OpenXM_contrib2/asir2000/engine/nd.c - diff

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Diff for /OpenXM_contrib2/asir2000/engine/nd.c between version 1.40 and 1.52

version 1.40, 2003/08/21 04:44:36

version 1.52, 2003/08/27 02:21:16

Line 1

/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.39 2003/08/21 03:13:01 noro Exp $ */

/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.51 2003/08/27 01:53:29 noro Exp $ */

#include "ca.h"

#include "inline.h"

Line 73 typedef struct oND_pairs {

unsigned int lcm[1];

} *ND_pairs;

int (*nd_compare_function)(unsigned int *a1,unsigned int *a2);

/* index and shift count for each exponent */

typedef struct oEPOS {

int i; /* index */

int s; /* shift */

} *EPOS;

double nd_scale=2;

typedef struct oBlockMask {

int n;

struct order_pair *order_pair;

unsigned int **mask;

} *BlockMask;

typedef struct oBaseSet {

int len;

NDV *ps;

unsigned int **bound;

} *BaseSet;

int (*ndl_compare_function)(unsigned int *a1,unsigned int *a2);

static double nd_scale=2;

static unsigned int **nd_bound;

int nd_nvar;

static struct order_spec *nd_ord;

int nd_isrlex;

static EPOS nd_epos;

int nd_epw,nd_bpe,nd_wpd;

static BlockMask nd_blockmask;

unsigned int nd_mask[32];

static int nd_nvar;

unsigned int nd_mask0,nd_mask1;

static int nd_isrlex;

static int nd_epw,nd_bpe,nd_wpd,nd_exporigin;

static unsigned int nd_mask[32];

static unsigned int nd_mask0,nd_mask1;

NM _nm_free_list;

static NM _nm_free_list;

ND _nd_free_list;

static ND _nd_free_list;

ND_pairs _ndp_free_list;

static ND_pairs _ndp_free_list;

static NDV *nd_ps;

static NDV *nd_psq;

RHist *nd_psh;

static RHist *nd_psh;

int nd_psn,nd_pslen;

static int nd_psn,nd_pslen;

RHist *nd_red;

static RHist *nd_red;

int nd_found,nd_create,nd_notfirst;

static int nd_found,nd_create,nd_notfirst;

int nm_adv;

static int nm_adv;

int nmv_adv;

static int nmv_adv;

int nd_dcomp;

static int nd_dcomp;

extern int Top,Reverse,dp_nelim;

Line 113 extern int Top,Reverse,dp_nelim;

Line 134 extern int Top,Reverse,dp_nelim;

#define SG(a) ((a)->sugar)

#define LEN(a) ((a)->len)

#define LCM(a) ((a)->lcm)

#define GET_EXP(d,a) (((d)[nd_epos[a].i]>>nd_epos[a].s)&nd_mask0)

#define PUT_EXP(r,a,e) ((r)[nd_epos[a].i] |= ((e)<<nd_epos[a].s))

#define XOR_EXP(r,a,e) ((r)[nd_epos[a].i] ^= ((e)<<nd_epos[a].s))

/* macros for term comparison */

#define TD_DL_COMPARE(d1,d2)\

(TD(d1)>TD(d2)?1:(TD(d1)<TD(d2)?-1:ndl_lex_compare(d1+1,d2+1)))

(TD(d1)>TD(d2)?1:(TD(d1)<TD(d2)?-1:ndl_lex_compare(d1,d2)))

#if 0

#define DL_COMPARE(d1,d2)\

(nd_dcomp?TD_DL_COMPARE(d1,d2):(*nd_compare_function)(d1,d2))

(nd_dcomp>0?TD_DL_COMPARE(d1,d2)\

:(nd_dcomp==0?ndl_lex_compare(d1,d2)\

:(nd_blockmask?ndl_block_compare(d1,d2)\

:(*ndl_compare_function)(d1,d2))))

#else

#define DL_COMPARE(d1,d2)\

(nd_dcomp>0?TD_DL_COMPARE(d1,d2):(*ndl_compare_function)(d1,d2))

#endif

/* allocators */

#define NEWRHist(r) \

((r)=(RHist)MALLOC(sizeof(struct oRHist)+nd_wpd*sizeof(unsigned int)))

((r)=(RHist)MALLOC(sizeof(struct oRHist)+(nd_wpd-1)*sizeof(unsigned int)))

#define NEWND_pairs(m) \

if(!_ndp_free_list)_NDP_alloc();\

(m)=_ndp_free_list; _ndp_free_list = NEXT(_ndp_free_list)

Line 186 int crit_2( int dp1, int dp2 );

Line 218 int crit_2( int dp1, int dp2 );

/* top level functions */

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

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

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

NODE nd_gb(int m,int checkonly);

NODE nd_gb_trace(int m);

/* ndl functions */

int ndl_weight(unsigned int *d);

int ndl_weight_mask(unsigned int *d,int i);

void ndl_dehomogenize(unsigned int *p);

void ndl_reconstruct(int obpe,unsigned int *d,unsigned int *r);

void ndl_reconstruct(int obpe,EPOS oepos,unsigned int *d,unsigned int *r);

INLINE int nd_length(ND p);

INLINE int ndl_reducible(unsigned int *d1,unsigned int *d2);

INLINE int ndl_lex_compare(unsigned int *d1,unsigned int *d2);

INLINE int ndl_block_compare(unsigned int *d1,unsigned int *d2);

INLINE int ndl_equal(unsigned int *d1,unsigned int *d2);

INLINE void ndl_copy(unsigned int *d1,unsigned int *d2);

INLINE void ndl_add(unsigned int *d1,unsigned int *d2,unsigned int *d);

INLINE void ndl_sub(unsigned int *d1,unsigned int *d2,unsigned int *d);

INLINE int ndl_hash_value(unsigned int *d);

INLINE int nd_find_reducer(ND g);

INLINE int nd_find_reducer_direct(ND g,NDV *ps,int len);

/* normal forms */

INLINE int nd_find_reducer(ND g);

INLINE int nd_find_reducer_direct(ND g,NDV *ps,int len);

int nd_sp(int mod,ND_pairs p,ND *nf);

int nd_find_reducer(ND g);

int nd_find_reducer_direct(ND g,NDV *ps,int len);

int nd_nf(int mod,ND g,int full,ND *nf);

int nd_nf_pbucket(int mod,ND g,int full,ND *nf);

int nd_nf_direct(int mod,ND g,NDV *ps,int len,int full,ND *rp);

int nd_nf_direct(int mod,ND g,BaseSet base,int full,ND *rp);

int nd_nf_direct_pbucket(int mod,ND g,NDV *ps,int len,int full,ND *rp);

/* finalizers */

NODE nd_reducebase(NODE x);

Line 225 void nd_free_private_storage();

Line 255 void nd_free_private_storage();

void _NM_alloc();

void _ND_alloc();

void nd_free(ND p);

void nd_realloc(ND p,int obpe);

void nd_free_redlist();

/* printing */

Line 241 ND_pairs nd_reconstruct(int mod,int trace,ND_pairs ndp

Line 270 ND_pairs nd_reconstruct(int mod,int trace,ND_pairs ndp

void nd_reconstruct_direct(int mod,NDV *ps,int len);

void nd_setup(int mod,int trace,NODE f);

void nd_setup_parameters();

BlockMask nd_create_blockmask(struct order_spec *ord);

int nd_get_exporigin(struct order_spec *ord);

/* ND functions */

int nd_check_candidate(NODE input,NODE cand);

Line 249 void nd_mul_c_q(ND p,Q mul);

Line 280 void nd_mul_c_q(ND p,Q mul);

ND nd_remove_head(ND p);

int nd_length(ND p);

void nd_append_red(unsigned int *d,int i);

unsigned int *nd_compute_bound(ND p);

unsigned int *ndv_compute_bound(NDV p);

unsigned int *dp_compute_bound(DP p);

ND nd_copy(ND p);

ND nd_add(int mod,ND p1,ND p2);

ND nd_add_q(ND p1,ND p2);

INLINE int nd_length(ND p);

/* NDV functions */

void ndv_mul_c(int mod,NDV p,int mul);

void ndv_mul_c_q(NDV p,Q mul);

void ndv_realloc(NDV p,int obpe,int oadv);

void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos);

ND ndv_mul_nm(int mod,NDV p,NM m0);

void ndv_dehomogenize(NDV p);

void ndv_dehomogenize(NDV p,struct order_spec *spec);

void ndv_removecont(int mod,NDV p);

void ndv_print(NDV p);

void ndv_print_q(NDV p);

Line 289 void _NM_alloc()

Line 321 void _NM_alloc()

int i;

for ( i = 0; i < 1024; i++ ) {

p = (NM)GC_malloc(sizeof(struct oNM)+nd_wpd*sizeof(unsigned int));

p = (NM)GC_malloc(sizeof(struct oNM)+(nd_wpd-1)*sizeof(unsigned int));

p->next = _nm_free_list; _nm_free_list = p;

}

Line 312 void _NDP_alloc()

Line 344 void _NDP_alloc()

for ( i = 0; i < 1024; i++ ) {

p = (ND_pairs)GC_malloc(sizeof(struct oND_pairs)

+nd_wpd*sizeof(unsigned int));

+(nd_wpd-1)*sizeof(unsigned int));

p->next = _ndp_free_list; _ndp_free_list = p;

}

Line 338 INLINE int ndl_reducible(unsigned int *d1,unsigned int

Line 370 INLINE int ndl_reducible(unsigned int *d1,unsigned int

if ( TD(d1) < TD(d2) ) return 0;

switch ( nd_bpe ) {

case 4:

for ( i = 1; i <= nd_wpd; i++ ) {

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;

Line 352 INLINE int ndl_reducible(unsigned int *d1,unsigned int

Line 384 INLINE int ndl_reducible(unsigned int *d1,unsigned int

return 1;

break;

case 6:

for ( i = 1; i <= nd_wpd; i++ ) {

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;

Line 363 INLINE int ndl_reducible(unsigned int *d1,unsigned int

Line 395 INLINE int ndl_reducible(unsigned int *d1,unsigned int

return 1;

break;

case 8:

for ( i = 1; i <= nd_wpd; i++ ) {

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;

Line 373 INLINE int ndl_reducible(unsigned int *d1,unsigned int

Line 405 INLINE int ndl_reducible(unsigned int *d1,unsigned int

return 1;

break;

case 16:

for ( i = 1; i <= nd_wpd; i++ ) {

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;

Line 381 INLINE int ndl_reducible(unsigned int *d1,unsigned int

Line 413 INLINE int ndl_reducible(unsigned int *d1,unsigned int

return 1;

break;

case 32:

for ( i = 1; i <= nd_wpd; i++ )

for ( i = nd_exporigin; i < nd_wpd; i++ )

if ( d1[i] < d2[i] ) return 0;

return 1;

break;

default:

for ( i = 1; i <= nd_wpd; i++ ) {

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;

Line 401 void ndl_dehomogenize(unsigned int *d)

Line 433 void ndl_dehomogenize(unsigned int *d)

unsigned int h;

int i,bits;

if ( nd_isrlex ) {

if ( nd_blockmask ) {

if ( nd_bpe == 32 ) {

h = GET_EXP(d,nd_nvar-1);

h = d[1];

XOR_EXP(d,nd_nvar-1,h);

for ( i = 2; i <= nd_wpd; i++ )

TD(d) -= h;

d[i-1] = d[i];

d[nd_exporigin-1] -= h;

d[i-1] = 0;

} else {

TD(d) -= h;

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 {

bits = nd_epw*nd_bpe;

h = GET_EXP(d,nd_nvar-1);

mask = bits==32?0xffffffff:((1<<(nd_epw*nd_bpe))-1);

XOR_EXP(d,nd_nvar-1,h);

h = (d[1]>>((nd_epw-1)*nd_bpe))&nd_mask0;

for ( i = 1; 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

}

TD(d) -= ((d[(nd_nvar-1)/nd_epw+1]>>

((nd_epw-((nd_nvar-1)%nd_epw)-1)*nd_bpe))&((1<<nd_bpe)-1));

}

void ndl_lcm(unsigned int *d1,unsigned *d2,unsigned int *d)

{

unsigned int t1,t2,u,u1,u2;

int i,j;

int i,j,l;

switch ( nd_bpe ) {

case 4:

for ( i = 1; i <= nd_wpd; i++ ) {

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;

Line 443 void ndl_lcm(unsigned int *d1,unsigned *d2,unsigned in

Line 484 void ndl_lcm(unsigned int *d1,unsigned *d2,unsigned in

}

break;

case 6:

for ( i = 1; i <= nd_wpd; i++ ) {

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;

Line 454 void ndl_lcm(unsigned int *d1,unsigned *d2,unsigned in

Line 495 void ndl_lcm(unsigned int *d1,unsigned *d2,unsigned in

}

break;

case 8:

for ( i = 1; i <= nd_wpd; i++ ) {

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;

Line 464 void ndl_lcm(unsigned int *d1,unsigned *d2,unsigned in

Line 505 void ndl_lcm(unsigned int *d1,unsigned *d2,unsigned in

}

break;

case 16:

for ( i = 1; i <= nd_wpd; i++ ) {

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;

Line 472 void ndl_lcm(unsigned int *d1,unsigned *d2,unsigned in

Line 513 void ndl_lcm(unsigned int *d1,unsigned *d2,unsigned in

}

break;

case 32:

for ( i = 1; i <= nd_wpd; i++ ) {

for ( i = nd_exporigin; i < nd_wpd; i++ ) {

u1 = d1[i]; u2 = d2[i];

d[i] = u1>u2?u1:u2;

}

break;

default:

for ( i = 1; i <= nd_wpd; i++ ) {

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;

Line 488 void ndl_lcm(unsigned int *d1,unsigned *d2,unsigned in

Line 529 void ndl_lcm(unsigned int *d1,unsigned *d2,unsigned in

break;

}

TD(d) = ndl_weight(d);

if ( nd_blockmask ) {

l = nd_blockmask->n;

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

d[j+1] = ndl_weight_mask(d,j);

}

int ndl_weight(unsigned int *d)

Line 495 int ndl_weight(unsigned int *d)

Line 541 int ndl_weight(unsigned int *d)

unsigned int t,u;

int i,j;

for ( t = 0, i = 1; i <= nd_wpd; i++ ) {

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);

Line 503 int ndl_weight(unsigned int *d)

Line 549 int ndl_weight(unsigned int *d)

return t;

}

INLINE int ndl_lex_compare(unsigned int *d1,unsigned int *d2)

int ndl_weight_mask(unsigned int *d,int index)

{

unsigned int t,u;

unsigned int *mask;

int i,j;

mask = nd_blockmask->mask[index];

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);

}

return t;

}

int ndl_lex_compare(unsigned int *d1,unsigned int *d2)

{

int i;

for ( i = 0; i < nd_wpd; i++, d1++, d2++ )

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 )

Line 515 INLINE int ndl_lex_compare(unsigned int *d1,unsigned i

Line 578 INLINE int ndl_lex_compare(unsigned int *d1,unsigned i

return 0;

}

int ndl_block_compare(unsigned int *d1,unsigned int *d2)

{

int i,l,j,ord_o,ord_l;

struct order_pair *op;

unsigned int t1,t2,m;

unsigned int *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;

}

INLINE int ndl_equal(unsigned int *d1,unsigned int *d2)

{

int i;

if ( *d1++ != *d2++ ) return 0;

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

for ( i = 1; i <= nd_wpd; i++ )

if ( *d1++ != *d2++ )

return 0;

return 1;

Line 531 INLINE void ndl_copy(unsigned int *d1,unsigned int *d2

Line 621 INLINE void ndl_copy(unsigned int *d1,unsigned int *d2

int i;

switch ( nd_wpd ) {

case 1:

case 2:

TD(d2) = TD(d1);

d2[1] = d1[1];

break;

case 2:

case 3:

TD(d2) = TD(d1);

d2[1] = d1[1];

d2[2] = d1[2];

break;

default:

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

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

d2[i] = d1[i];

break;

}

Line 551 INLINE void ndl_add(unsigned int *d1,unsigned int *d2,

Line 641 INLINE void ndl_add(unsigned int *d1,unsigned int *d2,

{

int i;

TD(d) = TD(d1)+TD(d2);

#if 1

switch ( nd_wpd ) {

case 1:

case 2:

TD(d) = TD(d1)+TD(d2);

d[1] = d1[1]+d2[1];

break;

case 2:

case 3:

TD(d) = TD(d1)+TD(d2);

d[1] = d1[1]+d2[1];

d[2] = d1[2]+d2[2];

break;

default:

for ( i = 1; i <= nd_wpd; i++ )

for ( i = 0; i < nd_wpd; i++ ) d[i] = d1[i]+d2[i];

d[i] = d1[i]+d2[i];

break;

}

#else

for ( i = 0; i < nd_wpd; i++ ) d[i] = d1[i]+d2[i];

#endif

}

INLINE void ndl_sub(unsigned int *d1,unsigned int *d2,unsigned int *d)

{

int i;

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

for ( i = 0; i < nd_wpd; i++ ) d[i] = d1[i]-d2[i];

d[i] = d1[i]-d2[i];

}

int ndl_disjoint(unsigned int *d1,unsigned int *d2)

Line 582 int ndl_disjoint(unsigned int *d1,unsigned int *d2)

Line 675 int ndl_disjoint(unsigned int *d1,unsigned int *d2)

switch ( nd_bpe ) {

case 4:

for ( i = 1; i <= nd_wpd; i++ ) {

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;

Line 596 int ndl_disjoint(unsigned int *d1,unsigned int *d2)

Line 689 int ndl_disjoint(unsigned int *d1,unsigned int *d2)

return 1;

break;

case 6:

for ( i = 1; i <= nd_wpd; i++ ) {

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;

Line 607 int ndl_disjoint(unsigned int *d1,unsigned int *d2)

Line 700 int ndl_disjoint(unsigned int *d1,unsigned int *d2)

return 1;

break;

case 8:

for ( i = 1; i <= nd_wpd; i++ ) {

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;

Line 617 int ndl_disjoint(unsigned int *d1,unsigned int *d2)

Line 710 int ndl_disjoint(unsigned int *d1,unsigned int *d2)

return 1;

break;

case 16:

for ( i = 1; i <= nd_wpd; i++ ) {

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;

Line 625 int ndl_disjoint(unsigned int *d1,unsigned int *d2)

Line 718 int ndl_disjoint(unsigned int *d1,unsigned int *d2)

return 1;

break;

case 32:

for ( i = 1; i <= nd_wpd; i++ )

for ( i = nd_exporigin; i < nd_wpd; i++ )

if ( d1[i] && d2[i] ) return 0;

return 1;

break;

default:

for ( i = 1; i <= nd_wpd; i++ ) {

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;

Line 652 int ndl_check_bound2(int index,unsigned int *d2)

Line 745 int ndl_check_bound2(int index,unsigned int *d2)

ind = 0;

switch ( nd_bpe ) {

case 4:

for ( i = 1; i <= nd_wpd; i++ ) {

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;

Line 666 int ndl_check_bound2(int index,unsigned int *d2)

Line 759 int ndl_check_bound2(int index,unsigned int *d2)

return 0;

break;

case 6:

for ( i = 1; i <= nd_wpd; i++ ) {

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;

Line 677 int ndl_check_bound2(int index,unsigned int *d2)

Line 770 int ndl_check_bound2(int index,unsigned int *d2)

return 0;

break;

case 8:

for ( i = 1; i <= nd_wpd; i++ ) {

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;

Line 687 int ndl_check_bound2(int index,unsigned int *d2)

Line 780 int ndl_check_bound2(int index,unsigned int *d2)

return 0;

break;

case 16:

for ( i = 1; i <= nd_wpd; i++ ) {

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;

Line 695 int ndl_check_bound2(int index,unsigned int *d2)

Line 788 int ndl_check_bound2(int index,unsigned int *d2)

return 0;

break;

case 32:

for ( i = 1; i <= nd_wpd; i++ )

for ( i = nd_exporigin; i < nd_wpd; i++ )

if ( d1[i]+d2[i]<d1[i] ) return 1;

return 0;

break;

default:

for ( i = 1; i <= nd_wpd; i++ ) {

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 )

Line 713 int ndl_check_bound2(int index,unsigned int *d2)

Line 806 int ndl_check_bound2(int index,unsigned int *d2)

int ndl_check_bound2_direct(unsigned int *d1,unsigned int *d2)

{

unsigned int u1,u2;

unsigned int u2;

int i,j,k;

int i,j,ind,k;

ind = 0;

switch ( nd_bpe ) {

case 4:

for ( i = 1; i <= nd_wpd; i++ ) {

for ( i = nd_exporigin; i < nd_wpd; i++ ) {

u1 = d1[i]; u2 = d2[i];

u2 = d2[i];

if ( ((u1>>28)&0xf)+((u2>>28)&0xf) >= 0x10 ) return 1;

if ( d1[ind++]+((u2>>28)&0xf) >= 0x10 ) return 1;

if ( ((u1>>24)&0xf)+((u2>>24)&0xf) >= 0x10 ) return 1;

if ( d1[ind++]+((u2>>24)&0xf) >= 0x10 ) return 1;

if ( ((u1>>20)&0xf)+((u2>>20)&0xf) >= 0x10 ) return 1;

if ( d1[ind++]+((u2>>20)&0xf) >= 0x10 ) return 1;

if ( ((u1>>16)&0xf)+((u2>>16)&0xf) >= 0x10 ) return 1;

if ( d1[ind++]+((u2>>16)&0xf) >= 0x10 ) return 1;

if ( ((u1>>12)&0xf)+((u2>>12)&0xf) >= 0x10 ) return 1;

if ( d1[ind++]+((u2>>12)&0xf) >= 0x10 ) return 1;

if ( ((u1>>8)&0xf)+((u2>>8)&0xf) >= 0x10 ) return 1;

if ( d1[ind++]+((u2>>8)&0xf) >= 0x10 ) return 1;

if ( ((u1>>4)&0xf)+((u2>>4)&0xf) >= 0x10 ) return 1;

if ( d1[ind++]+((u2>>4)&0xf) >= 0x10 ) return 1;

if ( (u1&0xf)+(u2&0xf) >= 0x10 ) return 1;

if ( d1[ind++]+(u2&0xf) >= 0x10 ) return 1;

}

return 0;

break;

case 6:

for ( i = 1; i <= nd_wpd; i++ ) {

for ( i = nd_exporigin; i < nd_wpd; i++ ) {

u1 = d1[i]; u2 = d2[i];

u2 = d2[i];

if ( ((u1>>24)&0x3f)+((u2>>24)&0x3f) >= 0x40 ) return 1;

if ( d1[ind++]+((u2>>24)&0x3f) >= 0x40 ) return 1;

if ( ((u1>>18)&0x3f)+((u2>>18)&0x3f) >= 0x40 ) return 1;

if ( d1[ind++]+((u2>>18)&0x3f) >= 0x40 ) return 1;

if ( ((u1>>12)&0x3f)+((u2>>12)&0x3f) >= 0x40 ) return 1;

if ( d1[ind++]+((u2>>12)&0x3f) >= 0x40 ) return 1;

if ( ((u1>>6)&0x3f)+((u2>>6)&0x3f) >= 0x40 ) return 1;

if ( d1[ind++]+((u2>>6)&0x3f) >= 0x40 ) return 1;

if ( (u1&0x3f)+(u2&0x3f) >= 0x40 ) return 1;

if ( d1[ind++]+(u2&0x3f) >= 0x40 ) return 1;

}

return 0;

break;

case 8:

for ( i = 1; i <= nd_wpd; i++ ) {

for ( i = nd_exporigin; i < nd_wpd; i++ ) {

u1 = d1[i]; u2 = d2[i];

u2 = d2[i];

if ( ((u1>>24)&0xff)+((u2>>24)&0xff) >= 0x100 ) return 1;

if ( d1[ind++]+((u2>>24)&0xff) >= 0x100 ) return 1;

if ( ((u1>>16)&0xff)+((u2>>16)&0xff) >= 0x100 ) return 1;

if ( d1[ind++]+((u2>>16)&0xff) >= 0x100 ) return 1;

if ( ((u1>>8)&0xff)+((u2>>8)&0xff) >= 0x100 ) return 1;

if ( d1[ind++]+((u2>>8)&0xff) >= 0x100 ) return 1;

if ( (u1&0xff)+(u2&0xff) >= 0x100 ) return 1;

if ( d1[ind++]+(u2&0xff) >= 0x100 ) return 1;

}

return 0;

break;

case 16:

for ( i = 1; i <= nd_wpd; i++ ) {

for ( i = nd_exporigin; i < nd_wpd; i++ ) {

u1 = d1[i]; u2 = d2[i];

u2 = d2[i];

if ( ((u1>>16)&0xffff)+((u2>>16)&0xffff) > 0x10000 ) return 1;

if ( d1[ind++]+((u2>>16)&0xffff) > 0x10000 ) return 1;

if ( (u2&0xffff)+(u2&0xffff) > 0x10000 ) return 1;

if ( d1[ind++]+(u2&0xffff) > 0x10000 ) return 1;

}

return 0;

break;

case 32:

for ( i = 1; i <= nd_wpd; i++ )

for ( i = nd_exporigin; i < nd_wpd; i++ )

if ( d1[i]+d2[i]<d1[i] ) return 1;

return 0;

break;

default:

for ( i = 1; i <= nd_wpd; i++ ) {

for ( i = nd_exporigin; i < nd_wpd; i++ ) {

u1 = d1[i]; u2 = d2[i];

u2 = d2[i];

k = (nd_epw-1)*nd_bpe;

for ( j = 0; j < nd_epw; j++, k -= nd_bpe )

if ( ((u1>>k)&nd_mask0)+((u2>>k)&nd_mask0) > nd_mask0 )

if ( d1[ind++]+((u2>>k)&nd_mask0) > nd_mask0 ) return 1;

return 1;

}

return 0;

break;

Line 784 INLINE int ndl_hash_value(unsigned int *d)

Line 877 INLINE int ndl_hash_value(unsigned int *d)

int r;

r = 0;

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

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

r = ((r<<16)+d[i])%REDTAB_LEN;

return r;

}

Line 836 INLINE int nd_find_reducer_direct(ND g,NDV *ps,int len

Line 929 INLINE int nd_find_reducer_direct(ND g,NDV *ps,int len

if ( Reverse )

for ( i = len-1; i >= 0; i-- ) {

r = ps[i];

if ( ndl_reducible(HDL(g),HDL(r)) ) {

if ( ndl_reducible(HDL(g),HDL(r)) )

nd_append_red(HDL(g),i);

return i;

}

else

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

r = ps[i];

if ( ndl_reducible(HDL(g),HDL(r)) ) {

if ( ndl_reducible(HDL(g),HDL(r)) )

nd_append_red(HDL(g),i);

return i;

}

return -1;

}

Line 969 int nd_nf(int mod,ND g,int full,ND *rp)

Line 1058 int nd_nf(int mod,ND g,int full,ND *rp)

sugar0 = sugar = SG(g);

n = NV(g);

mul = (NM)ALLOCA(sizeof(struct oNM)+nd_wpd*sizeof(unsigned int));

mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(unsigned int));

for ( d = 0; g; ) {

index = nd_find_reducer(g);

if ( index >= 0 ) {

Line 1041 int nd_nf_pbucket(int mod,ND g,int full,ND *rp)

Line 1130 int nd_nf_pbucket(int mod,ND g,int full,ND *rp)

bucket = create_pbucket();

add_pbucket(mod,bucket,g);

d = 0;

mul = (NM)ALLOCA(sizeof(struct oNM)+nd_wpd*sizeof(unsigned int));

mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(unsigned int));

while ( 1 ) {

hindex = mod?head_pbucket(mod,bucket):head_pbucket_q(bucket);

if ( hindex < 0 ) {

Line 1113 int nd_nf_pbucket(int mod,ND g,int full,ND *rp)

Line 1202 int nd_nf_pbucket(int mod,ND g,int full,ND *rp)

}

int nd_nf_direct(int mod,ND g,NDV *ps,int len,int full,ND *rp)

int nd_nf_direct(int mod,ND g,BaseSet base,int full,ND *rp)

{

ND d;

NM m,mrd,tail;

NM mul;

int n,sugar,psugar,sugar0,stat,index;

NDV *ps;

int n,sugar,psugar,sugar0,stat,index,len;

int c,c1,c2;

unsigned int **bound;

RHist h;

NDV p,red;

Q cg,cred,gcd;

Line 1137 int nd_nf_direct(int mod,ND g,NDV *ps,int len,int full

Line 1228 int nd_nf_direct(int mod,ND g,NDV *ps,int len,int full

hmag = 0;

#endif

ps = base->ps;

bound = base->bound;

len = base->len;

sugar0 = sugar = SG(g);

n = NV(g);

mul = (NM)ALLOCA(sizeof(struct oNM)+nd_wpd*sizeof(unsigned int));

mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(unsigned int));

for ( d = 0; g; ) {

index = nd_find_reducer_direct(g,ps,len);

if ( index >= 0 ) {

p = ps[index];

ndl_sub(HDL(g),HDL(p),DL(mul));

if ( ndl_check_bound2_direct(HDL(p),DL(mul)) ) {

if ( ndl_check_bound2_direct(bound[index],DL(mul)) ) {

nd_free(g); nd_free(d);

return 0;

}

Line 1185 int nd_nf_direct(int mod,ND g,NDV *ps,int len,int full

Line 1279 int nd_nf_direct(int mod,ND g,NDV *ps,int len,int full

return 1;

}

int nd_nf_direct_pbucket(int mod,ND g,NDV *ps,int len,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;

if ( !g ) {

*rp = 0;

return 1;

}

sugar = SG(g);

n = NV(g);

#if 0

if ( !mod )

hmag = ((double)p_mag((P)HCQ(g)))*nd_scale;

#else

/* XXX */

hmag = 0;

#endif

bucket = create_pbucket();

add_pbucket(mod,bucket,g);

d = 0;

mul = (NM)ALLOCA(sizeof(struct oNM)+nd_wpd*sizeof(unsigned int));

while ( 1 ) {

hindex = mod?head_pbucket(mod,bucket):head_pbucket_q(bucket);

if ( hindex < 0 ) {

if ( d )

SG(d) = sugar;

*rp = d;

return 1;

}

g = bucket->body[hindex];

index = nd_find_reducer_direct(g,ps,len);

if ( index >= 0 ) {

p = ps[index];

ndl_sub(HDL(g),HDL(p),DL(mul));

if ( ndl_check_bound2_direct(HDL(p),DL(mul)) ) {

nd_free(d);

free_pbucket(bucket);

*rp = 0;

return 0;

}

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,cred);

mulq_pbucket(bucket,cred);

g = bucket->body[hindex];

gmag = (double)p_mag((P)HCQ(g));

}

red = ndv_mul_nm(mod,p,mul);

bucket->body[hindex] = nd_remove_head(g);

red = nd_remove_head(red);

add_pbucket(mod,bucket,red);

sugar = MAX(sugar,SG(p)+TD(DL(mul)));

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 DP, cand : list of DP */

int nd_check_candidate(NODE input,NODE cand)

{

int n,i,stat;

ND nf,d;

NODE t;

NODE t,s;

#if 0

for ( t = 0; cand; cand = NEXT(cand) ) {

MKNODE(s,BDY(cand),t); t = s;

}

cand = t;

#endif

nd_setup(0,0,cand);

n = length(cand);

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

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

again:

d = dptond(0,(DP)BDY(t));

stat = nd_nf_direct(0,d,nd_psq,n,0,&nf);

stat = nd_nf(0,d,0,&nf);

if ( !stat ) nd_reconstruct_direct(0,nd_psq,n);

if ( !stat ) {

else if ( nf ) return 0;

nd_reconstruct(0,0,0);

goto again;

} else if ( nf ) return 0;

printf("."); fflush(stdout);

}

printf("\n");

/* gbcheck : cand is a GB of Id(cand) ? */

if ( !nd_gb(0,1) ) return 0;

/* XXX */

Line 1494 again:

Line 1500 again:

d = nd_reconstruct(m,0,d);

goto again;

}

#if USE_GEOBUCKET

stat = m?nd_nf_pbucket(m,h,!Top,&nf):nd_nf(m,h,!Top,&nf);

#else

stat = nd_nf(m,h,!Top,&nf);

#endif

if ( !stat ) {

NEXT(l) = d; d = l;

d = nd_reconstruct(m,0,d);

Line 1545 again:

Line 1555 again:

d = nd_reconstruct(m,1,d);

goto again;

}

#if USE_GEOBUCKET

stat = nd_nf_pbucket(m,h,!Top,&nf);

#else

stat = nd_nf(m,h,!Top,&nf);

#endif

if ( !stat ) {

NEXT(l) = d; d = l;

d = nd_reconstruct(m,1,d);

Line 1590 NODE nd_reduceall(int m,NODE f)

Line 1604 NODE nd_reduceall(int m,NODE f)

NDV *w,*ps;

ND nf,g;

NODE t,a0,a;

struct oBaseSet base;

unsigned int **bound;

for ( n = 0, t = f; t; t = NEXT(t), n++ );

ps = (NDV *)ALLOCA(n*sizeof(NDV));

for ( i = 0, t = f; i < n; i++, t = NEXT(t) )

bound = (unsigned int **)ALLOCA(n*sizeof(unsigned int *));

for ( i = 0, t = f; i < n; i++, t = NEXT(t) ) {

ps[i] = (NDV)BDY(t);

bound[i] = ndv_compute_bound(ps[i]);

}

qsort(ps,n,sizeof(NDV),(int (*)(const void *,const void *))ndv_compare);

w = (NDV *)ALLOCA((n-1)*sizeof(NDV));

base.ps = (NDV *)ALLOCA((n-1)*sizeof(NDV));

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

base.bound = (unsigned int **)ALLOCA((n-1)*sizeof(unsigned int *));

for ( j = 0; j < i; j++ ) w[j] = (NDV)ps[j];

base.len = n-1;

for ( j = i+1; j < n; j++ ) w[j-1] = ps[j];

i = 0;

while ( i < n ) {

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

base.ps[j] = ps[j]; base.bound[j] = bound[j];

}

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

base.ps[j-1] = ps[j]; base.bound[j-1] = bound[j];

}

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

stat = nd_nf_direct(m,g,w,n-1,1,&nf);

stat = nd_nf_direct(m,g,&base,1,&nf);

if ( !stat )

nd_reconstruct_direct(m,ps,n);

else if ( !nf ) {

printf("."); fflush(stdout);

ndv_free(ps[i]);

for ( j = i+1; j < n; j++ ) ps[j-1] = ps[j];

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

ps[j-1] = ps[j]; bound[j-1] = bound[j];

}

n--;

base.len = n-1;

} else {

printf("."); fflush(stdout);

ndv_free(ps[i]);

nd_removecont(m,nf);

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

bound[i] = ndv_compute_bound(ps[i]);

nd_free(nf);

i++;

}

printf("\n");

for ( a0 = 0, i = 0; i < n; i++ ) {

NEXTNODE(a0,a);

BDY(a) = (pointer)ps[i];

Line 1686 ND_pairs crit_B( ND_pairs d, int s )

Line 1718 ND_pairs crit_B( ND_pairs d, int s )

t = DL(nd_psh[s]);

prev = 0;

head = cur = d;

lcm = (unsigned int *)ALLOCA((nd_wpd+1)*sizeof(unsigned int));

lcm = (unsigned int *)ALLOCA(nd_wpd*sizeof(unsigned int));

while ( cur ) {

tl = cur->lcm;

if ( ndl_reducible(tl,t)

Line 1877 int nd_newps(int mod,ND a,ND aq)

Line 1909 int nd_newps(int mod,ND a,ND aq)

}

if ( a && aq ) {

/* trace lifting */

if ( !rem(NM(HCQ(aq)),mod) ) return -1;

if ( !rem(NM(HCQ(aq)),mod) )

return -1;

}

NEWRHist(r); nd_psh[nd_psn] = r;

if ( aq ) {

nd_removecont(0,aq);

nd_psq[nd_psn] = ndtondv(0,aq);

nd_bound[nd_psn] = nd_compute_bound(aq);

nd_bound[nd_psn] = ndv_compute_bound(nd_psq[nd_psn]);

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

}

if ( a ) {

nd_removecont(mod,a);

nd_ps[nd_psn] = ndtondv(mod,a);

if ( !aq ) {

nd_bound[nd_psn] = nd_compute_bound(a);

nd_bound[nd_psn] = ndv_compute_bound(nd_ps[nd_psn]);

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

}

Line 1969 void nd_gr(LIST f,LIST v,int m,struct order_spec *ord,

Line 2002 void nd_gr(LIST f,LIST v,int m,struct order_spec *ord,

x = nd_gb(m,0);

fprintf(asir_out,"found=%d,notfirst=%d,create=%d\n",

nd_found,nd_notfirst,nd_create);

x = nd_reducebase(x);

x = nd_reduceall(m,x);

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

NEXTNODE(r0,r);

Line 1984 void nd_gr(LIST f,LIST v,int m,struct order_spec *ord,

Line 2018 void nd_gr(LIST f,LIST v,int m,struct order_spec *ord,

MKLIST(*rp,r0);

}

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

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

{

struct order_spec ord1;

VL fv,vv,vc;

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

int m,nocheck,nvar,mindex;

DP a,b,c,h;

P p;

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

nd_nvar = length(vv);

nvar = length(vv);

nocheck = 0;

mindex = 0;

/* setup modulus */

if ( trace < 0 ) {

trace = -trace;

nocheck = 1;

}

m = trace > 1 ? trace : get_lprime(mindex);

initd(ord);

if ( homo ) {

homogenize_order(ord,nd_nvar,&ord1);

Line 2006 void nd_gr_trace(LIST f,LIST v,int m,int homo,struct o

Line 2051 void nd_gr_trace(LIST f,LIST v,int m,int homo,struct o

}

if ( fd0 ) NEXT(fd) = 0;

if ( in0 ) NEXT(in) = 0;

nd_init_ord(&ord1);

initd(&ord1);

nd_nvar++;

} else {

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

ptod(CO,vv,(P)BDY(t),&c);

Line 2018 void nd_gr_trace(LIST f,LIST v,int m,int homo,struct o

Line 2060 void nd_gr_trace(LIST f,LIST v,int m,int homo,struct o

}

if ( fd0 ) NEXT(fd) = 0;

in0 = fd0;

nd_init_ord(ord);

}

do {

while ( 1 ) {

if ( homo ) {

nd_init_ord(&ord1);

initd(&ord1);

nd_nvar = nvar+1;

} else {

nd_init_ord(ord);

nd_nvar = nvar;

}

nd_setup(m,1,fd0);

cand = nd_gb_trace(m);

if ( !cand ) continue;

if ( !cand ) {

/* failure */

if ( trace > 1 ) {

*rp = 0; return;

} else

m = get_lprime(++mindex);

continue;

}

if ( homo ) {

/* dehomogenization */

for ( t = cand; t; t = NEXT(t) )

ndv_dehomogenize((NDV)BDY(t));

ndv_dehomogenize((NDV)BDY(t),ord);

nd_nvar--;

nd_nvar = nvar;

nd_setup_parameters();

initd(ord);

cand = nd_reducebase(cand);

nd_init_ord(ord);

nd_setup_parameters();

}

cand = nd_reducebase(cand);

fprintf(asir_out,"found=%d,notfirst=%d,create=%d\n",

nd_found,nd_notfirst,nd_create);

cand = nd_reduceall(0,cand);

Line 2043 void nd_gr_trace(LIST f,LIST v,int m,int homo,struct o

Line 2101 void nd_gr_trace(LIST f,LIST v,int m,int homo,struct o

}

if ( r0 ) NEXT(r) = 0;

cand = r0;

} while ( !nd_check_candidate(in0,cand) );

if ( nocheck || nd_check_candidate(in0,cand) )

/* success */

break;

else if ( trace > 1 ) {

/* failure */

*rp = 0; return;

} else

/* try the next modulus */

m = get_lprime(++mindex);

}

/* dp->p */

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

dtop(CO,vv,BDY(r),&p);

Line 2055 void nd_gr_trace(LIST f,LIST v,int m,int homo,struct o

Line 2122 void nd_gr_trace(LIST f,LIST v,int m,int homo,struct o

void dltondl(int n,DL dl,unsigned int *r)

{

unsigned int *d;

int i;

int i,j,l,s,ord_l,ord_o;

struct order_pair *op;

d = dl->d;

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

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

if ( nd_isrlex )

if ( nd_blockmask ) {

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

l = nd_blockmask->n;

r[(n-1-i)/nd_epw+1] |= (d[i]<<((nd_epw-((n-1-i)%nd_epw)-1)*nd_bpe));

op = nd_blockmask->order_pair;

else

for ( j = 0, s = 0; j < l; j++ ) {

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

ord_o = op[j].order;

r[i/nd_epw+1] |= d[i]<<((nd_epw-(i%nd_epw)-1)*nd_bpe);

ord_l = op[j].length;

TD(r) = ndl_weight(r);

if ( !ord_o )

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

PUT_EXP(r,s+ord_l-i-1,d[s+i]);

else

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

PUT_EXP(r,s+i,d[s+i]);

s += ord_l;

}

TD(r) = ndl_weight(r);

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

r[j+1] = ndl_weight_mask(r,j);

} else {

if ( nd_isrlex )

for ( i = 0; i < n; i++ ) PUT_EXP(r,n-1-i,d[i]);

else

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

TD(r) = ndl_weight(r);

}

DL ndltodl(int n,unsigned int *ndl)

{

DL dl;

int *d;

int i;

int i,j,l,s,ord_l,ord_o;

struct order_pair *op;

NEWDL(dl,n);

dl->td = TD(ndl);

d = dl->d;

if ( nd_isrlex )

if ( nd_blockmask ) {

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

l = nd_blockmask->n;

d[i] = (ndl[(n-1-i)/nd_epw+1]>>((nd_epw-((n-1-i)%nd_epw)-1)*nd_bpe))

op = nd_blockmask->order_pair;

&((1<<nd_bpe)-1);

for ( j = 0, s = 0; j < l; j++ ) {

else

ord_o = op[j].order;

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

ord_l = op[j].length;

d[i] = (ndl[i/nd_epw+1]>>((nd_epw-(i%nd_epw)-1)*nd_bpe))

if ( !ord_o )

&((1<<nd_bpe)-1);

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

d[s+i] = GET_EXP(ndl,s+ord_l-i-1);

else

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

d[s+i] = GET_EXP(ndl,s+i);

s += ord_l;

}

} else {

if ( nd_isrlex )

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

d[i] = GET_EXP(ndl,n-1-i);

else

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

d[i] = GET_EXP(ndl,i);

}

return dl;

}

Line 2137 DP ndtodp(int mod,ND p)

Line 2237 DP ndtodp(int mod,ND p)

void ndl_print(unsigned int *dl)

{

int n;

int i;

int i,j,l,ord_o,ord_l,s,s0;

struct order_pair *op;

n = nd_nvar;

printf("<<");

if ( nd_isrlex )

if ( nd_blockmask ) {

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

l = nd_blockmask->n;

printf(i==n-1?"%d":"%d,",

op = nd_blockmask->order_pair;

(dl[(n-1-i)/nd_epw+1]>>((nd_epw-((n-1-i)%nd_epw)-1)*nd_bpe))

for ( j = 0, s = s0 = 0; j < l; j++ ) {

&((1<<nd_bpe)-1));

ord_o = op[j].order;

else

ord_l = op[j].length;

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

if ( !ord_o )

printf(i==n-1?"%d":"%d,",

for ( i = 0, s0 += ord_l; i < ord_l; i++, s++ )

(dl[i/nd_epw+1]>>((nd_epw-(i%nd_epw)-1)*nd_bpe))

printf(s==n-1?"%d":"%d,",GET_EXP(dl,s0-i-1));

&((1<<nd_bpe)-1));

else

for ( i = 0; i < ord_l; i++, s++ )

printf(s==n-1?"%d":"%d,",GET_EXP(dl,s));

}

} else {

if ( nd_isrlex )

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

else

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

}

printf(">>");

}

Line 2263 void ndv_removecont(int mod,NDV p)

Line 2373 void ndv_removecont(int mod,NDV p)

}

void ndv_dehomogenize(NDV p)

void ndv_dehomogenize(NDV p,struct order_spec *ord)

{

int i,len,newnvar,newwpd,newadv;

int i,j,adj,len,newnvar,newwpd,newadv,newexporigin;

Q *w;

Q dvr,t;

NMV m,r;

unsigned int *d;

#define NEWADV(m) (m = (NMV)(((char *)m)+newadv))

len = p->len;

newnvar = nd_nvar-1;

newwpd = newnvar/nd_epw+(newnvar%nd_epw?1:0);

newexporigin = nd_get_exporigin(ord);

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 ) {

d = (unsigned int *)ALLOCA((newwpd+1)*sizeof(unsigned int));

newadv = sizeof(struct oNMV)+(newwpd-1)*sizeof(unsigned int);

newadv = sizeof(struct oNMV)+newwpd*sizeof(unsigned int);

for ( m = r = BDY(p), i = 0; i < len; NMV_ADV(m), NEWADV(r), i++ ) {

CQ(r) = CQ(m); ndl_copy(DL(m),d); ndl_copy(d,DL(r));

CQ(r) = CQ(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];

}

NV(p)--;

Line 2404 unsigned int *dp_compute_bound(DP p)

Line 2516 unsigned int *dp_compute_bound(DP p)

return t;

}

unsigned int *nd_compute_bound(ND p)

unsigned int *ndv_compute_bound(NDV p)

{

unsigned int *d1,*d2,*t;

int i,l;

int i,l,len;

NM m;

NMV m;

if ( !p )

return 0;

d1 = (unsigned int *)ALLOCA(nd_wpd*sizeof(unsigned int));

d2 = (unsigned int *)ALLOCA(nd_wpd*sizeof(unsigned int));

ndl_copy(HDL(p),d1);

len = LEN(p);

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

m = BDY(p); ndl_copy(DL(m),d1); NMV_ADV(m);

for ( i = 1; i < len; i++, NMV_ADV(m) ) {

ndl_lcm(DL(m),d1,d2);

t = d1; d1 = d2; d2 = t;

}

l = nd_nvar+31;

t = (unsigned int *)MALLOC_ATOMIC(l*sizeof(unsigned int));

for ( i = 0; i < l; i++ ) t[i] = 0;

for ( i = 0; i < nd_nvar; i++ ) t[i] = GET_EXP(d1,i);

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

t[i] = (d1[i/nd_epw+1]>>((nd_epw-(i%nd_epw)-1)*nd_bpe))&nd_mask0;

for ( ; i < l; i++ ) t[i] = 0;

return t;

}

int nd_get_exporigin(struct order_spec *ord)

{

switch ( ord->id ) {

case 0:

return 1;

case 1:

/* block order */

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

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

case 2:

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

}

void nd_setup_parameters() {

int i;

int i,n,elen;

nd_epw = (sizeof(unsigned int)*8)/nd_bpe;

nd_wpd = nd_nvar/nd_epw+(nd_nvar%nd_epw?1:0);

elen = nd_nvar/nd_epw+(nd_nvar%nd_epw?1:0);

nd_exporigin = nd_get_exporigin(nd_ord);

nd_wpd = nd_exporigin+elen;

nd_epos = (EPOS)MALLOC_ATOMIC(nd_nvar*sizeof(struct oEPOS));

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

nd_epos[i].i = nd_exporigin + i/nd_epw;

nd_epos[i].s = (nd_epw-(i%nd_epw)-1)*nd_bpe;

}

if ( nd_bpe < 32 ) {

nd_mask0 = (1<<nd_bpe)-1;

} else {

Line 2444 void nd_setup_parameters() {

Line 2577 void nd_setup_parameters() {

nd_mask[nd_epw-i-1] = (nd_mask0<<(i*nd_bpe));

nd_mask1 |= (1<<(nd_bpe-1))<<(i*nd_bpe);

}

nm_adv = sizeof(struct oNM)+nd_wpd*sizeof(unsigned int);

nm_adv = sizeof(struct oNM)+(nd_wpd-1)*sizeof(unsigned int);

nmv_adv = sizeof(struct oNMV)+nd_wpd*sizeof(unsigned int);

nmv_adv = sizeof(struct oNMV)+(nd_wpd-1)*sizeof(unsigned int);

nd_blockmask = nd_create_blockmask(nd_ord);

}

/* mod < 0 => realloc nd_ps and pd_psq */

ND_pairs nd_reconstruct(int mod,int trace,ND_pairs d)

{

int i,obpe,oadv,h;

Line 2458 ND_pairs nd_reconstruct(int mod,int trace,ND_pairs d)

Line 2590 ND_pairs nd_reconstruct(int mod,int trace,ND_pairs d)

RHist r;

RHist *old_red;

ND_pairs s0,s,t,prev_ndp_free_list;

EPOS oepos;

obpe = nd_bpe;

oadv = nmv_adv;

oepos = nd_epos;

if ( obpe < 4 ) nd_bpe = 4;

else if ( obpe < 6 ) nd_bpe = 6;

else if ( obpe < 8 ) nd_bpe = 8;

Line 2474 ND_pairs nd_reconstruct(int mod,int trace,ND_pairs d)

Line 2608 ND_pairs nd_reconstruct(int mod,int trace,ND_pairs d)

_nm_free_list = 0;

_ndp_free_list = 0;

if ( mod != 0 )

for ( i = nd_psn-1; i >= 0; i-- ) ndv_realloc(nd_ps[i],obpe,oadv);

for ( i = nd_psn-1; i >= 0; i-- ) ndv_realloc(nd_ps[i],obpe,oadv,oepos);

if ( !mod || trace )

for ( i = nd_psn-1; i >= 0; i-- ) ndv_realloc(nd_psq[i],obpe,oadv);

for ( i = nd_psn-1; i >= 0; i-- ) ndv_realloc(nd_psq[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(obpe,LCM(t),LCM(s));

ndl_reconstruct(obpe,oepos,LCM(t),LCM(s));

}

old_red = (RHist *)ALLOCA(REDTAB_LEN*sizeof(RHist));

Line 2496 ND_pairs nd_reconstruct(int mod,int trace,ND_pairs d)

Line 2630 ND_pairs nd_reconstruct(int mod,int trace,ND_pairs d)

NEWRHist(mr);

mr->index = r->index;

SG(mr) = SG(r);

ndl_reconstruct(obpe,DL(r),DL(mr));

ndl_reconstruct(obpe,oepos,DL(r),DL(mr));

h = ndl_hash_value(DL(mr));

NEXT(mr) = nd_red[h];

nd_red[h] = mr;

Line 2505 ND_pairs nd_reconstruct(int mod,int trace,ND_pairs d)

Line 2639 ND_pairs nd_reconstruct(int mod,int trace,ND_pairs d)

old_red = 0;

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

NEWRHist(r); SG(r) = SG(nd_psh[i]);

ndl_reconstruct(obpe,DL(nd_psh[i]),DL(r));

ndl_reconstruct(obpe,oepos,DL(nd_psh[i]),DL(r));

nd_psh[i] = r;

}

if ( s0 ) NEXT(s) = 0;

Line 2518 ND_pairs nd_reconstruct(int mod,int trace,ND_pairs d)

Line 2652 ND_pairs nd_reconstruct(int mod,int trace,ND_pairs d)

void nd_reconstruct_direct(int mod,NDV *ps,int len)

{

int i,obpe,oadv,h;

unsigned int **bound;

NM prev_nm_free_list;

RHist mr0,mr;

RHist r;

RHist *old_red;

ND_pairs s0,s,t,prev_ndp_free_list;

EPOS oepos;

obpe = nd_bpe;

oadv = nmv_adv;

oepos = nd_epos;

if ( obpe < 4 ) nd_bpe = 4;

else if ( obpe < 6 ) nd_bpe = 6;

else if ( obpe < 8 ) nd_bpe = 8;

Line 2537 void nd_reconstruct_direct(int mod,NDV *ps,int len)

Line 2674 void nd_reconstruct_direct(int mod,NDV *ps,int len)

prev_nm_free_list = _nm_free_list;

prev_ndp_free_list = _ndp_free_list;

_nm_free_list = 0; _ndp_free_list = 0;

if ( mod != 0 )

for ( i = len-1; i >= 0; i-- ) ndv_realloc(ps[i],obpe,oadv,oepos);

for ( i = len-1; i >= 0; i-- ) ndv_realloc(ps[i],obpe,oadv);

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(obpe,DL(r),DL(mr));

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;

prev_nm_free_list = 0;

prev_ndp_free_list = 0;

GC_gcollect();

}

void ndl_reconstruct(int obpe,unsigned int *d,unsigned int *r)

void ndl_reconstruct(int obpe,EPOS oepos,unsigned int *d,unsigned int *r)

{

int n,i,ei,oepw,cepw,cbpe;

int n,i,ei,oepw,omask0,j,s,ord_l,ord_o,l;

struct order_pair *op;

#define GET_EXP_OLD(d,a) (((d)[oepos[a].i]>>oepos[a].s)&omask0)

#define PUT_EXP_OLD(r,a,e) ((r)[oepos[a].i] |= ((e)<<oepos[a].s))

n = nd_nvar;

oepw = (sizeof(unsigned int)*8)/obpe;

cepw = nd_epw;

omask0 = (1<<obpe)-1;

cbpe = nd_bpe;

TD(r) = TD(d);

for ( i = 1; i <= nd_wpd; i++ ) r[i] = 0;

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

if ( nd_isrlex )

if ( nd_blockmask ) {

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

l = nd_blockmask->n;

ei = (d[(n-1-i)/oepw+1]>>((oepw-((n-1-i)%oepw)-1)*obpe))

op = nd_blockmask->order_pair;

&((1<<obpe)-1);

for ( i = 1; i < nd_exporigin; i++ )

r[(n-1-i)/cepw+1] |= (ei<<((cepw-((n-1-i)%cepw)-1)*cbpe));

r[i] = d[i];

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++ ) {

ei = GET_EXP_OLD(d,s+ord_l-i-1);

PUT_EXP(r,s+ord_l-i-1,ei);

}

else

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

ei = GET_EXP_OLD(d,s+i);

PUT_EXP(r,s+i,ei);

}

s += ord_l;

}

else

} else {

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

if ( nd_isrlex )

ei = (d[i/oepw+1]>>((oepw-(i%oepw)-1)*obpe))

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

&((1<<obpe)-1);

ei = GET_EXP_OLD(d,n-1-i);

r[i/cepw+1] |= (ei<<((cepw-(i%cepw)-1)*cbpe));

PUT_EXP(r,n-1-i,ei);

}

else

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

void nd_realloc(ND p,int obpe)

ei = GET_EXP_OLD(d,i);

{

PUT_EXP(r,i,ei);

NM m,mr,mr0;

}

if ( p ) {

m = BDY(p);

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

NEXTNM(mr0,mr);

CM(mr) = CM(m);

ndl_reconstruct(obpe,DL(m),DL(mr));

}

NEXT(mr) = 0;

BDY(p) = mr0;

}

ND nd_copy(ND p)

{

NM m,mr,mr0;

int c,n,s;

int c,n;

ND r;

if ( !p )

return 0;

else {

s = sizeof(struct oNM)+nd_wpd*sizeof(unsigned int);

for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) {

NEXTNM(mr0,mr);

CM(mr) = CM(m);

Line 2720 ND ndv_mul_nm(int mod,NDV p,NM m0)

Line 2844 ND ndv_mul_nm(int mod,NDV p,NM m0)

}

void ndv_realloc(NDV p,int obpe,int oadv)

void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos)

{

NMV m,mr,mr0,t;

int len,i,k;

Line 2737 void ndv_realloc(NDV p,int obpe,int oadv)

Line 2861 void ndv_realloc(NDV p,int obpe,int oadv)

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(obpe,DL(m),DL(t));

ndl_reconstruct(obpe,oepos,DL(m),DL(t));

CQ(mr) = CQ(t);

ndl_copy(DL(t),DL(mr));

}

Line 2793 NDV dptondv(int mod,DP p)

Line 2917 NDV dptondv(int mod,DP p)

DP q;

int l,i,n;

if ( !p ) return 0;

for ( t = BDY(p), l = 0; t; t = NEXT(t), l++ );

if ( mod ) {

_dp_mod(p,mod,0,&q); p = q;

}

if ( !p ) return 0;

for ( t = BDY(p), l = 0; t; t = NEXT(t), l++ );

if ( mod )

m0 = m = (NMV)MALLOC_ATOMIC(l*nmv_adv);

} else

else

m0 = m = (NMV)MALLOC(l*nmv_adv);

n = NV(p);

for ( t = BDY(p), i = 0; i < l; i++, t = NEXT(t), NMV_ADV(m) ) {

for ( t = BDY(p); t; t = NEXT(t), NMV_ADV(m) ) {

if ( mod ) CM(m) = ITOS(C(t));

else CQ(m) = (Q)C(t);

dltondl(n,DL(t),DL(m));

Line 2891 NODE nd_reducebase(NODE x)

Line 3017 NODE nd_reducebase(NODE x)

return x;

}

/* XXX incomplete */

void nd_init_ord(struct order_spec *ord)

{

if ( ord->id )

switch ( ord->id ) {

error("nd_gr : unsupported order");

nd_dcomp = 0;

switch ( ord->ord.simple ) {

case 0:

nd_dcomp = 1;

switch ( ord->ord.simple ) {

nd_isrlex = 1;

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;

default:

error("nd_gr : unsupported order");

}

break;

case 1:

nd_dcomp = 1;

/* XXX */

nd_dcomp = -1;

nd_isrlex = 0;

ndl_compare_function = ndl_block_compare;

break;

case 9:

case 2:

/* td1->td->rlex */

error("nd_init_ord : matrix order is not supported yet.");

nd_dcomp = -dp_nelim;

nd_isrlex = 1;

break;

default:

error("nd_gr : unsupported order");

}

nd_ord = ord;

}

BlockMask nd_create_blockmask(struct order_spec *ord)

{

int n,i,j,s,l;

unsigned int *t;

BlockMask bm;

if ( !ord->id )

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 = (unsigned int **)MALLOC(n*sizeof(unsigned int *));

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

bm->mask[i] = t

= (unsigned int *)MALLOC_ATOMIC(nd_wpd*sizeof(unsigned int));

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;

}

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