();
ndl_lcm(HDL(nd_ps[sp0[i]->i1]),HDL(nd_ps[sp0[i]->i2]),LCM(sp0[i]));
}
col = nd_recv_int();
s0size = col*nd_wpd;
s0vect = (UINT *)MALLOC(s0size*sizeof(UINT));
nd_recv_intarray(s0vect,s0size);
nred = nd_recv_int();
rp0 = (NM_ind_pair *)MALLOC(nred*sizeof(NM_ind_pair));
for ( i = 0; i < nred; i++ ) {
rp0[i] = (NM_ind_pair)MALLOC(sizeof(struct oNM_ind_pair));
rp0[i]->index = nd_recv_int();
rp0[i]->mul = (NM)MALLOC(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT));
nd_recv_intarray(rp0[i]->mul->dl,nd_wpd);
}
spcol = col-nred;
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 */
for ( i = 0; i < nred; i++ ) {
imat[i] = nm_ind_pair_to_vect_compress(m,s0vect,col,rp0[i]);
rhead[imat[i]->head] = 1;
}
/* elimination (1st step) */
spmat = (int **)MALLOC(nsp*sizeof(UINT *));
svect = (UINT *)MALLOC(col*sizeof(UINT));
spsugar = (int *)ALLOCA(nsp*sizeof(UINT));
for ( a = sprow = 0; a < nsp; a++ ) {
nd_sp(m,0,sp0[a],&spol);
if ( !spol ) continue;
nd_to_vect(m,s0vect,col,spol,svect);
if ( m == -1 )
maxrs = ndv_reduce_vect_sf(m,svect,col,imat,rp0,nred);
else
maxrs = ndv_reduce_vect(m,svect,col,imat,rp0,nred);
for ( i = 0; i < col; i++ ) if ( svect[i] ) break;
if ( i < col ) {
spmat[sprow] = v = (UINT *)MALLOC(spcol*sizeof(UINT));
for ( j = k = 0; j < col; j++ )
if ( !rhead[j] ) v[k++] = svect[j];
spsugar[sprow] = MAX(maxrs,SG(spol));
sprow++;
}
nd_free(spol);
}
/* elimination (2nd step) */
colstat = (int *)ALLOCA(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,0,sprow,spcol,m,colstat);
nd_send_int(rank);
for ( i = 0; i < rank; i++ ) {
nf = vect_to_ndv(spmat[i],spcol,col,rhead,s0vect);
nd_send_ndv(nf);
}
fflush(nd_write);
}
int nd_gauss_elim_q(Q **mat0,int *sugar,int row,int col,int *colstat)
{
int mod,i,j,t,c,rank,rank0,inv;
int *ci,*ri;
Q dn;
MAT m,nm;
int **wmat;
/* XXX */
mod = 99999989;
wmat = (int **)ALLOCA(row*sizeof(int *));
for ( i = 0; i < row; i++ ) {
wmat[i] = (int *)ALLOCA(col*sizeof(int));
for ( j = 0; j < col; j++ ) {
if ( mat0[i][j] ) {
t = rem(NM(mat0[i][j]),mod);
if ( SGN(mat0[i][j]) < 0 ) t = mod-t;
wmat[i][j] = t;
} else
wmat[i][j] = 0;
}
}
rank0 = nd_gauss_elim_mod(wmat,sugar,0,row,col,mod,colstat);
NEWMAT(m); m->row = row; m->col = col; m->body = (pointer **)mat0;
rank = generic_gauss_elim(m,&nm,&dn,&ri,&ci);
if ( rank != rank0 )
error("afo");
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]] = (Q)BDY(nm)[i][j];
}
inv = invm(rem(NM(dn),mod),mod);
if ( SGN(dn) < 0 ) inv = mod-inv;
for ( i = 0; i < row; i++ )
for ( j = 0; j < col; j++ ) {
if ( mat0[i][j] ) {
t = rem(NM(mat0[i][j]),mod);
if ( SGN(mat0[i][j]) < 0 ) t = mod-t;
} else
t = 0;
c = dmar(t,inv,0,mod);
if ( wmat[i][j] != c )
error("afo");
}
return rank;
}
int nd_gauss_elim_mod(int **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] ) {
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] ) {
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(int **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] ) {
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] ) {
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,&id); write_int(s,&nv); write_int(s,&sugar);
write_int(s,&len);
for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
saveobj(s,(Obj)CQ(m));
dl = DL(m);
td = TD(dl);
write_int(s,&td);
for ( j = 0; j < nv; j++ ) {
e = GET_EXP(dl,j);
write_int(s,&e);
}
if ( nd_module ) {
mpos = MPOS(dl); write_int(s,&mpos);
}
}
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,&id);
if ( !id ) return 0;
read_int(s,&nv);
read_int(s,&sugar);
read_int(s,&len);
m0 = m = MALLOC(len*nmv_adv);
for ( i = 0; i < len; i++, NMV_ADV(m) ) {
loadobj(s,&obj); CQ(m) = (Q)obj;
dl = DL(m);
ndl_zero(dl);
read_int(s,&td); TD(dl) = td;
for ( j = 0; j < nv; j++ ) {
read_int(s,&e);
PUT_EXP(dl,j,e);
}
if ( nd_module ) {
read_int(s,&mpos); MPOS(dl) = mpos;
}
if ( nd_blockmask ) ndl_weight_mask(dl);
}
fclose(s);
MKNDV(nv,m0,len,d);
SG(d) = sugar;
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;
Q mone;
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;
Q dq,dt,ds;
N 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 = ONEN;
for ( j = 0; j < n; j++ ) {
if ( !m[i][j] ) continue;
lgp(m[i][j],&nm,&dn);
gcdn(dn0,dn,&gn); divsn(dn0,gn,&qn); muln(qn,dn,&dn0);
}
if ( !UNIN(dn0) ) {
NTOQ(dn0,1,ds);
for ( j = 0; j < n; j++ )
mulp(CO,(P)m[i][j],(P)ds,&w[i][j]);
mulq(dq,ds,&dt); dq = dt;
} else
for ( j = 0; j < n; j++ )
w[i][j] = (P)m[i][j];
}
m = (pointer **)w;
}
for ( i = 0, max = 0; i < n; i++ )
for ( j = 0; j < n; j++ )
for ( tv = fv; tv; tv = NEXT(tv) ) {
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 = 0; 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);
chsgnq(ONE,&mone);
for ( j = 0, sgn = 1; j < n; j++ ) {
if ( DP_Print ) fprintf(stderr,".",j);
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(stderr," i=%d\n ",i); */
mi = dm[i]; mij = mi[j];
if ( mod )
ndv_mul_c(mod,mij,mod-1);
else
ndv_mul_c_q(mij,mone);
for ( k = j+1; k < n; k++ ) {
/* if ( DP_Print ) fprintf(stderr,"k=%d ",k); */
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(stderr,"\n",k); */
}
d = mjj;
}
if ( DP_Print ) fprintf(stderr,"\n",k);
if ( sgn < 0 )
if ( mod )
ndv_mul_c(mod,d,mod-1);
else
ndv_mul_c_q(d,mone);
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;
Q 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 = CQ(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);
mulq(CQ(m),q,&CQ(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;
Q l,mul;
N 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 = (P)CQ(m);
mp->dl = nd_separate_d(DL(m),DL(ma));
NEWNM(mb);
for ( m = NEXT(m); m; m = NEXT(m) ) {
alg = nd_separate_d(DL(m),DL(mb));
if ( !ndl_equal(DL(ma),DL(mb)) )
break;
NEXTMP(mp0,mp); mp->c = (P)CQ(m); mp->dl = alg;
}
NEXT(mp) = 0;
MKDP(nd_nalg,mp0,nm);
MKDAlg(nm,ONE,cd);
if ( is_lc == 1 ) {
/* if the lc is a rational number, we have nothing to do */
if ( !mp0->dl->td )
return 1;
get_eg(&eg0);
invdalg(cd,&inv);
get_eg(&eg1); add_eg(&eg_invdalg,&eg0,&eg1);
/* check the validity of inv */
if ( mod && !rem(NM(inv->dn),mod) )
return 0;
CA(ma) = nf->one;
is_lc = 0;
ln = ONEN;
} else {
muldalg(cd,inv,&CA(ma));
lcmn(ln,NM(CA(ma)->dn),&ln);
}
if ( m ) {
NEXT(ma) = mb; ma = mb;
} else {
NEXT(ma) = 0;
break;
}
}
/* l = lcm(denoms) */
NTOQ(ln,1,l);
for ( mr0 = 0, m = ma0; m; m = NEXT(m) ) {
divq(l,CA(m)->dn,&mul);
for ( mp = BDY(CA(m)->nm); mp; mp = NEXT(mp) ) {
NEXTNM(mr0,mr);
mulq((Q)mp->c,mul,&CQ(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 ) {
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
divq(a.z,b.z,&c.z);
return ndctop(mod,c);
}
P ndctop(int mod,union oNDC c)
{
Q q;
int e;
GFS gfs;
if ( mod == -1 ) {
e = IFTOF(c.m); MKGFS(e,gfs); return (P)gfs;
} else if ( mod ) {
STOQ(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;
Q iq;
if ( !UNIQ(cont) ) {
node = mknode(4,0,0,0,cont);
MKLIST(l,node); MKNODE(node,l,nd_tracelist);
nd_tracelist = node;
}
STOQ(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;
}
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