| version 1.5, 2003/07/24 03:45:41 |
version 1.242, 2017/09/17 02:34:02 |
|
|
| /* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.4 2003/07/23 14:24:14 noro Exp $ */ |
/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.241 2017/09/16 08:02:35 noro Exp $ */ |
| |
|
| #include "ca.h" |
#include "nd.h" |
| #include "inline.h" |
|
| |
|
| #define USE_NDV 0 |
struct oEGT eg_search; |
| |
|
| #if defined(__GNUC__) |
int diag_period = 6; |
| #define INLINE inline |
int weight_check = 1; |
| #elif defined(VISUAL) |
int (*ndl_compare_function)(UINT *a1,UINT *a2); |
| #define INLINE __inline |
int nd_dcomp; |
| #else |
int nd_rref2; |
| #define INLINE |
|
| #endif |
|
| |
|
| #define REDTAB_LEN 32003 |
|
| |
|
| typedef struct oPGeoBucket { |
|
| int m; |
|
| struct oND *body[32]; |
|
| } *PGeoBucket; |
|
| |
|
| typedef struct oND { |
|
| struct oNM *body; |
|
| int nv; |
|
| int sugar; |
|
| } *ND; |
|
| |
|
| typedef struct oNDV { |
|
| struct oNMV *body; |
|
| int nv; |
|
| int sugar; |
|
| int len; |
|
| } *NDV; |
|
| |
|
| typedef struct oNM { |
|
| struct oNM *next; |
|
| int td; |
|
| int c; |
|
| unsigned int dl[1]; |
|
| } *NM; |
|
| |
|
| typedef struct oNMV { |
|
| int td; |
|
| int c; |
|
| unsigned int dl[1]; |
|
| } *NMV; |
|
| |
|
| typedef struct oND_pairs { |
|
| struct oND_pairs *next; |
|
| int i1,i2; |
|
| int td,sugar; |
|
| unsigned int lcm[1]; |
|
| } *ND_pairs; |
|
| |
|
| static ND *nd_ps; |
|
| static NDV *nd_psv; |
|
| static unsigned int **nd_bound; |
|
| int nd_mod,nd_nvar; |
|
| int is_rlex; |
|
| int nd_epw,nd_bpe,nd_wpd; |
|
| unsigned int nd_mask[32]; |
|
| unsigned int nd_mask0,nd_mask1; |
|
| NM _nm_free_list; |
NM _nm_free_list; |
| ND _nd_free_list; |
ND _nd_free_list; |
| ND_pairs _ndp_free_list; |
ND_pairs _ndp_free_list; |
| NM *nd_red; |
NODE nd_hcf; |
| int nd_red_len; |
|
| |
|
| extern int Top,Reverse; |
Obj nd_top_weight; |
| int nd_psn,nd_pslen; |
|
| int nd_found,nd_create,nd_notfirst; |
|
| |
|
| void GC_gcollect(); |
static NODE nd_subst; |
| NODE append_one(NODE,int); |
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; |
| |
|
| #define HTD(d) ((d)->body->td) |
static NDV *nd_ps; |
| #define HDL(d) ((d)->body->dl) |
static NDV *nd_ps_gz; |
| #define HC(d) ((d)->body->c) |
static NDV *nd_ps_trace; |
| |
static NDV *nd_ps_sym; |
| |
static NDV *nd_ps_trace_sym; |
| |
static RHist *nd_psh; |
| |
static int nd_psn,nd_pslen; |
| |
static RHist *nd_red; |
| |
static int *nd_work_vector; |
| |
static int **nd_matrix; |
| |
static int nd_matrix_len; |
| |
static struct weight_or_block *nd_worb; |
| |
static int nd_worb_len; |
| |
static int nd_found,nd_create,nd_notfirst; |
| |
static int nmv_adv; |
| |
static int nd_demand; |
| |
static int nd_module,nd_ispot,nd_mpos,nd_pot_nelim; |
| |
static int nd_module_rank,nd_poly_weight_len; |
| |
static int *nd_poly_weight,*nd_module_weight; |
| |
static NODE nd_tracelist; |
| |
static NODE nd_alltracelist; |
| |
static int nd_gentrace,nd_gensyz,nd_nora,nd_newelim,nd_intersect,nd_lf; |
| |
static int *nd_gbblock; |
| |
static NODE nd_nzlist,nd_check_splist; |
| |
static int nd_splist; |
| |
static int *nd_sugarweight; |
| |
static int nd_f4red,nd_rank0,nd_last_nonzero; |
| |
|
| #define NEWND_pairs(m) if(!_ndp_free_list)_NDP_alloc(); (m)=_ndp_free_list; _ndp_free_list = NEXT(_ndp_free_list) |
NumberField get_numberfield(); |
| #define NEWNM(m) if(!_nm_free_list)_NM_alloc(); (m)=_nm_free_list; _nm_free_list = NEXT(_nm_free_list) |
UINT *nd_det_compute_bound(NDV **dm,int n,int j); |
| #define MKND(n,m,d) if(!_nd_free_list)_ND_alloc(); (d)=_nd_free_list; _nd_free_list = (ND)BDY(_nd_free_list); (d)->nv=(n); BDY(d)=(m) |
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); |
| |
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); |
| |
void parse_nd_option(NODE opt); |
| |
void dltondl(int n,DL dl,UINT *r); |
| |
DP ndvtodp(int mod,NDV p); |
| |
DP ndtodp(int mod,ND p); |
| |
NDV ndvtondvgz(NDV p); |
| |
NDV ndvgztondv(NDV p); |
| |
ND ndtondgz(ND p); |
| |
ND ndgztond(ND p); |
| |
|
| #define NEXTNM(r,c) \ |
void Pdp_set_weight(NODE,VECT *); |
| if(!(r)){NEWNM(r);(c)=(r);}else{NEWNM(NEXT(c));(c)=NEXT(c);} |
void Pox_cmo_rpc(NODE,Obj *); |
| #define NEXTNM2(r,c,s) \ |
|
| if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);} |
|
| #define FREENM(m) NEXT(m)=_nm_free_list; _nm_free_list=(m) |
|
| #define FREENDP(m) NEXT(m)=_ndp_free_list; _ndp_free_list=(m) |
|
| #define FREEND(m) BDY(m)=(NM)_nd_free_list; _nd_free_list=(m) |
|
| |
|
| #define NEXTND_pairs(r,c) \ |
ND nd_add_lf(ND p1,ND p2); |
| if(!(r)){NEWND_pairs(r);(c)=(r);}else{NEWND_pairs(NEXT(c));(c)=NEXT(c);} |
void nd_mul_c_lf(ND p,GZ mul); |
| |
void ndv_mul_c_lf(NDV p,GZ mul); |
| |
NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col, |
| |
NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz); |
| |
NODE nd_f4_red_mod64_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col, |
| |
NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz); |
| |
NODE nd_f4_red_lf_main(int m,ND_pairs sp0,int nsp,int trace,UINT *s0vect,int col, |
| |
NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred); |
| |
int nd_gauss_elim_lf(mpz_t **mat0,int *sugar,int row,int col,int *colstat); |
| |
NODE nd_f4_lf_trace_main(int m,int **indp); |
| |
void nd_f4_lf_trace(LIST f,LIST v,int trace,int homo,struct order_spec *ord,LIST *rp); |
| |
|
| ND_pairs crit_B( ND_pairs d, int s ); |
extern int lf_lazy; |
| void nd_gr(LIST f,LIST v,int m,struct order_spec *ord,LIST *rp); |
extern GZ current_mod_lf; |
| NODE nd_setup(NODE f); |
|
| int nd_newps(ND a); |
|
| ND_pairs nd_minp( ND_pairs d, ND_pairs *prest ); |
|
| NODE update_base(NODE nd,int ndp); |
|
| static ND_pairs equivalent_pairs( ND_pairs d1, ND_pairs *prest ); |
|
| int crit_2( int dp1, int dp2 ); |
|
| ND_pairs crit_F( ND_pairs d1 ); |
|
| ND_pairs crit_M( ND_pairs d1 ); |
|
| ND_pairs nd_newpairs( NODE g, int t ); |
|
| ND_pairs update_pairs( ND_pairs d, NODE /* of index */ g, int t); |
|
| NODE nd_gb(NODE f); |
|
| void nd_free_private_storage(); |
|
| void _NM_alloc(); |
|
| void _ND_alloc(); |
|
| int ndl_td(unsigned int *d); |
|
| ND nd_add(ND p1,ND p2); |
|
| ND nd_mul_nm(ND p,NM m0); |
|
| ND nd_mul_term(ND p,int td,unsigned int *d); |
|
| int nd_sp(ND_pairs p,ND *nf); |
|
| int nd_find_reducer(ND g,ND *red); |
|
| int nd_nf(ND g,int full,ND *nf); |
|
| ND nd_reduce(ND p1,ND p2); |
|
| ND nd_reduce_special(ND p1,ND p2); |
|
| void nd_free(ND p); |
|
| void ndl_print(unsigned int *dl); |
|
| void nd_print(ND p); |
|
| void ndp_print(ND_pairs d); |
|
| int nd_length(ND p); |
|
| void nd_monic(ND p); |
|
| void nd_mul_c(ND p,int mul); |
|
| void nd_free_redlist(); |
|
| void nd_append_red(unsigned int *d,int td,int i); |
|
| unsigned int *nd_compute_bound(ND p); |
|
| unsigned int *dp_compute_bound(DP p); |
|
| ND_pairs nd_reconstruct(ND_pairs); |
|
| void nd_setup_parameters(); |
|
| ND nd_dup(ND p,int obpe); |
|
| void ndl_dup(int obpe,unsigned int *d,unsigned int *r); |
|
| |
|
| #if USE_NDV |
extern int Denominator,DP_Multiple,MaxDeg; |
| #define NMV_ADV(m) (m = (NMV)(((char *)m)+nmv_adv)) |
|
| #define NEWNDV(d) ((d)=(NDV)MALLOC(sizeof(struct oNDV))) |
|
| #define MKNDV(n,m,l,d) NEWNDV(d); (d)->nv=(n); BDY(d)=(m); (d)->len = l; |
|
| |
|
| int nmv_adv; |
#define BLEN (8*sizeof(unsigned long)) |
| int nmv_len; |
|
| NDV ndv_red; |
|
| |
|
| ND ndv_add(ND p1,NDV p2); |
typedef struct matrix { |
| int ndv_find_reducer(ND g,NDV red); |
int row,col; |
| NDV ndtondv(ND p); |
unsigned long **a; |
| void ndv_mul_nm(NDV pv,NM m,NDV r); |
} *matrix; |
| #endif |
|
| |
|
| |
|
| void nd_free_private_storage() |
void nd_free_private_storage() |
| { |
{ |
| _nd_free_list = 0; |
_nm_free_list = 0; |
| _nm_free_list = 0; |
_ndp_free_list = 0; |
| _ndp_free_list = 0; |
#if 0 |
| nd_red = 0; |
GC_gcollect(); |
| GC_gcollect(); |
#endif |
| } |
} |
| |
|
| void _NM_alloc() |
void _NM_alloc() |
| { |
{ |
| NM p; |
NM p; |
| int i; |
int i; |
| |
|
| for ( i = 0; i < 16; i++ ) { |
for ( i = 0; i < 1024; i++ ) { |
| p = (NM)GC_malloc(sizeof(struct oNM)+(nd_wpd-1)*sizeof(unsigned int)); |
p = (NM)MALLOC(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT)); |
| p->next = _nm_free_list; _nm_free_list = p; |
p->next = _nm_free_list; _nm_free_list = p; |
| } |
} |
| } |
} |
| |
|
| |
matrix alloc_matrix(int row,int col) |
| |
{ |
| |
unsigned long **a; |
| |
int i,len,blen; |
| |
matrix mat; |
| |
|
| |
mat = (matrix)MALLOC(sizeof(struct matrix)); |
| |
mat->row = row; |
| |
mat->col = col; |
| |
mat->a = a = (unsigned long **)MALLOC(row*sizeof(unsigned long *)); |
| |
return mat; |
| |
} |
| |
|
| |
|
| void _ND_alloc() |
void _ND_alloc() |
| { |
{ |
| ND p; |
ND p; |
| int i; |
int i; |
| |
|
| for ( i = 0; i < 1024; i++ ) { |
for ( i = 0; i < 1024; i++ ) { |
| p = (ND)GC_malloc(sizeof(struct oND)); |
p = (ND)MALLOC(sizeof(struct oND)); |
| p->body = (NM)_nd_free_list; _nd_free_list = p; |
p->body = (NM)_nd_free_list; _nd_free_list = p; |
| } |
} |
| } |
} |
| |
|
| void _NDP_alloc() |
void _NDP_alloc() |
| { |
{ |
| ND_pairs p; |
ND_pairs p; |
| int i; |
int i; |
| |
|
| for ( i = 0; i < 10240; i++ ) { |
for ( i = 0; i < 1024; i++ ) { |
| p = (ND_pairs)GC_malloc(sizeof(struct oND_pairs) |
p = (ND_pairs)MALLOC(sizeof(struct oND_pairs) |
| +(nd_wpd-1)*sizeof(unsigned int)); |
+(nd_wpd-1)*sizeof(UINT)); |
| p->next = _ndp_free_list; _ndp_free_list = p; |
p->next = _ndp_free_list; _ndp_free_list = p; |
| } |
} |
| } |
} |
| |
|
| INLINE nd_length(ND p) |
INLINE int nd_length(ND p) |
| { |
{ |
| NM m; |
NM m; |
| int i; |
int i; |
| |
|
| if ( !p ) |
if ( !p ) |
| return 0; |
return 0; |
| else { |
else { |
| for ( i = 0, m = BDY(p); m; m = NEXT(m), i++ ); |
for ( i = 0, m = BDY(p); m; m = NEXT(m), i++ ); |
| return i; |
return i; |
| } |
} |
| } |
} |
| |
|
| INLINE int ndl_reducible(unsigned int *d1,unsigned int *d2) |
extern int dp_negative_weight; |
| |
|
| |
INLINE int ndl_reducible(UINT *d1,UINT *d2) |
| { |
{ |
| unsigned int u1,u2; |
UINT u1,u2; |
| int i,j; |
int i,j; |
| |
|
| switch ( nd_bpe ) { |
if ( nd_module && (MPOS(d1) != MPOS(d2)) ) return 0; |
| case 4: |
|
| for ( i = 0; i < nd_wpd; i++ ) { |
if ( !dp_negative_weight && TD(d1) < TD(d2) ) return 0; |
| u1 = d1[i]; u2 = d2[i]; |
#if USE_UNROLL |
| if ( (u1&0xf0000000) < (u2&0xf0000000) ) return 0; |
switch ( nd_bpe ) { |
| if ( (u1&0xf000000) < (u2&0xf000000) ) return 0; |
case 3: |
| if ( (u1&0xf00000) < (u2&0xf00000) ) return 0; |
for ( i = nd_exporigin; i < nd_wpd; i++ ) { |
| if ( (u1&0xf0000) < (u2&0xf0000) ) return 0; |
u1 = d1[i]; u2 = d2[i]; |
| if ( (u1&0xf000) < (u2&0xf000) ) return 0; |
if ( (u1&0x38000000) < (u2&0x38000000) ) return 0; |
| if ( (u1&0xf00) < (u2&0xf00) ) return 0; |
if ( (u1& 0x7000000) < (u2& 0x7000000) ) return 0; |
| if ( (u1&0xf0) < (u2&0xf0) ) return 0; |
if ( (u1& 0xe00000) < (u2& 0xe00000) ) return 0; |
| if ( (u1&0xf) < (u2&0xf) ) return 0; |
if ( (u1& 0x1c0000) < (u2& 0x1c0000) ) return 0; |
| } |
if ( (u1& 0x38000) < (u2& 0x38000) ) return 0; |
| return 1; |
if ( (u1& 0x7000) < (u2& 0x7000) ) return 0; |
| break; |
if ( (u1& 0xe00) < (u2& 0xe00) ) return 0; |
| case 6: |
if ( (u1& 0x1c0) < (u2& 0x1c0) ) return 0; |
| for ( i = 0; i < nd_wpd; i++ ) { |
if ( (u1& 0x38) < (u2& 0x38) ) return 0; |
| u1 = d1[i]; u2 = d2[i]; |
if ( (u1& 0x7) < (u2& 0x7) ) return 0; |
| if ( (u1&0x3f000000) < (u2&0x3f000000) ) return 0; |
} |
| if ( (u1&0xfc0000) < (u2&0xfc0000) ) return 0; |
return 1; |
| if ( (u1&0x3f000) < (u2&0x3f000) ) return 0; |
break; |
| if ( (u1&0xfc0) < (u2&0xfc0) ) return 0; |
case 4: |
| if ( (u1&0x3f) < (u2&0x3f) ) return 0; |
for ( i = nd_exporigin; i < nd_wpd; i++ ) { |
| } |
u1 = d1[i]; u2 = d2[i]; |
| return 1; |
if ( (u1&0xf0000000) < (u2&0xf0000000) ) return 0; |
| break; |
if ( (u1& 0xf000000) < (u2& 0xf000000) ) return 0; |
| case 8: |
if ( (u1& 0xf00000) < (u2& 0xf00000) ) return 0; |
| for ( i = 0; i < nd_wpd; i++ ) { |
if ( (u1& 0xf0000) < (u2& 0xf0000) ) return 0; |
| u1 = d1[i]; u2 = d2[i]; |
if ( (u1& 0xf000) < (u2& 0xf000) ) return 0; |
| if ( (u1&0xff000000) < (u2&0xff000000) ) return 0; |
if ( (u1& 0xf00) < (u2& 0xf00) ) return 0; |
| if ( (u1&0xff0000) < (u2&0xff0000) ) return 0; |
if ( (u1& 0xf0) < (u2& 0xf0) ) return 0; |
| if ( (u1&0xff00) < (u2&0xff00) ) return 0; |
if ( (u1& 0xf) < (u2& 0xf) ) return 0; |
| if ( (u1&0xff) < (u2&0xff) ) return 0; |
} |
| } |
return 1; |
| return 1; |
break; |
| break; |
case 6: |
| case 16: |
for ( i = nd_exporigin; i < nd_wpd; i++ ) { |
| for ( i = 0; i < nd_wpd; i++ ) { |
u1 = d1[i]; u2 = d2[i]; |
| u1 = d1[i]; u2 = d2[i]; |
if ( (u1&0x3f000000) < (u2&0x3f000000) ) return 0; |
| if ( (u1&0xffff0000) < (u2&0xffff0000) ) return 0; |
if ( (u1& 0xfc0000) < (u2& 0xfc0000) ) return 0; |
| if ( (u1&0xffff) < (u2&0xffff) ) return 0; |
if ( (u1& 0x3f000) < (u2& 0x3f000) ) return 0; |
| } |
if ( (u1& 0xfc0) < (u2& 0xfc0) ) return 0; |
| return 1; |
if ( (u1& 0x3f) < (u2& 0x3f) ) return 0; |
| break; |
} |
| case 32: |
return 1; |
| for ( i = 0; i < nd_wpd; i++ ) |
break; |
| if ( d1[i] < d2[i] ) return 0; |
case 8: |
| return 1; |
for ( i = nd_exporigin; i < nd_wpd; i++ ) { |
| break; |
u1 = d1[i]; u2 = d2[i]; |
| default: |
if ( (u1&0xff000000) < (u2&0xff000000) ) return 0; |
| for ( i = 0; i < nd_wpd; i++ ) { |
if ( (u1& 0xff0000) < (u2& 0xff0000) ) return 0; |
| u1 = d1[i]; u2 = d2[i]; |
if ( (u1& 0xff00) < (u2& 0xff00) ) return 0; |
| for ( j = 0; j < nd_epw; j++ ) |
if ( (u1& 0xff) < (u2& 0xff) ) return 0; |
| if ( (u1&nd_mask[j]) < (u2&nd_mask[j]) ) return 0; |
} |
| } |
return 1; |
| 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 |
| } |
} |
| |
|
| void ndl_lcm(unsigned int *d1,unsigned *d2,unsigned int *d) |
/* |
| |
* 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) |
| { |
{ |
| unsigned int t1,t2,u,u1,u2; |
int w,i,e,n,omask0; |
| int i,j; |
|
| |
|
| switch ( nd_bpe ) { |
omask0 = obpe==32?0xffffffff:((1<<obpe)-1); |
| case 4: |
n = nd_nvar-1; |
| for ( i = 0; i < nd_wpd; i++ ) { |
ndl_zero(r); |
| u1 = d1[i]; u2 = d2[i]; |
for ( i = 0; i < n; i++ ) { |
| t1 = (u1&0xf0000000); t2 = (u2&0xf0000000); u = t1>t2?t1:t2; |
e = GET_EXP_OLD(d,i); |
| t1 = (u1&0xf000000); t2 = (u2&0xf000000); u |= t1>t2?t1:t2; |
PUT_EXP(r,i,e); |
| t1 = (u1&0xf00000); t2 = (u2&0xf00000); u |= t1>t2?t1:t2; |
} |
| t1 = (u1&0xf0000); t2 = (u2&0xf0000); u |= t1>t2?t1:t2; |
w = TD(d); |
| t1 = (u1&0xf000); t2 = (u2&0xf000); u |= t1>t2?t1:t2; |
PUT_EXP(r,nd_nvar-1,weight-w); |
| t1 = (u1&0xf00); t2 = (u2&0xf00); u |= t1>t2?t1:t2; |
if ( nd_module ) MPOS(r) = d[ompos]; |
| t1 = (u1&0xf0); t2 = (u2&0xf0); u |= t1>t2?t1:t2; |
TD(r) = weight; |
| t1 = (u1&0xf); t2 = (u2&0xf); u |= t1>t2?t1:t2; |
if ( nd_blockmask ) ndl_weight_mask(r); |
| d[i] = u; |
|
| } |
|
| break; |
|
| case 6: |
|
| for ( i = 0; 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 = 0; 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 = 0; 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 = 0; i < nd_wpd; i++ ) { |
|
| u1 = d1[i]; u2 = d2[i]; |
|
| d[i] = u1>u2?u1:u2; |
|
| } |
|
| break; |
|
| default: |
|
| for ( i = 0; 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; |
|
| } |
|
| } |
} |
| |
|
| int ndl_td(unsigned int *d) |
void ndl_dehomogenize(UINT *d) |
| { |
{ |
| unsigned int t,u; |
UINT mask; |
| int i,j; |
UINT h; |
| |
int i,bits; |
| |
|
| for ( t = 0, i = 0; i < nd_wpd; i++ ) { |
if ( nd_blockmask ) { |
| u = d[i]; |
h = GET_EXP(d,nd_nvar-1); |
| for ( j = 0; j < nd_epw; j++, u>>=nd_bpe ) |
XOR_EXP(d,nd_nvar-1,h); |
| t += (u&nd_mask0); |
TD(d) -= h; |
| } |
ndl_weight_mask(d); |
| return t; |
} 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; |
| |
} |
| |
} |
| } |
} |
| |
|
| INLINE int ndl_compare(unsigned int *d1,unsigned int *d2) |
void ndl_lcm(UINT *d1,unsigned *d2,UINT *d) |
| { |
{ |
| int i; |
UINT t1,t2,u,u1,u2; |
| |
int i,j,l; |
| |
|
| for ( i = 0; i < nd_wpd; i++, d1++, d2++ ) |
if ( nd_module && (MPOS(d1) != MPOS(d2)) ) |
| if ( *d1 > *d2 ) |
error("ndl_lcm : inconsistent monomials"); |
| return is_rlex ? -1 : 1; |
#if USE_UNROLL |
| else if ( *d1 < *d2 ) |
switch ( nd_bpe ) { |
| return is_rlex ? 1 : -1; |
case 3: |
| return 0; |
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); |
| } |
} |
| |
|
| INLINE int ndl_equal(unsigned int *d1,unsigned int *d2) |
void ndl_max(UINT *d1,unsigned *d2,UINT *d) |
| { |
{ |
| int i; |
UINT t1,t2,u,u1,u2; |
| |
int i,j,l; |
| |
|
| for ( i = 0; i < nd_wpd; i++ ) |
for ( i = nd_exporigin; i < nd_wpd; i++ ) { |
| if ( d1[i] != d2[i] ) |
u1 = d1[i]; u2 = d2[i]; |
| return 0; |
for ( j = 0, u = 0; j < nd_epw; j++ ) { |
| return 1; |
t1 = (u1&nd_mask[j]); t2 = (u2&nd_mask[j]); u |= t1>t2?t1:t2; |
| |
} |
| |
d[i] = u; |
| |
} |
| } |
} |
| |
|
| INLINE void ndl_add(unsigned int *d1,unsigned int *d2,unsigned int *d) |
int ndl_weight(UINT *d) |
| { |
{ |
| int i; |
UINT t,u; |
| |
int i,j; |
| |
|
| for ( i = 0; i < nd_wpd; i++ ) { |
if ( current_dl_weight_vector ) |
| d[i] = d1[i]+d2[i]; |
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_sub(unsigned int *d1,unsigned int *d2,unsigned int *d) |
/* for sugarweight */ |
| |
|
| |
int ndl_weight2(UINT *d) |
| { |
{ |
| int i; |
int t,u; |
| |
int i,j; |
| |
|
| for ( i = 0; i < nd_wpd; i++ ) |
for ( i = 0, t = 0; i < nd_nvar; i++ ) { |
| d[i] = d1[i]-d2[i]; |
u = GET_EXP(d,i); |
| |
t += nd_sugarweight[i]*u; |
| |
} |
| |
if ( nd_module && current_module_weight_vector && MPOS(d) ) |
| |
t += current_module_weight_vector[MPOS(d)]; |
| |
return t; |
| } |
} |
| |
|
| int ndl_disjoint(unsigned int *d1,unsigned int *d2) |
void ndl_weight_mask(UINT *d) |
| { |
{ |
| unsigned int t1,t2,u,u1,u2; |
UINT t,u; |
| int i,j; |
UINT *mask; |
| |
int i,j,k,l; |
| |
|
| switch ( nd_bpe ) { |
l = nd_blockmask->n; |
| case 4: |
for ( k = 0; k < l; k++ ) { |
| for ( i = 0; i < nd_wpd; i++ ) { |
mask = nd_blockmask->mask[k]; |
| u1 = d1[i]; u2 = d2[i]; |
if ( current_dl_weight_vector ) |
| t1 = u1&0xf0000000; t2 = u2&0xf0000000; if ( t1&&t2 ) return 0; |
for ( i = 0, t = 0; i < nd_nvar; i++ ) { |
| t1 = u1&0xf000000; t2 = u2&0xf000000; if ( t1&&t2 ) return 0; |
u = GET_EXP_MASK(d,i,mask); |
| t1 = u1&0xf00000; t2 = u2&0xf00000; if ( t1&&t2 ) return 0; |
t += MUL_WEIGHT(u,i); |
| t1 = u1&0xf0000; t2 = u2&0xf0000; if ( t1&&t2 ) return 0; |
} |
| t1 = u1&0xf000; t2 = u2&0xf000; if ( t1&&t2 ) return 0; |
else |
| t1 = u1&0xf00; t2 = u2&0xf00; if ( t1&&t2 ) return 0; |
for ( t = 0, i = nd_exporigin; i < nd_wpd; i++ ) { |
| t1 = u1&0xf0; t2 = u2&0xf0; if ( t1&&t2 ) return 0; |
u = d[i]&mask[i]; |
| t1 = u1&0xf; t2 = u2&0xf; if ( t1&&t2 ) return 0; |
for ( j = 0; j < nd_epw; j++, u>>=nd_bpe ) |
| } |
t += (u&nd_mask0); |
| return 1; |
} |
| break; |
d[k+1] = t; |
| case 6: |
} |
| for ( i = 0; 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 = 0; 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 = 0; 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 = 0; i < nd_wpd; i++ ) |
|
| if ( d1[i] && d2[i] ) return 0; |
|
| return 1; |
|
| break; |
|
| default: |
|
| for ( i = 0; 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; |
|
| } |
|
| } |
} |
| |
|
| ND nd_reduce(ND p1,ND p2) |
int ndl_lex_compare(UINT *d1,UINT *d2) |
| { |
{ |
| int c,c1,c2,t,td,td2,mul; |
int i; |
| NM m2,prev,head,cur,new; |
|
| unsigned int *d; |
|
| |
|
| if ( !p1 ) |
d1 += nd_exporigin; |
| return 0; |
d2 += nd_exporigin; |
| else { |
for ( i = nd_exporigin; i < nd_wpd; i++, d1++, d2++ ) |
| c2 = invm(HC(p2),nd_mod); |
if ( *d1 > *d2 ) |
| c1 = nd_mod-HC(p1); |
return nd_isrlex ? -1 : 1; |
| DMAR(c1,c2,0,nd_mod,mul); |
else if ( *d1 < *d2 ) |
| td = HTD(p1)-HTD(p2); |
return nd_isrlex ? 1 : -1; |
| d = (unsigned int *)ALLOCA(nd_wpd*sizeof(unsigned int)); |
return 0; |
| ndl_sub(HDL(p1),HDL(p2),d); |
|
| prev = 0; head = cur = BDY(p1); |
|
| NEWNM(new); |
|
| for ( m2 = BDY(p2); m2; ) { |
|
| td2 = new->td = m2->td+td; |
|
| ndl_add(m2->dl,d,new->dl); |
|
| if ( !cur ) { |
|
| c1 = C(m2); |
|
| DMAR(c1,mul,0,nd_mod,c2); |
|
| C(new) = c2; |
|
| if ( !prev ) { |
|
| prev = new; |
|
| NEXT(prev) = 0; |
|
| head = prev; |
|
| } else { |
|
| NEXT(prev) = new; |
|
| NEXT(new) = 0; |
|
| prev = new; |
|
| } |
|
| m2 = NEXT(m2); |
|
| NEWNM(new); |
|
| continue; |
|
| } |
|
| if ( cur->td > td2 ) |
|
| c = 1; |
|
| else if ( cur->td < td2 ) |
|
| c = -1; |
|
| else |
|
| c = ndl_compare(cur->dl,new->dl); |
|
| switch ( c ) { |
|
| case 0: |
|
| c2 = C(m2); |
|
| c1 = C(cur); |
|
| DMAR(c2,mul,c1,nd_mod,t); |
|
| if ( t ) |
|
| C(cur) = t; |
|
| else if ( !prev ) { |
|
| head = NEXT(cur); |
|
| FREENM(cur); |
|
| cur = head; |
|
| } else { |
|
| NEXT(prev) = NEXT(cur); |
|
| FREENM(cur); |
|
| cur = NEXT(prev); |
|
| } |
|
| m2 = NEXT(m2); |
|
| break; |
|
| case 1: |
|
| prev = cur; |
|
| cur = NEXT(cur); |
|
| break; |
|
| case -1: |
|
| if ( !prev ) { |
|
| /* cur = head */ |
|
| prev = new; |
|
| c2 = C(m2); |
|
| DMAR(c2,mul,0,nd_mod,c1); |
|
| C(prev) = c1; |
|
| NEXT(prev) = head; |
|
| head = prev; |
|
| } else { |
|
| c2 = C(m2); |
|
| DMAR(c2,mul,0,nd_mod,c1); |
|
| C(new) = c1; |
|
| NEXT(prev) = new; |
|
| NEXT(new) = cur; |
|
| prev = new; |
|
| } |
|
| NEWNM(new); |
|
| m2 = NEXT(m2); |
|
| break; |
|
| } |
|
| } |
|
| FREENM(new); |
|
| if ( head ) { |
|
| BDY(p1) = head; |
|
| p1->sugar = MAX(p1->sugar,p2->sugar+td); |
|
| return p1; |
|
| } else { |
|
| FREEND(p1); |
|
| return 0; |
|
| } |
|
| |
|
| } |
|
| } |
} |
| |
|
| /* HDL(p1) = HDL(p2) */ |
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; |
| |
|
| ND nd_reduce_special(ND p1,ND p2) |
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 c,c1,c2,t,td,td2,mul; |
int i,j,s,row; |
| NM m2,prev,head,cur,new; |
int *v; |
| |
Q **mat; |
| |
Q *w; |
| |
Q t,t1,t2; |
| |
|
| if ( !p1 ) |
for ( j = 0; j < nd_nvar; j++ ) |
| return 0; |
nd_work_vector[j] = GET_EXP(d1,j)-GET_EXP(d2,j); |
| else { |
if ( nd_top_weight ) { |
| c2 = invm(HC(p2),nd_mod); |
if ( OID(nd_top_weight) == O_VECT ) { |
| c1 = nd_mod-HC(p1); |
mat = (Q **)&BDY((VECT)nd_top_weight); |
| DMAR(c1,c2,0,nd_mod,mul); |
row = 1; |
| prev = 0; head = cur = BDY(p1); |
|
| NEWNM(new); |
|
| for ( m2 = BDY(p2); m2; ) { |
|
| td2 = new->td = m2->td; |
|
| if ( !cur ) { |
|
| c1 = C(m2); |
|
| DMAR(c1,mul,0,nd_mod,c2); |
|
| C(new) = c2; |
|
| bcopy(m2->dl,new->dl,nd_wpd*sizeof(unsigned int)); |
|
| if ( !prev ) { |
|
| prev = new; |
|
| NEXT(prev) = 0; |
|
| head = prev; |
|
| } else { |
|
| NEXT(prev) = new; |
|
| NEXT(new) = 0; |
|
| prev = new; |
|
| } |
|
| m2 = NEXT(m2); |
|
| NEWNM(new); |
|
| continue; |
|
| } |
|
| if ( cur->td > td2 ) |
|
| c = 1; |
|
| else if ( cur->td < td2 ) |
|
| c = -1; |
|
| else |
|
| c = ndl_compare(cur->dl,m2->dl); |
|
| switch ( c ) { |
|
| case 0: |
|
| c2 = C(m2); |
|
| c1 = C(cur); |
|
| DMAR(c2,mul,c1,nd_mod,t); |
|
| if ( t ) |
|
| C(cur) = t; |
|
| else if ( !prev ) { |
|
| head = NEXT(cur); |
|
| FREENM(cur); |
|
| cur = head; |
|
| } else { |
|
| NEXT(prev) = NEXT(cur); |
|
| FREENM(cur); |
|
| cur = NEXT(prev); |
|
| } |
|
| m2 = NEXT(m2); |
|
| break; |
|
| case 1: |
|
| prev = cur; |
|
| cur = NEXT(cur); |
|
| break; |
|
| case -1: |
|
| bcopy(m2->dl,new->dl,nd_wpd*sizeof(unsigned int)); |
|
| if ( !prev ) { |
|
| /* cur = head */ |
|
| prev = new; |
|
| c2 = C(m2); |
|
| DMAR(c2,mul,0,nd_mod,c1); |
|
| C(prev) = c1; |
|
| NEXT(prev) = head; |
|
| head = prev; |
|
| } else { |
|
| c2 = C(m2); |
|
| DMAR(c2,mul,0,nd_mod,c1); |
|
| C(new) = c1; |
|
| NEXT(prev) = new; |
|
| NEXT(new) = cur; |
|
| prev = new; |
|
| } |
|
| NEWNM(new); |
|
| m2 = NEXT(m2); |
|
| break; |
|
| } |
|
| } |
|
| FREENM(new); |
|
| if ( head ) { |
|
| BDY(p1) = head; |
|
| p1->sugar = MAX(p1->sugar,p2->sugar+td); |
|
| return p1; |
|
| } else { |
} else { |
| FREEND(p1); |
mat = (Q **)BDY((MAT)nd_top_weight); |
| return 0; |
row = ((MAT)nd_top_weight)->row; |
| } |
} |
| |
for ( i = 0; i < row; i++ ) { |
| |
w = (Q *)mat[i]; |
| |
for ( j = 0, t = 0; j < nd_nvar; j++ ) { |
| |
STOQ(nd_work_vector[j],t1); |
| |
mulq(w[j],t1,&t2); |
| |
addq(t,t2,&t1); |
| |
t = t1; |
| |
} |
| |
if ( t ) { |
| |
s = SGN(t); |
| |
if ( s > 0 ) return 1; |
| |
else if ( s < 0 ) return -1; |
| |
} |
| |
} |
| } |
} |
| |
for ( i = 0; i < nd_matrix_len; i++ ) { |
| |
v = nd_matrix[i]; |
| |
for ( j = 0, s = 0; j < nd_nvar; j++ ) |
| |
s += v[j]*nd_work_vector[j]; |
| |
if ( s > 0 ) return 1; |
| |
else if ( s < 0 ) return -1; |
| |
} |
| |
if ( !ndl_equal(d1,d2) ) |
| |
error("afo"); |
| |
return 0; |
| } |
} |
| |
|
| int ndl_check_bound2(int index,unsigned int *d2) |
int ndl_composite_compare(UINT *d1,UINT *d2) |
| { |
{ |
| unsigned int u2; |
int i,j,s,start,end,len,o; |
| unsigned int *d1; |
int *v; |
| int i,j,ind,k; |
struct sparse_weight *sw; |
| |
|
| d1 = nd_bound[index]; |
for ( j = 0; j < nd_nvar; j++ ) |
| ind = 0; |
nd_work_vector[j] = GET_EXP(d1,j)-GET_EXP(d2,j); |
| switch ( nd_bpe ) { |
for ( i = 0; i < nd_worb_len; i++ ) { |
| case 4: |
len = nd_worb[i].length; |
| for ( i = 0; i < nd_wpd; i++ ) { |
switch ( nd_worb[i].type ) { |
| u2 = d2[i]; |
case IS_DENSE_WEIGHT: |
| if ( d1[ind++]+((u2>>28)&0xf) >= 0x10 ) return 1; |
v = nd_worb[i].body.dense_weight; |
| if ( d1[ind++]+((u2>>24)&0xf) >= 0x10 ) return 1; |
for ( j = 0, s = 0; j < len; j++ ) |
| if ( d1[ind++]+((u2>>20)&0xf) >= 0x10 ) return 1; |
s += v[j]*nd_work_vector[j]; |
| if ( d1[ind++]+((u2>>16)&0xf) >= 0x10 ) return 1; |
if ( s > 0 ) return 1; |
| if ( d1[ind++]+((u2>>12)&0xf) >= 0x10 ) return 1; |
else if ( s < 0 ) return -1; |
| if ( d1[ind++]+((u2>>8)&0xf) >= 0x10 ) return 1; |
break; |
| if ( d1[ind++]+((u2>>4)&0xf) >= 0x10 ) return 1; |
case IS_SPARSE_WEIGHT: |
| if ( d1[ind++]+(u2&0xf) >= 0x10 ) return 1; |
sw = nd_worb[i].body.sparse_weight; |
| } |
for ( j = 0, s = 0; j < len; j++ ) |
| return 0; |
s += sw[j].value*nd_work_vector[sw[j].pos]; |
| break; |
if ( s > 0 ) return 1; |
| case 6: |
else if ( s < 0 ) return -1; |
| for ( i = 0; i < nd_wpd; i++ ) { |
break; |
| u2 = d2[i]; |
case IS_BLOCK: |
| if ( d1[ind++]+((u2>>24)&0x3f) >= 0x40 ) return 1; |
o = nd_worb[i].body.block.order; |
| if ( d1[ind++]+((u2>>18)&0x3f) >= 0x40 ) return 1; |
start = nd_worb[i].body.block.start; |
| if ( d1[ind++]+((u2>>12)&0x3f) >= 0x40 ) return 1; |
switch ( o ) { |
| if ( d1[ind++]+((u2>>6)&0x3f) >= 0x40 ) return 1; |
case 0: |
| if ( d1[ind++]+(u2&0x3f) >= 0x40 ) return 1; |
end = start+len; |
| } |
for ( j = start, s = 0; j < end; j++ ) |
| return 0; |
s += MUL_WEIGHT(nd_work_vector[j],j); |
| break; |
if ( s > 0 ) return 1; |
| case 8: |
else if ( s < 0 ) return -1; |
| for ( i = 0; i < nd_wpd; i++ ) { |
for ( j = end-1; j >= start; j-- ) |
| u2 = d2[i]; |
if ( nd_work_vector[j] < 0 ) return 1; |
| if ( d1[ind++]+((u2>>24)&0xff) >= 0x100 ) return 1; |
else if ( nd_work_vector[j] > 0 ) return -1; |
| if ( d1[ind++]+((u2>>16)&0xff) >= 0x100 ) return 1; |
break; |
| if ( d1[ind++]+((u2>>8)&0xff) >= 0x100 ) return 1; |
case 1: |
| if ( d1[ind++]+(u2&0xff) >= 0x100 ) return 1; |
end = start+len; |
| } |
for ( j = start, s = 0; j < end; j++ ) |
| return 0; |
s += MUL_WEIGHT(nd_work_vector[j],j); |
| break; |
if ( s > 0 ) return 1; |
| case 16: |
else if ( s < 0 ) return -1; |
| for ( i = 0; i < nd_wpd; i++ ) { |
for ( j = start; j < end; j++ ) |
| u2 = d2[i]; |
if ( nd_work_vector[j] > 0 ) return 1; |
| if ( d1[ind++]+((u2>>16)&0xffff) > 0x10000 ) return 1; |
else if ( nd_work_vector[j] < 0 ) return -1; |
| if ( d1[ind++]+(u2&0xffff) > 0x10000 ) return 1; |
break; |
| } |
case 2: |
| return 0; |
end = start+len; |
| break; |
for ( j = start; j < end; j++ ) |
| case 32: |
if ( nd_work_vector[j] > 0 ) return 1; |
| for ( i = 0; i < nd_wpd; i++ ) |
else if ( nd_work_vector[j] < 0 ) return -1; |
| if ( d1[i]+d2[i]<d1[i] ) return 1; |
break; |
| return 0; |
} |
| break; |
break; |
| default: |
} |
| for ( i = 0; i < nd_wpd; i++ ) { |
} |
| u2 = d2[i]; |
return 0; |
| 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; |
|
| } |
|
| } |
} |
| |
|
| int nd_sp(ND_pairs p,ND *rp) |
/* TDH -> WW -> TD-> RL */ |
| |
|
| |
int ndl_ww_lex_compare(UINT *d1,UINT *d2) |
| { |
{ |
| NM m; |
int i,m,e1,e2; |
| ND p1,p2,t1,t2; |
|
| unsigned int *lcm; |
|
| int td; |
|
| |
|
| p1 = nd_ps[p->i1]; |
if ( TD(d1) > TD(d2) ) return 1; |
| p2 = nd_ps[p->i2]; |
else if ( TD(d1) < TD(d2) ) return -1; |
| lcm = p->lcm; |
m = nd_nvar>>1; |
| td = p->td; |
for ( i = 0, e1 = e2 = 0; i < m; i++ ) { |
| NEWNM(m); |
e1 += current_weyl_weight_vector[i]*(GET_EXP(d1,m+i)-GET_EXP(d1,i)); |
| C(m) = HC(p2); m->td = td-HTD(p1); ndl_sub(lcm,HDL(p1),m->dl); NEXT(m) = 0; |
e2 += current_weyl_weight_vector[i]*(GET_EXP(d2,m+i)-GET_EXP(d2,i)); |
| if ( ndl_check_bound2(p->i1,m->dl) ) |
} |
| return 0; |
if ( e1 > e2 ) return 1; |
| t1 = nd_mul_nm(p1,m); |
else if ( e1 < e2 ) return -1; |
| C(m) = nd_mod-HC(p1); m->td = td-HTD(p2); ndl_sub(lcm,HDL(p2),m->dl); |
return ndl_lex_compare(d1,d2); |
| if ( ndl_check_bound2(p->i2,m->dl) ) { |
|
| nd_free(t1); |
|
| return 0; |
|
| } |
|
| t2 = nd_mul_nm(p2,m); |
|
| FREENM(m); |
|
| *rp = nd_add(t1,t2); |
|
| return 1; |
|
| } |
} |
| |
|
| int ndl_hash_value(int td,unsigned int *d) |
int ndl_module_weight_compare(UINT *d1,UINT *d2) |
| { |
{ |
| int i; |
int s,j; |
| int r; |
|
| |
|
| r = td; |
if ( nd_nvar != nd_poly_weight_len ) |
| for ( i = 0; i < nd_wpd; i++ ) |
error("invalid module weight : the length of polynomial weight != the number of variables"); |
| r = ((r<<16)+d[i])%REDTAB_LEN; |
s = 0; |
| return r; |
for ( j = 0; j < nd_nvar; j++ ) |
| |
s += (GET_EXP(d1,j)-GET_EXP(d2,j))*nd_poly_weight[j]; |
| |
if ( MPOS(d1) >= 1 && MPOS(d2) >= 1 ) { |
| |
s += nd_module_weight[MPOS(d1)-1]-nd_module_weight[MPOS(d2)-1]; |
| |
} |
| |
if ( s > 0 ) return 1; |
| |
else if ( s < 0 ) return -1; |
| |
else return 0; |
| } |
} |
| |
|
| int nd_find_reducer(ND g, ND *rp) |
int ndl_module_grlex_compare(UINT *d1,UINT *d2) |
| { |
{ |
| NM m; |
int i,c; |
| ND r,p; |
|
| int i,c1,c2,c; |
|
| int d,k,append,index; |
|
| NM t; |
|
| |
|
| d = ndl_hash_value(HTD(g),HDL(g)); |
if ( nd_module_rank && (c = ndl_module_weight_compare(d1,d2)) ) return c; |
| for ( m = nd_red[d], k = 0; m; m = NEXT(m), k++ ) { |
if ( nd_ispot ) { |
| if ( HTD(g) == m->td && ndl_equal(HDL(g),m->dl) ) { |
if ( nd_pot_nelim && MPOS(d1)>=nd_pot_nelim+1 && MPOS(d2) >= nd_pot_nelim+1 ) { |
| if ( k > 0 ) nd_notfirst++; |
if ( TD(d1) > TD(d2) ) return 1; |
| index = m->c; |
else if ( TD(d1) < TD(d2) ) return -1; |
| append = 0; |
if ( c = ndl_lex_compare(d1,d2) ) return c; |
| nd_found++; |
if ( MPOS(d1) < MPOS(d2) ) return 1; |
| goto found; |
else if ( MPOS(d1) > MPOS(d2) ) return -1; |
| |
return 0; |
| } |
} |
| } |
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; |
| |
} |
| |
|
| for ( i = 0; i < nd_psn; i++ ) { |
int ndl_module_glex_compare(UINT *d1,UINT *d2) |
| p = nd_ps[i]; |
{ |
| if ( HTD(g) >= HTD(p) && ndl_reducible(HDL(g),HDL(p)) ) { |
int i,c; |
| index = i; |
|
| append = 1; |
|
| nd_create++; |
|
| goto found; |
|
| } |
|
| } |
|
| return 0; |
|
| |
|
| found: |
if ( nd_module_rank && (c = ndl_module_weight_compare(d1,d2)) ) return c; |
| NEWNM(m); |
if ( nd_ispot ) { |
| p = nd_ps[index]; |
if ( MPOS(d1) < MPOS(d2) ) return 1; |
| ndl_sub(HDL(g),HDL(p),m->dl); |
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; |
| |
} |
| |
|
| if ( ndl_check_bound2(index,m->dl) ) { |
int ndl_module_lex_compare(UINT *d1,UINT *d2) |
| FREENM(m); |
{ |
| return -1; |
int i,c; |
| } |
|
| |
|
| c1 = invm(HC(p),nd_mod); |
if ( nd_module_rank && (c = ndl_module_weight_compare(d1,d2)) ) return c; |
| c2 = nd_mod-HC(g); |
if ( nd_ispot ) { |
| DMAR(c1,c2,0,nd_mod,c); |
if ( MPOS(d1) < MPOS(d2) ) return 1; |
| C(m) = c; |
else if ( MPOS(d1) > MPOS(d2) ) return -1; |
| m->td = HTD(g)-HTD(p); |
} |
| NEXT(m) = 0; |
if ( c = ndl_lex_compare(d1,d2) ) return c; |
| *rp = r = nd_mul_nm(p,m); |
if ( !nd_ispot ) { |
| FREENM(m); |
if ( MPOS(d1) < MPOS(d2) ) return 1; |
| |
else if ( MPOS(d1) > MPOS(d2) ) return -1; |
| |
} |
| |
return 0; |
| |
} |
| |
|
| if ( append ) nd_append_red(HDL(g),HTD(g),i); |
int ndl_module_block_compare(UINT *d1,UINT *d2) |
| return 1; |
{ |
| |
int i,c; |
| |
|
| |
if ( nd_module_rank && (c = ndl_module_weight_compare(d1,d2)) ) return 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; |
| } |
} |
| |
|
| ND nd_find_monic_reducer(ND g) |
int ndl_module_matrix_compare(UINT *d1,UINT *d2) |
| { |
{ |
| int *d; |
int i,c; |
| ND p,r; |
|
| int i; |
|
| |
|
| for ( i = 0; i < nd_psn; i++ ) { |
if ( nd_module_rank && (c = ndl_module_weight_compare(d1,d2)) ) return c; |
| p = nd_ps[i]; |
if ( nd_ispot ) { |
| if ( HTD(g) >= HTD(p) && ndl_reducible(HDL(g),HDL(p)) ) { |
if ( MPOS(d1) < MPOS(d2) ) return 1; |
| d = (int *)ALLOCA(nd_wpd*sizeof(int)); |
else if ( MPOS(d1) > MPOS(d2) ) return -1; |
| ndl_sub(HDL(g),HDL(p),d); |
} |
| r = nd_mul_term(p,HTD(g)-HTD(p),d); |
if ( c = ndl_matrix_compare(d1,d2) ) return c; |
| return r; |
if ( !nd_ispot ) { |
| } |
if ( MPOS(d1) < MPOS(d2) ) return 1; |
| } |
else if ( MPOS(d1) > MPOS(d2) ) return -1; |
| return 0; |
} |
| |
return 0; |
| } |
} |
| |
|
| ND nd_add(ND p1,ND p2) |
int ndl_module_composite_compare(UINT *d1,UINT *d2) |
| { |
{ |
| int n,c; |
int i,c; |
| int t; |
|
| ND r; |
|
| NM m1,m2,mr0,mr,s; |
|
| |
|
| if ( !p1 ) |
if ( nd_module_rank && (c = ndl_module_weight_compare(d1,d2)) ) return c; |
| return p2; |
if ( nd_ispot ) { |
| else if ( !p2 ) |
if ( MPOS(d1) > MPOS(d2) ) return 1; |
| return p1; |
else if ( MPOS(d1) < MPOS(d2) ) return -1; |
| else { |
} |
| for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) { |
if ( c = ndl_composite_compare(d1,d2) ) return c; |
| if ( m1->td > m2->td ) |
if ( !nd_ispot ) { |
| c = 1; |
if ( MPOS(d1) > MPOS(d2) ) return 1; |
| else if ( m1->td < m2->td ) |
else if ( MPOS(d1) < MPOS(d2) ) return -1; |
| c = -1; |
} |
| else |
return 0; |
| c = ndl_compare(m1->dl,m2->dl); |
|
| switch ( c ) { |
|
| case 0: |
|
| t = ((C(m1))+(C(m2))) - nd_mod; |
|
| if ( t < 0 ) |
|
| t += nd_mod; |
|
| s = m1; m1 = NEXT(m1); |
|
| if ( t ) { |
|
| NEXTNM2(mr0,mr,s); C(mr) = (t); |
|
| } else { |
|
| 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; |
|
| p1->sugar = MAX(p1->sugar,p2->sugar); |
|
| FREEND(p2); |
|
| return p1; |
|
| } |
|
| } |
} |
| |
|
| ND nd_mul_nm(ND p,NM m0) |
INLINE int ndl_equal(UINT *d1,UINT *d2) |
| { |
{ |
| NM m,mr,mr0; |
int i; |
| unsigned int *d,*dt,*dm; |
|
| int c,n,td,i,c1,c2; |
|
| int *pt,*p1,*p2; |
|
| ND r; |
|
| |
|
| if ( !p ) |
switch ( nd_wpd ) { |
| return 0; |
case 2: |
| else { |
if ( TD(d2) != TD(d1) ) return 0; |
| n = NV(p); m = BDY(p); |
if ( d2[1] != d1[1] ) return 0; |
| d = m0->dl; td = m0->td; c = C(m0); |
return 1; |
| mr0 = 0; |
break; |
| for ( ; m; m = NEXT(m) ) { |
case 3: |
| NEXTNM(mr0,mr); |
if ( TD(d2) != TD(d1) ) return 0; |
| c1 = C(m); |
if ( d2[1] != d1[1] ) return 0; |
| DMAR(c1,c,0,nd_mod,c2); |
if ( d2[2] != d1[2] ) return 0; |
| C(mr) = c2; |
return 1; |
| mr->td = m->td+td; |
break; |
| ndl_add(m->dl,d,mr->dl); |
default: |
| } |
for ( i = 0; i < nd_wpd; i++ ) |
| NEXT(mr) = 0; |
if ( *d1++ != *d2++ ) return 0; |
| MKND(NV(p),mr0,r); |
return 1; |
| r->sugar = p->sugar + td; |
break; |
| return r; |
} |
| } |
|
| } |
} |
| |
|
| ND nd_mul_term(ND p,int td,unsigned int *d) |
INLINE void ndl_copy(UINT *d1,UINT *d2) |
| { |
{ |
| NM m,mr,mr0; |
int i; |
| int c,n; |
|
| ND r; |
|
| |
|
| if ( !p ) |
switch ( nd_wpd ) { |
| return 0; |
case 2: |
| else { |
TD(d2) = TD(d1); |
| n = NV(p); m = BDY(p); |
d2[1] = d1[1]; |
| for ( mr0 = 0; m; m = NEXT(m) ) { |
break; |
| NEXTNM(mr0,mr); |
case 3: |
| C(mr) = C(m); |
TD(d2) = TD(d1); |
| mr->td = m->td+td; |
d2[1] = d1[1]; |
| ndl_add(m->dl,d,mr->dl); |
d2[2] = d1[2]; |
| } |
break; |
| NEXT(mr) = 0; |
default: |
| MKND(NV(p),mr0,r); |
for ( i = 0; i < nd_wpd; i++ ) |
| r->sugar = p->sugar + td; |
d2[i] = d1[i]; |
| return r; |
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 |
#if 1 |
| /* ret=1 : success, ret=0 : overflow */ |
switch ( nd_wpd ) { |
| int nd_nf(ND g,int full,ND *rp) |
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) |
| { |
{ |
| ND p,d; |
int i; |
| NM m,mrd,tail; |
|
| int n,sugar,psugar,stat; |
if ( nd_module ) { |
| #if USE_NDV |
if ( MPOS(d1) && MPOS(d2) && (MPOS(d1) != MPOS(d2)) ) |
| NDV red; |
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 |
#else |
| ND red; |
for ( i = 0; i < nd_wpd; i++ ) d1[i] += d2[i]; |
| #endif |
#endif |
| |
} |
| |
|
| if ( !g ) { |
INLINE void ndl_sub(UINT *d1,UINT *d2,UINT *d) |
| *rp = 0; |
{ |
| return 1; |
int i; |
| } |
|
| sugar = g->sugar; |
for ( i = 0; i < nd_wpd; i++ ) d[i] = d1[i]-d2[i]; |
| n = NV(g); |
} |
| for ( d = 0; g; ) { |
|
| /* stat=1 : found, stat=0 : not found, stat=-1 : overflow */ |
int ndl_disjoint(UINT *d1,UINT *d2) |
| #if USE_NDV |
{ |
| stat = ndv_find_reducer(g,ndv_red); |
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 |
#else |
| stat = nd_find_reducer(g,&red); |
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 |
#endif |
| if ( stat == 1 ) { |
} |
| #if USE_NDV |
|
| g = ndv_add(g,ndv_red); |
int ndl_check_bound(UINT *d1,UINT *d2) |
| sugar = MAX(sugar,ndv_red->sugar); |
{ |
| |
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 |
#else |
| g = nd_add(g,red); |
for ( i = nd_exporigin; i < nd_wpd; i++ ) { |
| sugar = MAX(sugar,red->sugar); |
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 |
#endif |
| } else if ( stat == -1 ) { |
|
| nd_free(g); |
|
| nd_free(d); |
|
| return 0; |
|
| } else if ( !full ) { |
|
| *rp = g; |
|
| return 1; |
|
| } else { |
|
| m = BDY(g); |
|
| if ( NEXT(m) ) { |
|
| BDY(g) = NEXT(m); NEXT(m) = 0; |
|
| } else { |
|
| FREEND(g); g = 0; |
|
| } |
|
| if ( d ) { |
|
| NEXT(tail)=m; |
|
| tail=m; |
|
| } else { |
|
| MKND(n,m,d); |
|
| tail = BDY(d); |
|
| } |
|
| } |
|
| } |
|
| if ( d ) |
|
| d->sugar = sugar; |
|
| *rp = d; |
|
| return 1; |
|
| } |
} |
| |
|
| |
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 == -2 ) return nd_add_lf(p1,p2); |
| |
else if ( !mod ) return nd_add_q(p1,p2); |
| |
else { |
| |
can = 0; |
| |
for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) { |
| |
c = DL_COMPARE(DL(m1),DL(m2)); |
| |
switch ( c ) { |
| |
case 0: |
| |
t = ((CM(m1))+(CM(m2))) - mod; |
| |
if ( t < 0 ) t += mod; |
| |
s = m1; m1 = NEXT(m1); |
| |
if ( t ) { |
| |
can++; NEXTNM2(mr0,mr,s); CM(mr) = (t); |
| |
} else { |
| |
can += 2; FREENM(s); |
| |
} |
| |
s = m2; m2 = NEXT(m2); FREENM(s); |
| |
break; |
| |
case 1: |
| |
s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s); |
| |
break; |
| |
case -1: |
| |
s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s); |
| |
break; |
| |
} |
| |
} |
| |
if ( !mr0 ) |
| |
if ( m1 ) mr0 = m1; |
| |
else if ( m2 ) mr0 = m2; |
| |
else return 0; |
| |
else if ( m1 ) NEXT(mr) = m1; |
| |
else if ( m2 ) NEXT(mr) = m2; |
| |
else NEXT(mr) = 0; |
| |
BDY(p1) = mr0; |
| |
SG(p1) = MAX(SG(p1),SG(p2)); |
| |
LEN(p1) = LEN(p1)+LEN(p2)-can; |
| |
FREEND(p2); |
| |
return p1; |
| |
} |
| |
} |
| |
|
| |
/* XXX on opteron, the inlined manipulation of destructive additon of |
| |
* two NM seems to make gcc optimizer get confused, so the part is |
| |
* done in a function. |
| |
*/ |
| |
|
| |
int nm_destructive_add_q(NM *m1,NM *m2,NM *mr0,NM *mr) |
| |
{ |
| |
NM s; |
| |
P t; |
| |
int can; |
| |
|
| |
addp(nd_vc,CP(*m1),CP(*m2),&t); |
| |
s = *m1; *m1 = NEXT(*m1); |
| |
if ( t ) { |
| |
can = 1; NEXTNM2(*mr0,*mr,s); CP(*mr) = (t); |
| |
} else { |
| |
can = 2; FREENM(s); |
| |
} |
| |
s = *m2; *m2 = NEXT(*m2); FREENM(s); |
| |
return can; |
| |
} |
| |
|
| |
ND nd_add_q(ND p1,ND p2) |
| |
{ |
| |
int n,c,can; |
| |
ND r; |
| |
NM m1,m2,mr0,mr,s; |
| |
P t; |
| |
|
| |
if ( !p1 ) return p2; |
| |
else if ( !p2 ) return p1; |
| |
else { |
| |
can = 0; |
| |
for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) { |
| |
c = DL_COMPARE(DL(m1),DL(m2)); |
| |
switch ( c ) { |
| |
case 0: |
| |
#if defined(__x86_64__) |
| |
can += nm_destructive_add_q(&m1,&m2,&mr0,&mr); |
| #else |
#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 == -2 ) { |
| |
GZ inv,t; |
| |
divlf(ONEGZ,HCZ(p),&inv); |
| |
chsgnlf(HCZ(g),&t); |
| |
mullf(inv,t,&CZ(mul)); |
| |
*divp = (Obj)ONE; |
| |
} else if ( mod ) { |
| |
c1 = invm(HCM(p),mod); c2 = mod-HCM(g); |
| |
DMAR(c1,c2,0,mod,c); CM(mul) = c; |
| |
*divp = (Obj)ONE; |
| |
} else if ( nd_vc ) { |
| |
ezgcdpz(nd_vc,HCP(g),HCP(p),&gcdp); |
| |
divsp(nd_vc,HCP(g),gcdp,&cgp); divsp(nd_vc,HCP(p),gcdp,&credp); |
| |
chsgnp(cgp,&CP(mul)); |
| |
nd_mul_c_q(d,credp); nd_mul_c_q(g,credp); |
| |
if ( dn ) { |
| |
mulr(nd_vc,(Obj)dn->r,(Obj)credp,&tr); |
| |
reductr(nd_vc,tr,&tr1); dn->r = (R)tr1; |
| |
} |
| |
*divp = (Obj)credp; |
| |
} else { |
| |
igcd_cofactor(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)MALLOC(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT)); |
| |
if ( d ) |
| |
for ( tail = BDY(d); NEXT(tail); tail = NEXT(tail) ); |
| |
for ( ; g; ) { |
| |
index = ndl_find_reducer(HDL(g)); |
| |
if ( index >= 0 ) { |
| |
h = nd_psh[index]; |
| |
ndl_sub(HDL(g),DL(h),DL(mul)); |
| |
if ( ndl_check_bound2(index,DL(mul)) ) { |
| |
nd_free(g); nd_free(d); |
| |
return 0; |
| |
} |
| |
p = nd_demand ? ndv_load(index) : ps[index]; |
| |
/* d+g -> div*(d+g)+mul*p */ |
| |
g = nd_reduce2(mod,d,g,p,mul,dn,&div); |
| |
if ( nd_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 && !nd_vc && ((double)(p_mag(HCP(g))) > hmag) ) { |
| |
hg = HCU(g); |
| |
nd_removecont2(d,g); |
| |
if ( dn || nd_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 ( nd_gentrace && !UNIQ(cont) ) ARG3(node) = (pointer)cont; |
| |
} |
| |
hmag = ((double)p_mag(HCP(g)))*nd_scale; |
| |
} |
| |
MKLIST(hist,node); |
| |
MKNODE(node,hist,nd_tracelist); nd_tracelist = node; |
| |
} else if ( !full ) { |
| |
*rp = g; |
| |
return 1; |
| |
} else { |
| |
m = BDY(g); |
| |
if ( NEXT(m) ) { |
| |
BDY(g) = NEXT(m); NEXT(m) = 0; LEN(g)--; |
| |
} else { |
| |
FREEND(g); g = 0; |
| |
} |
| |
if ( d ) { |
| |
NEXT(tail)=m; tail=m; LEN(d)++; |
| |
} else { |
| |
MKND(n,m,1,d); tail = BDY(d); |
| |
} |
| |
} |
| |
} |
| |
if ( d ) SG(d) = sugar; |
| |
*rp = d; |
| |
return 1; |
| |
} |
| |
|
| |
int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *rp) |
| |
{ |
| |
int hindex,index; |
| |
NDV p; |
| |
ND u,d,red; |
| |
NODE l; |
| |
NM mul,m,mrd,tail; |
| |
int sugar,psugar,n,h_reducible; |
| |
PGeoBucket bucket; |
| |
int c,c1,c2; |
| |
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)MALLOC(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT)); |
| |
while ( 1 ) { |
| |
if ( mod > 0 || mod == -1 ) |
| |
hindex = head_pbucket(mod,bucket); |
| |
else if ( mod == -2 ) |
| |
hindex = head_pbucket_lf(bucket); |
| |
else |
| |
hindex = head_pbucket_q(bucket); |
| |
if ( hindex < 0 ) { |
| |
if ( DP_Print > 3 ) printf("(%d %d)",count,hcount); |
| |
if ( d ) SG(d) = sugar; |
| |
*rp = d; |
| |
return 1; |
| |
} |
| |
g = bucket->body[hindex]; |
| |
index = ndl_find_reducer(HDL(g)); |
| |
if ( index >= 0 ) { |
| |
count++; |
| |
if ( !d ) hcount++; |
| |
h = nd_psh[index]; |
| |
ndl_sub(HDL(g),DL(h),DL(mul)); |
| |
if ( ndl_check_bound2(index,DL(mul)) ) { |
| |
nd_free(d); |
| |
free_pbucket(bucket); |
| |
*rp = 0; |
| |
return 0; |
| |
} |
| |
p = ps[index]; |
| |
if ( mod == -1 ) |
| |
CM(mul) = _mulsf(_invsf(HCM(p)),_chsgnsf(HCM(g))); |
| |
else if ( mod == -2 ) { |
| |
GZ inv,t; |
| |
divlf(ONEGZ,HCZ(p),&inv); |
| |
chsgnlf(HCZ(g),&t); |
| |
mullf(inv,t,&CZ(mul)); |
| |
} else if ( mod ) { |
| |
c1 = invm(HCM(p),mod); c2 = mod-HCM(g); |
| |
DMAR(c1,c2,0,mod,c); CM(mul) = c; |
| |
} else { |
| |
igcd_cofactor(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,nd_gentrace?1:0,1); |
| |
n = length(cand); |
| |
|
| |
if ( nd_gentrace ) { nd_alltracelist = 0; nd_tracelist = 0; } |
| |
/* membercheck : list is a subset of Id(cand) ? */ |
| |
for ( t = input, i = 0; t; t = NEXT(t), i++ ) { |
| |
again: |
| |
nd_tracelist = 0; |
| |
if ( nd_bpe > obpe ) |
| |
r = ndv_dup_realloc((NDV)BDY(t),obpe,oadv,oepos); |
| |
else |
| |
r = (NDV)BDY(t); |
| |
if ( m ) ndv_mod(m,r); |
| |
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 ( nd_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) |
ND nd_remove_head(ND p) |
| { |
{ |
| NM m; |
NM m; |
| |
|
| m = BDY(p); |
m = BDY(p); |
| if ( !NEXT(m) ) { |
if ( !NEXT(m) ) { |
| FREEND(p); |
FREEND(p); p = 0; |
| p = 0; |
} else { |
| } else |
BDY(p) = NEXT(m); LEN(p)--; |
| BDY(p) = NEXT(m); |
} |
| FREENM(m); |
FREENM(m); |
| return p; |
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 create_pbucket() |
| { |
{ |
| PGeoBucket g; |
PGeoBucket g; |
| |
|
| g = CALLOC(1,sizeof(struct oPGeoBucket)); |
g = CALLOC(1,sizeof(struct oPGeoBucket)); |
| g->m = -1; |
g->m = -1; |
| return g; |
return g; |
| } |
} |
| |
|
| void add_pbucket(PGeoBucket g,ND d) |
void free_pbucket(PGeoBucket b) { |
| |
int i; |
| |
|
| |
for ( i = 0; i <= b->m; i++ ) |
| |
if ( b->body[i] ) { |
| |
nd_free(b->body[i]); |
| |
b->body[i] = 0; |
| |
} |
| |
GCFREE(b); |
| |
} |
| |
|
| |
void add_pbucket_symbolic(PGeoBucket g,ND d) |
| { |
{ |
| int l,k,m; |
int l,i,k,m; |
| |
|
| l = nd_length(d); |
if ( !d ) |
| for ( k = 0, m = 1; l > m; k++, m <<= 2 ); |
return; |
| /* 4^(k-1) < l <= 4^k */ |
l = LEN(d); |
| d = nd_add(g->body[k],d); |
for ( k = 0, m = 1; l > m; k++, m <<= 1 ); |
| for ( ; d && nd_length(d) > 1<<(2*k); k++ ) { |
/* 2^(k-1) < l <= 2^k (=m) */ |
| g->body[k] = 0; |
d = nd_merge(g->body[k],d); |
| d = nd_add(g->body[k+1],d); |
for ( ; d && LEN(d) > m; k++, m <<= 1 ) { |
| } |
g->body[k] = 0; |
| g->body[k] = d; |
d = nd_merge(g->body[k+1],d); |
| g->m = MAX(g->m,k); |
} |
| |
g->body[k] = d; |
| |
g->m = MAX(g->m,k); |
| } |
} |
| |
|
| int head_pbucket(PGeoBucket g) |
void add_pbucket(int mod,PGeoBucket g,ND d) |
| { |
{ |
| int j,i,c,k,nv,sum; |
int l,i,k,m; |
| unsigned int *di,*dj; |
|
| ND gi,gj; |
|
| |
|
| k = g->m; |
if ( !d ) |
| while ( 1 ) { |
return; |
| j = -1; |
l = LEN(d); |
| for ( i = 0; i <= k; i++ ) { |
for ( k = 0, m = 1; l > m; k++, m <<= 1 ); |
| if ( !(gi = g->body[i]) ) |
/* 2^(k-1) < l <= 2^k (=m) */ |
| continue; |
d = nd_add(mod,g->body[k],d); |
| if ( j < 0 ) { |
for ( ; d && LEN(d) > m; k++, m <<= 1 ) { |
| j = i; |
g->body[k] = 0; |
| gj = g->body[j]; |
d = nd_add(mod,g->body[k+1],d); |
| dj = HDL(gj); |
} |
| sum = HC(gj); |
g->body[k] = d; |
| } else { |
g->m = MAX(g->m,k); |
| di = HDL(gi); |
|
| nv = NV(gi); |
|
| if ( HTD(gi) > HTD(gj) ) |
|
| c = 1; |
|
| else if ( HTD(gi) < HTD(gj) ) |
|
| c = -1; |
|
| else |
|
| c = ndl_compare(di,dj); |
|
| if ( c > 0 ) { |
|
| if ( sum ) |
|
| HC(gj) = sum; |
|
| else |
|
| g->body[j] = nd_remove_head(gj); |
|
| j = i; |
|
| gj = g->body[j]; |
|
| dj = HDL(gj); |
|
| sum = HC(gj); |
|
| } else if ( c == 0 ) { |
|
| sum = sum+HC(gi)-nd_mod; |
|
| if ( sum < 0 ) |
|
| sum += nd_mod; |
|
| g->body[i] = nd_remove_head(gi); |
|
| } |
|
| } |
|
| } |
|
| if ( j < 0 ) |
|
| return -1; |
|
| else if ( sum ) { |
|
| HC(gj) = sum; |
|
| return j; |
|
| } else |
|
| g->body[j] = nd_remove_head(gj); |
|
| } |
|
| } |
} |
| |
|
| ND normalize_pbucket(PGeoBucket g) |
void mulq_pbucket(PGeoBucket g,Q c) |
| { |
{ |
| int i; |
int k; |
| ND r,t; |
|
| |
|
| r = 0; |
for ( k = 0; k <= g->m; k++ ) |
| for ( i = 0; i <= g->m; i++ ) |
nd_mul_c_q(g->body[k],(P)c); |
| r = nd_add(r,g->body[i]); |
|
| return r; |
|
| } |
} |
| |
|
| ND nd_nf(ND g,int full) |
NM remove_head_pbucket_symbolic(PGeoBucket g) |
| { |
{ |
| ND u,p,d,red; |
int j,i,k,c; |
| NODE l; |
NM head; |
| NM m,mrd; |
|
| int sugar,psugar,n,h_reducible,h; |
k = g->m; |
| PGeoBucket bucket; |
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; |
| |
} |
| |
} |
| |
|
| if ( !g ) { |
int head_pbucket(int mod,PGeoBucket g) |
| return 0; |
{ |
| |
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); |
| |
} |
| |
} |
| |
|
| |
int head_pbucket_lf(PGeoBucket g) |
| |
{ |
| |
int j,i,c,k,nv; |
| |
GZ sum,t; |
| |
ND gi,gj; |
| |
|
| |
k = g->m; |
| |
while ( 1 ) { |
| |
j = -1; |
| |
for ( i = 0; i <= k; i++ ) { |
| |
if ( !(gi = g->body[i]) ) continue; |
| |
if ( j < 0 ) { |
| |
j = i; |
| |
gj = g->body[j]; |
| |
sum = HCZ(gj); |
| |
} else { |
| |
nv = NV(gi); |
| |
c = DL_COMPARE(HDL(gi),HDL(gj)); |
| |
if ( c > 0 ) { |
| |
if ( sum ) HCZ(gj) = sum; |
| |
else g->body[j] = nd_remove_head(gj); |
| |
j = i; |
| |
gj = g->body[j]; |
| |
sum = HCZ(gj); |
| |
} else if ( c == 0 ) { |
| |
addlf(sum,HCZ(gi),&t); |
| |
sum = t; |
| |
g->body[i] = nd_remove_head(gi); |
| |
} |
| |
} |
| |
} |
| |
if ( j < 0 ) return -1; |
| |
else if ( sum ) { |
| |
HCZ(gj) = sum; |
| |
return j; |
| |
} else |
| |
g->body[j] = nd_remove_head(gj); |
| |
} |
| |
} |
| |
|
| |
ND normalize_pbucket(int mod,PGeoBucket g) |
| |
{ |
| |
int i; |
| |
ND r,t; |
| |
|
| |
r = 0; |
| |
for ( i = 0; i <= g->m; i++ ) { |
| |
r = nd_add(mod,r,g->body[i]); |
| |
g->body[i] = 0; |
| |
} |
| |
g->m = -1; |
| |
return r; |
| |
} |
| |
|
| |
#if 0 |
| |
void register_hcf(NDV p) |
| |
{ |
| |
DCP dc,t; |
| |
P hc,h; |
| |
int c; |
| |
NODE l,l1,prev; |
| |
|
| |
hc = p->body->c.p; |
| |
if ( !nd_vc || NUM(hc) ) return; |
| |
fctrp(nd_vc,hc,&dc); |
| |
for ( t = dc; t; t = NEXT(t) ) { |
| |
h = t->c; |
| |
if ( NUM(h) ) continue; |
| |
for ( prev = 0, l = nd_hcf; l; prev = l, l = NEXT(l) ) { |
| |
c = compp(nd_vc,h,(P)BDY(l)); |
| |
if ( c >= 0 ) break; |
| |
} |
| |
if ( !l || c > 0 ) { |
| |
MKNODE(l1,h,l); |
| |
if ( !prev ) |
| |
nd_hcf = l1; |
| |
else |
| |
NEXT(prev) = l1; |
| |
} |
| |
} |
| |
} |
| |
#else |
| |
void register_hcf(NDV p) |
| |
{ |
| |
DCP dc,t; |
| |
P hc,h,q; |
| |
Q dmy; |
| |
int c; |
| |
NODE l,l1,prev; |
| |
|
| |
hc = p->body->c.p; |
| |
if ( NUM(hc) ) return; |
| |
ptozp(hc,1,&dmy,&h); |
| |
#if 1 |
| |
for ( l = nd_hcf; l; l = NEXT(l) ) { |
| |
while ( 1 ) { |
| |
if ( divtpz(nd_vc,h,(P)BDY(l),&q) ) h = q; |
| |
else break; |
| |
} |
| |
} |
| |
if ( NUM(h) ) return; |
| |
#endif |
| |
for ( prev = 0, l = nd_hcf; l; prev = l, l = NEXT(l) ) { |
| |
c = compp(nd_vc,h,(P)BDY(l)); |
| |
if ( c >= 0 ) break; |
| |
} |
| |
if ( !l || c > 0 ) { |
| |
MKNODE(l1,h,l); |
| |
if ( !prev ) |
| |
nd_hcf = l1; |
| |
else |
| |
NEXT(prev) = l1; |
| |
} |
| |
} |
| |
#endif |
| |
|
| |
int do_diagonalize(int sugar,int m) |
| |
{ |
| |
int i,nh,stat; |
| |
NODE r,g,t; |
| |
ND h,nf,s,head; |
| |
NDV nfv; |
| |
Q q,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 ( nd_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 ( nd_gentrace ) finalize_tracelist(i,cont); |
| |
nfv = ndtondv(m,nf); |
| |
nd_free(nf); |
| |
nd_bound[i] = ndv_compute_bound(nfv); |
| |
if ( !m ) register_hcf(nfv); |
| |
if ( nd_demand ) { |
| |
ndv_save(nfv,i); |
| |
ndv_free(nfv); |
| |
} else |
| |
nd_ps[i] = nfv; |
| |
} |
| |
return 1; |
| |
} |
| |
|
| |
LIST compute_splist() |
| |
{ |
| |
NODE g,tn0,tn,node; |
| |
LIST l0; |
| |
ND_pairs d,t; |
| |
int i; |
| |
Q i1,i2; |
| |
|
| |
g = 0; d = 0; |
| |
for ( i = 0; i < nd_psn; i++ ) { |
| |
d = update_pairs(d,g,i,0); |
| |
g = update_base(g,i); |
| |
} |
| |
for ( t = d, tn0 = 0; t; t = NEXT(t) ) { |
| |
NEXTNODE(tn0,tn); |
| |
STOQ(t->i1,i1); STOQ(t->i2,i2); |
| |
node = mknode(2,i1,i2); MKLIST(l0,node); |
| |
BDY(tn) = l0; |
| } |
} |
| sugar = g->sugar; |
if ( tn0 ) NEXT(tn) = 0; MKLIST(l0,tn0); |
| n = g->nv; |
return l0; |
| bucket = create_pbucket(); |
} |
| add_pbucket(bucket,g); |
|
| d = 0; |
/* return value = 0 => input is not a GB */ |
| while ( 1 ) { |
|
| h = head_pbucket(bucket); |
NODE nd_gb(int m,int ishomo,int checkonly,int gensyz,int **indp) |
| if ( h < 0 ) { |
{ |
| if ( d ) |
int i,nh,sugar,stat; |
| d->sugar = sugar; |
NODE r,g,t; |
| return d; |
ND_pairs d; |
| } |
ND_pairs l; |
| g = bucket->body[h]; |
ND h,nf,s,head,nf1; |
| red = nd_find_reducer(g); |
NDV nfv; |
| if ( red ) { |
Q q,num,den; |
| bucket->body[h] = nd_remove_head(g); |
union oNDC dn,hc; |
| red = nd_remove_head(red); |
int diag_count = 0; |
| add_pbucket(bucket,red); |
P cont; |
| sugar = MAX(sugar,red->sugar); |
LIST list; |
| } else if ( !full ) { |
|
| g = normalize_pbucket(bucket); |
g = 0; d = 0; |
| if ( g ) |
for ( i = 0; i < nd_psn; i++ ) { |
| g->sugar = sugar; |
d = update_pairs(d,g,i,gensyz); |
| return g; |
g = update_base(g,i); |
| } else { |
} |
| m = BDY(g); |
sugar = 0; |
| if ( NEXT(m) ) { |
while ( d ) { |
| BDY(g) = NEXT(m); NEXT(m) = 0; |
again: |
| } else { |
l = nd_minp(d,&d); |
| FREEND(g); g = 0; |
if ( MaxDeg > 0 && SG(l) > MaxDeg ) break; |
| |
if ( SG(l) != sugar ) { |
| |
if ( ishomo ) { |
| |
diag_count = 0; |
| |
stat = do_diagonalize(sugar,m); |
| |
if ( !stat ) { |
| |
NEXT(l) = d; d = l; |
| |
d = nd_reconstruct(0,d); |
| |
goto again; |
| |
} |
| |
} |
| |
sugar = SG(l); |
| |
if ( DP_Print ) fprintf(asir_out,"%d",sugar); |
| |
} |
| |
stat = nd_sp(m,0,l,&h); |
| |
if ( !stat ) { |
| |
NEXT(l) = d; d = l; |
| |
d = nd_reconstruct(0,d); |
| |
goto again; |
| |
} |
| |
#if USE_GEOBUCKET |
| |
stat = (m&&!nd_gentrace)?nd_nf_pbucket(m,h,nd_ps,!Top,&nf) |
| |
:nd_nf(m,0,h,nd_ps,!Top,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 ( nd_newelim ) { |
| |
if ( nd_module ) { |
| |
if ( MPOS(HDL(nf)) > 1 ) return 0; |
| |
} else if ( !(HDL(nf)[nd_exporigin] & nd_mask[0]) ) return 0; |
| } |
} |
| bucket->body[h] = g; |
if ( DP_Print ) { printf("+"); fflush(stdout); } |
| NEXT(m) = 0; |
hc = HCU(nf); |
| if ( d ) { |
nd_removecont(m,nf); |
| for ( mrd = BDY(d); NEXT(mrd); mrd = NEXT(mrd) ); |
if ( !m && nd_nalg ) { |
| NEXT(mrd) = m; |
nd_monic(0,&nf); |
| } else { |
nd_removecont(m,nf); |
| MKND(n,m,d); |
} |
| |
if ( nd_gentrace ) { |
| |
cont = ndc_div(m,hc,HCU(nf)); |
| |
if ( m || !UNIQ(cont) ) { |
| |
t = mknode(4,NULLP,NULLP,NULLP,cont); |
| |
MKLIST(list,t); MKNODE(t,list,nd_tracelist); |
| |
nd_tracelist = t; |
| |
} |
| |
} |
| |
nfv = ndtondv(m,nf); nd_free(nf); |
| |
nh = ndv_newps(m,nfv,0,0); |
| |
if ( !m && (ishomo && ++diag_count == diag_period) ) { |
| |
diag_count = 0; |
| |
stat = do_diagonalize(sugar,m); |
| |
if ( !stat ) { |
| |
NEXT(l) = d; d = l; |
| |
d = nd_reconstruct(1,d); |
| |
goto again; |
| |
} |
| |
} |
| |
d = update_pairs(d,g,nh,0); |
| |
g = update_base(g,nh); |
| |
FREENDP(l); |
| |
} else { |
| |
if ( nd_gentrace && gensyz ) { |
| |
nd_tracelist = reverse_node(nd_tracelist); |
| |
MKLIST(list,nd_tracelist); |
| |
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; |
| } |
} |
| #endif |
|
| |
|
| NODE nd_gb(NODE f) |
/* splist = [[i1,i2],...] */ |
| |
|
| |
int check_splist(int m,NODE splist) |
| { |
{ |
| int i,nh,sugar,stat; |
NODE t,p; |
| NODE r,g,gall; |
ND_pairs d,r,l; |
| ND_pairs d; |
int stat; |
| ND_pairs l; |
|
| ND h,nf; |
ND h,nf; |
| |
|
| for ( gall = g = 0, d = 0, r = f; r; r = NEXT(r) ) { |
for ( d = 0, t = splist; t; t = NEXT(t) ) { |
| i = (int)BDY(r); |
p = BDY((LIST)BDY(t)); |
| d = update_pairs(d,g,i); |
NEXTND_pairs(d,r); |
| g = update_base(g,i); |
r->i1 = QTOS((Q)ARG0(p)); r->i2 = QTOS((Q)ARG1(p)); |
| gall = append_one(gall,i); |
ndl_lcm(DL(nd_psh[r->i1]),DL(nd_psh[r->i2]),r->lcm); |
| |
SG(r) = TD(LCM(r)); /* XXX */ |
| } |
} |
| sugar = 0; |
if ( d ) NEXT(r) = 0; |
| while ( d ) { |
|
| |
while ( d ) { |
| again: |
again: |
| l = nd_minp(d,&d); |
l = nd_minp(d,&d); |
| if ( l->sugar != sugar ) { |
stat = nd_sp(m,0,l,&h); |
| sugar = l->sugar; |
if ( !stat ) { |
| fprintf(asir_out,"%d",sugar); |
NEXT(l) = d; d = l; |
| } |
d = nd_reconstruct(0,d); |
| stat = nd_sp(l,&h); |
goto again; |
| if ( !stat ) { |
} |
| NEXT(l) = d; d = l; |
stat = nd_nf(m,0,h,nd_ps,!Top,0,&nf); |
| d = nd_reconstruct(d); |
if ( !stat ) { |
| goto again; |
NEXT(l) = d; d = l; |
| } |
d = nd_reconstruct(0,d); |
| stat = nd_nf(h,!Top,&nf); |
goto again; |
| if ( !stat ) { |
} else if ( nf ) return 0; |
| NEXT(l) = d; d = l; |
if ( DP_Print) { printf("."); fflush(stdout); } |
| d = nd_reconstruct(d); |
} |
| goto again; |
if ( DP_Print) { printf("done.\n"); fflush(stdout); } |
| } else if ( nf ) { |
return 1; |
| printf("+"); fflush(stdout); |
} |
| nh = nd_newps(nf); |
|
| d = update_pairs(d,g,nh); |
int check_splist_f4(int m,NODE splist) |
| g = update_base(g,nh); |
{ |
| gall = append_one(gall,nh); |
UINT *s0vect; |
| FREENDP(l); |
PGeoBucket bucket; |
| } else { |
NODE p,rp0,t; |
| printf("."); fflush(stdout); |
ND_pairs d,r,l,ll; |
| FREENDP(l); |
int col,stat; |
| } |
|
| |
for ( d = 0, t = splist; t; t = NEXT(t) ) { |
| |
p = BDY((LIST)BDY(t)); |
| |
NEXTND_pairs(d,r); |
| |
r->i1 = QTOS((Q)ARG0(p)); r->i2 = QTOS((Q)ARG1(p)); |
| |
ndl_lcm(DL(nd_psh[r->i1]),DL(nd_psh[r->i2]),r->lcm); |
| |
SG(r) = TD(LCM(r)); /* XXX */ |
| } |
} |
| return g; |
if ( d ) NEXT(r) = 0; |
| |
|
| |
while ( d ) { |
| |
l = nd_minsugarp(d,&d); |
| |
bucket = create_pbucket(); |
| |
stat = nd_sp_f4(m,0,l,bucket); |
| |
if ( !stat ) { |
| |
for ( ll = l; NEXT(ll); ll = NEXT(ll) ); |
| |
NEXT(ll) = d; d = l; |
| |
d = nd_reconstruct(0,d); |
| |
continue; |
| |
} |
| |
if ( bucket->m < 0 ) continue; |
| |
col = nd_symbolic_preproc(bucket,0,&s0vect,&rp0); |
| |
if ( !col ) { |
| |
for ( ll = l; NEXT(ll); ll = NEXT(ll) ); |
| |
NEXT(ll) = d; d = l; |
| |
d = nd_reconstruct(0,d); |
| |
continue; |
| |
} |
| |
if ( nd_f4_red(m,l,0,s0vect,col,rp0,0) ) return 0; |
| |
} |
| |
return 1; |
| } |
} |
| |
|
| ND_pairs update_pairs( ND_pairs d, NODE /* of index */ g, int t) |
int do_diagonalize_trace(int sugar,int m) |
| { |
{ |
| ND_pairs d1,nd,cur,head,prev,remove; |
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; |
| |
|
| if ( !g ) return d; |
for ( i = nd_psn-1; i >= 0 && SG(nd_psh[i]) == sugar; i-- ) { |
| d = crit_B(d,t); |
if ( nd_gentrace ) { |
| d1 = nd_newpairs(g,t); |
/* Trace = [1,index,1,1] */ |
| d1 = crit_M(d1); |
STOQ(i,iq); node = mknode(4,ONE,iq,ONE,ONE); |
| d1 = crit_F(d1); |
MKLIST(l,node); MKNODE(nd_tracelist,l,0); |
| prev = 0; cur = head = d1; |
} |
| while ( cur ) { |
/* for nd_ps */ |
| if ( crit_2( cur->i1,cur->i2 ) ) { |
s = ndvtond(m,nd_ps[i]); |
| remove = cur; |
s = nd_separate_head(s,&head); |
| if ( !prev ) { |
stat = nd_nf_pbucket(m,s,nd_ps,1,&nf); |
| head = cur = NEXT(cur); |
if ( !stat ) return 0; |
| } else { |
nf = nd_add(m,head,nf); |
| cur = NEXT(prev) = NEXT(cur); |
ndv_free(nd_ps[i]); |
| } |
nd_ps[i] = ndtondv(m,nf); |
| FREENDP(remove); |
nd_free(nf); |
| } else { |
|
| prev = cur; |
/* for nd_ps_trace */ |
| cur = NEXT(cur); |
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 ( nd_gentrace ) finalize_tracelist(i,cont); |
| |
nfv = ndtondv(0,nf); |
| |
nd_free(nf); |
| |
nd_bound[i] = ndv_compute_bound(nfv); |
| |
register_hcf(nfv); |
| |
if ( nd_demand ) { |
| |
ndv_save(nfv,i); |
| |
ndv_free(nfv); |
| |
} else |
| |
nd_ps_trace[i] = nfv; |
| |
} |
| |
return 1; |
| |
} |
| |
|
| |
static struct oEGT eg_invdalg; |
| |
struct oEGT eg_le; |
| |
|
| |
void nd_subst_vector(VL vl,P p,NODE subst,P *r) |
| |
{ |
| |
NODE tn; |
| |
P p1; |
| |
|
| |
for ( tn = subst; tn; tn = NEXT(NEXT(tn)) ) { |
| |
substp(vl,p,BDY(tn),BDY(NEXT(tn)),&p1); p = p1; |
| |
} |
| |
*r = p; |
| |
} |
| |
|
| |
NODE nd_gb_trace(int m,int ishomo,int **indp) |
| |
{ |
| |
int i,nh,sugar,stat; |
| |
NODE r,g,t; |
| |
ND_pairs d; |
| |
ND_pairs l; |
| |
ND h,nf,nfq,s,head; |
| |
NDV nfv,nfqv; |
| |
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 ( MaxDeg > 0 && SG(l) > MaxDeg ) break; |
| |
if ( SG(l) != sugar ) { |
| |
#if 1 |
| |
if ( ishomo ) { |
| |
if ( DP_Print > 2 ) fprintf(asir_out,"|"); |
| |
stat = do_diagonalize_trace(sugar,m); |
| |
if ( DP_Print > 2 ) fprintf(asir_out,"|"); |
| |
diag_count = 0; |
| |
if ( !stat ) { |
| |
NEXT(l) = d; d = l; |
| |
d = nd_reconstruct(1,d); |
| |
goto again; |
| |
} |
| |
} |
| |
#endif |
| |
sugar = SG(l); |
| |
if ( DP_Print ) fprintf(asir_out,"%d",sugar); |
| |
} |
| |
stat = nd_sp(m,0,l,&h); |
| |
if ( !stat ) { |
| |
NEXT(l) = d; d = l; |
| |
d = nd_reconstruct(1,d); |
| |
goto again; |
| |
} |
| |
#if USE_GEOBUCKET |
| |
stat = nd_nf_pbucket(m,h,nd_ps,!Top,&nf); |
| |
#else |
| |
stat = nd_nf(m,0,h,nd_ps,!Top,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 ( nd_gentrace ) { |
| |
cont = ndc_div(0,hnfq,HCU(nfqv)); |
| |
if ( !UNIQ(cont) ) { |
| |
t = mknode(4,NULLP,NULLP,NULLP,cont); |
| |
MKLIST(list,t); MKNODE(t,list,nd_tracelist); |
| |
nd_tracelist = t; |
| |
} |
| |
} |
| |
nh = ndv_newps(0,nfv,nfqv,0); |
| |
if ( ishomo && ++diag_count == diag_period ) { |
| |
diag_count = 0; |
| |
if ( DP_Print > 2 ) fprintf(asir_out,"|"); |
| |
stat = do_diagonalize_trace(sugar,m); |
| |
if ( DP_Print > 2 ) fprintf(asir_out,"|"); |
| |
if ( !stat ) { |
| |
NEXT(l) = d; d = l; |
| |
d = nd_reconstruct(1,d); |
| |
goto again; |
| |
} |
| |
} |
| |
d = update_pairs(d,g,nh,0); |
| |
g = update_base(g,nh); |
| |
} else { |
| |
if ( DP_Print ) { printf("*"); fflush(stdout); } |
| |
} |
| |
} else { |
| |
if ( DP_Print ) { printf("."); fflush(stdout); } |
| |
} |
| |
FREENDP(l); |
| |
} |
| |
if ( nd_nalg ) { |
| |
if ( DP_Print ) { |
| |
print_eg("monic",&eg_monic); |
| |
print_eg("invdalg",&eg_invdalg); |
| |
print_eg("le",&eg_le); |
| |
} |
| |
} |
| |
conv_ilist(nd_demand,1,g,indp); |
| |
if ( DP_Print ) { printf("nd_gb_trace done.\n"); fflush(stdout); } |
| |
return g; |
| |
} |
| |
|
| |
int ndv_compare(NDV *p1,NDV *p2) |
| |
{ |
| |
return DL_COMPARE(HDL(*p1),HDL(*p2)); |
| |
} |
| |
|
| |
int ndv_compare_rev(NDV *p1,NDV *p2) |
| |
{ |
| |
return -DL_COMPARE(HDL(*p1),HDL(*p2)); |
| |
} |
| |
|
| |
int ndvi_compare(NDVI p1,NDVI p2) |
| |
{ |
| |
return DL_COMPARE(HDL(p1->p),HDL(p2->p)); |
| |
} |
| |
|
| |
int ndvi_compare_rev(NDVI p1,NDVI p2) |
| |
{ |
| |
return -DL_COMPARE(HDL(p1->p),HDL(p2->p)); |
| |
} |
| |
|
| |
NODE ndv_reduceall(int m,NODE f) |
| |
{ |
| |
int i,j,n,stat; |
| |
ND nf,g,head; |
| |
NODE t,a0,a; |
| |
union oNDC dn; |
| |
Q q,num,den; |
| |
NODE node; |
| |
LIST l; |
| |
Q iq,jq; |
| |
int *perm; |
| |
union oNDC hc; |
| |
P cont,cont1; |
| |
|
| |
if ( nd_nora ) return f; |
| |
n = length(f); |
| |
ndv_setup(m,0,f,0,1); |
| |
perm = (int *)MALLOC(n*sizeof(int)); |
| |
if ( nd_gentrace ) { |
| |
for ( t = nd_tracelist, i = 0; i < n; i++, t = NEXT(t) ) |
| |
perm[i] = QTOS((Q)ARG1(BDY((LIST)BDY(t)))); |
| } |
} |
| if ( !d ) |
for ( i = 0; i < n; ) { |
| return head; |
if ( nd_gentrace ) { |
| else { |
/* Trace = [1,index,1,1] */ |
| nd = d; |
STOQ(i,iq); node = mknode(4,ONE,iq,ONE,ONE); |
| while ( NEXT(nd) ) |
MKLIST(l,node); MKNODE(nd_tracelist,l,0); |
| nd = NEXT(nd); |
} |
| NEXT(nd) = head; |
g = ndvtond(m,nd_ps[i]); |
| return d; |
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 ( nd_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 ( !nd_gentrace ) BDY(a) = (pointer)nd_ps[i]; |
| |
else { |
| |
for ( j = 0; j < n; j++ ) if ( perm[j] == i ) break; |
| |
BDY(a) = (pointer)nd_ps[j]; |
| |
} |
| |
} |
| |
NEXT(a) = 0; |
| |
return a0; |
| } |
} |
| |
|
| ND_pairs nd_newpairs( NODE g, int t ) |
ND_pairs update_pairs( ND_pairs d, NODE /* of index */ g, int t, int gensyz) |
| { |
{ |
| NODE h; |
ND_pairs d1,nd,cur,head,prev,remove; |
| unsigned int *dl; |
|
| int td,ts,s; |
|
| ND_pairs r,r0; |
|
| |
|
| dl = HDL(nd_ps[t]); |
if ( !g ) return d; |
| td = HTD(nd_ps[t]); |
/* for testing */ |
| ts = nd_ps[t]->sugar - td; |
if ( gensyz && nd_gensyz == 2 ) { |
| for ( r0 = 0, h = g; h; h = NEXT(h) ) { |
d1 = nd_newpairs(g,t); |
| NEXTND_pairs(r0,r); |
if ( !d ) |
| r->i1 = (int)BDY(h); |
return d1; |
| r->i2 = t; |
else { |
| ndl_lcm(HDL(nd_ps[r->i1]),dl,r->lcm); |
nd = d; |
| r->td = ndl_td(r->lcm); |
while ( NEXT(nd) ) nd = NEXT(nd); |
| s = nd_ps[r->i1]->sugar-HTD(nd_ps[r->i1]); |
NEXT(nd) = d1; |
| r->sugar = MAX(s,ts) + r->td; |
return d; |
| |
} |
| } |
} |
| NEXT(r) = 0; |
d = crit_B(d,t); |
| return r0; |
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 crit_B( ND_pairs d, int s ) |
|
| |
ND_pairs nd_newpairs( NODE g, int t ) |
| { |
{ |
| ND_pairs cur,head,prev,remove; |
NODE h; |
| unsigned int *t,*tl,*lcm; |
UINT *dl; |
| int td,tdl; |
int ts,s,i,t0,min,max; |
| |
ND_pairs r,r0; |
| |
|
| if ( !d ) return 0; |
dl = DL(nd_psh[t]); |
| t = HDL(nd_ps[s]); |
ts = SG(nd_psh[t]) - TD(dl); |
| prev = 0; |
if ( nd_module && nd_intersect && (MPOS(dl) > 1) ) return 0; |
| head = cur = d; |
for ( r0 = 0, h = g; h; h = NEXT(h) ) { |
| lcm = (unsigned int *)ALLOCA(nd_wpd*sizeof(unsigned int)); |
if ( nd_module && (MPOS(DL(nd_psh[(long)BDY(h)])) != MPOS(dl)) ) |
| while ( cur ) { |
continue; |
| tl = cur->lcm; |
if ( nd_gbblock ) { |
| if ( ndl_reducible(tl,t) |
t0 = (long)BDY(h); |
| && (ndl_lcm(HDL(nd_ps[cur->i1]),t,lcm),!ndl_equal(lcm,tl)) |
for ( i = 0; nd_gbblock[i] >= 0; i += 2 ) { |
| && (ndl_lcm(HDL(nd_ps[cur->i2]),t,lcm),!ndl_equal(lcm,tl)) ) { |
min = nd_gbblock[i]; max = nd_gbblock[i+1]; |
| remove = cur; |
if ( t0 >= min && t0 <= max && t >= min && t <= max ) |
| if ( !prev ) { |
break; |
| head = cur = NEXT(cur); |
|
| } else { |
|
| cur = NEXT(prev) = NEXT(cur); |
|
| } |
} |
| FREENDP(remove); |
if ( nd_gbblock[i] >= 0 ) |
| } else { |
continue; |
| prev = cur; |
|
| cur = NEXT(cur); |
|
| } |
} |
| } |
NEXTND_pairs(r0,r); |
| return head; |
r->i1 = (long)BDY(h); |
| |
r->i2 = t; |
| |
ndl_lcm(DL(nd_psh[r->i1]),dl,r->lcm); |
| |
s = SG(nd_psh[r->i1])-TD(DL(nd_psh[r->i1])); |
| |
SG(r) = MAX(s,ts) + TD(LCM(r)); |
| |
/* experimental */ |
| |
if ( nd_sugarweight ) |
| |
r->sugar2 = ndl_weight2(r->lcm); |
| |
} |
| |
if ( r0 ) NEXT(r) = 0; |
| |
return r0; |
| } |
} |
| |
|
| |
/* ipair = [i1,i2],[i1,i2],... */ |
| |
ND_pairs nd_ipairtospair(NODE ipair) |
| |
{ |
| |
int s1,s2; |
| |
NODE tn,t; |
| |
ND_pairs r,r0; |
| |
|
| |
for ( r0 = 0, t = ipair; t; t = NEXT(t) ) { |
| |
NEXTND_pairs(r0,r); |
| |
tn = BDY((LIST)BDY(t)); |
| |
r->i1 = QTOS((Q)ARG0(tn)); |
| |
r->i2 = QTOS((Q)ARG1(tn)); |
| |
ndl_lcm(DL(nd_psh[r->i1]),DL(nd_psh[r->i2]),r->lcm); |
| |
s1 = SG(nd_psh[r->i1])-TD(DL(nd_psh[r->i1])); |
| |
s2 = SG(nd_psh[r->i2])-TD(DL(nd_psh[r->i2])); |
| |
SG(r) = MAX(s1,s2) + TD(LCM(r)); |
| |
/* experimental */ |
| |
if ( nd_sugarweight ) |
| |
r->sugar2 = ndl_weight2(r->lcm); |
| |
} |
| |
if ( r0 ) NEXT(r) = 0; |
| |
return r0; |
| |
} |
| |
|
| |
/* kokokara */ |
| |
|
| |
ND_pairs crit_B( ND_pairs d, int s ) |
| |
{ |
| |
ND_pairs cur,head,prev,remove; |
| |
UINT *t,*tl,*lcm; |
| |
int td,tdl; |
| |
|
| |
if ( !d ) return 0; |
| |
t = DL(nd_psh[s]); |
| |
prev = 0; |
| |
head = cur = d; |
| |
lcm = (UINT *)MALLOC(nd_wpd*sizeof(UINT)); |
| |
while ( cur ) { |
| |
tl = cur->lcm; |
| |
if ( ndl_reducible(tl,t) ) { |
| |
ndl_lcm(DL(nd_psh[cur->i1]),t,lcm); |
| |
if ( !ndl_equal(lcm,tl) ) { |
| |
ndl_lcm(DL(nd_psh[cur->i2]),t,lcm); |
| |
if (!ndl_equal(lcm,tl)) { |
| |
remove = cur; |
| |
if ( !prev ) { |
| |
head = cur = NEXT(cur); |
| |
} else { |
| |
cur = NEXT(prev) = NEXT(cur); |
| |
} |
| |
FREENDP(remove); |
| |
} else { |
| |
prev = cur; cur = NEXT(cur); |
| |
} |
| |
} else { |
| |
prev = cur; cur = NEXT(cur); |
| |
} |
| |
} else { |
| |
prev = cur; cur = NEXT(cur); |
| |
} |
| |
} |
| |
return head; |
| |
} |
| |
|
| ND_pairs crit_M( ND_pairs d1 ) |
ND_pairs crit_M( ND_pairs d1 ) |
| { |
{ |
| ND_pairs e,d2,d3,dd,p; |
ND_pairs e,d2,d3,dd,p; |
| unsigned int *id,*jd; |
UINT *id,*jd; |
| int itd,jtd; |
|
| |
|
| for ( dd = 0, e = d1; e; e = d3 ) { |
if ( !d1 ) return d1; |
| if ( !(d2 = NEXT(e)) ) { |
for ( dd = 0, e = d1; e; e = d3 ) { |
| NEXT(e) = dd; |
if ( !(d2 = NEXT(e)) ) { |
| return e; |
NEXT(e) = dd; |
| } |
return e; |
| id = e->lcm; |
} |
| itd = e->td; |
id = LCM(e); |
| for ( d3 = 0; d2; d2 = p ) { |
for ( d3 = 0; d2; d2 = p ) { |
| p = NEXT(d2), |
p = NEXT(d2); |
| jd = d2->lcm; |
jd = LCM(d2); |
| jtd = d2->td; |
if ( ndl_equal(jd,id) ) |
| if ( jtd == itd ) |
; |
| if ( id == jd ); |
else if ( TD(jd) > TD(id) ) |
| else if ( ndl_reducible(jd,id) ) continue; |
if ( ndl_reducible(jd,id) ) continue; |
| else if ( ndl_reducible(id,jd) ) goto delit; |
else ; |
| else ; |
else if ( ndl_reducible(id,jd) ) goto delit; |
| else if ( jtd > itd ) |
NEXT(d2) = d3; |
| if ( ndl_reducible(jd,id) ) continue; |
d3 = d2; |
| else ; |
} |
| else if ( ndl_reducible(id,jd ) ) goto delit; |
NEXT(e) = dd; |
| NEXT(d2) = d3; |
dd = e; |
| d3 = d2; |
continue; |
| } |
/**/ |
| NEXT(e) = dd; |
delit: NEXT(d2) = d3; |
| dd = e; |
d3 = d2; |
| continue; |
for ( ; p; p = d2 ) { |
| /**/ |
d2 = NEXT(p); |
| delit: NEXT(d2) = d3; |
NEXT(p) = d3; |
| d3 = d2; |
d3 = p; |
| for ( ; p; p = d2 ) { |
} |
| d2 = NEXT(p); |
FREENDP(e); |
| NEXT(p) = d3; |
} |
| d3 = p; |
return dd; |
| } |
|
| FREENDP(e); |
|
| } |
|
| return dd; |
|
| } |
} |
| |
|
| ND_pairs crit_F( ND_pairs d1 ) |
ND_pairs crit_F( ND_pairs d1 ) |
| { |
{ |
| ND_pairs rest, head,remove; |
ND_pairs rest, head,remove; |
| ND_pairs last, p, r, w; |
ND_pairs last, p, r, w; |
| int s; |
int s; |
| |
|
| for ( head = last = 0, p = d1; NEXT(p); ) { |
if ( !d1 ) return d1; |
| r = w = equivalent_pairs(p,&rest); |
for ( head = last = 0, p = d1; NEXT(p); ) { |
| s = r->sugar; |
r = w = equivalent_pairs(p,&rest); |
| w = NEXT(w); |
s = SG(r); |
| while ( w ) { |
w = NEXT(w); |
| if ( crit_2(w->i1,w->i2) ) { |
while ( w ) { |
| r = w; |
if ( crit_2(w->i1,w->i2) ) { |
| w = NEXT(w); |
r = w; |
| while ( w ) { |
w = NEXT(w); |
| remove = w; |
while ( w ) { |
| w = NEXT(w); |
remove = w; |
| FREENDP(remove); |
w = NEXT(w); |
| } |
FREENDP(remove); |
| break; |
} |
| } else if ( w->sugar < s ) { |
break; |
| FREENDP(r); |
} else if ( SG(w) < s ) { |
| r = w; |
FREENDP(r); |
| s = r->sugar; |
r = w; |
| w = NEXT(w); |
s = SG(r); |
| } else { |
w = NEXT(w); |
| remove = w; |
} else { |
| w = NEXT(w); |
remove = w; |
| FREENDP(remove); |
w = NEXT(w); |
| } |
FREENDP(remove); |
| } |
} |
| if ( last ) NEXT(last) = r; |
} |
| else head = r; |
if ( last ) NEXT(last) = r; |
| NEXT(last = r) = 0; |
else head = r; |
| p = rest; |
NEXT(last = r) = 0; |
| if ( !p ) return head; |
p = rest; |
| } |
if ( !p ) return head; |
| if ( !last ) return p; |
} |
| NEXT(last) = p; |
if ( !last ) return p; |
| return head; |
NEXT(last) = p; |
| |
return head; |
| } |
} |
| |
|
| int crit_2( int dp1, int dp2 ) |
int crit_2( int dp1, int dp2 ) |
| { |
{ |
| return ndl_disjoint(HDL(nd_ps[dp1]),HDL(nd_ps[dp2])); |
return ndl_disjoint(DL(nd_psh[dp1]),DL(nd_psh[dp2])); |
| } |
} |
| |
|
| static ND_pairs equivalent_pairs( ND_pairs d1, ND_pairs *prest ) |
ND_pairs equivalent_pairs( ND_pairs d1, ND_pairs *prest ) |
| { |
{ |
| ND_pairs w,p,r,s; |
ND_pairs w,p,r,s; |
| unsigned int *d; |
UINT *d; |
| int td; |
|
| |
|
| w = d1; |
w = d1; |
| d = w->lcm; |
d = LCM(w); |
| td = w->td; |
s = NEXT(w); |
| s = NEXT(w); |
NEXT(w) = 0; |
| NEXT(w) = 0; |
for ( r = 0; s; s = p ) { |
| for ( r = 0; s; s = p ) { |
p = NEXT(s); |
| p = NEXT(s); |
if ( ndl_equal(d,LCM(s)) ) { |
| if ( td == s->td && ndl_equal(d,s->lcm) ) { |
NEXT(s) = w; w = s; |
| NEXT(s) = w; |
} else { |
| w = s; |
NEXT(s) = r; r = s; |
| } else { |
} |
| NEXT(s) = r; |
} |
| r = s; |
*prest = r; |
| } |
return w; |
| } |
|
| *prest = r; |
|
| return w; |
|
| } |
} |
| |
|
| NODE update_base(NODE nd,int ndp) |
NODE update_base(NODE nd,int ndp) |
| { |
{ |
| unsigned int *dl, *dln; |
UINT *dl, *dln; |
| NODE last, p, head; |
NODE last, p, head; |
| int td,tdn; |
|
| |
|
| dl = HDL(nd_ps[ndp]); |
dl = DL(nd_psh[ndp]); |
| td = HTD(nd_ps[ndp]); |
for ( head = last = 0, p = nd; p; ) { |
| for ( head = last = 0, p = nd; p; ) { |
dln = DL(nd_psh[(long)BDY(p)]); |
| dln = HDL(nd_ps[(int)BDY(p)]); |
if ( ndl_reducible( dln, dl ) ) { |
| tdn = HTD(nd_ps[(int)BDY(p)]); |
p = NEXT(p); |
| if ( tdn >= td && ndl_reducible( dln, dl ) ) { |
if ( last ) NEXT(last) = p; |
| p = NEXT(p); |
} else { |
| if ( last ) NEXT(last) = p; |
if ( !last ) head = p; |
| } else { |
p = NEXT(last = p); |
| if ( !last ) head = p; |
} |
| p = NEXT(last = p); |
} |
| } |
head = append_one(head,ndp); |
| } |
return head; |
| head = append_one(head,ndp); |
|
| return head; |
|
| } |
} |
| |
|
| ND_pairs nd_minp( ND_pairs d, ND_pairs *prest ) |
ND_pairs nd_minp( ND_pairs d, ND_pairs *prest ) |
| { |
{ |
| ND_pairs m,ml,p,l; |
ND_pairs m,ml,p,l; |
| unsigned int *lcm; |
UINT *lcm; |
| int s,td,len,tlen,c; |
int s,td,len,tlen,c,c1; |
| |
|
| if ( !(p = NEXT(m = d)) ) { |
if ( !(p = NEXT(m = d)) ) { |
| *prest = p; |
*prest = p; |
| NEXT(m) = 0; |
NEXT(m) = 0; |
| return m; |
return m; |
| } |
} |
| lcm = m->lcm; |
if ( !NoSugar ) { |
| s = m->sugar; |
if ( nd_sugarweight ) { |
| td = m->td; |
s = m->sugar2; |
| len = nd_length(nd_ps[m->i1])+nd_length(nd_ps[m->i2]); |
for ( ml = 0, l = m; p; p = NEXT(l = p) ) |
| for ( ml = 0, l = m; p; p = NEXT(l = p) ) { |
if ( (p->sugar2 < s) |
| if (p->sugar < s) |
|| ((p->sugar2 == s) && (DL_COMPARE(LCM(p),LCM(m)) < 0)) ) { |
| goto find; |
ml = l; m = p; s = m->sugar2; |
| else if ( p->sugar == s ) { |
} |
| if ( p->td < td ) |
} else { |
| goto find; |
s = SG(m); |
| else if ( p->td == td ) { |
for ( ml = 0, l = m; p; p = NEXT(l = p) ) |
| c = ndl_compare(p->lcm,lcm); |
if ( (SG(p) < s) |
| if ( c < 0 ) |
|| ((SG(p) == s) && (DL_COMPARE(LCM(p),LCM(m)) < 0)) ) { |
| goto find; |
ml = l; m = p; s = SG(m); |
| else if ( c == 0 ) { |
} |
| tlen = nd_length(nd_ps[p->i1])+nd_length(nd_ps[p->i2]); |
} |
| if ( tlen < len ) |
} else { |
| goto find; |
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); |
| } |
} |
| continue; |
} |
| find: |
if ( !ml ) *prest = NEXT(m); |
| ml = l; |
else { |
| m = p; |
NEXT(ml) = NEXT(m); |
| lcm = m->lcm; |
*prest = d; |
| s = m->sugar; |
} |
| td = m->td; |
NEXT(m) = 0; |
| len = tlen; |
return m; |
| } |
|
| if ( !ml ) *prest = NEXT(m); |
|
| else { |
|
| NEXT(ml) = NEXT(m); |
|
| *prest = d; |
|
| } |
|
| NEXT(m) = 0; |
|
| return m; |
|
| } |
} |
| |
|
| int nd_newps(ND a) |
ND_pairs nd_minsugarp( ND_pairs d, ND_pairs *prest ) |
| { |
{ |
| int len; |
int msugar,i; |
| |
ND_pairs t,dm0,dm,dr0,dr; |
| |
|
| if ( nd_psn == nd_pslen ) { |
if ( nd_sugarweight ) { |
| nd_pslen *= 2; |
for ( msugar = d->sugar2, t = NEXT(d); t; t = NEXT(t) ) |
| nd_ps = (ND *)REALLOC((char *)nd_ps,nd_pslen*sizeof(ND)); |
if ( t->sugar2 < msugar ) msugar = t->sugar2; |
| #if USE_NDV |
dm0 = 0; dr0 = 0; |
| nd_psv = (NDV *)REALLOC((char *)nd_psv,nd_pslen*sizeof(NDV)); |
for ( i = 0, t = d; t; t = NEXT(t) ) |
| |
if ( i < nd_f4_nsp && t->sugar2 == msugar ) { |
| |
if ( dm0 ) NEXT(dm) = t; |
| |
else dm0 = t; |
| |
dm = t; |
| |
i++; |
| |
} else { |
| |
if ( dr0 ) NEXT(dr) = t; |
| |
else dr0 = t; |
| |
dr = t; |
| |
} |
| |
} else { |
| |
for ( msugar = SG(d), t = NEXT(d); t; t = NEXT(t) ) |
| |
if ( SG(t) < msugar ) msugar = SG(t); |
| |
dm0 = 0; dr0 = 0; |
| |
for ( i = 0, t = d; t; t = NEXT(t) ) |
| |
if ( i < nd_f4_nsp && SG(t) == msugar ) { |
| |
if ( dm0 ) NEXT(dm) = t; |
| |
else dm0 = t; |
| |
dm = t; |
| |
i++; |
| |
} else { |
| |
if ( dr0 ) NEXT(dr) = t; |
| |
else dr0 = t; |
| |
dr = t; |
| |
} |
| |
} |
| |
NEXT(dm) = 0; |
| |
if ( dr0 ) NEXT(dr) = 0; |
| |
*prest = dr0; |
| |
return dm0; |
| |
} |
| |
|
| |
int nd_tdeg(NDV c) |
| |
{ |
| |
int wmax = 0; |
| |
int i,len; |
| |
NMV a; |
| |
|
| |
len = LEN(c); |
| |
for ( a = BDY(c), i = 0; i < len; i++, NMV_ADV(a) ) |
| |
wmax = MAX(TD(DL(a)),wmax); |
| |
return wmax; |
| |
} |
| |
|
| |
int ndv_newps(int m,NDV a,NDV aq,int f4) |
| |
{ |
| |
int len; |
| |
RHist r; |
| |
NDV b; |
| |
NODE tn; |
| |
LIST l; |
| |
Q iq; |
| |
|
| |
if ( nd_psn == nd_pslen ) { |
| |
nd_pslen *= 2; |
| |
nd_ps = (NDV *)REALLOC((char *)nd_ps,nd_pslen*sizeof(NDV)); |
| |
nd_ps_gz = (NDV *)REALLOC((char *)nd_ps_gz,nd_pslen*sizeof(NDV)); |
| |
nd_ps_trace = (NDV *)REALLOC((char *)nd_ps_trace,nd_pslen*sizeof(NDV)); |
| |
nd_psh = (RHist *)REALLOC((char *)nd_psh,nd_pslen*sizeof(RHist)); |
| |
nd_bound = (UINT **) |
| |
REALLOC((char *)nd_bound,nd_pslen*sizeof(UINT *)); |
| |
nd_ps_sym = (NDV *)REALLOC((char *)nd_ps_sym,nd_pslen*sizeof(NDV)); |
| |
nd_ps_trace_sym = (NDV *)REALLOC((char *)nd_ps_trace_sym,nd_pslen*sizeof(NDV)); |
| |
} |
| |
NEWRHist(r); nd_psh[nd_psn] = r; |
| |
nd_ps[nd_psn] = a; |
| |
if ( aq ) { |
| |
nd_ps_trace[nd_psn] = aq; |
| |
if ( !m ) { |
| |
if ( !nd_vc ) nd_ps_gz[nd_psn] = ndvtondvgz(aq); |
| |
register_hcf(aq); |
| |
} else if ( m == -2 ) { |
| |
/* do nothing */ |
| |
} else |
| |
error("ndv_newps : invalud modulus"); |
| |
nd_bound[nd_psn] = ndv_compute_bound(aq); |
| |
#if 1 |
| |
SG(r) = SG(aq); |
| |
#else |
| |
SG(r) = nd_tdeg(aq); |
| #endif |
#endif |
| nd_bound = (unsigned int **) |
ndl_copy(HDL(aq),DL(r)); |
| REALLOC((char *)nd_bound,nd_pslen*sizeof(unsigned int *)); |
} else { |
| } |
if ( !m ) register_hcf(a); |
| nd_monic(a); |
nd_bound[nd_psn] = ndv_compute_bound(a); |
| nd_ps[nd_psn] = a; |
#if 1 |
| nd_bound[nd_psn] = nd_compute_bound(a); |
SG(r) = SG(a); |
| #if USE_NDV |
#else |
| len = nd_psv[nd_psn]->len; |
SG(r) = nd_tdeg(a); |
| nd_psv[nd_psn] = ndtondv(a); |
|
| if ( len > nmv_len ) { |
|
| nmv_len = 2*len; |
|
| BDY(ndv_red) = (NMV)REALLOC(BDY(ndv_red),nmv_len*nmv_adv); |
|
| } |
|
| #endif |
#endif |
| return nd_psn++; |
ndl_copy(HDL(a),DL(r)); |
| |
if ( !m && !nd_vc ) nd_ps_gz[nd_psn] = ndvtondvgz(a); |
| |
} |
| |
if ( nd_demand ) { |
| |
if ( aq ) { |
| |
ndv_save(nd_ps_trace[nd_psn],nd_psn); |
| |
nd_ps_sym[nd_psn] = ndv_symbolic(m,nd_ps_trace[nd_psn]); |
| |
nd_ps_trace_sym[nd_psn] = ndv_symbolic(m,nd_ps_trace[nd_psn]); |
| |
nd_ps_trace[nd_psn] = 0; |
| |
} else { |
| |
ndv_save(nd_ps[nd_psn],nd_psn); |
| |
nd_ps_sym[nd_psn] = ndv_symbolic(m,nd_ps[nd_psn]); |
| |
nd_ps[nd_psn] = 0; |
| |
} |
| |
} |
| |
if ( nd_gentrace ) { |
| |
/* reverse the tracelist and append it to alltracelist */ |
| |
nd_tracelist = reverse_node(nd_tracelist); MKLIST(l,nd_tracelist); |
| |
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++; |
| } |
} |
| |
|
| NODE NODE_sortb(NODE f,int); |
/* nd_tracelist = [[0,index,div],...,[nd_psn-1,index,div]] */ |
| ND dptond(DP); |
/* return 1 if success, 0 if failure (HC(a mod p)) */ |
| DP ndtodp(ND); |
|
| |
|
| NODE nd_setup(NODE f) |
int ndv_setup(int mod,int trace,NODE f,int dont_sort,int dont_removecont) |
| { |
{ |
| int i,j,td,len,max; |
int i,j,td,len,max; |
| NODE s,s0,f0; |
NODE s,s0,f0,tn; |
| unsigned int *d; |
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_found = 0; nd_notfirst = 0; nd_create = 0; |
| nd_notfirst = 0; |
/* initialize the tracelist */ |
| nd_create = 0; |
nd_tracelist = 0; |
| |
|
| |
for ( nd_psn = 0, s = f; s; s = NEXT(s) ) if ( BDY(s) ) nd_psn++; |
| |
w = (NDVI)MALLOC(nd_psn*sizeof(struct oNDVI)); |
| |
for ( i = j = 0, s = f; s; s = NEXT(s), j++ ) |
| |
if ( BDY(s) ) { w[i].p = BDY(s); w[i].i = j; i++; } |
| |
if ( !dont_sort ) { |
| |
/* XXX heuristic */ |
| |
if ( !nd_ord->id && (nd_ord->ord.simple<2) ) |
| |
qsort(w,nd_psn,sizeof(struct oNDVI), |
| |
(int (*)(const void *,const void *))ndvi_compare_rev); |
| |
else |
| |
qsort(w,nd_psn,sizeof(struct oNDVI), |
| |
(int (*)(const void *,const void *))ndvi_compare); |
| |
} |
| |
nd_pslen = 2*nd_psn; |
| |
nd_ps = (NDV *)MALLOC(nd_pslen*sizeof(NDV)); |
| |
nd_ps_gz = (NDV *)MALLOC(nd_pslen*sizeof(NDV)); |
| |
nd_ps_trace = (NDV *)MALLOC(nd_pslen*sizeof(NDV)); |
| |
nd_ps_sym = (NDV *)MALLOC(nd_pslen*sizeof(NDV)); |
| |
nd_ps_trace_sym = (NDV *)MALLOC(nd_pslen*sizeof(NDV)); |
| |
nd_psh = (RHist *)MALLOC(nd_pslen*sizeof(RHist)); |
| |
nd_bound = (UINT **)MALLOC(nd_pslen*sizeof(UINT *)); |
| |
nd_hcf = 0; |
| |
|
| |
if ( trace && nd_vc ) |
| |
makesubst(nd_vc,&nd_subst); |
| |
else |
| |
nd_subst = 0; |
| |
|
| |
if ( !nd_red ) |
| |
nd_red = (RHist *)MALLOC(REDTAB_LEN*sizeof(RHist)); |
| |
for ( i = 0; i < REDTAB_LEN; i++ ) nd_red[i] = 0; |
| |
for ( i = 0; i < nd_psn; i++ ) { |
| |
hc = HCU(w[i].p); |
| |
if ( trace ) { |
| |
if ( mod == -2 ) { |
| |
/* over a large finite field */ |
| |
/* trace = small modulus */ |
| |
a = nd_ps_trace[i] = ndv_dup(-2,w[i].p); |
| |
ndv_mod(-2,a); |
| |
if ( !dont_removecont) ndv_removecont(-2,a); |
| |
am = nd_ps[i] = ndv_dup(trace,w[i].p); |
| |
ndv_mod(trace,am); |
| |
if ( DL_COMPARE(HDL(am),HDL(a)) ) |
| |
return 0; |
| |
ndv_removecont(trace,am); |
| |
} else { |
| |
a = nd_ps_trace[i] = ndv_dup(0,w[i].p); |
| |
if ( !nd_vc ) nd_ps_gz[i] = ndvtondvgz(a); |
| |
if ( !dont_removecont) ndv_removecont(0,a); |
| |
register_hcf(a); |
| |
am = nd_ps[i] = ndv_dup(mod,a); |
| |
ndv_mod(mod,am); |
| |
if ( DL_COMPARE(HDL(am),HDL(a)) ) |
| |
return 0; |
| |
ndv_removecont(mod,am); |
| |
} |
| |
} else { |
| |
a = nd_ps[i] = ndv_dup(mod,w[i].p); |
| |
if ( !mod && !nd_vc ) nd_ps_gz[i] = ndvtondvgz(a); |
| |
if ( mod || !dont_removecont ) ndv_removecont(mod,a); |
| |
if ( !mod ) register_hcf(a); |
| |
} |
| |
if ( nd_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_sym[i] = ndv_symbolic(mod,nd_ps_trace[i]); |
| |
nd_ps_trace_sym[i] = ndv_symbolic(mod,nd_ps_trace[i]); |
| |
nd_ps_trace[i] = 0; |
| |
} else { |
| |
ndv_save(nd_ps[i],i); |
| |
nd_ps_sym[i] = ndv_symbolic(mod,nd_ps[i]); |
| |
nd_ps[i] = 0; |
| |
} |
| |
} |
| |
} |
| |
if ( nd_gentrace && nd_tracelist ) NEXT(tn) = 0; |
| |
return 1; |
| |
} |
| |
|
| |
struct order_spec *append_block(struct order_spec *spec, |
| |
int nv,int nalg,int ord); |
| |
|
| |
extern VECT current_dl_weight_vector_obj; |
| |
static VECT prev_weight_vector_obj; |
| |
|
| |
void preprocess_algcoef(VL vv,VL av,struct order_spec *ord,LIST f, |
| |
struct order_spec **ord1p,LIST *f1p,NODE *alistp) |
| |
{ |
| |
NODE alist,t,s,r0,r,arg; |
| |
VL tv; |
| |
P poly; |
| |
DP d; |
| |
Alg alpha,dp; |
| |
DAlg inv,da,hc; |
| |
MP m; |
| |
int i,nvar,nalg,n; |
| |
NumberField nf; |
| |
LIST f1,f2; |
| |
struct order_spec *current_spec; |
| |
VECT obj,obj0; |
| |
VECT tmp; |
| |
|
| |
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++); |
| |
for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++); |
| |
|
| |
for ( alist = 0, tv = av; tv; tv = NEXT(tv) ) { |
| |
NEXTNODE(alist,t); MKV(tv->v,poly); |
| |
MKAlg(poly,alpha); BDY(t) = (pointer)alpha; |
| |
tv->v = tv->v->priv; |
| |
} |
| |
NEXT(t) = 0; |
| |
|
| |
/* simplification, making polynomials monic */ |
| |
setfield_dalg(alist); |
| |
obj_algtodalg((Obj)f,(Obj *)&f1); |
| |
for ( t = BDY(f); t; t = NEXT(t) ) { |
| |
initd(ord); ptod(vv,vv,(P)BDY(t),&d); |
| |
hc = (DAlg)BDY(d)->c; |
| |
if ( NID(hc) == N_DA ) { |
| |
invdalg(hc,&inv); |
| |
for ( m = BDY(d); m; m = NEXT(m) ) { |
| |
muldalg(inv,(DAlg)m->c,&da); m->c = (Obj)da; |
| |
} |
| |
} |
| |
initd(ord); dtop(vv,vv,d,(Obj *)&poly); BDY(f) = (pointer)poly; |
| |
} |
| |
obj_dalgtoalg((Obj)f1,(Obj *)&f); |
| |
|
| |
/* append alg vars to the var list */ |
| |
for ( tv = vv; NEXT(tv); tv = NEXT(tv) ); |
| |
NEXT(tv) = av; |
| |
|
| |
/* append a block to ord */ |
| |
*ord1p = append_block(ord,nvar,nalg,2); |
| |
|
| |
/* create generator list */ |
| |
nf = get_numberfield(); |
| |
for ( i = nalg-1, t = BDY(f); i >= 0; i-- ) { |
| |
MKAlg(nf->defpoly[i],dp); |
| |
MKNODE(s,dp,t); t = s; |
| |
} |
| |
MKLIST(f1,t); |
| |
*alistp = alist; |
| |
algobjtorat((Obj)f1,(Obj *)f1p); |
| |
|
| |
/* creating a new weight vector */ |
| |
prev_weight_vector_obj = obj0 = current_dl_weight_vector_obj; |
| |
n = nvar+nalg+1; |
| |
MKVECT(obj,n); |
| |
if ( obj0 && obj0->len == nvar ) |
| |
for ( i = 0; i < nvar; i++ ) BDY(obj)[i] = BDY(obj0)[i]; |
| |
else |
| |
for ( i = 0; i < nvar; i++ ) BDY(obj)[i] = (pointer)ONE; |
| |
for ( i = 0; i < nalg; i++ ) BDY(obj)[i+nvar] = 0; |
| |
BDY(obj)[n-1] = (pointer)ONE; |
| |
arg = mknode(1,obj); |
| |
Pdp_set_weight(arg,&tmp); |
| |
} |
| |
|
| |
NODE postprocess_algcoef(VL av,NODE alist,NODE r) |
| |
{ |
| |
NODE s,t,u0,u; |
| |
P p; |
| |
VL tv; |
| |
Obj obj; |
| |
VECT tmp; |
| |
NODE arg; |
| |
|
| |
u0 = 0; |
| |
for ( t = r; t; t = NEXT(t) ) { |
| |
p = (P)BDY(t); |
| |
for ( tv = av, s = alist; tv; tv = NEXT(tv), s = NEXT(s) ) { |
| |
substr(CO,0,(Obj)p,tv->v,(Obj)BDY(s),&obj); p = (P)obj; |
| |
} |
| |
if ( OID(p) == O_P || (OID(p) == O_N && NID((Num)p) != N_A) ) { |
| |
NEXTNODE(u0,u); |
| |
BDY(u) = (pointer)p; |
| |
} |
| |
} |
| |
arg = mknode(1,prev_weight_vector_obj); |
| |
Pdp_set_weight(arg,&tmp); |
| |
|
| |
return u0; |
| |
} |
| |
|
| |
void nd_gr(LIST f,LIST v,int m,int homo,int retdp,int f4,struct order_spec *ord,LIST *rp) |
| |
{ |
| |
VL tv,fv,vv,vc,av; |
| |
NODE fd,fd0,r,r0,t,x,s,xx,alist; |
| |
int e,max,nvar,i; |
| |
NDV b; |
| |
int ishomo,nalg,mrank,trank,wmax,len; |
| |
NMV a; |
| |
Alg alpha,dp; |
| |
P p,zp; |
| |
Q dmy; |
| |
LIST f1,f2,zpl; |
| |
Obj obj; |
| |
NumberField nf; |
| |
struct order_spec *ord1; |
| |
NODE tr,tl1,tl2,tl3,tl4,nzlist; |
| |
LIST l1,l2,l3,l4,l5; |
| |
int j; |
| |
Q jq,bpe,last_nonzero; |
| |
int *perm; |
| |
EPOS oepos; |
| |
int obpe,oadv,ompos,cbpe; |
| |
|
| |
nd_module = 0; |
| |
if ( !m && Demand ) nd_demand = 1; |
| |
else nd_demand = 0; |
| |
parse_nd_option(current_option); |
| |
|
| |
if ( DP_Multiple ) |
| |
nd_scale = ((double)DP_Multiple)/(double)(Denominator?Denominator:1); |
| #if 0 |
#if 0 |
| f0 = f = NODE_sortb(f,1); |
ndv_alloc = 0; |
| #endif |
#endif |
| nd_psn = length(f); nd_pslen = 2*nd_psn; |
get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc); |
| nd_ps = (ND *)MALLOC(nd_pslen*sizeof(ND)); |
if ( m && nd_vc ) |
| #if USE_NDV |
error("nd_{gr,f4} : computation over Fp(X) is unsupported. Use dp_gr_mod_main()."); |
| nd_psv = (NDV *)MALLOC(nd_pslen*sizeof(NDV)); |
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); |
| #endif |
switch ( ord->id ) { |
| nd_bound = (unsigned int **)MALLOC(nd_pslen*sizeof(unsigned int *)); |
case 1: |
| for ( max = 0, i = 0, s = f; i < nd_psn; i++, s = NEXT(s) ) { |
if ( ord->nv != nvar ) |
| nd_bound[i] = d = dp_compute_bound((DP)BDY(s)); |
error("nd_{gr,f4} : invalid order specification"); |
| for ( j = 0; j < nd_nvar; j++ ) |
break; |
| max = MAX(d[j],max); |
default: |
| |
break; |
| |
} |
| |
nd_nalg = 0; |
| |
av = 0; |
| |
if ( !m ) { |
| |
get_algtree((Obj)f,&av); |
| |
for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++ ); |
| |
nd_ntrans = nvar; |
| |
nd_nalg = nalg; |
| |
/* #i -> t#i */ |
| |
if ( nalg ) { |
| |
preprocess_algcoef(vv,av,ord,f,&ord1,&f1,&alist); |
| |
ord = ord1; |
| |
f = f1; |
| |
} |
| |
nvar += nalg; |
| |
} |
| |
nd_init_ord(ord); |
| |
mrank = 0; |
| |
for ( t = BDY(f), max = 1; t; t = NEXT(t) ) |
| |
for ( tv = vv; tv; tv = NEXT(tv) ) { |
| |
if ( nd_module ) { |
| |
s = BDY((LIST)BDY(t)); |
| |
trank = length(s); |
| |
mrank = MAX(mrank,trank); |
| |
for ( ; s; s = NEXT(s) ) { |
| |
e = getdeg(tv->v,(P)BDY(s)); |
| |
max = MAX(e,max); |
| |
} |
| |
} else { |
| |
e = getdeg(tv->v,(P)BDY(t)); |
| |
max = MAX(e,max); |
| |
} |
| |
} |
| |
nd_setup_parameters(nvar,nd_nzlist?0:max); |
| |
obpe = nd_bpe; oadv = nmv_adv; oepos = nd_epos; ompos = nd_mpos; |
| |
ishomo = 1; |
| |
for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) { |
| |
if ( nd_module ) { |
| |
if ( !m && !nd_gentrace ) pltozpl((LIST)BDY(t),&dmy,&zpl); |
| |
else zpl = (LIST)BDY(t); |
| |
b = (pointer)pltondv(CO,vv,zpl); |
| |
} else { |
| |
if ( !m && !nd_gentrace ) ptozp((P)BDY(t),1,&dmy,&zp); |
| |
else zp = (P)BDY(t); |
| |
b = (pointer)ptondv(CO,vv,zp); |
| |
} |
| |
if ( ishomo ) |
| |
ishomo = ishomo && ndv_ishomo(b); |
| |
if ( m ) ndv_mod(m,b); |
| |
if ( b ) { NEXTNODE(fd0,fd); BDY(fd) = (pointer)b; } |
| |
} |
| |
if ( fd0 ) NEXT(fd) = 0; |
| |
|
| |
if ( !ishomo && homo ) { |
| |
for ( t = fd0, wmax = max; t; t = NEXT(t) ) { |
| |
b = (NDV)BDY(t); len = LEN(b); |
| |
for ( a = BDY(b), i = 0; i < len; i++, NMV_ADV(a) ) |
| |
wmax = MAX(TD(DL(a)),wmax); |
| |
} |
| |
homogenize_order(ord,nvar,&ord1); |
| |
nd_init_ord(ord1); |
| |
nd_setup_parameters(nvar+1,wmax); |
| |
for ( t = fd0; t; t = NEXT(t) ) |
| |
ndv_homogenize((NDV)BDY(t),obpe,oadv,oepos,ompos); |
| |
} |
| |
|
| |
ndv_setup(m,0,fd0,(nd_gbblock||nd_splist||nd_check_splist)?1:0,0); |
| |
if ( nd_gentrace ) { |
| |
MKLIST(l1,nd_tracelist); MKNODE(nd_alltracelist,l1,0); |
| |
} |
| |
if ( nd_splist ) { |
| |
*rp = compute_splist(); |
| |
return; |
| } |
} |
| |
if ( nd_check_splist ) { |
| |
if ( f4 ) { |
| |
if ( check_splist_f4(m,nd_check_splist) ) *rp = (LIST)ONE; |
| |
else *rp = 0; |
| |
} else { |
| |
if ( check_splist(m,nd_check_splist) ) *rp = (LIST)ONE; |
| |
else *rp = 0; |
| |
} |
| |
return; |
| |
} |
| |
x = f4?nd_f4(m,0,&perm):nd_gb(m,ishomo || homo,0,0,&perm); |
| |
if ( !x ) { |
| |
*rp = 0; return; |
| |
} |
| |
if ( !ishomo && homo ) { |
| |
/* dehomogenization */ |
| |
for ( t = x; t; t = NEXT(t) ) ndv_dehomogenize((NDV)BDY(t),ord); |
| |
nd_init_ord(ord); |
| |
nd_setup_parameters(nvar,0); |
| |
} |
| |
nd_demand = 0; |
| |
if ( nd_module && nd_intersect ) { |
| |
for ( j = nd_psn-1, x = 0; j >= 0; j-- ) |
| |
if ( MPOS(DL(nd_psh[j])) > 1 ) { |
| |
MKNODE(xx,(pointer)j,x); x = xx; |
| |
} |
| |
conv_ilist(nd_demand,0,x,0); |
| |
goto FINAL; |
| |
} |
| |
if ( nd_gentrace && f4 ) { nzlist = nd_alltracelist; } |
| |
x = ndv_reducebase(x,perm); |
| |
if ( nd_gentrace && !f4 ) { tl1 = nd_alltracelist; nd_alltracelist = 0; } |
| |
x = ndv_reduceall(m,x); |
| |
cbpe = nd_bpe; |
| |
if ( nd_gentrace && !f4 ) { |
| |
tl2 = nd_alltracelist; nd_alltracelist = 0; |
| |
ndv_check_membership(m,fd0,obpe,oadv,oepos,x); |
| |
tl3 = nd_alltracelist; nd_alltracelist = 0; |
| |
if ( nd_gensyz ) { |
| |
nd_gb(m,0,1,1,0); |
| |
tl4 = nd_alltracelist; nd_alltracelist = 0; |
| |
} else tl4 = 0; |
| |
} |
| |
nd_bpe = cbpe; |
| |
nd_setup_parameters(nd_nvar,0); |
| |
FINAL: |
| |
for ( r0 = 0, t = x; t; t = NEXT(t) ) { |
| |
NEXTNODE(r0,r); |
| |
if ( nd_module ) BDY(r) = ndvtopl(m,CO,vv,BDY(t),mrank); |
| |
else if ( retdp ) BDY(r) = ndvtodp(m,BDY(t)); |
| |
else BDY(r) = ndvtop(m,CO,vv,BDY(t)); |
| |
} |
| |
if ( r0 ) NEXT(r) = 0; |
| |
if ( !m && nd_nalg ) |
| |
r0 = postprocess_algcoef(av,alist,r0); |
| |
MKLIST(*rp,r0); |
| |
if ( nd_gentrace ) { |
| |
if ( f4 ) { |
| |
STOQ(16,bpe); |
| |
STOQ(nd_last_nonzero,last_nonzero); |
| |
tr = mknode(5,*rp,(!ishomo&&homo)?ONE:0,BDY(nzlist),bpe,last_nonzero); MKLIST(*rp,tr); |
| |
|
| |
} else { |
| |
tl1 = reverse_node(tl1); tl2 = reverse_node(tl2); |
| |
tl3 = reverse_node(tl3); |
| |
/* 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); |
| |
STOQ(nd_bpe,bpe); |
| |
tr = mknode(8,*rp,(!ishomo&&homo)?ONE:0,l1,l2,l3,l4,l5,bpe); MKLIST(*rp,tr); |
| |
} |
| |
} |
| |
#if 0 |
| |
fprintf(asir_out,"ndv_alloc=%d\n",ndv_alloc); |
| |
#endif |
| |
} |
| |
|
| if ( max < 2 ) |
void nd_gr_postproc(LIST f,LIST v,int m,struct order_spec *ord,int do_check,LIST *rp) |
| nd_bpe = 2; |
{ |
| else if ( max < 4 ) |
VL tv,fv,vv,vc,av; |
| nd_bpe = 4; |
NODE fd,fd0,r,r0,t,x,s,xx,alist; |
| else if ( max < 64 ) |
int e,max,nvar,i; |
| nd_bpe = 6; |
NDV b; |
| else if ( max < 256 ) |
int ishomo,nalg; |
| nd_bpe = 8; |
Alg alpha,dp; |
| else if ( max < 65536 ) |
P p,zp; |
| nd_bpe = 16; |
Q dmy; |
| else |
LIST f1,f2; |
| nd_bpe = 32; |
Obj obj; |
| |
NumberField nf; |
| nd_setup_parameters(); |
struct order_spec *ord1; |
| nd_free_private_storage(); |
int *perm; |
| len = 0; |
|
| for ( i = 0; i < nd_psn; i++, f = NEXT(f) ) { |
parse_nd_option(current_option); |
| nd_ps[i] = dptond((DP)BDY(f)); |
get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc); |
| nd_monic(nd_ps[i]); |
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); |
| #if USE_NDV |
switch ( ord->id ) { |
| nd_psv[i] = ndtondv(nd_ps[i]); |
case 1: |
| len = MAX(len,nd_psv[i]->len); |
if ( ord->nv != nvar ) |
| |
error("nd_check : invalid order specification"); |
| |
break; |
| |
default: |
| |
break; |
| |
} |
| |
nd_nalg = 0; |
| |
av = 0; |
| |
if ( !m ) { |
| |
get_algtree((Obj)f,&av); |
| |
for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++ ); |
| |
nd_ntrans = nvar; |
| |
nd_nalg = nalg; |
| |
/* #i -> t#i */ |
| |
if ( nalg ) { |
| |
preprocess_algcoef(vv,av,ord,f,&ord1,&f1,&alist); |
| |
ord = ord1; |
| |
f = f1; |
| |
} |
| |
nvar += nalg; |
| |
} |
| |
nd_init_ord(ord); |
| |
for ( t = BDY(f), max = 1; t; t = NEXT(t) ) |
| |
for ( tv = vv; tv; tv = NEXT(tv) ) { |
| |
e = getdeg(tv->v,(P)BDY(t)); |
| |
max = MAX(e,max); |
| |
} |
| |
nd_setup_parameters(nvar,max); |
| |
ishomo = 1; |
| |
for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) { |
| |
ptozp((P)BDY(t),1,&dmy,&zp); |
| |
b = (pointer)ptondv(CO,vv,zp); |
| |
if ( ishomo ) |
| |
ishomo = ishomo && ndv_ishomo(b); |
| |
if ( m ) ndv_mod(m,b); |
| |
if ( b ) { NEXTNODE(fd0,fd); BDY(fd) = (pointer)b; } |
| |
} |
| |
if ( fd0 ) NEXT(fd) = 0; |
| |
ndv_setup(m,0,fd0,0,1); |
| |
for ( x = 0, i = 0; i < nd_psn; i++ ) |
| |
x = update_base(x,i); |
| |
if ( do_check ) { |
| |
x = nd_gb(m,ishomo,1,0,&perm); |
| |
if ( !x ) { |
| |
*rp = 0; |
| |
return; |
| |
} |
| |
} else { |
| |
#if 0 |
| |
/* bug ? */ |
| |
for ( t = x; t; t = NEXT(t) ) |
| |
BDY(t) = (pointer)nd_ps[(long)BDY(t)]; |
| |
#else |
| |
conv_ilist(0,0,x,&perm); |
| #endif |
#endif |
| |
} |
| |
x = ndv_reducebase(x,perm); |
| |
x = ndv_reduceall(m,x); |
| |
for ( r0 = 0, t = x; t; t = NEXT(t) ) { |
| |
NEXTNODE(r0,r); |
| |
BDY(r) = ndvtop(m,CO,vv,BDY(t)); |
| |
} |
| |
if ( r0 ) NEXT(r) = 0; |
| |
if ( !m && nd_nalg ) |
| |
r0 = postprocess_algcoef(av,alist,r0); |
| |
MKLIST(*rp,r0); |
| |
} |
| |
|
| |
NDV recompute_trace(NODE trace,NDV *p,int m); |
| |
void nd_gr_recompute_trace(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,LIST *rp); |
| |
|
| |
NDV recompute_trace(NODE ti,NDV *p,int mod) |
| |
{ |
| |
int c,c1,c2,i; |
| |
NM mul,m,tail; |
| |
ND d,r,rm; |
| |
NODE sj; |
| |
NDV red; |
| |
Obj mj; |
| |
static int afo=0; |
| |
|
| |
afo++; |
| |
mul = (NM)MALLOC(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT)); |
| |
CM(mul) = 1; |
| |
tail = 0; |
| |
for ( i = 0, d = r = 0; ti; ti = NEXT(ti), i++ ) { |
| |
sj = BDY((LIST)BDY(ti)); |
| |
if ( ARG0(sj) ) { |
| |
red = p[QTOS((Q)ARG1(sj))]; |
| |
mj = (Obj)ARG2(sj); |
| |
if ( OID(mj) != O_DP ) ndl_zero(DL(mul)); |
| |
else dltondl(nd_nvar,BDY((DP)mj)->dl,DL(mul)); |
| |
rm = ndv_mul_nm(mod,mul,red); |
| |
if ( !r ) r = rm; |
| |
else { |
| |
for ( m = BDY(r); m && !ndl_equal(m->dl,BDY(rm)->dl); m = NEXT(m), LEN(r)-- ) { |
| |
if ( d ) { |
| |
NEXT(tail) = m; tail = m; LEN(d)++; |
| |
} else { |
| |
MKND(nd_nvar,m,1,d); tail = BDY(d); |
| |
} |
| |
} |
| |
if ( !m ) return 0; /* failure */ |
| |
else { |
| |
BDY(r) = m; |
| |
if ( mod > 0 || mod == -1 ) { |
| |
c1 = invm(HCM(rm),mod); c2 = mod-HCM(r); |
| |
DMAR(c1,c2,0,mod,c); |
| |
nd_mul_c(mod,rm,c); |
| |
} else { |
| |
GZ t,u; |
| |
|
| |
chsgnlf(HCZ(r),&t); |
| |
divlf(t,HCZ(rm),&u); |
| |
nd_mul_c_lf(rm,u); |
| |
} |
| |
r = nd_add(mod,r,rm); |
| |
} |
| |
} |
| |
} |
| } |
} |
| nd_red = (NM *)MALLOC(REDTAB_LEN*sizeof(NM)); |
if ( tail ) NEXT(tail) = 0; |
| #if USE_NDV |
d = nd_add(mod,d,r); |
| nmv_len = 16*len; |
nd_mul_c(mod,d,invm(HCM(d),mod)); |
| NEWNDV(ndv_red); |
return ndtondv(mod,d); |
| BDY(ndv_red) = (NMV)MALLOC_ATOMIC(nmv_len*nmv_adv); |
|
| #endif |
|
| for ( s0 = 0, i = 0; i < nd_psn; i++ ) { |
|
| NEXTNODE(s0,s); BDY(s) = (pointer)i; |
|
| } |
|
| if ( s0 ) NEXT(s) = 0; |
|
| return s0; |
|
| } |
} |
| |
|
| void nd_gr(LIST f,LIST v,int m,struct order_spec *ord,LIST *rp) |
void nd_gr_recompute_trace(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,LIST *rp) |
| { |
{ |
| struct order_spec ord1; |
VL tv,fv,vv,vc,av; |
| VL fv,vv,vc; |
NODE fd,fd0,r,r0,t,x,s,xx,alist; |
| NODE fd,fd0,r,r0,t,x,s,xx; |
int e,max,nvar,i; |
| DP a,b,c; |
NDV b; |
| |
int ishomo,nalg; |
| |
Alg alpha,dp; |
| |
P p,zp; |
| |
Q dmy; |
| |
LIST f1,f2; |
| |
Obj obj; |
| |
NumberField nf; |
| |
struct order_spec *ord1; |
| |
NODE permtrace,intred,ind,perm,trace,ti; |
| |
int len,n,j; |
| |
NDV *db,*pb; |
| |
|
| get_vars((Obj)f,&fv); pltovl(v,&vv); |
parse_nd_option(current_option); |
| nd_nvar = length(vv); |
get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc); |
| if ( ord->id ) |
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); |
| error("nd_gr : unsupported order"); |
switch ( ord->id ) { |
| switch ( ord->ord.simple ) { |
case 1: |
| case 0: |
if ( ord->nv != nvar ) |
| is_rlex = 1; |
error("nd_check : invalid order specification"); |
| break; |
break; |
| case 1: |
default: |
| is_rlex = 0; |
break; |
| break; |
} |
| default: |
nd_init_ord(ord); |
| error("nd_gr : unsupported order"); |
nd_bpe = QTOS((Q)ARG7(BDY(tlist))); |
| |
nd_setup_parameters(nvar,0); |
| |
|
| |
len = length(BDY(f)); |
| |
db = (NDV *)MALLOC(len*sizeof(NDV *)); |
| |
for ( i = 0, t = BDY(f); t; i++, t = NEXT(t) ) { |
| |
ptozp((P)BDY(t),1,&dmy,&zp); |
| |
b = ptondv(CO,vv,zp); |
| |
ndv_mod(m,b); |
| |
ndv_mul_c(m,b,invm(HCM(b),m)); |
| |
db[i] = b; |
| |
} |
| |
|
| |
permtrace = BDY((LIST)ARG2(BDY(tlist))); |
| |
intred = BDY((LIST)ARG3(BDY(tlist))); |
| |
ind = BDY((LIST)ARG4(BDY(tlist))); |
| |
perm = BDY((LIST)ARG0(permtrace)); |
| |
trace = NEXT(permtrace); |
| |
|
| |
for ( i = length(perm)-1, t = trace; t; t = NEXT(t) ) { |
| |
j = QTOS((Q)ARG0(BDY((LIST)BDY(t)))); |
| |
if ( j > i ) i = j; |
| } |
} |
| initd(ord); |
n = i+1; |
| nd_mod = m; |
pb = (NDV *)MALLOC(n*sizeof(NDV *)); |
| for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) { |
for ( t = perm, i = 0; t; t = NEXT(t), i++ ) { |
| ptod(CO,vv,(P)BDY(t),&b); |
ti = BDY((LIST)BDY(t)); |
| _dp_mod(b,m,0,&c); |
pb[QTOS((Q)ARG0(ti))] = db[QTOS((Q)ARG1(ti))]; |
| if ( c ) { |
|
| NEXTNODE(fd0,fd); BDY(fd) = (pointer)c; |
|
| } |
|
| } |
} |
| if ( fd0 ) NEXT(fd) = 0; |
for ( t = trace; t; t = NEXT(t) ) { |
| s = nd_setup(fd0); |
ti = BDY((LIST)BDY(t)); |
| x = nd_gb(s); |
pb[QTOS((Q)ARG0(ti))] = recompute_trace(BDY((LIST)ARG1(ti)),pb,m); |
| |
if ( !pb[QTOS((Q)ARG0(ti))] ) { *rp = 0; return; } |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"."); fflush(asir_out); |
| |
} |
| |
} |
| |
for ( t = intred; t; t = NEXT(t) ) { |
| |
ti = BDY((LIST)BDY(t)); |
| |
pb[QTOS((Q)ARG0(ti))] = recompute_trace(BDY((LIST)ARG1(ti)),pb,m); |
| |
if ( !pb[QTOS((Q)ARG0(ti))] ) { *rp = 0; return; } |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"*"); fflush(asir_out); |
| |
} |
| |
} |
| |
for ( r0 = 0, t = ind; t; t = NEXT(t) ) { |
| |
NEXTNODE(r0,r); |
| |
b = pb[QTOS((Q)BDY(t))]; |
| |
ndv_mul_c(m,b,invm(HCM(b),m)); |
| #if 0 |
#if 0 |
| x = nd_reduceall(x,m); |
BDY(r) = ndvtop(m,CO,vv,pb[QTOS((Q)BDY(t))]); |
| |
#else |
| |
BDY(r) = ndvtodp(m,pb[QTOS((Q)BDY(t))]); |
| #endif |
#endif |
| for ( r0 = 0; x; x = NEXT(x) ) { |
} |
| NEXTNODE(r0,r); |
if ( r0 ) NEXT(r) = 0; |
| a = ndtodp(nd_ps[(int)BDY(x)]); |
MKLIST(*rp,r0); |
| _dtop_mod(CO,vv,a,(P *)&BDY(r)); |
if ( DP_Print ) fprintf(asir_out,"\n"); |
| } |
|
| if ( r0 ) NEXT(r) = 0; |
|
| MKLIST(*rp,r0); |
|
| fprintf(asir_out,"found=%d,notfirst=%d,create=%d\n", |
|
| nd_found,nd_notfirst,nd_create); |
|
| } |
} |
| |
|
| void dltondl(int n,DL dl,unsigned int *r) |
void nd_gr_trace(LIST f,LIST v,int trace,int homo,int f4,struct order_spec *ord,LIST *rp) |
| { |
{ |
| unsigned int *d; |
VL tv,fv,vv,vc,av; |
| int i; |
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,bpe; |
| |
|
| d = dl->d; |
nd_module = 0; |
| bzero(r,nd_wpd*sizeof(unsigned int)); |
nd_lf = 0; |
| if ( is_rlex ) |
parse_nd_option(current_option); |
| for ( i = 0; i < n; i++ ) |
if ( nd_lf ) { |
| r[(n-1-i)/nd_epw] |= (d[i]<<((nd_epw-((n-1-i)%nd_epw)-1)*nd_bpe)); |
if ( f4 ) |
| else |
nd_f4_lf_trace(f,v,trace,homo,ord,rp); |
| for ( i = 0; i < n; i++ ) |
else |
| r[i/nd_epw] |= d[i]<<((nd_epw-(i%nd_epw)-1)*nd_bpe); |
error("nd_gr_trace is not implemented yet over a large finite field"); |
| |
return; |
| |
} |
| |
if ( DP_Multiple ) |
| |
nd_scale = ((double)DP_Multiple)/(double)(Denominator?Denominator:1); |
| |
|
| |
get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc); |
| |
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); |
| |
switch ( ord->id ) { |
| |
case 1: |
| |
if ( ord->nv != nvar ) |
| |
error("nd_gr_trace : invalid order specification"); |
| |
break; |
| |
default: |
| |
break; |
| |
} |
| |
|
| |
get_algtree((Obj)f,&av); |
| |
for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++ ); |
| |
nd_ntrans = nvar; |
| |
nd_nalg = nalg; |
| |
/* #i -> t#i */ |
| |
if ( nalg ) { |
| |
preprocess_algcoef(vv,av,ord,f,&ord1,&f1,&alist); |
| |
ord = ord1; |
| |
f = f1; |
| |
} |
| |
nvar += nalg; |
| |
|
| |
nocheck = 0; |
| |
mindex = 0; |
| |
|
| |
if ( Demand ) nd_demand = 1; |
| |
else nd_demand = 0; |
| |
|
| |
/* setup modulus */ |
| |
if ( trace < 0 ) { |
| |
trace = -trace; |
| |
nocheck = 1; |
| |
} |
| |
m = trace > 1 ? trace : get_lprime(mindex); |
| |
nd_init_ord(ord); |
| |
mrank = 0; |
| |
for ( t = BDY(f), max = 1; t; t = NEXT(t) ) |
| |
for ( tv = vv; tv; tv = NEXT(tv) ) { |
| |
if ( nd_module ) { |
| |
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 ( !nd_gentrace ) pltozpl((LIST)BDY(t),&dmy,&zpl); |
| |
else zpl = (LIST)BDY(t); |
| |
c = (pointer)pltondv(CO,vv,zpl); |
| |
} else { |
| |
if ( !nd_gentrace ) ptozp((P)BDY(t),1,&dmy,&zp); |
| |
else zp = (P)BDY(t); |
| |
c = (pointer)ptondv(CO,vv,zp); |
| |
} |
| |
if ( ishomo ) |
| |
ishomo = ishomo && ndv_ishomo(c); |
| |
if ( c ) { |
| |
NEXTNODE(in0,in); BDY(in) = (pointer)c; |
| |
NEXTNODE(fd0,fd); BDY(fd) = (pointer)ndv_dup(0,c); |
| |
} |
| |
} |
| |
if ( in0 ) NEXT(in) = 0; |
| |
if ( fd0 ) NEXT(fd) = 0; |
| |
if ( !ishomo && homo ) { |
| |
for ( t = in0, wmax = max; t; t = NEXT(t) ) { |
| |
c = (NDV)BDY(t); len = LEN(c); |
| |
for ( a = BDY(c), i = 0; i < len; i++, NMV_ADV(a) ) |
| |
wmax = MAX(TD(DL(a)),wmax); |
| |
} |
| |
homogenize_order(ord,nvar,&ord1); |
| |
nd_init_ord(ord1); |
| |
nd_setup_parameters(nvar+1,wmax); |
| |
for ( t = fd0; t; t = NEXT(t) ) |
| |
ndv_homogenize((NDV)BDY(t),obpe,oadv,oepos,ompos); |
| |
} |
| |
if ( MaxDeg > 0 ) nocheck = 1; |
| |
while ( 1 ) { |
| |
tl1 = tl2 = tl3 = tl4 = 0; |
| |
if ( Demand ) |
| |
nd_demand = 1; |
| |
ret = ndv_setup(m,1,fd0,nd_gbblock?1:0,0); |
| |
if ( nd_gentrace ) { |
| |
MKLIST(l1,nd_tracelist); MKNODE(nd_alltracelist,l1,0); |
| |
} |
| |
if ( ret ) |
| |
cand = f4?nd_f4_trace(m,&perm):nd_gb_trace(m,ishomo || homo,&perm); |
| |
if ( !ret || !cand ) { |
| |
/* failure */ |
| |
if ( trace > 1 ) { *rp = 0; return; } |
| |
else m = get_lprime(++mindex); |
| |
continue; |
| |
} |
| |
if ( !ishomo && homo ) { |
| |
/* dehomogenization */ |
| |
for ( t = cand; t; t = NEXT(t) ) ndv_dehomogenize((NDV)BDY(t),ord); |
| |
nd_init_ord(ord); |
| |
nd_setup_parameters(nvar,0); |
| |
} |
| |
nd_demand = 0; |
| |
cand = ndv_reducebase(cand,perm); |
| |
if ( nd_gentrace ) { tl1 = nd_alltracelist; nd_alltracelist = 0; } |
| |
cand = ndv_reduceall(0,cand); |
| |
cbpe = nd_bpe; |
| |
if ( nd_gentrace ) { tl2 = nd_alltracelist; nd_alltracelist = 0; } |
| |
get_eg(&eg0); |
| |
if ( nocheck ) |
| |
break; |
| |
if ( ret = ndv_check_membership(0,in0,obpe,oadv,oepos,cand) ) { |
| |
if ( nd_gentrace ) { |
| |
tl3 = nd_alltracelist; nd_alltracelist = 0; |
| |
} else tl3 = 0; |
| |
/* gbcheck : cand is a GB of Id(cand) ? */ |
| |
if ( nd_vc || nd_gentrace || nd_gensyz ) |
| |
ret = nd_gb(0,0,1,nd_gensyz?1:0,0)!=0; |
| |
else |
| |
ret = nd_f4(0,1,0)!=0; |
| |
if ( nd_gentrace && nd_gensyz ) { |
| |
tl4 = nd_alltracelist; nd_alltracelist = 0; |
| |
} else tl4 = 0; |
| |
} |
| |
if ( ret ) break; |
| |
else if ( trace > 1 ) { |
| |
/* failure */ |
| |
*rp = 0; return; |
| |
} else { |
| |
/* try the next modulus */ |
| |
m = get_lprime(++mindex); |
| |
/* reset the parameters */ |
| |
if ( !ishomo && homo ) { |
| |
nd_init_ord(ord1); |
| |
nd_setup_parameters(nvar+1,wmax); |
| |
} else { |
| |
nd_init_ord(ord); |
| |
nd_setup_parameters(nvar,max); |
| |
} |
| |
} |
| |
} |
| |
get_eg(&eg1); init_eg(&eg_check); add_eg(&eg_check,&eg0,&eg1); |
| |
if ( DP_Print ) |
| |
fprintf(asir_out,"check=%.3fsec,",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 ( nd_nalg ) |
| |
cand = postprocess_algcoef(av,alist,cand); |
| |
MKLIST(*rp,cand); |
| |
if ( nd_gentrace ) { |
| |
tl1 = reverse_node(tl1); tl2 = reverse_node(tl2); |
| |
tl3 = reverse_node(tl3); |
| |
/* tl2 = [[i,[[*,j,*,*],...]],...] */ |
| |
for ( t = tl2; t; t = NEXT(t) ) { |
| |
/* s = [i,[*,j,*,*],...] */ |
| |
s = BDY((LIST)BDY(t)); |
| |
j = perm[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); |
| |
STOQ(nd_bpe,bpe); |
| |
tr = mknode(8,*rp,(!ishomo&&homo)?ONE:0,l1,l2,l3,l4,l5,bpe); MKLIST(*rp,tr); |
| |
} |
| } |
} |
| |
|
| DL ndltodl(int n,int td,unsigned int *ndl) |
/* XXX : module element is not considered */ |
| |
|
| |
void dltondl(int n,DL dl,UINT *r) |
| { |
{ |
| DL dl; |
UINT *d; |
| int *d; |
int i,j,l,s,ord_l; |
| int i; |
struct order_pair *op; |
| |
|
| NEWDL(dl,n); |
d = dl->d; |
| dl->td = td; |
for ( i = 0; i < nd_wpd; i++ ) r[i] = 0; |
| d = dl->d; |
if ( nd_blockmask ) { |
| if ( is_rlex ) |
l = nd_blockmask->n; |
| for ( i = 0; i < n; i++ ) |
op = nd_blockmask->order_pair; |
| d[i] = (ndl[(n-1-i)/nd_epw]>>((nd_epw-((n-1-i)%nd_epw)-1)*nd_bpe)) |
for ( j = 0, s = 0; j < l; j++ ) { |
| &((1<<nd_bpe)-1); |
ord_l = op[j].length; |
| else |
for ( i = 0; i < ord_l; i++, s++ ) PUT_EXP(r,s,d[s]); |
| for ( i = 0; i < n; i++ ) |
} |
| d[i] = (ndl[i/nd_epw]>>((nd_epw-(i%nd_epw)-1)*nd_bpe)) |
TD(r) = ndl_weight(r); |
| &((1<<nd_bpe)-1); |
ndl_weight_mask(r); |
| return dl; |
} else { |
| |
for ( i = 0; i < n; i++ ) PUT_EXP(r,i,d[i]); |
| |
TD(r) = ndl_weight(r); |
| |
} |
| } |
} |
| |
|
| ND dptond(DP p) |
DL ndltodl(int n,UINT *ndl) |
| { |
{ |
| ND d; |
DL dl; |
| NM m0,m; |
int *d; |
| MP t; |
int i,j,l,s,ord_l; |
| int n; |
struct order_pair *op; |
| |
|
| if ( !p ) |
NEWDL(dl,n); |
| return 0; |
dl->td = TD(ndl); |
| n = NV(p); |
d = dl->d; |
| m0 = 0; |
if ( nd_blockmask ) { |
| for ( t = BDY(p); t; t = NEXT(t) ) { |
l = nd_blockmask->n; |
| NEXTNM(m0,m); |
op = nd_blockmask->order_pair; |
| m->c = ITOS(t->c); |
for ( j = 0, s = 0; j < l; j++ ) { |
| m->td = t->dl->td; |
ord_l = op[j].length; |
| dltondl(n,t->dl,m->dl); |
for ( i = 0; i < ord_l; i++, s++ ) d[s] = GET_EXP(ndl,s); |
| } |
} |
| NEXT(m) = 0; |
} else { |
| MKND(n,m0,d); |
for ( i = 0; i < n; i++ ) d[i] = GET_EXP(ndl,i); |
| d->nv = n; |
} |
| d->sugar = p->sugar; |
return dl; |
| return d; |
|
| } |
} |
| |
|
| DP ndtodp(ND p) |
void nmtodp(int mod,NM m,DP *r) |
| { |
{ |
| DP d; |
DP dp; |
| MP m0,m; |
MP mr; |
| NM t; |
|
| int n; |
|
| |
|
| if ( !p ) |
NEWMP(mr); |
| return 0; |
mr->dl = ndltodl(nd_nvar,DL(m)); |
| n = NV(p); |
mr->c = (Obj)ndctop(mod,m->c); |
| m0 = 0; |
NEXT(mr) = 0; MKDP(nd_nvar,mr,dp); dp->sugar = mr->dl->td; |
| for ( t = BDY(p); t; t = NEXT(t) ) { |
*r = dp; |
| NEXTMP(m0,m); |
|
| m->c = STOI(t->c); |
|
| m->dl = ndltodl(n,t->td,t->dl); |
|
| } |
|
| NEXT(m) = 0; |
|
| MKDP(n,m0,d); |
|
| d->sugar = p->sugar; |
|
| return d; |
|
| } |
} |
| |
|
| void ndl_print(unsigned int *dl) |
void ndl_print(UINT *dl) |
| { |
{ |
| int n; |
int n; |
| int i; |
int i,j,l,ord_l,s,s0; |
| |
struct order_pair *op; |
| |
|
| n = nd_nvar; |
n = nd_nvar; |
| printf("<<"); |
printf("<<"); |
| if ( is_rlex ) |
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]>>((nd_epw-((n-1-i)%nd_epw)-1)*nd_bpe)) |
for ( j = 0, s = s0 = 0; j < l; j++ ) { |
| &((1<<nd_bpe)-1)); |
ord_l = op[j].length; |
| else |
for ( i = 0; i < ord_l; i++, s++ ) |
| for ( i = 0; i < n; i++ ) |
printf(s==n-1?"%d":"%d,",GET_EXP(dl,s)); |
| printf(i==n-1?"%d":"%d,", |
} |
| (dl[i/nd_epw]>>((nd_epw-(i%nd_epw)-1)*nd_bpe)) |
} else { |
| &((1<<nd_bpe)-1)); |
for ( i = 0; i < n; i++ ) printf(i==n-1?"%d":"%d,",GET_EXP(dl,i)); |
| printf(">>"); |
} |
| |
printf(">>"); |
| |
if ( nd_module && MPOS(dl) ) |
| |
printf("*e%d",MPOS(dl)); |
| } |
} |
| |
|
| void nd_print(ND p) |
void nd_print(ND p) |
| { |
{ |
| NM m; |
NM m; |
| |
|
| if ( !p ) |
if ( !p ) |
| printf("0\n"); |
printf("0\n"); |
| else { |
else { |
| for ( m = BDY(p); m; m = NEXT(m) ) { |
for ( m = BDY(p); m; m = NEXT(m) ) { |
| printf("+%d*",m->c); |
if ( CM(m) & 0x80000000 ) printf("+@_%d*",IFTOF(CM(m))); |
| ndl_print(m->dl); |
else printf("+%d*",CM(m)); |
| } |
ndl_print(DL(m)); |
| printf("\n"); |
} |
| } |
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) |
void ndp_print(ND_pairs d) |
| { |
{ |
| ND_pairs t; |
ND_pairs t; |
| |
|
| for ( t = d; t; t = NEXT(t) ) { |
for ( t = d; t; t = NEXT(t) ) printf("%d,%d ",t->i1,t->i2); |
| printf("%d,%d ",t->i1,t->i2); |
printf("\n"); |
| } |
|
| printf("\n"); |
|
| } |
} |
| |
|
| void nd_monic(ND p) |
void nd_removecont(int mod,ND p) |
| { |
{ |
| if ( !p ) |
int i,n; |
| return; |
Q *w; |
| else |
Q dvr,t; |
| nd_mul_c(p,invm(HC(p),nd_mod)); |
NM m; |
| |
struct oVECT v; |
| |
N q,r; |
| |
|
| |
if ( mod == -1 ) nd_mul_c(mod,p,_invsf(HCM(p))); |
| |
else if ( mod == -2 ) { |
| |
GZ inv; |
| |
divlf(ONEGZ,HCZ(p),&inv); |
| |
nd_mul_c_lf(p,inv); |
| |
} else if ( mod ) nd_mul_c(mod,p,invm(HCM(p),mod)); |
| |
else { |
| |
for ( m = BDY(p), n = 0; m; m = NEXT(m), n++ ); |
| |
w = (Q *)MALLOC(n*sizeof(Q)); |
| |
v.len = n; |
| |
v.body = (pointer *)w; |
| |
for ( m = BDY(p), i = 0; i < n; m = NEXT(m), i++ ) w[i] = 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_mul_c(ND p,int mul) |
void nd_removecont2(ND p1,ND p2) |
| { |
{ |
| NM m; |
int i,n1,n2,n; |
| int c,c1; |
Q *w; |
| |
Q dvr,t; |
| |
NM m; |
| |
struct oVECT v; |
| |
N q,r; |
| |
|
| if ( !p ) |
n1 = nd_length(p1); |
| return; |
n2 = nd_length(p2); |
| for ( m = BDY(p); m; m = NEXT(m) ) { |
n = n1+n2; |
| c1 = C(m); |
w = (Q *)MALLOC(n*sizeof(Q)); |
| DMAR(c1,mul,0,nd_mod,c); |
v.len = n; |
| C(m) = c; |
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 == -2 ) { |
| |
GZ inv; |
| |
divlf(ONEGZ,HCZ(p),&inv); |
| |
ndv_mul_c_lf(p,inv); |
| |
} else if ( mod ) |
| |
ndv_mul_c(mod,p,invm(HCM(p),mod)); |
| |
else { |
| |
len = p->len; |
| |
w = (P *)MALLOC(len*sizeof(P)); |
| |
c = (Q *)MALLOC(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 = 1; i < len; NMV_OADV(m), i++ ) |
| |
max = MAX(max,TD(DL(m))); |
| |
mr0 = nmv_adv>oadv?(NMV)REALLOC(BDY(p),len*nmv_adv):BDY(p); |
| |
m = (NMV)((char *)mr0+(len-1)*oadv); |
| |
mr = (NMV)((char *)mr0+(len-1)*nmv_adv); |
| |
t = (NMV)MALLOC(nmv_adv); |
| |
for ( i = 0; i < len; i++, NMV_OPREV(m), NMV_PREV(mr) ) { |
| |
ndl_homogenize(DL(m),DL(t),obpe,oepos,ompos,max); |
| |
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 *)MALLOC(m*sizeof(P)); |
| |
tpl1 = (P *)MALLOC(m*sizeof(P)); |
| |
bcopy(pl,tpl,m*sizeof(P)); |
| |
gcd = (P)ONE; |
| |
for ( l = nd_hcf; l; l = NEXT(l) ) { |
| |
h = (P)BDY(l); |
| |
while ( 1 ) { |
| |
for ( i = 0; i < m; i++ ) |
| |
if ( !divtpz(vl,tpl[i],h,&tpl1[i]) ) |
| |
break; |
| |
if ( i == m ) { |
| |
bcopy(tpl1,tpl,m*sizeof(P)); |
| |
mulp(vl,gcd,h,&t); gcd = t; |
| |
} else |
| |
break; |
| |
} |
| |
} |
| |
if ( DP_Print > 2 ){fprintf(asir_out,"[%d]",nmonop(gcd)); fflush(asir_out);} |
| |
if ( full ) { |
| |
heu_nezgcdnpz(vl,tpl,m,&t); |
| |
mulp(vl,gcd,t,pr); |
| |
} else |
| |
*pr = gcd; |
| |
} |
| |
|
| |
void removecont_array(P *p,int n,int full) |
| |
{ |
| |
int all_p,all_q,i; |
| |
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 *)MALLOC(n*sizeof(Q)); |
| |
w = (P *)MALLOC(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 *)MALLOC(n*sizeof(Q)); |
| |
r = (Q *)MALLOC(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_lf(ND p,GZ mul) |
| |
{ |
| |
NM m; |
| |
GZ c; |
| |
|
| |
if ( !p ) return; |
| |
if ( UNIGZ(mul) ) return; |
| |
for ( m = BDY(p); m; m = NEXT(m) ) { |
| |
mullf(CZ(m),mul,&c); CZ(m) = c; |
| |
} |
| |
} |
| |
|
| |
void nd_mul_c_q(ND p,P mul) |
| |
{ |
| |
NM m; |
| |
P c; |
| |
|
| |
if ( !p ) return; |
| |
if ( UNIQ(mul) ) return; |
| |
for ( m = BDY(p); m; m = NEXT(m) ) { |
| |
mulp(nd_vc,CP(m),mul,&c); CP(m) = c; |
| |
} |
| |
} |
| |
|
| |
void nd_mul_c_p(VL vl,ND p,P mul) |
| |
{ |
| |
NM m; |
| |
P c; |
| |
|
| |
if ( !p ) return; |
| |
for ( m = BDY(p); m; m = NEXT(m) ) { |
| |
mulp(vl,CP(m),mul,&c); CP(m) = c; |
| |
} |
| |
} |
| |
|
| void nd_free(ND p) |
void nd_free(ND p) |
| { |
{ |
| NM t,s; |
NM t,s; |
| |
|
| if ( !p ) |
if ( !p ) return; |
| return; |
t = BDY(p); |
| t = BDY(p); |
while ( t ) { |
| while ( t ) { |
s = NEXT(t); |
| s = NEXT(t); |
FREENM(t); |
| FREENM(t); |
t = s; |
| t = s; |
} |
| } |
FREEND(p); |
| FREEND(p); |
|
| } |
} |
| |
|
| void nd_append_red(unsigned int *d,int td,int i) |
void ndv_free(NDV p) |
| { |
{ |
| NM m,m0; |
GCFREE(BDY(p)); |
| int h; |
} |
| |
|
| NEWNM(m); |
void nd_append_red(UINT *d,int i) |
| h = ndl_hash_value(td,d); |
{ |
| m->c = i; |
RHist m,m0; |
| m->td = td; |
int h; |
| bcopy(d,m->dl,nd_wpd*sizeof(unsigned int)); |
|
| NEXT(m) = nd_red[h]; |
NEWRHist(m); |
| nd_red[h] = m; |
h = ndl_hash_value(d); |
| |
m->index = i; |
| |
ndl_copy(d,DL(m)); |
| |
NEXT(m) = nd_red[h]; |
| |
nd_red[h] = m; |
| } |
} |
| |
|
| unsigned int *dp_compute_bound(DP p) |
UINT *ndv_compute_bound(NDV p) |
| { |
{ |
| unsigned int *d,*d1,*d2,*t; |
UINT *d1,*d2,*t; |
| MP m; |
UINT u; |
| int i; |
int i,j,k,l,len,ind; |
| |
NMV m; |
| |
|
| if ( !p ) |
if ( !p ) |
| return 0; |
return 0; |
| d1 = (unsigned int *)ALLOCA(nd_nvar*sizeof(unsigned int)); |
d1 = (UINT *)MALLOC(nd_wpd*sizeof(UINT)); |
| d2 = (unsigned int *)ALLOCA(nd_nvar*sizeof(unsigned int)); |
d2 = (UINT *)MALLOC(nd_wpd*sizeof(UINT)); |
| m = BDY(p); |
len = LEN(p); |
| bcopy(m->dl->d,d1,nd_nvar*sizeof(unsigned int)); |
m = BDY(p); ndl_copy(DL(m),d1); NMV_ADV(m); |
| for ( m = NEXT(BDY(p)); m; m = NEXT(m) ) { |
for ( i = 1; i < len; i++, NMV_ADV(m) ) { |
| d = m->dl->d; |
ndl_max(DL(m),d1,d2); |
| for ( i = 0; i < nd_nvar; i++ ) |
t = d1; d1 = d2; d2 = t; |
| d2[i] = d[i] > d1[i] ? d[i] : d1[i]; |
} |
| t = d1; d1 = d2; d2 = t; |
l = nd_nvar+31; |
| } |
t = (UINT *)MALLOC_ATOMIC(l*sizeof(UINT)); |
| t = (unsigned int *)MALLOC_ATOMIC(nd_nvar*sizeof(unsigned int)); |
for ( i = nd_exporigin, ind = 0; i < nd_wpd; i++ ) { |
| bcopy(d1,t,nd_nvar*sizeof(unsigned int)); |
u = d1[i]; |
| return t; |
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; |
| } |
} |
| |
|
| unsigned int *nd_compute_bound(ND p) |
UINT *nd_compute_bound(ND p) |
| { |
{ |
| unsigned int *d1,*d2,*t; |
UINT *d1,*d2,*t; |
| int i; |
UINT u; |
| NM m; |
int i,j,k,l,len,ind; |
| |
NM m; |
| |
|
| if ( !p ) |
if ( !p ) |
| return 0; |
return 0; |
| d1 = (unsigned int *)ALLOCA(nd_wpd*sizeof(unsigned int)); |
d1 = (UINT *)MALLOC(nd_wpd*sizeof(UINT)); |
| d2 = (unsigned int *)ALLOCA(nd_wpd*sizeof(unsigned int)); |
d2 = (UINT *)MALLOC(nd_wpd*sizeof(UINT)); |
| bcopy(HDL(p),d1,nd_wpd*sizeof(unsigned int)); |
len = LEN(p); |
| for ( m = NEXT(BDY(p)); m; m = NEXT(m) ) { |
m = BDY(p); ndl_copy(DL(m),d1); m = NEXT(m); |
| ndl_lcm(m->dl,d1,d2); |
for ( m = NEXT(m); m; m = NEXT(m) ) { |
| t = d1; d1 = d2; d2 = t; |
ndl_lcm(DL(m),d1,d2); |
| } |
t = d1; d1 = d2; d2 = t; |
| t = (unsigned int *)MALLOC_ATOMIC(nd_nvar*sizeof(unsigned int)); |
} |
| bzero(t,nd_nvar*sizeof(unsigned int)); |
l = nd_nvar+31; |
| for ( i = 0; i < nd_nvar; i++ ) |
t = (UINT *)MALLOC_ATOMIC(l*sizeof(UINT)); |
| t[i] = (d1[i/nd_epw]>>((nd_epw-(i%nd_epw)-1)*nd_bpe))&nd_mask0; |
for ( i = nd_exporigin, ind = 0; i < nd_wpd; i++ ) { |
| return t; |
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; |
| } |
} |
| |
|
| void nd_setup_parameters() { |
/* if nd_module == 1 then d[nd_exporigin-1] indicates the position */ |
| int i; |
/* of a term. In this case we need additional 1 word. */ |
| |
|
| nd_epw = (sizeof(unsigned int)*8)/nd_bpe; |
int nd_get_exporigin(struct order_spec *ord) |
| nd_wpd = nd_nvar/nd_epw+(nd_nvar%nd_epw?1:0); |
{ |
| if ( nd_bpe < 32 ) { |
switch ( ord->id ) { |
| nd_mask0 = (1<<nd_bpe)-1; |
case 0: case 2: case 256: case 258: |
| } else { |
return 1+nd_module; |
| nd_mask0 = 0xffffffff; |
case 1: case 257: |
| } |
/* block order */ |
| bzero(nd_mask,sizeof(nd_mask)); |
/* poly ring d[0]:weight d[1]:w0,...,d[nd_exporigin-1]:w(n-1) */ |
| nd_mask1 = 0; |
/* module d[0]:weight d[1]:w0,...,d[nd_exporigin-2]:w(n-1) */ |
| for ( i = 0; i < nd_epw; i++ ) { |
return ord->ord.block.length+1+nd_module; |
| nd_mask[nd_epw-i-1] = (nd_mask0<<(i*nd_bpe)); |
case 3: case 259: |
| nd_mask1 |= (1<<(nd_bpe-1))<<(i*nd_bpe); |
#if 0 |
| } |
error("nd_get_exporigin : composite order is not supported yet."); |
| #if USE_NDV |
#else |
| nmv_adv = sizeof(struct oNMV)+(nd_wpd-1)*sizeof(unsigned int); |
return 1+nd_module; |
| #endif |
#endif |
| |
} |
| } |
} |
| |
|
| ND_pairs nd_reconstruct(ND_pairs d) |
void nd_setup_parameters(int nvar,int max) { |
| |
int i,j,n,elen,ord_o,ord_l,l,s,wpd; |
| |
struct order_pair *op; |
| |
|
| |
nd_nvar = nvar; |
| |
if ( max ) { |
| |
/* XXX */ |
| |
if ( do_weyl ) nd_bpe = 32; |
| |
else if ( max < 2 ) nd_bpe = 1; |
| |
else if ( max < 4 ) nd_bpe = 2; |
| |
else if ( max < 8 ) nd_bpe = 3; |
| |
else if ( max < 16 ) nd_bpe = 4; |
| |
else if ( max < 32 ) nd_bpe = 5; |
| |
else if ( max < 64 ) nd_bpe = 6; |
| |
else if ( max < 256 ) nd_bpe = 8; |
| |
else if ( max < 1024 ) nd_bpe = 10; |
| |
else if ( max < 65536 ) nd_bpe = 16; |
| |
else nd_bpe = 32; |
| |
} |
| |
if ( !do_weyl && weight_check && (current_dl_weight_vector || nd_matrix) ) { |
| |
UINT t; |
| |
int st; |
| |
int *v; |
| |
/* t = max(weights) */ |
| |
t = 0; |
| |
if ( current_dl_weight_vector ) |
| |
for ( i = 0, t = 0; i < nd_nvar; i++ ) { |
| |
if ( (st=current_dl_weight_vector[i]) < 0 ) st = -st; |
| |
if ( t < st ) t = st; |
| |
} |
| |
if ( nd_matrix ) |
| |
for ( i = 0; i < nd_matrix_len; i++ ) |
| |
for ( j = 0, v = nd_matrix[i]; j < nd_nvar; j++ ) { |
| |
if ( (st=v[j]) < 0 ) st = -st; |
| |
if ( t < st ) t = st; |
| |
} |
| |
/* i = bitsize of t */ |
| |
for ( i = 0; t; t >>=1, i++ ); |
| |
/* i += bitsize of nd_nvar */ |
| |
for ( t = nd_nvar; t; t >>=1, i++); |
| |
/* nd_bpe+i = bitsize of max(weights)*max(exp)*nd_nvar */ |
| |
if ( (nd_bpe+i) >= 31 ) |
| |
error("nd_setup_parameters : too large weight"); |
| |
} |
| |
nd_epw = (sizeof(UINT)*8)/nd_bpe; |
| |
elen = nd_nvar/nd_epw+(nd_nvar%nd_epw?1:0); |
| |
nd_exporigin = nd_get_exporigin(nd_ord); |
| |
wpd = nd_exporigin+elen; |
| |
if ( nd_module ) |
| |
nd_mpos = nd_exporigin-1; |
| |
else |
| |
nd_mpos = -1; |
| |
if ( wpd != nd_wpd ) { |
| |
nd_free_private_storage(); |
| |
nd_wpd = wpd; |
| |
} |
| |
if ( nd_bpe < 32 ) { |
| |
nd_mask0 = (1<<nd_bpe)-1; |
| |
} else { |
| |
nd_mask0 = 0xffffffff; |
| |
} |
| |
bzero(nd_mask,sizeof(nd_mask)); |
| |
nd_mask1 = 0; |
| |
for ( i = 0; i < nd_epw; i++ ) { |
| |
nd_mask[nd_epw-i-1] = (nd_mask0<<(i*nd_bpe)); |
| |
nd_mask1 |= (1<<(nd_bpe-1))<<(i*nd_bpe); |
| |
} |
| |
nmv_adv = ROUND_FOR_ALIGN(sizeof(struct oNMV)+(nd_wpd-1)*sizeof(UINT)); |
| |
nd_epos = nd_create_epos(nd_ord); |
| |
nd_blockmask = nd_create_blockmask(nd_ord); |
| |
nd_work_vector = (int *)REALLOC(nd_work_vector,nd_nvar*sizeof(int)); |
| |
} |
| |
|
| |
ND_pairs nd_reconstruct(int trace,ND_pairs d) |
| { |
{ |
| int i,obpe; |
int i,obpe,oadv,h; |
| NM prev_nm_free_list; |
static NM prev_nm_free_list; |
| ND_pairs s0,s,t,prev_ndp_free_list; |
static ND_pairs prev_ndp_free_list; |
| |
RHist mr0,mr; |
| obpe = nd_bpe; |
RHist r; |
| if ( obpe < 4 ) |
RHist *old_red; |
| nd_bpe = 4; |
ND_pairs s0,s,t; |
| else if ( obpe < 6 ) |
EPOS oepos; |
| nd_bpe = 6; |
|
| else if ( obpe < 8 ) |
obpe = nd_bpe; |
| nd_bpe = 8; |
oadv = nmv_adv; |
| else if ( obpe < 16 ) |
oepos = nd_epos; |
| nd_bpe = 16; |
if ( obpe < 2 ) nd_bpe = 2; |
| else if ( obpe < 32 ) |
else if ( obpe < 3 ) nd_bpe = 3; |
| nd_bpe = 32; |
else if ( obpe < 4 ) nd_bpe = 4; |
| |
else if ( obpe < 5 ) nd_bpe = 5; |
| |
else if ( obpe < 6 ) nd_bpe = 6; |
| |
else if ( obpe < 8 ) nd_bpe = 8; |
| |
else if ( obpe < 10 ) nd_bpe = 10; |
| |
else if ( obpe < 16 ) nd_bpe = 16; |
| |
else if ( obpe < 32 ) nd_bpe = 32; |
| |
else error("nd_reconstruct : exponent too large"); |
| |
|
| |
nd_setup_parameters(nd_nvar,0); |
| |
prev_nm_free_list = _nm_free_list; |
| |
prev_ndp_free_list = _ndp_free_list; |
| |
_nm_free_list = 0; |
| |
_ndp_free_list = 0; |
| |
for ( i = nd_psn-1; i >= 0; i-- ) { |
| |
ndv_realloc(nd_ps[i],obpe,oadv,oepos); |
| |
ndv_realloc(nd_ps_sym[i],obpe,oadv,oepos); |
| |
ndv_realloc(nd_ps_gz[i],obpe,oadv,oepos); |
| |
} |
| |
if ( trace ) |
| |
for ( i = nd_psn-1; i >= 0; i-- ) { |
| |
ndv_realloc(nd_ps_trace[i],obpe,oadv,oepos); |
| |
ndv_realloc(nd_ps_trace_sym[i],obpe,oadv,oepos); |
| |
} |
| |
s0 = 0; |
| |
for ( t = d; t; t = NEXT(t) ) { |
| |
NEXTND_pairs(s0,s); |
| |
s->i1 = t->i1; |
| |
s->i2 = t->i2; |
| |
SG(s) = SG(t); |
| |
ndl_reconstruct(LCM(t),LCM(s),obpe,oepos); |
| |
} |
| |
|
| |
old_red = (RHist *)MALLOC(REDTAB_LEN*sizeof(RHist)); |
| |
for ( i = 0; i < REDTAB_LEN; i++ ) { |
| |
old_red[i] = nd_red[i]; |
| |
nd_red[i] = 0; |
| |
} |
| |
for ( i = 0; i < REDTAB_LEN; i++ ) |
| |
for ( r = old_red[i]; r; r = NEXT(r) ) { |
| |
NEWRHist(mr); |
| |
mr->index = r->index; |
| |
SG(mr) = SG(r); |
| |
ndl_reconstruct(DL(r),DL(mr),obpe,oepos); |
| |
h = ndl_hash_value(DL(mr)); |
| |
NEXT(mr) = nd_red[h]; |
| |
nd_red[h] = mr; |
| |
} |
| |
for ( i = 0; i < REDTAB_LEN; i++ ) old_red[i] = 0; |
| |
old_red = 0; |
| |
for ( i = 0; i < nd_psn; i++ ) { |
| |
NEWRHist(r); SG(r) = SG(nd_psh[i]); |
| |
ndl_reconstruct(DL(nd_psh[i]),DL(r),obpe,oepos); |
| |
nd_psh[i] = r; |
| |
} |
| |
if ( s0 ) NEXT(s) = 0; |
| |
prev_nm_free_list = 0; |
| |
prev_ndp_free_list = 0; |
| |
#if 0 |
| |
GC_gcollect(); |
| |
#endif |
| |
return s0; |
| |
} |
| |
|
| |
void ndl_reconstruct(UINT *d,UINT *r,int obpe,EPOS oepos) |
| |
{ |
| |
int n,i,ei,oepw,omask0,j,s,ord_l,l; |
| |
struct order_pair *op; |
| |
|
| |
n = nd_nvar; |
| |
oepw = (sizeof(UINT)*8)/obpe; |
| |
omask0 = (1<<obpe)-1; |
| |
TD(r) = TD(d); |
| |
for ( i = nd_exporigin; i < nd_wpd; i++ ) r[i] = 0; |
| |
if ( nd_blockmask ) { |
| |
l = nd_blockmask->n; |
| |
op = nd_blockmask->order_pair; |
| |
for ( i = 1; i < nd_exporigin; i++ ) |
| |
r[i] = d[i]; |
| |
for ( j = 0, s = 0; j < l; j++ ) { |
| |
ord_l = op[j].length; |
| |
for ( i = 0; i < ord_l; i++, s++ ) { |
| |
ei = GET_EXP_OLD(d,s); |
| |
PUT_EXP(r,s,ei); |
| |
} |
| |
} |
| |
} else { |
| |
for ( i = 0; i < n; i++ ) { |
| |
ei = GET_EXP_OLD(d,i); |
| |
PUT_EXP(r,i,ei); |
| |
} |
| |
} |
| |
if ( nd_module ) MPOS(r) = MPOS(d); |
| |
} |
| |
|
| |
ND nd_copy(ND p) |
| |
{ |
| |
NM m,mr,mr0; |
| |
int c,n; |
| |
ND r; |
| |
|
| |
if ( !p ) |
| |
return 0; |
| |
else { |
| |
for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { |
| |
NEXTNM(mr0,mr); |
| |
CM(mr) = CM(m); |
| |
ndl_copy(DL(m),DL(mr)); |
| |
} |
| |
NEXT(mr) = 0; |
| |
MKND(NV(p),mr0,LEN(p),r); |
| |
SG(r) = SG(p); |
| |
return r; |
| |
} |
| |
} |
| |
|
| |
int nd_sp(int mod,int trace,ND_pairs p,ND *rp) |
| |
{ |
| |
NM m1,m2; |
| |
NDV p1,p2; |
| |
ND t1,t2; |
| |
UINT *lcm; |
| |
P gp,tp; |
| |
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 > 0 ) { |
| |
CM(m1) = HCM(p2); CM(m2) = mod-HCM(p1); |
| |
} else if ( mod == -2 ) { |
| |
CZ(m1) = HCZ(p2); chsgnlf(HCZ(p1),&CZ(m2)); |
| |
} else if ( nd_vc ) { |
| |
ezgcdpz(nd_vc,HCP(p1),HCP(p2),&gp); |
| |
divsp(nd_vc,HCP(p2),gp,&CP(m1)); |
| |
divsp(nd_vc,HCP(p1),gp,&tp); chsgnp(tp,&CP(m2)); |
| |
} else { |
| |
igcd_cofactor(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 ( nd_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_lf(NDV p,GZ mul) |
| |
{ |
| |
NMV m; |
| |
GZ c; |
| |
int len,i; |
| |
|
| |
if ( !p ) return; |
| |
len = LEN(p); |
| |
for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) { |
| |
mullf(CZ(m),mul,&c); CZ(m) = c; |
| |
} |
| |
} |
| |
|
| |
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 *)MALLOC(tlen*sizeof(NM)); |
| |
psum = (NM *)MALLOC(tlen*sizeof(NM)); |
| |
for ( i = 0; i < tlen; i++ ) psum[i] = 0; |
| |
m1 = (NMV)(((char *)BDY(p))+nmv_adv*(l-1)); |
| |
for ( i = l-1; i >= 0; i--, NMV_PREV(m1) ) { |
| |
/* m0(NM) * m1(NMV) => tab(NM) */ |
| |
weyl_mul_nm_nmv(n,mod,m0,m1,tab,tlen); |
| |
for ( j = 0; j < tlen; j++ ) { |
| |
if ( tab[j] ) { |
| |
NEXT(tab[j]) = psum[j]; psum[j] = tab[j]; |
| |
} |
| |
} |
| |
} |
| |
for ( i = tlen-1, r = 0; i >= 0; i-- ) |
| |
if ( psum[i] ) { |
| |
for ( j = 0, t = psum[i]; t; t = NEXT(t), j++ ); |
| |
MKND(n,psum[i],j,s); |
| |
r = nd_add(mod,r,s); |
| |
} |
| |
if ( r ) SG(r) = SG(p)+TD(d0); |
| |
return r; |
| |
} |
| |
|
| |
/* product of monomials */ |
| |
/* XXX block order is not handled correctly */ |
| |
|
| |
void weyl_mul_nm_nmv(int n,int mod,NM m0,NMV m1,NM *tab,int tlen) |
| |
{ |
| |
int i,n2,j,s,curlen,homo,h,a,b,k,l,u,min; |
| |
UINT *d0,*d1,*d,*dt,*ctab; |
| |
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 if ( nd_vc ) |
| |
mulp(nd_vc,CP(m0),CP(m1),&CP(m)); |
| else |
else |
| error("nd_reconstruct : exponent too large"); |
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 *)MALLOC((min+1)*sizeof(UINT)); |
| |
mkwcm(k,l,mod,ctab); |
| |
} else { |
| |
ctab_q = (Q *)MALLOC((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 if ( nd_vc ) |
| |
mulp(nd_vc,CP(tab[u]),(P)q,&CP(tab[u])); |
| |
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 if ( nd_vc ) |
| |
mulp(nd_vc,CP(tab[u]),(P)q,&CP(t)); |
| |
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_setup_parameters(); |
ND ndv_mul_nm_symbolic(NM m0,NDV p) |
| prev_nm_free_list = _nm_free_list; |
{ |
| prev_ndp_free_list = _ndp_free_list; |
NM mr,mr0; |
| _nm_free_list = 0; |
NMV m; |
| _ndp_free_list = 0; |
UINT *d,*dt,*dm; |
| for ( i = 0; i < nd_psn; i++ ) { |
int c,n,td,i,c1,c2,len; |
| nd_ps[i] = nd_dup(nd_ps[i],obpe); |
Q q; |
| #if USE_NDV |
ND r; |
| nd_psv[i] = ndtondv(nd_ps[i]); |
|
| |
if ( !p ) return 0; |
| |
else { |
| |
n = NV(p); m = BDY(p); |
| |
d = DL(m0); |
| |
len = LEN(p); |
| |
mr0 = 0; |
| |
td = TD(d); |
| |
c = CM(m0); |
| |
for ( i = 0; i < len; i++, NMV_ADV(m) ) { |
| |
NEXTNM(mr0,mr); |
| |
CM(mr) = 1; |
| |
ndl_add(DL(m),d,DL(mr)); |
| |
} |
| |
NEXT(mr) = 0; |
| |
MKND(NV(p),mr0,len,r); |
| |
SG(r) = SG(p) + TD(d); |
| |
return r; |
| |
} |
| |
} |
| |
|
| |
ND ndv_mul_nm(int mod,NM m0,NDV p) |
| |
{ |
| |
NM mr,mr0; |
| |
NMV m; |
| |
UINT *d,*dt,*dm; |
| |
int c,n,td,i,c1,c2,len; |
| |
P q; |
| |
ND r; |
| |
|
| |
if ( !p ) return 0; |
| |
else if ( do_weyl ) |
| |
if ( mod < 0 ) |
| |
error("ndv_mul_nm : not implemented (weyl)"); |
| |
else |
| |
return weyl_ndv_mul_nm(mod,m0,p); |
| |
else { |
| |
n = NV(p); m = BDY(p); |
| |
d = DL(m0); |
| |
len = LEN(p); |
| |
mr0 = 0; |
| |
td = TD(d); |
| |
if ( mod == -1 ) { |
| |
c = CM(m0); |
| |
for ( i = 0; i < len; i++, NMV_ADV(m) ) { |
| |
NEXTNM(mr0,mr); |
| |
CM(mr) = _mulsf(CM(m),c); |
| |
ndl_add(DL(m),d,DL(mr)); |
| |
} |
| |
} else if ( mod == -2 ) { |
| |
GZ cl; |
| |
cl = CZ(m0); |
| |
for ( i = 0; i < len; i++, NMV_ADV(m) ) { |
| |
NEXTNM(mr0,mr); |
| |
mullf(CZ(m),cl,&CZ(mr)); |
| |
ndl_add(DL(m),d,DL(mr)); |
| |
} |
| |
} else if ( mod ) { |
| |
c = CM(m0); |
| |
for ( i = 0; i < len; i++, NMV_ADV(m) ) { |
| |
NEXTNM(mr0,mr); |
| |
c1 = CM(m); |
| |
DMAR(c1,c,0,mod,c2); |
| |
CM(mr) = c2; |
| |
ndl_add(DL(m),d,DL(mr)); |
| |
} |
| |
} else { |
| |
q = CP(m0); |
| |
for ( i = 0; i < len; i++, NMV_ADV(m) ) { |
| |
NEXTNM(mr0,mr); |
| |
mulp(nd_vc,CP(m),q,&CP(mr)); |
| |
ndl_add(DL(m),d,DL(mr)); |
| |
} |
| |
} |
| |
NEXT(mr) = 0; |
| |
MKND(NV(p),mr0,len,r); |
| |
SG(r) = SG(p) + TD(d); |
| |
return r; |
| |
} |
| |
} |
| |
|
| |
ND nd_quo(int mod,PGeoBucket bucket,NDV d) |
| |
{ |
| |
NM mq0,mq; |
| |
NMV tm; |
| |
Q q; |
| |
int i,nv,sg,c,c1,c2,hindex; |
| |
ND p,t,r; |
| |
N tnm; |
| |
|
| |
if ( bucket->m < 0 ) return 0; |
| |
else { |
| |
nv = NV(d); |
| |
mq0 = 0; |
| |
tm = (NMV)MALLOC(nmv_adv); |
| |
while ( 1 ) { |
| |
if ( mod > 0 || mod == -1 ) |
| |
hindex = head_pbucket(mod,bucket); |
| |
else if ( mod == -2 ) |
| |
hindex = head_pbucket_lf(bucket); |
| |
else |
| |
hindex = head_pbucket_q(bucket); |
| |
if ( hindex < 0 ) break; |
| |
p = bucket->body[hindex]; |
| |
NEXTNM(mq0,mq); |
| |
ndl_sub(HDL(p),HDL(d),DL(mq)); |
| |
ndl_copy(DL(mq),DL(tm)); |
| |
if ( mod ) { |
| |
c1 = invm(HCM(d),mod); c2 = HCM(p); |
| |
DMAR(c1,c2,0,mod,c); CM(mq) = c; |
| |
CM(tm) = mod-c; |
| |
} else { |
| |
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)MALLOC(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>0 || mod==-1)?MALLOC_ATOMIC(len*nmv_adv):MALLOC(len*nmv_adv)); |
| |
for ( t = BDY(p), i = 0; i < len; i++, NMV_ADV(t), NMV_ADV(m) ) { |
| |
ndl_copy(DL(t),DL(m)); |
| |
CQ(m) = CQ(t); |
| |
} |
| |
MKNDV(NV(p),m0,len,d); |
| |
SG(d) = SG(p); |
| |
return d; |
| |
} |
| |
|
| |
NDV ndvtondvgz(NDV p) |
| |
{ |
| |
NDV r; |
| |
int len,i; |
| |
NMV t; |
| |
|
| |
r = ndv_dup(0,p); |
| |
len = LEN(p); |
| |
for ( t = BDY(r), i = 0; i < len; i++, NMV_ADV(t) ) CZ(t) = ztogz(CQ(t)); |
| |
return r; |
| |
} |
| |
|
| |
NDV ndvgztondv(NDV p) |
| |
{ |
| |
NDV r; |
| |
int len,i; |
| |
NMV t; |
| |
|
| |
r = ndv_dup(0,p); |
| |
len = LEN(p); |
| |
for ( t = BDY(r), i = 0; i < len; i++, NMV_ADV(t) ) CQ(t) = gztoz(CZ(t)); |
| |
return r; |
| |
} |
| |
|
| |
NDV ndv_symbolic(int mod,NDV p) |
| |
{ |
| |
NDV d; |
| |
NMV t,m,m0; |
| |
int i,len; |
| |
|
| |
if ( !p ) return 0; |
| |
len = LEN(p); |
| |
m0 = m = (NMV)((mod>0||mod==-1)?MALLOC_ATOMIC(len*nmv_adv):MALLOC(len*nmv_adv)); |
| |
for ( t = BDY(p), i = 0; i < len; i++, NMV_ADV(t), NMV_ADV(m) ) { |
| |
ndl_copy(DL(t),DL(m)); |
| |
CQ(m) = ONE; |
| |
} |
| |
MKNDV(NV(p),m0,len,d); |
| |
SG(d) = SG(p); |
| |
return d; |
| |
} |
| |
|
| |
ND nd_dup(ND p) |
| |
{ |
| |
ND d; |
| |
NM t,m,m0; |
| |
|
| |
if ( !p ) return 0; |
| |
for ( m0 = 0, t = BDY(p); t; t = NEXT(t) ) { |
| |
NEXTNM(m0,m); |
| |
ndl_copy(DL(t),DL(m)); |
| |
CQ(m) = CQ(t); |
| |
} |
| |
if ( m0 ) NEXT(m) = 0; |
| |
MKND(NV(p),m0,LEN(p),d); |
| |
SG(d) = SG(p); |
| |
return d; |
| |
} |
| |
|
| |
ND ndtondgz(ND p) |
| |
{ |
| |
ND r; |
| |
NM t; |
| |
|
| |
r = nd_dup(p); |
| |
for ( t = BDY(r); t; t = NEXT(t) ) CZ(t) = ztogz(CQ(t)); |
| |
return r; |
| |
} |
| |
|
| |
|
| |
ND ndgztond(ND p) |
| |
{ |
| |
ND r; |
| |
NM t; |
| |
|
| |
r = nd_dup(p); |
| |
for ( t = BDY(r); t; t = NEXT(t) ) CQ(t) = gztoz(CZ(t)); |
| |
return r; |
| |
} |
| |
|
| |
|
| |
/* 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); |
| |
if ( gfs ) { |
| |
r = FTOIF(CONT((GFS)gfs)); |
| |
CM(d) = r; |
| |
ndl_copy(DL(t),DL(d)); |
| |
NMV_ADV(d); |
| |
dlen++; |
| |
} |
| |
} |
| |
else if ( mod == -2 ) |
| |
for ( t = d = BDY(p), i = 0; i < len; i++, NMV_ADV(t) ) { |
| |
simp_ff((Obj)CP(t),&gfs); |
| |
if ( gfs ) { |
| |
lmtolf(gfs,&CZ(d)); |
| |
ndl_copy(DL(t),DL(d)); |
| |
NMV_ADV(d); |
| |
dlen++; |
| |
} |
| |
} |
| |
else |
| |
for ( t = d = BDY(p), i = 0; i < len; i++, NMV_ADV(t) ) { |
| |
if ( nd_vc ) { |
| |
nd_subst_vector(nd_vc,CP(t),nd_subst,&cp); |
| |
c = (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 *)MALLOC(n*sizeof(P)); |
| |
cl = (Q *)MALLOC(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 *)MALLOC(k*sizeof(DCP)); |
| |
for ( dc = DC(p), j = 0; j < k; dc = NEXT(dc), j++ ) w[j] = dc; |
| |
for ( i = 0, tvl = dvl, v = VR(p); |
| |
tvl && tvl->v != v; tvl = NEXT(tvl), i++ ); |
| |
if ( !tvl ) { |
| |
for ( j = k-1, s = 0, MKV(v,x); j >= 0; j-- ) { |
| |
t = ptond(vl,dvl,COEF(w[j])); |
| |
pwrp(vl,x,DEG(w[j]),&p); |
| |
nd_mul_c_p(CO,t,p); s = nd_add(0,s,t); |
| |
} |
| |
return s; |
| |
} else { |
| |
NEWNM(m0); d = DL(m0); |
| |
for ( j = k-1, s = 0; j >= 0; j-- ) { |
| |
ndl_zero(d); e = 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 == -2 ) { |
| |
c = (P)gztoz(CZ(m)); |
| |
} else if ( mod > 0 ) { |
| |
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 *)MALLOC((rank+1)*sizeof(P)); |
| |
for ( i = 0; i <= rank; i++ ) a[i] = 0; |
| |
len = LEN(p); |
| |
n = NV(p); |
| |
m = (NMV)(((char *)BDY(p))+nmv_adv*(len-1)); |
| |
for ( j = len-1; j >= 0; j--, NMV_PREV(m) ) { |
| |
if ( mod == -1 ) { |
| |
e = IFTOF(CM(m)); MKGFS(e,gfs); c = (P)gfs; |
| |
} else if ( mod ) { |
| |
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 > 0 || mod == -1 ) |
| |
m0 = m = (NMV)MALLOC_ATOMIC_IGNORE_OFF_PAGE(len*nmv_adv); |
| |
else |
| |
m0 = m = MALLOC(len*nmv_adv); |
| |
#if 0 |
| |
ndv_alloc += nmv_adv*len; |
| #endif |
#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; |
| |
} |
| |
|
| |
DP ndvtodp(int mod,NDV p) |
| |
{ |
| |
MP m,m0; |
| |
DP d; |
| |
NMV t; |
| |
int i,len; |
| |
|
| |
if ( !p ) return 0; |
| |
m0 = 0; |
| |
len = p->len; |
| |
for ( t = BDY(p), i = 0; i < len; NMV_ADV(t), i++ ) { |
| |
NEXTMP(m0,m); |
| |
m->dl = ndltodl(nd_nvar,DL(t)); |
| |
m->c = (Obj)ndctop(mod,t->c); |
| |
} |
| |
NEXT(m) = 0; |
| |
MKDP(nd_nvar,m0,d); |
| |
SG(d) = SG(p); |
| |
return d; |
| |
} |
| |
|
| |
DP ndtodp(int mod,ND p) |
| |
{ |
| |
MP m,m0; |
| |
DP d; |
| |
NM t; |
| |
int i,len; |
| |
|
| |
if ( !p ) return 0; |
| |
m0 = 0; |
| |
len = p->len; |
| |
for ( t = BDY(p); t; t = NEXT(t) ) { |
| |
NEXTMP(m0,m); |
| |
m->dl = ndltodl(nd_nvar,DL(t)); |
| |
m->c = (Obj)ndctop(mod,t->c); |
| |
} |
| |
NEXT(m) = 0; |
| |
MKDP(nd_nvar,m0,d); |
| |
SG(d) = SG(p); |
| |
return d; |
| |
} |
| |
|
| |
void ndv_print(NDV p) |
| |
{ |
| |
NMV m; |
| |
int i,len; |
| |
|
| |
if ( !p ) printf("0\n"); |
| |
else { |
| |
len = LEN(p); |
| |
for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) { |
| |
if ( CM(m) & 0x80000000 ) printf("+@_%d*",IFTOF(CM(m))); |
| |
else printf("+%d*",CM(m)); |
| |
ndl_print(DL(m)); |
| |
} |
| |
printf("\n"); |
| |
} |
| |
} |
| |
|
| |
void ndv_print_q(NDV p) |
| |
{ |
| |
NMV m; |
| |
int i,len; |
| |
|
| |
if ( !p ) printf("0\n"); |
| |
else { |
| |
len = LEN(p); |
| |
for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) { |
| |
printf("+"); |
| |
printexpr(CO,(Obj)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)MALLOC(len*sizeof(struct oNDVI)); |
| |
for ( i = 0, t = x; i < len; i++, t = NEXT(t) ) { |
| |
w[i].p = BDY(t); w[i].i = perm[i]; |
| |
} |
| |
for ( i = 0; i < len; i++ ) { |
| |
for ( j = 0; j < i; j++ ) { |
| |
if ( w[i].p && w[j].p ) |
| |
if ( ndl_reducible(HDL(w[i].p),HDL(w[j].p)) ) w[i].p = 0; |
| |
else if ( ndl_reducible(HDL(w[j].p),HDL(w[i].p)) ) w[j].p = 0; |
| |
} |
| |
} |
| |
for ( i = j = 0, t0 = 0; i < len; i++ ) { |
| |
if ( w[i].p ) { |
| |
NEXTNODE(t0,t); BDY(t) = (pointer)w[i].p; |
| |
perm[j++] = w[i].i; |
| |
} |
| |
} |
| |
NEXT(t) = 0; x = t0; |
| |
return x; |
| |
} |
| |
|
| |
/* XXX incomplete */ |
| |
|
| |
void nd_init_ord(struct order_spec *ord) |
| |
{ |
| |
nd_module = (ord->id >= 256); |
| |
if ( nd_module ) { |
| |
nd_dcomp = -1; |
| |
nd_ispot = ord->ispot; |
| |
nd_pot_nelim = ord->pot_nelim; |
| |
nd_poly_weight_len = ord->nv; |
| |
nd_poly_weight = ord->top_weight; |
| |
nd_module_rank = ord->module_rank; |
| |
nd_module_weight = ord->module_top_weight; |
| |
} |
| |
nd_matrix = 0; |
| |
nd_matrix_len = 0; |
| |
switch ( ord->id ) { |
| |
case 0: |
| |
switch ( ord->ord.simple ) { |
| |
case 0: |
| |
nd_dcomp = 1; |
| |
nd_isrlex = 1; |
| |
break; |
| |
case 1: |
| |
nd_dcomp = 1; |
| |
nd_isrlex = 0; |
| |
break; |
| |
case 2: |
| |
nd_dcomp = 0; |
| |
nd_isrlex = 0; |
| |
ndl_compare_function = ndl_lex_compare; |
| |
break; |
| |
case 11: |
| |
/* XXX */ |
| |
nd_dcomp = 0; |
| |
nd_isrlex = 1; |
| |
ndl_compare_function = ndl_ww_lex_compare; |
| |
break; |
| |
default: |
| |
error("nd_gr : unsupported order"); |
| |
} |
| |
break; |
| |
case 1: |
| |
/* block order */ |
| |
/* XXX */ |
| |
nd_dcomp = -1; |
| |
nd_isrlex = 0; |
| |
ndl_compare_function = ndl_block_compare; |
| |
break; |
| |
case 2: |
| |
/* matrix order */ |
| |
/* XXX */ |
| |
nd_dcomp = -1; |
| |
nd_isrlex = 0; |
| |
nd_matrix_len = ord->ord.matrix.row; |
| |
nd_matrix = ord->ord.matrix.matrix; |
| |
ndl_compare_function = ndl_matrix_compare; |
| |
break; |
| |
case 3: |
| |
/* composite order */ |
| |
nd_dcomp = -1; |
| |
nd_isrlex = 0; |
| |
nd_worb_len = ord->ord.composite.length; |
| |
nd_worb = ord->ord.composite.w_or_b; |
| |
ndl_compare_function = ndl_composite_compare; |
| |
break; |
| |
|
| |
/* module order */ |
| |
case 256: |
| |
switch ( ord->ord.simple ) { |
| |
case 0: |
| |
nd_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 */ |
| |
nd_isrlex = 0; |
| |
ndl_compare_function = ndl_module_block_compare; |
| |
break; |
| |
case 258: |
| |
/* matrix order */ |
| |
nd_isrlex = 0; |
| |
nd_matrix_len = ord->ord.matrix.row; |
| |
nd_matrix = ord->ord.matrix.matrix; |
| |
ndl_compare_function = ndl_module_matrix_compare; |
| |
break; |
| |
case 259: |
| |
/* composite order */ |
| |
nd_isrlex = 0; |
| |
nd_worb_len = ord->ord.composite.length; |
| |
nd_worb = ord->ord.composite.w_or_b; |
| |
ndl_compare_function = ndl_module_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(Obj f,LIST g,LIST v,int m,struct order_spec *ord,Obj *rp) |
| |
{ |
| |
NODE t,in0,in; |
| |
ND ndf,nf; |
| |
NDV ndvf; |
| |
VL vv,tv; |
| |
int stat,nvar,max,mrank; |
| |
union oNDC dn; |
| |
Q cont; |
| |
P pp; |
| |
LIST ppl; |
| |
|
| |
if ( !f ) { |
| |
*rp = 0; |
| |
return; |
| |
} |
| |
pltovl(v,&vv); |
| |
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); |
| |
|
| |
/* max=65536 implies nd_bpe=32 */ |
| |
max = 65536; |
| |
|
| |
nd_module = 0; |
| |
/* nd_module will be set if ord is a module ordering */ |
| |
nd_init_ord(ord); |
| |
nd_setup_parameters(nvar,max); |
| |
if ( nd_module && OID(f) != O_LIST ) |
| |
error("nd_nf_p : the first argument must be a list"); |
| |
if ( nd_module ) mrank = length(BDY((LIST)f)); |
| |
/* conversion to ndv */ |
| |
for ( in0 = 0, t = BDY(g); t; t = NEXT(t) ) { |
| |
NEXTNODE(in0,in); |
| |
if ( nd_module ) { |
| |
if ( !BDY(t) || OID(BDY(t)) != O_LIST |
| |
|| length(BDY((LIST)BDY(t))) != mrank ) |
| |
error("nd_nf_p : inconsistent basis element"); |
| |
if ( !m ) pltozpl((LIST)BDY(t),&cont,&ppl); |
| |
else ppl = (LIST)BDY(t); |
| |
BDY(in) = (pointer)pltondv(CO,vv,ppl); |
| |
} else { |
| |
if ( !m ) ptozp((P)BDY(t),1,&cont,&pp); |
| |
else pp = (P)BDY(t); |
| |
BDY(in) = (pointer)ptondv(CO,vv,pp); |
| |
} |
| |
if ( m ) ndv_mod(m,(NDV)BDY(in)); |
| |
} |
| |
if ( in0 ) NEXT(in) = 0; |
| |
|
| |
if ( nd_module ) ndvf = pltondv(CO,vv,(LIST)f); |
| |
else ndvf = ptondv(CO,vv,(P)f); |
| |
if ( m ) ndv_mod(m,ndvf); |
| |
ndf = (pointer)ndvtond(m,ndvf); |
| |
|
| |
/* dont sort, dont removecont */ |
| |
ndv_setup(m,0,in0,1,1); |
| |
nd_scale=2; |
| |
stat = nd_nf(m,0,ndf,nd_ps,1,0,&nf); |
| |
if ( !stat ) |
| |
error("nd_nf_p : exponent too large"); |
| |
if ( nd_module ) *rp = (Obj)ndvtopl(m,CO,vv,ndtondv(m,nf),mrank); |
| |
else *rp = (Obj)ndvtop(m,CO,vv,ndtondv(m,nf)); |
| |
} |
| |
|
| |
int nd_to_vect(int mod,UINT *s0,int n,ND d,UINT *r) |
| |
{ |
| |
NM m; |
| |
UINT *t,*s; |
| |
int i; |
| |
|
| |
for ( i = 0; i < n; i++ ) r[i] = 0; |
| |
for ( i = 0, s = s0, m = BDY(d); m; m = NEXT(m) ) { |
| |
t = DL(m); |
| |
for ( ; !ndl_equal(t,s); s += nd_wpd, i++ ); |
| |
r[i] = CM(m); |
| |
} |
| |
for ( i = 0; !r[i]; i++ ); |
| |
return i; |
| |
} |
| |
|
| |
#if defined(__GNUC__) && SIZEOF_LONG==8 |
| |
|
| |
#define MOD128(a,c,m) ((a)=(((c)!=0||((a)>=(m)))?(((((U128)(c))<<64)+(a))%(m)):(a))) |
| |
|
| |
int nd_to_vect64(int mod,UINT *s0,int n,ND d,U64 *r) |
| |
{ |
| |
NM m; |
| |
UINT *t,*s; |
| |
int i; |
| |
|
| |
for ( i = 0; i < n; i++ ) r[i] = 0; |
| |
for ( i = 0, s = s0, m = BDY(d); m; m = NEXT(m) ) { |
| |
t = DL(m); |
| |
for ( ; !ndl_equal(t,s); s += nd_wpd, i++ ); |
| |
r[i] = (U64)CM(m); |
| |
} |
| |
for ( i = 0; !r[i]; i++ ); |
| |
return i; |
| |
} |
| |
#endif |
| |
|
| |
int nd_to_vect_q(UINT *s0,int n,ND d,Q *r) |
| |
{ |
| |
NM m; |
| |
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; |
| |
} |
| |
|
| |
int nd_to_vect_lf(UINT *s0,int n,ND d,mpz_t *r) |
| |
{ |
| |
NM m; |
| |
UINT *t,*s; |
| |
int i; |
| |
|
| |
for ( i = 0; i < n; i++ ) { mpz_init(r[i]); mpz_set_ui(r[i],0); } |
| |
for ( i = 0, s = s0, m = BDY(d); m; m = NEXT(m) ) { |
| |
t = DL(m); |
| |
for ( ; !ndl_equal(t,s); s += nd_wpd, i++ ); |
| |
mpz_set(r[i],BDY(CZ(m))); |
| |
} |
| |
for ( i = 0; !mpz_sgn(r[i]); i++ ); |
| |
return i; |
| |
} |
| |
|
| |
unsigned long *nd_to_vect_2(UINT *s0,int n,int *s0hash,ND p) |
| |
{ |
| |
NM m; |
| |
unsigned long *v; |
| |
int i,j,h,size; |
| |
UINT *s,*t; |
| |
|
| |
size = sizeof(unsigned long)*(n+BLEN-1)/BLEN; |
| |
v = (unsigned long *)MALLOC_ATOMIC_IGNORE_OFF_PAGE(size); |
| |
bzero(v,size); |
| |
for ( i = j = 0, s = s0, m = BDY(p); m; j++, m = NEXT(m) ) { |
| |
t = DL(m); |
| |
h = ndl_hash_value(t); |
| |
for ( ; h != s0hash[i] || !ndl_equal(t,s); s += nd_wpd, i++ ); |
| |
v[i/BLEN] |= 1L <<(i%BLEN); |
| |
} |
| |
return v; |
| |
} |
| |
|
| |
int nd_nm_to_vect_2(UINT *s0,int n,int *s0hash,NDV p,NM m,unsigned long *v) |
| |
{ |
| |
NMV mr; |
| |
UINT *d,*t,*s; |
| |
int i,j,len,h,head; |
| |
|
| |
d = DL(m); |
| |
len = LEN(p); |
| |
t = (UINT *)MALLOC(nd_wpd*sizeof(UINT)); |
| |
for ( i = j = 0, s = s0, mr = BDY(p); j < len; j++, NMV_ADV(mr) ) { |
| |
ndl_add(d,DL(mr),t); |
| |
h = ndl_hash_value(t); |
| |
for ( ; h != s0hash[i] || !ndl_equal(t,s); s += nd_wpd, i++ ); |
| |
if ( j == 0 ) head = i; |
| |
v[i/BLEN] |= 1L <<(i%BLEN); |
| |
} |
| |
return head; |
| |
} |
| |
|
| |
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 *)MALLOC(nd_wpd*sizeof(UINT)); |
| |
for ( i = j = 0, s = s0, mr = BDY(p); j < len; j++, NMV_ADV(mr) ) { |
| |
ndl_add(d,DL(mr),t); |
| |
for ( ; !ndl_equal(t,s); s += nd_wpd, i++ ); |
| |
r[i] = CQ(mr); |
| |
} |
| |
return r; |
| |
} |
| |
|
| |
IndArray nm_ind_pair_to_vect_compress(int trace,UINT *s0,int n,int *s0hash,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,h; |
| |
IndArray r; |
| |
struct oEGT eg0,eg1; |
| |
|
| |
m = pair->mul; |
| |
d = DL(m); |
| |
if ( trace ) |
| |
p = nd_demand?nd_ps_trace_sym[pair->index]:nd_ps_trace[pair->index]; |
| |
else |
| |
p = nd_demand?nd_ps_sym[pair->index]:nd_ps[pair->index]; |
| |
|
| |
len = LEN(p); |
| |
t = (UINT *)MALLOC(nd_wpd*sizeof(UINT)); |
| |
v = (unsigned int *)MALLOC(len*sizeof(unsigned int)); |
| |
get_eg(&eg0); |
| |
for ( i = j = 0, s = s0, mr = BDY(p); j < len; j++, NMV_ADV(mr) ) { |
| |
ndl_add(d,DL(mr),t); |
| |
h = ndl_hash_value(t); |
| |
for ( ; h != s0hash[i] || !ndl_equal(t,s); s += nd_wpd, i++ ); |
| |
v[j] = i; |
| |
} |
| |
get_eg(&eg1); add_eg(&eg_search,&eg0,&eg1); |
| |
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 *)MALLOC(col*sizeof(Q)); |
| |
for ( i = 0; i < nred; i++ ) { |
| |
ivect = imat[i]; |
| |
k = ivect->head; |
| |
if ( svect[k] ) { |
| |
maxrs = MAX(maxrs,rp0[i]->sugar); |
| |
redv = nd_demand?ndv_load(rp0[i]->index) |
| |
:(trace?nd_ps_trace[rp0[i]->index]:nd_ps[rp0[i]->index]); |
| |
len = LEN(redv); mr = BDY(redv); |
| |
igcd_cofactor(svect[k],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_gz(GZ *gvect,int trace,int col,IndArray *imat,NM_ind_pair *rp0,int nred) |
| |
{ |
| |
int i,j,k,l,len,pos,prev,nz; |
| |
GZ 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; |
| |
struct oVECT v; |
| |
|
| |
maxrs = 0; |
| |
for ( i = 0; i < col && !gvect[i]; i++ ); |
| |
if ( i == col ) return maxrs; |
| |
hmag = (double)n_bits_gz(gvect[i])*nd_scale; |
| |
for ( i = 0; i < nred; i++ ) { |
| |
ivect = imat[i]; |
| |
k = ivect->head; |
| |
if ( gvect[k] ) { |
| |
maxrs = MAX(maxrs,rp0[i]->sugar); |
| |
redv = nd_ps_gz[rp0[i]->index]; |
| |
len = LEN(redv); mr = BDY(redv); |
| |
gcdgz(gvect[k],CZ(mr),&gcd); |
| |
divsgz(gvect[k],gcd,&cs); |
| |
divsgz(CZ(mr),gcd,&cr); |
| |
chsgngz(cs,&mcs); |
| |
if ( !UNIGZ(cr) ) { |
| |
for ( j = 0; j < col; j++ ) { |
| |
mulgz(gvect[j],cr,&c1); gvect[j] = c1; |
| |
} |
| |
} |
| |
gvect[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; |
| |
mulgz(CZ(mr),mcs,&c2); addgz(gvect[pos],c2,&t); gvect[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; |
| |
mulgz(CZ(mr),mcs,&c2); addgz(gvect[pos],c2,&t); gvect[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; |
| |
mulgz(CZ(mr),mcs,&c2); addgz(gvect[pos],c2,&t); gvect[pos] = t; |
| |
} |
| |
break; |
| |
} |
| |
for ( j = k+1; j < col && !gvect[j]; j++ ); |
| |
if ( j == col ) break; |
| |
if ( hmag && ((double)n_bits_gz(gvect[j]) > hmag) ) { |
| |
v.len = col; v.body = (pointer)gvect; gcdvgz(&v,&gcd); |
| |
#if 1 |
| |
for ( l = 0; l < col; l++ ) { divsgz(gvect[l],gcd,&t); gvect[l] = t; } |
| |
#endif |
| |
hmag = (double)n_bits_gz(gvect[j])*nd_scale; |
| |
} |
| |
} |
| |
} |
| |
for ( j = 0; j < col && !gvect[j]; j++ ); |
| |
if ( j < col ) { |
| |
v.len = col; v.body = (pointer)gvect; gcdvgz(&v,&gcd); |
| |
for ( l = 0; l < col; l++ ) { divsgz(gvect[l],gcd,&t); gvect[l] = t; } |
| } |
} |
| s0 = 0; |
if ( DP_Print ) { |
| for ( t = d; t; t = NEXT(t) ) { |
fprintf(asir_out,"-"); fflush(asir_out); |
| NEXTND_pairs(s0,s); |
} |
| s->i1 = t->i1; |
return maxrs; |
| s->i2 = t->i2; |
} |
| s->td = t->td; |
|
| s->sugar = t->sugar; |
int ndv_reduce_vect(int m,UINT *svect,int col,IndArray *imat,NM_ind_pair *rp0,int nred) |
| ndl_dup(obpe,t->lcm,s->lcm); |
{ |
| } |
int i,j,k,len,pos,prev; |
| if ( s0 ) NEXT(s) = 0; |
UINT c,c1,c2,c3,up,lo,dmy; |
| prev_nm_free_list = 0; |
IndArray ivect; |
| prev_ndp_free_list = 0; |
unsigned char *ivc; |
| #if USE_NDV |
unsigned short *ivs; |
| BDY(ndv_red) = (NMV)REALLOC(BDY(ndv_red),nmv_len*nmv_adv); |
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); prev = pos; |
| |
if ( c1 ) { |
| |
c2 = svect[pos]; |
| |
DMA(c1,c,c2,up,lo); |
| |
if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3; |
| |
} else svect[pos] = lo; |
| |
} |
| |
} |
| |
break; |
| |
case 2: |
| |
ivs = ivect->index.s; |
| |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
| |
pos = prev+ivs[j]; c1 = CM(mr); |
| |
prev = pos; |
| |
if ( c1 ) { |
| |
c2 = svect[pos]; |
| |
DMA(c1,c,c2,up,lo); |
| |
if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3; |
| |
} else svect[pos] = lo; |
| |
} |
| |
} |
| |
break; |
| |
case 4: |
| |
ivi = ivect->index.i; |
| |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
| |
pos = prev+ivi[j]; c1 = CM(mr); |
| |
prev = pos; |
| |
if ( c1 ) { |
| |
c2 = svect[pos]; |
| |
DMA(c1,c,c2,up,lo); |
| |
if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3; |
| |
} else svect[pos] = lo; |
| |
} |
| |
} |
| |
break; |
| |
} |
| |
} |
| |
} |
| |
for ( i = 0; i < col; i++ ) |
| |
if ( svect[i] >= (UINT)m ) svect[i] %= m; |
| |
return maxrs; |
| |
} |
| |
|
| |
#if defined(__GNUC__) && SIZEOF_LONG==8 |
| |
|
| |
int ndv_reduce_vect64(int m,U64 *svect,U64 *cvect,int col,IndArray *imat,NM_ind_pair *rp0,int nred) |
| |
{ |
| |
int i,j,k,len,pos,prev; |
| |
U64 a,c,c1,c2; |
| |
IndArray ivect; |
| |
unsigned char *ivc; |
| |
unsigned short *ivs; |
| |
unsigned int *ivi; |
| |
NDV redv; |
| |
NMV mr; |
| |
NODE rp; |
| |
int maxrs; |
| |
|
| |
for ( i = 0; i < col; i++ ) cvect[i] = 0; |
| |
maxrs = 0; |
| |
for ( i = 0; i < nred; i++ ) { |
| |
ivect = imat[i]; |
| |
k = ivect->head; |
| |
a = svect[k]; c = cvect[k]; |
| |
MOD128(a,c,m); |
| |
svect[k] = a; cvect[k] = 0; |
| |
if ( c = svect[k] ) { |
| |
maxrs = MAX(maxrs,rp0[i]->sugar); |
| |
c = m-c; redv = nd_ps[rp0[i]->index]; |
| |
len = LEN(redv); mr = BDY(redv); |
| |
svect[k] = 0; prev = k; |
| |
switch ( ivect->width ) { |
| |
case 1: |
| |
ivc = ivect->index.c; |
| |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
| |
pos = prev+ivc[j]; c1 = CM(mr); prev = pos; |
| |
if ( c1 ) { |
| |
c2 = svect[pos]+c1*c; |
| |
if ( c2 < svect[pos] ) cvect[pos]++; |
| |
svect[pos] = c2; |
| |
} |
| |
} |
| |
break; |
| |
case 2: |
| |
ivs = ivect->index.s; |
| |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
| |
pos = prev+ivs[j]; c1 = CM(mr); prev = pos; |
| |
if ( c1 ) { |
| |
c2 = svect[pos]+c1*c; |
| |
if ( c2 < svect[pos] ) cvect[pos]++; |
| |
svect[pos] = c2; |
| |
} |
| |
} |
| |
break; |
| |
case 4: |
| |
ivi = ivect->index.i; |
| |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
| |
pos = prev+ivi[j]; c1 = CM(mr); prev = pos; |
| |
if ( c1 ) { |
| |
c2 = svect[pos]+c1*c; |
| |
if ( c2 < svect[pos] ) cvect[pos]++; |
| |
svect[pos] = c2; |
| |
} |
| |
} |
| |
break; |
| |
} |
| |
} |
| |
} |
| |
for ( i = 0; i < col; i++ ) { |
| |
a = svect[i]; c = cvect[i]; MOD128(a,c,m); svect[i] = a; |
| |
} |
| |
return maxrs; |
| |
} |
| #endif |
#endif |
| GC_gcollect(); |
|
| return s0; |
int ndv_reduce_vect_sf(int m,UINT *svect,int col,IndArray *imat,NM_ind_pair *rp0,int nred) |
| |
{ |
| |
int i,j,k,len,pos,prev; |
| |
UINT c,c1,c2,c3,up,lo,dmy; |
| |
IndArray ivect; |
| |
unsigned char *ivc; |
| |
unsigned short *ivs; |
| |
unsigned int *ivi; |
| |
NDV redv; |
| |
NMV mr; |
| |
NODE rp; |
| |
int maxrs; |
| |
|
| |
maxrs = 0; |
| |
for ( i = 0; i < nred; i++ ) { |
| |
ivect = imat[i]; |
| |
k = ivect->head; |
| |
if ( c = svect[k] ) { |
| |
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; |
| } |
} |
| |
|
| void ndl_dup(int obpe,unsigned int *d,unsigned int *r) |
ND nd_add_lf(ND p1,ND p2) |
| { |
{ |
| int n,i,ei,oepw,cepw,cbpe; |
int n,c,can; |
| |
ND r; |
| |
NM m1,m2,mr0,mr,s; |
| |
GZ t; |
| |
|
| n = nd_nvar; |
if ( !p1 ) return p2; |
| oepw = (sizeof(unsigned int)*8)/obpe; |
else if ( !p2 ) return p1; |
| cepw = nd_epw; |
else { |
| cbpe = nd_bpe; |
can = 0; |
| if ( is_rlex ) |
for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) { |
| for ( i = 0; i < n; i++ ) { |
c = DL_COMPARE(DL(m1),DL(m2)); |
| ei = (d[(n-1-i)/oepw]>>((oepw-((n-1-i)%oepw)-1)*obpe)) |
switch ( c ) { |
| &((1<<obpe)-1); |
case 0: |
| r[(n-1-i)/cepw] |= (ei<<((cepw-((n-1-i)%cepw)-1)*cbpe)); |
addlf(CZ(m1),CZ(m2),&t); |
| } |
s = m1; m1 = NEXT(m1); |
| |
if ( t ) { |
| |
can++; NEXTNM2(mr0,mr,s); CZ(mr) = (t); |
| |
} else { |
| |
can += 2; FREENM(s); |
| |
} |
| |
s = m2; m2 = NEXT(m2); FREENM(s); |
| |
break; |
| |
case 1: |
| |
s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s); |
| |
break; |
| |
case -1: |
| |
s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s); |
| |
break; |
| |
} |
| |
} |
| |
if ( !mr0 ) |
| |
if ( m1 ) mr0 = m1; |
| |
else if ( m2 ) mr0 = m2; |
| |
else return 0; |
| |
else if ( m1 ) NEXT(mr) = m1; |
| |
else if ( m2 ) NEXT(mr) = m2; |
| |
else NEXT(mr) = 0; |
| |
BDY(p1) = mr0; |
| |
SG(p1) = MAX(SG(p1),SG(p2)); |
| |
LEN(p1) = LEN(p1)+LEN(p2)-can; |
| |
FREEND(p2); |
| |
return p1; |
| |
} |
| |
} |
| |
|
| |
int ndv_reduce_vect_lf(mpz_t *svect,int trace,int col,IndArray *imat,NM_ind_pair *rp0,int nred) |
| |
{ |
| |
int i,j,k,len,pos,prev; |
| |
mpz_t c,mc,c1; |
| |
IndArray ivect; |
| |
unsigned char *ivc; |
| |
unsigned short *ivs; |
| |
unsigned int *ivi; |
| |
NDV redv; |
| |
NMV mr; |
| |
NODE rp; |
| |
int maxrs; |
| |
|
| |
maxrs = 0; |
| |
lf_lazy = 1; |
| |
for ( i = 0; i < nred; i++ ) { |
| |
ivect = imat[i]; |
| |
k = ivect->head; |
| |
mpz_mod(svect[k],svect[k],BDY(current_mod_lf)); |
| |
if ( mpz_sgn(svect[k]) ) { |
| |
maxrs = MAX(maxrs,rp0[i]->sugar); |
| |
mpz_neg(svect[k],svect[k]); |
| |
redv = trace?nd_ps_trace[rp0[i]->index]:nd_ps[rp0[i]->index]; |
| |
len = LEN(redv); mr = BDY(redv); |
| |
prev = k; |
| |
switch ( ivect->width ) { |
| |
case 1: |
| |
ivc = ivect->index.c; |
| |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
| |
pos = prev+ivc[j]; prev = pos; |
| |
mpz_addmul(svect[pos],svect[k],BDY(CZ(mr))); |
| |
} |
| |
break; |
| |
case 2: |
| |
ivs = ivect->index.s; |
| |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
| |
pos = prev+ivs[j]; prev = pos; |
| |
mpz_addmul(svect[pos],svect[k],BDY(CZ(mr))); |
| |
} |
| |
break; |
| |
case 4: |
| |
ivi = ivect->index.i; |
| |
for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { |
| |
pos = prev+ivi[j]; prev = pos; |
| |
mpz_addmul(svect[pos],svect[k],BDY(CZ(mr))); |
| |
} |
| |
break; |
| |
} |
| |
mpz_set_ui(svect[k],0); |
| |
} |
| |
} |
| |
lf_lazy=0; |
| |
for ( i = 0; i < col; i++ ) { |
| |
mpz_mod(svect[i],svect[i],BDY(current_mod_lf)); |
| |
} |
| |
return maxrs; |
| |
} |
| |
|
| |
int nd_gauss_elim_lf(mpz_t **mat0,int *sugar,int row,int col,int *colstat) |
| |
{ |
| |
int i,j,k,l,rank,s; |
| |
mpz_t a,a1,inv; |
| |
mpz_t *t,*pivot,*pk; |
| |
mpz_t **mat; |
| |
struct oEGT eg0,eg1,eg_forward,eg_mod,eg_back; |
| |
int size,size1; |
| |
|
| |
mpz_init(inv); |
| |
mpz_init(a); |
| |
mat = (mpz_t **)mat0; |
| |
size = 0; |
| |
for ( rank = 0, j = 0; j < col; j++ ) { |
| |
for ( i = rank; i < row; i++ ) { |
| |
mpz_mod(mat[i][j],mat[i][j],BDY(current_mod_lf)); |
| |
} |
| |
for ( i = rank; i < row; i++ ) |
| |
if ( mpz_sgn(mat[i][j]) ) |
| |
break; |
| |
if ( i == row ) { |
| |
colstat[j] = 0; |
| |
continue; |
| |
} else |
| |
colstat[j] = 1; |
| |
if ( i != rank ) { |
| |
t = mat[i]; mat[i] = mat[rank]; mat[rank] = t; |
| |
s = sugar[i]; sugar[i] = sugar[rank]; sugar[rank] = s; |
| |
} |
| |
pivot = mat[rank]; |
| |
s = sugar[rank]; |
| |
mpz_invert(inv,pivot[j],BDY(current_mod_lf)); |
| |
for ( k = j, pk = pivot+k; k < col; k++, pk++ ) |
| |
if ( mpz_sgn(*pk) ) { |
| |
mpz_mul(a,*pk,inv); mpz_mod(*pk,a,BDY(current_mod_lf)); |
| |
} |
| |
for ( i = rank+1; i < row; i++ ) { |
| |
t = mat[i]; |
| |
if ( mpz_sgn(t[j]) ) { |
| |
sugar[i] = MAX(sugar[i],s); |
| |
mpz_neg(a,t[j]); |
| |
red_by_vect_lf(t+j,pivot+j,a,col-j); |
| |
} |
| |
} |
| |
rank++; |
| |
} |
| |
for ( j = col-1, l = rank-1; j >= 0; j-- ) |
| |
if ( colstat[j] ) { |
| |
pivot = mat[l]; |
| |
s = sugar[l]; |
| |
for ( k = j; k < col; k++ ) |
| |
mpz_mod(pivot[k],pivot[k],BDY(current_mod_lf)); |
| |
for ( i = 0; i < l; i++ ) { |
| |
t = mat[i]; |
| |
if ( mpz_sgn(t[j]) ) { |
| |
sugar[i] = MAX(sugar[i],s); |
| |
mpz_neg(a,t[j]); |
| |
red_by_vect_lf(t+j,pivot+j,a,col-j); |
| |
} |
| |
} |
| |
l--; |
| |
} |
| |
for ( j = 0, l = 0; l < rank; j++ ) |
| |
if ( colstat[j] ) { |
| |
t = mat[l]; |
| |
for ( k = j; k < col; k++ ) { |
| |
mpz_mod(t[k],t[k],BDY(current_mod_lf)); |
| |
} |
| |
l++; |
| |
} |
| |
return rank; |
| |
} |
| |
|
| |
|
| |
NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhead,UINT *s0vect) |
| |
{ |
| |
int j,k,len; |
| |
UINT *p; |
| |
UINT c; |
| |
NDV r; |
| |
NMV mr0,mr; |
| |
|
| |
for ( j = 0, len = 0; j < spcol; j++ ) if ( vect[j] ) len++; |
| |
if ( !len ) return 0; |
| |
else { |
| |
mr0 = (NMV)MALLOC_ATOMIC_IGNORE_OFF_PAGE(nmv_adv*len); |
| |
#if 0 |
| |
ndv_alloc += nmv_adv*len; |
| |
#endif |
| |
mr = mr0; |
| |
p = s0vect; |
| |
for ( j = k = 0; j < col; j++, p += nd_wpd ) |
| |
if ( !rhead[j] ) { |
| |
if ( c = vect[k++] ) { |
| |
ndl_copy(p,DL(mr)); CM(mr) = c; NMV_ADV(mr); |
| |
} |
| |
} |
| |
MKNDV(nd_nvar,mr0,len,r); |
| |
return r; |
| |
} |
| |
} |
| |
|
| |
#if defined(__GNUC__) && SIZEOF_LONG==8 |
| |
NDV vect64_to_ndv(U64 *vect,int spcol,int col,int *rhead,UINT *s0vect) |
| |
{ |
| |
int j,k,len; |
| |
UINT *p; |
| |
UINT c; |
| |
NDV r; |
| |
NMV mr0,mr; |
| |
|
| |
for ( j = 0, len = 0; j < spcol; j++ ) if ( vect[j] ) len++; |
| |
if ( !len ) return 0; |
| |
else { |
| |
mr0 = (NMV)MALLOC_ATOMIC_IGNORE_OFF_PAGE(nmv_adv*len); |
| |
#if 0 |
| |
ndv_alloc += nmv_adv*len; |
| |
#endif |
| |
mr = mr0; |
| |
p = s0vect; |
| |
for ( j = k = 0; j < col; j++, p += nd_wpd ) |
| |
if ( !rhead[j] ) { |
| |
if ( c = (UINT)vect[k++] ) { |
| |
ndl_copy(p,DL(mr)); CM(mr) = c; NMV_ADV(mr); |
| |
} |
| |
} |
| |
MKNDV(nd_nvar,mr0,len,r); |
| |
return r; |
| |
} |
| |
} |
| |
#endif |
| |
|
| |
NDV vect_to_ndv_2(unsigned long *vect,int col,UINT *s0vect) |
| |
{ |
| |
int j,k,len; |
| |
UINT *p; |
| |
NDV r; |
| |
NMV mr0,mr; |
| |
|
| |
for ( j = 0, len = 0; j < col; j++ ) if ( vect[j/BLEN] & (1L<<(j%BLEN)) ) len++; |
| |
if ( !len ) return 0; |
| |
else { |
| |
mr0 = (NMV)MALLOC_ATOMIC_IGNORE_OFF_PAGE(nmv_adv*len); |
| |
mr = mr0; |
| |
p = s0vect; |
| |
for ( j = 0; j < col; j++, p += nd_wpd ) |
| |
if ( vect[j/BLEN] & (1L<<(j%BLEN)) ) { |
| |
ndl_copy(p,DL(mr)); CM(mr) = 1; NMV_ADV(mr); |
| |
} |
| |
MKNDV(nd_nvar,mr0,len,r); |
| |
return r; |
| |
} |
| |
} |
| |
|
| |
/* for preprocessed vector */ |
| |
|
| |
NDV vect_to_ndv_q(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)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; |
| |
} |
| |
} |
| |
|
| |
NDV vect_to_ndv_gz(GZ *vect,int spcol,int col,int *rhead,UINT *s0vect) |
| |
{ |
| |
int j,k,len; |
| |
UINT *p; |
| |
GZ c; |
| |
NDV r; |
| |
NMV mr0,mr; |
| |
|
| |
for ( j = 0, len = 0; j < spcol; j++ ) if ( vect[j] ) len++; |
| |
if ( !len ) return 0; |
| |
else { |
| |
mr0 = (NMV)MALLOC(nmv_adv*len); |
| |
#if 0 |
| |
ndv_alloc += nmv_adv*len; |
| |
#endif |
| |
mr = mr0; |
| |
p = s0vect; |
| |
for ( j = k = 0; j < col; j++, p += nd_wpd ) |
| |
if ( !rhead[j] ) { |
| |
if ( c = vect[k++] ) { |
| |
ndl_copy(p,DL(mr)); CZ(mr) = c; NMV_ADV(mr); |
| |
} |
| |
} |
| |
MKNDV(nd_nvar,mr0,len,r); |
| |
return r; |
| |
} |
| |
} |
| |
|
| |
NDV vect_to_ndv_lf(mpz_t *vect,int spcol,int col,int *rhead,UINT *s0vect) |
| |
{ |
| |
int j,k,len; |
| |
UINT *p; |
| |
mpz_t c; |
| |
NDV r; |
| |
NMV mr0,mr; |
| |
|
| |
for ( j = 0, len = 0; j < spcol; j++ ) if ( mpz_sgn(vect[j]) ) len++; |
| |
if ( !len ) return 0; |
| |
else { |
| |
mr0 = (NMV)MALLOC(nmv_adv*len); |
| |
#if 0 |
| |
ndv_alloc += nmv_adv*len; |
| |
#endif |
| |
mr = mr0; |
| |
p = s0vect; |
| |
for ( j = k = 0; j < col; j++, p += nd_wpd ) |
| |
if ( !rhead[j] ) { |
| |
c[0] = vect[k++][0]; |
| |
if ( mpz_sgn(c) ) { |
| |
ndl_copy(p,DL(mr)); MPZTOGZ(c,CZ(mr)); 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)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; |
| |
static int afo; |
| |
|
| |
s0 = 0; rp0 = 0; col = 0; |
| |
if ( nd_demand ) |
| |
ps = trace?nd_ps_trace_sym:nd_ps_sym; |
| else |
else |
| for ( i = 0; i < n; i++ ) { |
ps = trace?nd_ps_trace:nd_ps; |
| ei = (d[i/oepw]>>((oepw-(i%oepw)-1)*obpe)) |
while ( 1 ) { |
| &((1<<obpe)-1); |
head = remove_head_pbucket_symbolic(bucket); |
| r[i/cepw] |= (ei<<((cepw-(i%cepw)-1)*cbpe)); |
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; |
| } |
} |
| |
|
| ND nd_dup(ND p,int obpe) |
NODE nd_f4(int m,int checkonly,int **indp) |
| { |
{ |
| NM m,mr,mr0; |
int i,nh,stat,index,f4red; |
| int c,n; |
NODE r,g,tn0,tn,node; |
| ND r; |
ND_pairs d,l,t,ll0,ll; |
| |
LIST l0,l1; |
| |
ND spol,red; |
| |
NDV nf,redv; |
| |
NM s0,s; |
| |
NODE rp0,srp0,nflist,nzlist,nzlist_t; |
| |
int nsp,nred,col,rank,len,k,j,a,i1s,i2s; |
| |
UINT c; |
| |
UINT **spmat; |
| |
UINT *s0vect,*svect,*p,*v; |
| |
int *colstat; |
| |
IndArray *imat; |
| |
int *rhead; |
| |
int spcol,sprow; |
| |
int sugar; |
| |
PGeoBucket bucket; |
| |
struct oEGT eg0,eg1,eg_f4; |
| |
Q i1,i2,sugarq; |
| |
#if 0 |
| |
ndv_alloc = 0; |
| |
#endif |
| |
g = 0; d = 0; |
| |
for ( i = 0; i < nd_psn; i++ ) { |
| |
if ( !nd_nzlist ) d = update_pairs(d,g,i,0); |
| |
g = update_base(g,i); |
| |
} |
| |
nzlist = 0; |
| |
nzlist_t = nd_nzlist; |
| |
f4red = 1; |
| |
nd_last_nonzero = 0; |
| |
while ( d || nzlist_t ) { |
| |
get_eg(&eg0); |
| |
if ( nd_nzlist ) { |
| |
node = BDY((LIST)BDY(nzlist_t)); |
| |
sugar = QTOS((Q)ARG0(node)); |
| |
tn = BDY((LIST)ARG1(node)); |
| |
if ( !tn ) { |
| |
nzlist_t = NEXT(nzlist_t); |
| |
continue; |
| |
} |
| |
/* tn = [[i1,i2],...] */ |
| |
l = nd_ipairtospair(tn); |
| |
} else { |
| |
l = nd_minsugarp(d,&d); |
| |
sugar = nd_sugarweight?l->sugar2:SG(l); |
| |
if ( MaxDeg > 0 && sugar > MaxDeg ) break; |
| |
} |
| |
bucket = create_pbucket(); |
| |
stat = nd_sp_f4(m,0,l,bucket); |
| |
if ( !stat ) { |
| |
if ( !nd_nzlist ) { |
| |
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=%.3fsec,", |
| |
sugar,eg_f4.exectime+eg_f4.gctime); |
| |
nflist = nd_f4_red(m,l,0,s0vect,col,rp0,nd_gentrace?&ll:0); |
| |
if ( checkonly && nflist ) return 0; |
| |
/* adding new bases */ |
| |
if ( nflist ) nd_last_nonzero = f4red; |
| |
for ( r = nflist; r; r = NEXT(r) ) { |
| |
nf = (NDV)BDY(r); |
| |
ndv_removecont(m,nf); |
| |
if ( !m && nd_nalg ) { |
| |
ND nf1; |
| |
|
| if ( !p ) |
nf1 = ndvtond(m,nf); |
| return 0; |
nd_monic(0,&nf1); |
| else { |
nd_removecont(m,nf1); |
| n = NV(p); m = BDY(p); |
nf = ndtondv(m,nf1); |
| for ( mr0 = 0; m; m = NEXT(m) ) { |
} |
| NEXTNM(mr0,mr); |
nh = ndv_newps(m,nf,0,1); |
| C(mr) = C(m); |
if ( !nd_nzlist ) d = update_pairs(d,g,nh,0); |
| mr->td = m->td; |
g = update_base(g,nh); |
| ndl_dup(obpe,m->dl,mr->dl); |
} |
| } |
if ( DP_Print ) { |
| NEXT(mr) = 0; |
fprintf(asir_out,"f4red=%d,gblen=%d\n",f4red,length(g)); fflush(asir_out); |
| MKND(NV(p),mr0,r); |
} |
| r->sugar = p->sugar; |
if ( nd_gentrace ) { |
| return r; |
for ( t = ll, tn0 = 0; t; t = NEXT(t) ) { |
| |
NEXTNODE(tn0,tn); |
| |
STOQ(t->i1,i1); STOQ(t->i2,i2); |
| |
node = mknode(2,i1,i2); MKLIST(l0,node); |
| |
BDY(tn) = l0; |
| |
} |
| |
if ( tn0 ) NEXT(tn) = 0; MKLIST(l0,tn0); |
| |
STOQ(sugar,sugarq); node = mknode(2,sugarq,l0); MKLIST(l1,node); |
| |
MKNODE(node,l1,nzlist); nzlist = node; |
| |
} |
| |
if ( nd_nzlist ) nzlist_t = NEXT(nzlist_t); |
| |
f4red++; |
| |
if ( nd_f4red && f4red > nd_f4red ) break; |
| |
if ( nd_rank0 && !nflist ) break; |
| |
} |
| |
if ( nd_gentrace ) { |
| |
MKLIST(l0,reverse_node(nzlist)); |
| |
MKNODE(nd_alltracelist,l0,0); |
| |
} |
| |
#if 0 |
| |
fprintf(asir_out,"ndv_alloc=%d\n",ndv_alloc); |
| |
#endif |
| |
conv_ilist(nd_demand,0,g,indp); |
| |
return g; |
| |
} |
| |
|
| |
NODE nd_f4_trace(int m,int **indp) |
| |
{ |
| |
int i,nh,stat,index; |
| |
NODE r,g; |
| |
ND_pairs d,l,l0,t; |
| |
ND spol,red; |
| |
NDV nf,redv,nfqv,nfv; |
| |
NM s0,s; |
| |
NODE rp0,srp0,nflist; |
| |
int nsp,nred,col,rank,len,k,j,a; |
| |
UINT c; |
| |
UINT **spmat; |
| |
UINT *s0vect,*svect,*p,*v; |
| |
int *colstat; |
| |
IndArray *imat; |
| |
int *rhead; |
| |
int spcol,sprow; |
| |
int sugar; |
| |
PGeoBucket bucket; |
| |
struct oEGT eg0,eg1,eg_f4; |
| |
|
| |
g = 0; d = 0; |
| |
for ( i = 0; i < nd_psn; i++ ) { |
| |
d = update_pairs(d,g,i,0); |
| |
g = update_base(g,i); |
| |
} |
| |
while ( d ) { |
| |
get_eg(&eg0); |
| |
l = nd_minsugarp(d,&d); |
| |
sugar = SG(l); |
| |
if ( MaxDeg > 0 && sugar > MaxDeg ) break; |
| |
bucket = create_pbucket(); |
| |
stat = nd_sp_f4(m,0,l,bucket); |
| |
if ( !stat ) { |
| |
for ( t = l; NEXT(t); t = NEXT(t) ); |
| |
NEXT(t) = d; d = l; |
| |
d = nd_reconstruct(1,d); |
| |
continue; |
| |
} |
| |
if ( bucket->m < 0 ) continue; |
| |
col = nd_symbolic_preproc(bucket,0,&s0vect,&rp0); |
| |
if ( !col ) { |
| |
for ( t = l; NEXT(t); t = NEXT(t) ); |
| |
NEXT(t) = d; d = l; |
| |
d = nd_reconstruct(1,d); |
| |
continue; |
| |
} |
| |
get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1); |
| |
if ( DP_Print ) |
| |
fprintf(asir_out,"sugar=%d,symb=%.3fsec,", |
| |
sugar,eg_f4.exectime+eg_f4.gctime); |
| |
nflist = nd_f4_red(m,l,0,s0vect,col,rp0,&l0); |
| |
if ( !l0 ) continue; |
| |
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,1); |
| |
d = update_pairs(d,g,nh,0); |
| |
g = update_base(g,nh); |
| |
} |
| |
} |
| |
#if 0 |
| |
fprintf(asir_out,"ndv_alloc=%d\n",ndv_alloc); |
| |
#endif |
| |
conv_ilist(nd_demand,1,g,indp); |
| |
return g; |
| |
} |
| |
|
| |
int rref(matrix mat,int *sugar) |
| |
{ |
| |
int row,col,i,j,k,l,s,wcol,wj; |
| |
unsigned long bj; |
| |
unsigned long **a; |
| |
unsigned long *ai,*ak,*as,*t; |
| |
int *pivot; |
| |
|
| |
row = mat->row; |
| |
col = mat->col; |
| |
a = mat->a; |
| |
wcol = (col+BLEN-1)/BLEN; |
| |
pivot = (int *)MALLOC_ATOMIC(row*sizeof(int)); |
| |
i = 0; |
| |
for ( j = 0; j < col; j++ ) { |
| |
wj = j/BLEN; bj = 1L<<(j%BLEN); |
| |
for ( k = i; k < row; k++ ) |
| |
if ( a[k][wj] & bj ) break; |
| |
if ( k == row ) continue; |
| |
pivot[i] = j; |
| |
if ( k != i ) { |
| |
t = a[i]; a[i] = a[k]; a[k] = t; |
| |
s = sugar[i]; sugar[i] = sugar[k]; sugar[k] = s; |
| } |
} |
| |
ai = a[i]; |
| |
for ( k = i+1; k < row; k++ ) { |
| |
ak = a[k]; |
| |
if ( ak[wj] & bj ) { |
| |
for ( l = wj; l < wcol; l++ ) |
| |
ak[l] ^= ai[l]; |
| |
sugar[k] = MAX(sugar[k],sugar[i]); |
| |
} |
| |
} |
| |
i++; |
| |
} |
| |
for ( k = i-1; k >= 0; k-- ) { |
| |
j = pivot[k]; wj = j/BLEN; bj = 1L<<(j%BLEN); |
| |
ak = a[k]; |
| |
for ( s = 0; s < k; s++ ) { |
| |
as = a[s]; |
| |
if ( as[wj] & bj ) { |
| |
for ( l = wj; l < wcol; l++ ) |
| |
as[l] ^= ak[l]; |
| |
sugar[s] = MAX(sugar[s],sugar[k]); |
| |
} |
| |
} |
| |
} |
| |
return i; |
| } |
} |
| |
|
| #if USE_NDV |
void print_matrix(matrix mat) |
| void ndv_mul_nm(NDV p,NM m0,NDV r) |
|
| { |
{ |
| NMV m,mr,mr0; |
int row,col,i,j; |
| unsigned int *d,*dt,*dm; |
unsigned long *ai; |
| int c,n,td,i,c1,c2,len; |
|
| |
|
| if ( !p ) |
row = mat->row; |
| /* XXX */ |
col = mat->col; |
| r->len = 0; |
printf("%d x %d\n",row,col); |
| else { |
for ( i = 0; i < row; i++ ) { |
| n = NV(p); m = BDY(p); len = p->len; |
ai = mat->a[i]; |
| d = m0->dl; td = m0->td; c = C(m0); |
for ( j = 0; j < col; j++ ) { |
| mr = BDY(r); |
if ( ai[j/BLEN] & (1L<<(j%BLEN)) ) putchar('1'); |
| for ( i = 0; i < len; i++, NMV_ADV(m), NMV_ADV(mr) ) { |
else putchar('0'); |
| c1 = C(m); |
|
| DMAR(c1,c,0,nd_mod,c2); |
|
| C(mr) = c2; |
|
| mr->td = m->td+td; |
|
| ndl_add(m->dl,d,mr->dl); |
|
| } |
|
| NV(r) = NV(p); |
|
| r->len = p->len; |
|
| r->sugar = p->sugar + td; |
|
| } |
} |
| |
putchar('\n'); |
| |
} |
| } |
} |
| |
|
| int ndv_find_reducer(ND g, NDV red) |
NDV vect_to_ndv_2(unsigned long *vect,int col,UINT *s0vect); |
| |
|
| |
void red_by_vect_2(matrix mat,int *sugar,unsigned long *v,int rhead,int rsugar) |
| { |
{ |
| NM m; |
int row,col,wcol,wj,i,j; |
| ND r,p; |
unsigned long bj; |
| int i,c1,c2,c; |
unsigned long *ai; |
| int d,k,append,index; |
unsigned long **a; |
| NM t; |
int len; |
| NDV pv; |
int *pos; |
| |
|
| d = ndl_hash_value(HTD(g),HDL(g)); |
row = mat->row; |
| for ( m = nd_red[d], k = 0; m; m = NEXT(m), k++ ) { |
col = mat->col; |
| if ( HTD(g) == m->td && ndl_equal(HDL(g),m->dl) ) { |
wcol = (col+BLEN-1)/BLEN; |
| if ( k > 0 ) nd_notfirst++; |
pos = (int *)MALLOC(wcol*sizeof(int)); |
| index = m->c; |
bzero(pos,wcol*sizeof(int)); |
| append = 0; |
for ( i = j = 0; i < wcol; i++ ) |
| nd_found++; |
if ( v[i] ) pos[j++] = i;; |
| goto found; |
len = j; |
| } |
wj = rhead/BLEN; |
| |
bj = 1L<<rhead%BLEN; |
| |
a = mat->a; |
| |
for ( i = 0; i < row; i++ ) { |
| |
ai = a[i]; |
| |
if ( ai[wj]&bj ) { |
| |
for ( j = 0; j < len; j++ ) |
| |
ai[pos[j]] ^= v[pos[j]]; |
| |
sugar[i] = MAX(sugar[i],rsugar); |
| } |
} |
| |
} |
| |
} |
| |
|
| for ( i = 0; i < nd_psn; i++ ) { |
NODE nd_f4_red_2(ND_pairs sp0,UINT *s0vect,int col,NODE rp0,ND_pairs *nz) |
| p = nd_ps[i]; |
{ |
| if ( HTD(g) >= HTD(p) && ndl_reducible(HDL(g),HDL(p)) ) { |
int nsp,nred,i,i0,k,rank,row; |
| index = i; |
NODE r0,rp; |
| append = 1; |
ND_pairs sp; |
| nd_create++; |
ND spol; |
| goto found; |
NM_ind_pair rt; |
| |
int *s0hash; |
| |
UINT *s; |
| |
int *pivot,*sugar,*head; |
| |
matrix mat; |
| |
NM m; |
| |
NODE r; |
| |
struct oEGT eg0,eg1,eg2,eg_elim1,eg_elim2; |
| |
int rhead,rsugar,size; |
| |
unsigned long *v; |
| |
|
| |
get_eg(&eg0); |
| |
init_eg(&eg_search); |
| |
for ( sp = sp0, nsp = 0; sp; sp = NEXT(sp), nsp++ ); |
| |
nred = length(rp0); |
| |
mat = alloc_matrix(nsp,col); |
| |
s0hash = (int *)MALLOC(col*sizeof(int)); |
| |
for ( i = 0, s = s0vect; i < col; i++, s += nd_wpd ) |
| |
s0hash[i] = ndl_hash_value(s); |
| |
|
| |
sugar = (int *)MALLOC(nsp*sizeof(int)); |
| |
for ( i = 0, sp = sp0; sp; sp = NEXT(sp) ) { |
| |
nd_sp(2,0,sp,&spol); |
| |
if ( spol ) { |
| |
mat->a[i] = nd_to_vect_2(s0vect,col,s0hash,spol); |
| |
sugar[i] = SG(spol); |
| |
i++; |
| } |
} |
| } |
} |
| return 0; |
mat->row = i; |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"%dx%d,",mat->row,mat->col); fflush(asir_out); |
| |
} |
| |
size = ((col+BLEN-1)/BLEN)*sizeof(unsigned long); |
| |
v = CALLOC((col+BLEN-1)/BLEN,sizeof(unsigned long)); |
| |
for ( rp = rp0, i = 0; rp; rp = NEXT(rp), i++ ) { |
| |
rt = (NM_ind_pair)BDY(rp); |
| |
bzero(v,size); |
| |
rhead = nd_nm_to_vect_2(s0vect,col,s0hash,nd_ps[rt->index],rt->mul,v); |
| |
rsugar = SG(nd_ps[rt->index])+TD(DL(rt->mul)); |
| |
red_by_vect_2(mat,sugar,v,rhead,rsugar); |
| |
} |
| |
|
| found: |
get_eg(&eg1); |
| NEWNM(m); |
init_eg(&eg_elim1); add_eg(&eg_elim1,&eg0,&eg1); |
| p = nd_ps[index]; |
rank = rref(mat,sugar); |
| pv = nd_psv[index]; |
|
| ndl_sub(HDL(g),HDL(p),m->dl); |
|
| |
|
| if ( ndl_check_bound2(index,m->dl) ) { |
for ( i = 0, r0 = 0; i < rank; i++ ) { |
| FREENM(m); |
NEXTNODE(r0,r); |
| return -1; |
BDY(r) = (pointer)vect_to_ndv_2(mat->a[i],col,s0vect); |
| |
SG((NDV)BDY(r)) = sugar[i]; |
| |
} |
| |
if ( r0 ) NEXT(r) = 0; |
| |
get_eg(&eg2); |
| |
init_eg(&eg_elim2); add_eg(&eg_elim2,&eg1,&eg2); |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"elim1=%.3fsec,elim2=%.3fsec,", |
| |
eg_elim1.exectime+eg_elim1.gctime,eg_elim2.exectime+eg_elim2.gctime); |
| |
fflush(asir_out); |
| } |
} |
| |
return r0; |
| |
} |
| |
|
| c1 = invm(HC(p),nd_mod); |
|
| c2 = nd_mod-HC(g); |
|
| DMAR(c1,c2,0,nd_mod,c); |
|
| C(m) = c; |
|
| m->td = HTD(g)-HTD(p); |
|
| NEXT(m) = 0; |
|
| ndv_mul_nm(pv,m,red); |
|
| FREENM(m); |
|
| |
|
| if ( append ) nd_append_red(HDL(g),HTD(g),i); |
NODE nd_f4_red(int m,ND_pairs sp0,int trace,UINT *s0vect,int col,NODE rp0,ND_pairs *nz) |
| return 1; |
{ |
| |
IndArray *imat; |
| |
int nsp,nred,i; |
| |
int *rhead; |
| |
NODE r0,rp; |
| |
ND_pairs sp; |
| |
NM_ind_pair *rvect; |
| |
UINT *s; |
| |
int *s0hash; |
| |
|
| |
if ( m == 2 && nd_rref2 ) |
| |
return nd_f4_red_2(sp0,s0vect,col,rp0,nz); |
| |
|
| |
init_eg(&eg_search); |
| |
for ( sp = sp0, nsp = 0; sp; sp = NEXT(sp), nsp++ ); |
| |
nred = length(rp0); |
| |
imat = (IndArray *)MALLOC(nred*sizeof(IndArray)); |
| |
rhead = (int *)MALLOC(col*sizeof(int)); |
| |
for ( i = 0; i < col; i++ ) rhead[i] = 0; |
| |
|
| |
/* construction of index arrays */ |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"%dx%d,",nsp+nred,col); |
| |
} |
| |
rvect = (NM_ind_pair *)MALLOC(nred*sizeof(NM_ind_pair)); |
| |
s0hash = (int *)MALLOC(col*sizeof(int)); |
| |
for ( i = 0, s = s0vect; i < col; i++, s += nd_wpd ) |
| |
s0hash[i] = ndl_hash_value(s); |
| |
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(trace,s0vect,col,s0hash,rvect[i]); |
| |
rhead[imat[i]->head] = 1; |
| |
} |
| |
if ( m > 0 ) |
| |
#if defined(__GNUC__) && SIZEOF_LONG==8 |
| |
r0 = nd_f4_red_mod64_main(m,sp0,nsp,s0vect,col,rvect,rhead,imat,nred,nz); |
| |
#else |
| |
r0 = nd_f4_red_main(m,sp0,nsp,s0vect,col,rvect,rhead,imat,nred,nz); |
| |
#endif |
| |
else if ( m == -1 ) |
| |
r0 = nd_f4_red_sf_main(m,sp0,nsp,s0vect,col,rvect,rhead,imat,nred,nz); |
| |
else if ( m == -2 ) |
| |
r0 = nd_f4_red_lf_main(m,sp0,nsp,trace,s0vect,col,rvect,rhead,imat,nred); |
| |
else |
| |
#if defined(VISUAL) |
| |
r0 = nd_f4_red_q_main(sp0,nsp,trace,s0vect,col,rvect,rhead,imat,nred); |
| |
#else |
| |
r0 = nd_f4_red_gz_main(sp0,nsp,trace,s0vect,col,rvect,rhead,imat,nred); |
| |
#endif |
| |
#if 0 |
| |
if ( DP_Print ) print_eg("search",&eg_search); |
| |
#endif |
| |
return r0; |
| } |
} |
| |
|
| ND ndv_add(ND p1,NDV p2) |
/* for Fp, 2<=p<2^16 */ |
| |
|
| |
NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col, |
| |
NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz) |
| { |
{ |
| int c,c1,c2,t,td,td2,mul,len,i; |
int spcol,sprow,a; |
| NM prev,head,cur,new; |
int i,j,k,l,rank; |
| unsigned int *d; |
NODE r0,r; |
| NMV m2; |
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; |
| |
|
| if ( !p1 ) |
spcol = col-nred; |
| return 0; |
get_eg(&eg0); |
| else { |
/* elimination (1st step) */ |
| prev = 0; head = cur = BDY(p1); |
spmat = (int **)MALLOC(nsp*sizeof(UINT *)); |
| NEWNM(new); |
svect = (UINT *)MALLOC(col*sizeof(UINT)); |
| len = p2->len; |
spsugar = (int *)MALLOC(nsp*sizeof(int)); |
| for ( m2 = BDY(p2), i = 0; i < len; ) { |
spactive = !nz?0:(ND_pairs *)MALLOC(nsp*sizeof(ND_pairs)); |
| td2 = new->td = m2->td; |
for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) { |
| if ( !cur ) { |
nd_sp(m,0,sp,&spol); |
| C(new) = C(m2); |
if ( !spol ) continue; |
| bcopy(m2->dl,new->dl,nd_wpd*sizeof(unsigned int)); |
nd_to_vect(m,s0vect,col,spol,svect); |
| if ( !prev ) { |
if ( m == -1 ) |
| prev = new; |
maxrs = ndv_reduce_vect_sf(m,svect,col,imat,rvect,nred); |
| NEXT(prev) = 0; |
else |
| head = prev; |
maxrs = ndv_reduce_vect(m,svect,col,imat,rvect,nred); |
| } else { |
for ( i = 0; i < col; i++ ) if ( svect[i] ) break; |
| NEXT(prev) = new; |
if ( i < col ) { |
| NEXT(new) = 0; |
spmat[sprow] = v = (UINT *)MALLOC_ATOMIC(spcol*sizeof(UINT)); |
| prev = new; |
for ( j = k = 0; j < col; j++ ) |
| } |
if ( !rhead[j] ) v[k++] = svect[j]; |
| NMV_ADV(m2); i++; |
spsugar[sprow] = MAX(maxrs,SG(spol)); |
| NEWNM(new); |
if ( nz ) |
| continue; |
spactive[sprow] = sp; |
| } |
sprow++; |
| if ( cur->td > td2 ) |
} |
| c = 1; |
nd_free(spol); |
| else if ( cur->td < td2 ) |
} |
| c = -1; |
get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1); |
| else |
if ( DP_Print ) { |
| c = ndl_compare(cur->dl,m2->dl); |
fprintf(asir_out,"elim1=%.3fsec,",eg_f4_1.exectime+eg_f4_1.gctime); |
| switch ( c ) { |
fflush(asir_out); |
| case 0: |
} |
| t = C(m2)+C(cur)-nd_mod; |
/* free index arrays */ |
| if ( t < 0 ) |
for ( i = 0; i < nred; i++ ) GCFREE(imat[i]->index.c); |
| t += nd_mod; |
|
| if ( t ) |
/* elimination (2nd step) */ |
| C(cur) = t; |
colstat = (int *)MALLOC(spcol*sizeof(int)); |
| else if ( !prev ) { |
if ( m == -1 ) |
| head = NEXT(cur); |
rank = nd_gauss_elim_sf(spmat,spsugar,sprow,spcol,m,colstat); |
| FREENM(cur); |
else |
| cur = head; |
rank = nd_gauss_elim_mod(spmat,spsugar,spactive,sprow,spcol,m,colstat); |
| } else { |
r0 = 0; |
| NEXT(prev) = NEXT(cur); |
for ( i = 0; i < rank; i++ ) { |
| FREENM(cur); |
NEXTNODE(r0,r); BDY(r) = |
| cur = NEXT(prev); |
(pointer)vect_to_ndv(spmat[i],spcol,col,rhead,s0vect); |
| } |
SG((NDV)BDY(r)) = spsugar[i]; |
| NMV_ADV(m2); i++; |
GCFREE(spmat[i]); |
| break; |
} |
| case 1: |
if ( r0 ) NEXT(r) = 0; |
| prev = cur; |
|
| cur = NEXT(cur); |
for ( ; i < sprow; i++ ) GCFREE(spmat[i]); |
| break; |
get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2); |
| case -1: |
init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2); |
| if ( !prev ) { |
if ( DP_Print ) { |
| /* cur = head */ |
fprintf(asir_out,"elim2=%.3fsec,",eg_f4_2.exectime+eg_f4_2.gctime); |
| prev = new; |
fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ", |
| bcopy(m2->dl,new->dl,nd_wpd*sizeof(unsigned int)); |
nsp,nred,sprow,spcol,rank); |
| C(prev) = C(m2); |
fprintf(asir_out,"%.3fsec,",eg_f4.exectime+eg_f4.gctime); |
| NEXT(prev) = head; |
} |
| head = prev; |
if ( nz ) { |
| } else { |
for ( i = 0; i < rank-1; i++ ) NEXT(spactive[i]) = spactive[i+1]; |
| C(new) = C(m2); |
if ( rank > 0 ) { |
| bcopy(m2->dl,new->dl,nd_wpd*sizeof(unsigned int)); |
NEXT(spactive[rank-1]) = 0; |
| NEXT(prev) = new; |
*nz = spactive[0]; |
| NEXT(new) = cur; |
} else |
| prev = new; |
*nz = 0; |
| } |
} |
| NEWNM(new); |
return r0; |
| NMV_ADV(m2); i++; |
} |
| break; |
|
| } |
#if defined(__GNUC__) && SIZEOF_LONG==8 |
| } |
/* for Fp, 2^15=<p<2^29 */ |
| FREENM(new); |
|
| if ( head ) { |
NODE nd_f4_red_mod64_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col, |
| BDY(p1) = head; |
NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz) |
| p1->sugar = MAX(p1->sugar,p2->sugar+td); |
{ |
| return p1; |
int spcol,sprow,a; |
| } else { |
int i,j,k,l,rank; |
| FREEND(p1); |
NODE r0,r; |
| return 0; |
ND_pairs sp; |
| } |
ND spol; |
| |
U64 **spmat; |
| |
U64 *svect,*cvect; |
| |
U64 *v; |
| |
int *colstat; |
| |
struct oEGT eg0,eg1,eg2,eg_f4,eg_f4_1,eg_f4_2; |
| |
int maxrs; |
| |
int *spsugar; |
| |
ND_pairs *spactive; |
| |
|
| |
spcol = col-nred; |
| |
get_eg(&eg0); |
| |
/* elimination (1st step) */ |
| |
spmat = (U64 **)MALLOC(nsp*sizeof(U64 *)); |
| |
svect = (U64 *)MALLOC(col*sizeof(U64)); |
| |
cvect = (U64 *)MALLOC(col*sizeof(U64)); |
| |
spsugar = (int *)MALLOC(nsp*sizeof(int)); |
| |
spactive = !nz?0:(ND_pairs *)MALLOC(nsp*sizeof(ND_pairs)); |
| |
for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) { |
| |
nd_sp(m,0,sp,&spol); |
| |
if ( !spol ) continue; |
| |
nd_to_vect64(m,s0vect,col,spol,svect); |
| |
maxrs = ndv_reduce_vect64(m,svect,cvect,col,imat,rvect,nred); |
| |
for ( i = 0; i < col; i++ ) if ( svect[i] ) break; |
| |
if ( i < col ) { |
| |
spmat[sprow] = v = (U64 *)MALLOC_ATOMIC(spcol*sizeof(U64)); |
| |
for ( j = k = 0; j < col; j++ ) |
| |
if ( !rhead[j] ) v[k++] = (UINT)svect[j]; |
| |
spsugar[sprow] = MAX(maxrs,SG(spol)); |
| |
if ( nz ) |
| |
spactive[sprow] = sp; |
| |
sprow++; |
| |
} |
| |
nd_free(spol); |
| |
} |
| |
get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1); |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"elim1=%.3fsec,",eg_f4_1.exectime+eg_f4_1.gctime); |
| |
fflush(asir_out); |
| |
} |
| |
/* free index arrays */ |
| |
for ( i = 0; i < nred; i++ ) GCFREE(imat[i]->index.c); |
| |
|
| |
/* elimination (2nd step) */ |
| |
colstat = (int *)MALLOC(spcol*sizeof(int)); |
| |
rank = nd_gauss_elim_mod64(spmat,spsugar,spactive,sprow,spcol,m,colstat); |
| |
r0 = 0; |
| |
for ( i = 0; i < rank; i++ ) { |
| |
NEXTNODE(r0,r); BDY(r) = |
| |
(pointer)vect64_to_ndv(spmat[i],spcol,col,rhead,s0vect); |
| |
SG((NDV)BDY(r)) = spsugar[i]; |
| |
GCFREE(spmat[i]); |
| |
} |
| |
if ( r0 ) NEXT(r) = 0; |
| |
|
| |
for ( ; i < sprow; i++ ) GCFREE(spmat[i]); |
| |
get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2); |
| |
init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2); |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"elim2=%.3fsec,",eg_f4_2.exectime+eg_f4_2.gctime); |
| |
fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ", |
| |
nsp,nred,sprow,spcol,rank); |
| |
fprintf(asir_out,"%.3fsec,",eg_f4.exectime+eg_f4.gctime); |
| |
} |
| |
if ( nz ) { |
| |
for ( i = 0; i < rank-1; i++ ) NEXT(spactive[i]) = spactive[i+1]; |
| |
if ( rank > 0 ) { |
| |
NEXT(spactive[rank-1]) = 0; |
| |
*nz = spactive[0]; |
| |
} else |
| |
*nz = 0; |
| |
} |
| |
return r0; |
| |
} |
| |
#endif |
| |
|
| |
/* for small finite fields */ |
| |
|
| |
NODE nd_f4_red_sf_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col, |
| |
NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz) |
| |
{ |
| |
int spcol,sprow,a; |
| |
int i,j,k,l,rank; |
| |
NODE r0,r; |
| |
ND_pairs sp; |
| |
ND spol; |
| |
int **spmat; |
| |
UINT *svect,*v; |
| |
int *colstat; |
| |
struct oEGT eg0,eg1,eg2,eg_f4,eg_f4_1,eg_f4_2; |
| |
int maxrs; |
| |
int *spsugar; |
| |
ND_pairs *spactive; |
| |
|
| |
spcol = col-nred; |
| |
get_eg(&eg0); |
| |
/* elimination (1st step) */ |
| |
spmat = (int **)MALLOC(nsp*sizeof(UINT *)); |
| |
svect = (UINT *)MALLOC(col*sizeof(UINT)); |
| |
spsugar = (int *)MALLOC(nsp*sizeof(int)); |
| |
spactive = !nz?0:(ND_pairs *)MALLOC(nsp*sizeof(ND_pairs)); |
| |
for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) { |
| |
nd_sp(m,0,sp,&spol); |
| |
if ( !spol ) continue; |
| |
nd_to_vect(m,s0vect,col,spol,svect); |
| |
maxrs = ndv_reduce_vect_sf(m,svect,col,imat,rvect,nred); |
| |
for ( i = 0; i < col; i++ ) if ( svect[i] ) break; |
| |
if ( i < col ) { |
| |
spmat[sprow] = v = (UINT *)MALLOC_ATOMIC(spcol*sizeof(UINT)); |
| |
for ( j = k = 0; j < col; j++ ) |
| |
if ( !rhead[j] ) v[k++] = svect[j]; |
| |
spsugar[sprow] = MAX(maxrs,SG(spol)); |
| |
if ( nz ) |
| |
spactive[sprow] = sp; |
| |
sprow++; |
| |
} |
| |
nd_free(spol); |
| |
} |
| |
get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1); |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"elim1=%.3fsec,",eg_f4_1.exectime+eg_f4_1.gctime); |
| |
fflush(asir_out); |
| |
} |
| |
/* free index arrays */ |
| |
for ( i = 0; i < nred; i++ ) GCFREE(imat[i]->index.c); |
| |
|
| |
/* elimination (2nd step) */ |
| |
colstat = (int *)MALLOC(spcol*sizeof(int)); |
| |
rank = nd_gauss_elim_sf(spmat,spsugar,sprow,spcol,m,colstat); |
| |
r0 = 0; |
| |
for ( i = 0; i < rank; i++ ) { |
| |
NEXTNODE(r0,r); BDY(r) = |
| |
(pointer)vect_to_ndv(spmat[i],spcol,col,rhead,s0vect); |
| |
SG((NDV)BDY(r)) = spsugar[i]; |
| |
GCFREE(spmat[i]); |
| |
} |
| |
if ( r0 ) NEXT(r) = 0; |
| |
|
| |
for ( ; i < sprow; i++ ) GCFREE(spmat[i]); |
| |
get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2); |
| |
init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2); |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"elim2=%.3fsec,",eg_f4_2.exectime+eg_f4_2.gctime); |
| |
fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ", |
| |
nsp,nred,sprow,spcol,rank); |
| |
fprintf(asir_out,"%.3fsec,",eg_f4.exectime+eg_f4.gctime); |
| |
} |
| |
if ( nz ) { |
| |
for ( i = 0; i < rank-1; i++ ) NEXT(spactive[i]) = spactive[i+1]; |
| |
if ( rank > 0 ) { |
| |
NEXT(spactive[rank-1]) = 0; |
| |
*nz = spactive[0]; |
| |
} else |
| |
*nz = 0; |
| |
} |
| |
return r0; |
| |
} |
| |
|
| |
NODE nd_f4_red_lf_main(int m,ND_pairs sp0,int nsp,int trace,UINT *s0vect,int col, |
| |
NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred) |
| |
{ |
| |
int spcol,sprow,a; |
| |
int i,j,k,l,rank; |
| |
NODE r0,r; |
| |
ND_pairs sp; |
| |
ND spol; |
| |
mpz_t **spmat; |
| |
mpz_t *svect,*v; |
| |
int *colstat; |
| |
struct oEGT eg0,eg1,eg2,eg_f4,eg_f4_1,eg_f4_2; |
| |
int maxrs; |
| |
int *spsugar; |
| |
pointer *w; |
| |
|
| |
spcol = col-nred; |
| |
get_eg(&eg0); |
| |
/* elimination (1st step) */ |
| |
spmat = (mpz_t **)MALLOC(nsp*sizeof(mpz_t *)); |
| |
svect = (mpz_t *)MALLOC(col*sizeof(mpz_t)); |
| |
spsugar = (int *)MALLOC(nsp*sizeof(int)); |
| |
for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) { |
| |
nd_sp(m,trace,sp,&spol); |
| |
if ( !spol ) continue; |
| |
nd_to_vect_lf(s0vect,col,spol,svect); |
| |
maxrs = ndv_reduce_vect_lf(svect,trace,col,imat,rvect,nred); |
| |
for ( i = 0; i < col; i++ ) if ( mpz_sgn(svect[i]) ) break; |
| |
if ( i < col ) { |
| |
spmat[sprow] = v = (mpz_t *)MALLOC(spcol*sizeof(mpz_t)); |
| |
for ( j = k = 0; j < col; j++ ) |
| |
if ( !rhead[j] ) v[k++][0] = svect[j][0]; |
| |
spsugar[sprow] = MAX(maxrs,SG(spol)); |
| |
sprow++; |
| |
} |
| |
/* nd_free(spol); */ |
| |
} |
| |
get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1); |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"elim1=%.3fsec,",eg_f4_1.exectime+eg_f4_1.gctime); |
| |
fflush(asir_out); |
| |
} |
| |
/* free index arrays */ |
| |
/* for ( i = 0; i < nred; i++ ) GCFREE(imat[i]->index.c); */ |
| |
|
| |
/* elimination (2nd step) */ |
| |
colstat = (int *)MALLOC(spcol*sizeof(int)); |
| |
rank = nd_gauss_elim_lf(spmat,spsugar,sprow,spcol,colstat); |
| |
w = (pointer *)MALLOC(rank*sizeof(pointer)); |
| |
for ( i = 0; i < rank; i++ ) { |
| |
#if 0 |
| |
w[rank-i-1] = (pointer)vect_to_ndv_lf(spmat[i],spcol,col,rhead,s0vect); |
| |
SG((NDV)w[rank-i-1]) = spsugar[i]; |
| |
#else |
| |
w[i] = (pointer)vect_to_ndv_lf(spmat[i],spcol,col,rhead,s0vect); |
| |
SG((NDV)w[i]) = spsugar[i]; |
| |
#endif |
| |
/* GCFREE(spmat[i]); */ |
| |
|
| |
} |
| |
#if 0 |
| |
qsort(w,rank,sizeof(NDV), |
| |
(int (*)(const void *,const void *))ndv_compare); |
| |
#endif |
| |
r0 = 0; |
| |
for ( i = 0; i < rank; i++ ) { |
| |
NEXTNODE(r0,r); BDY(r) = w[i]; |
| |
} |
| |
if ( r0 ) NEXT(r) = 0; |
| |
|
| |
/* for ( ; i < sprow; i++ ) GCFREE(spmat[i]); */ |
| |
get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2); |
| |
init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2); |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"elim2=%.3fsec,",eg_f4_2.exectime+eg_f4_2.gctime); |
| |
fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ", |
| |
nsp,nred,sprow,spcol,rank); |
| |
fprintf(asir_out,"%.3fsec,",eg_f4.exectime+eg_f4.gctime); |
| |
} |
| |
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 **)MALLOC(nsp*sizeof(Q *)); |
| |
svect = (Q *)MALLOC(col*sizeof(Q)); |
| |
spsugar = (int *)MALLOC(nsp*sizeof(int)); |
| |
for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) { |
| |
nd_sp(0,trace,sp,&spol); |
| |
if ( !spol ) continue; |
| |
nd_to_vect_q(s0vect,col,spol,svect); |
| |
maxrs = ndv_reduce_vect_q(svect,trace,col,imat,rvect,nred); |
| |
for ( i = 0; i < col; i++ ) if ( svect[i] ) break; |
| |
if ( i < col ) { |
| |
spmat[sprow] = v = (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=%.3fsec,",eg_f4_1.exectime+eg_f4_1.gctime); |
| |
fflush(asir_out); |
| |
} |
| |
/* free index arrays */ |
| |
/* for ( i = 0; i < nred; i++ ) GCFREE(imat[i]->index.c); */ |
| |
|
| |
/* elimination (2nd step) */ |
| |
colstat = (int *)MALLOC(spcol*sizeof(int)); |
| |
rank = nd_gauss_elim_q(spmat,spsugar,sprow,spcol,colstat); |
| |
w = (pointer *)MALLOC(rank*sizeof(pointer)); |
| |
for ( i = 0; i < rank; i++ ) { |
| |
#if 0 |
| |
w[rank-i-1] = (pointer)vect_to_ndv_q(spmat[i],spcol,col,rhead,s0vect); |
| |
SG((NDV)w[rank-i-1]) = spsugar[i]; |
| |
#else |
| |
w[i] = (pointer)vect_to_ndv_q(spmat[i],spcol,col,rhead,s0vect); |
| |
SG((NDV)w[i]) = spsugar[i]; |
| |
#endif |
| |
/* GCFREE(spmat[i]); */ |
| |
} |
| |
#if 0 |
| |
qsort(w,rank,sizeof(NDV), |
| |
(int (*)(const void *,const void *))ndv_compare); |
| |
#endif |
| |
r0 = 0; |
| |
for ( i = 0; i < rank; i++ ) { |
| |
NEXTNODE(r0,r); BDY(r) = w[i]; |
| |
} |
| |
if ( r0 ) NEXT(r) = 0; |
| |
|
| |
/* for ( ; i < sprow; i++ ) GCFREE(spmat[i]); */ |
| |
get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2); |
| |
init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2); |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"elim2=%.3fsec,",eg_f4_2.exectime+eg_f4_2.gctime); |
| |
fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ", |
| |
nsp,nred,sprow,spcol,rank); |
| |
fprintf(asir_out,"%.3fsec,",eg_f4.exectime+eg_f4.gctime); |
| |
} |
| |
return r0; |
| |
} |
| |
|
| |
NODE nd_f4_red_gz_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; |
| |
GZ **spmat; |
| |
GZ *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 = (GZ **)MALLOC(nsp*sizeof(GZ *)); |
| |
svect = (GZ *)MALLOC(col*sizeof(GZ)); |
| |
spsugar = (int *)MALLOC(nsp*sizeof(int)); |
| |
for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) { |
| |
nd_sp(0,trace,sp,&spol); |
| |
if ( !spol ) continue; |
| |
spol = ndtondgz(spol); |
| |
nd_to_vect_q(s0vect,col,spol,(Q *)svect); |
| |
maxrs = ndv_reduce_vect_gz(svect,trace,col,imat,rvect,nred); |
| |
for ( i = 0; i < col; i++ ) if ( svect[i] ) break; |
| |
if ( i < col ) { |
| |
spmat[sprow] = v = (GZ *)MALLOC(spcol*sizeof(GZ)); |
| |
for ( j = k = 0; j < col; j++ ) |
| |
if ( !rhead[j] ) v[k++] = svect[j]; |
| |
spsugar[sprow] = MAX(maxrs,SG(spol)); |
| |
sprow++; |
| |
} |
| |
/* nd_free(spol); */ |
| |
} |
| |
get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1); |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"elim1=%.3fsec,",eg_f4_1.exectime+eg_f4_1.gctime); |
| |
fflush(asir_out); |
| |
} |
| |
/* free index arrays */ |
| |
/* for ( i = 0; i < nred; i++ ) GCFREE(imat[i]->index.c); */ |
| |
|
| |
/* elimination (2nd step) */ |
| |
colstat = (int *)MALLOC(spcol*sizeof(int)); |
| |
rank = nd_gauss_elim_gz(spmat,spsugar,sprow,spcol,colstat); |
| |
w = (pointer *)MALLOC(rank*sizeof(pointer)); |
| |
for ( i = 0; i < rank; i++ ) { |
| |
#if 0 |
| |
w[rank-i-1] = (pointer)vect_to_ndv_gz(spmat[i],spcol,col,rhead,s0vect); |
| |
w[rank-i-1] = ndvgztondv(w[rank-i-1]); |
| |
SG((NDV)w[rank-i-1]) = spsugar[i]; |
| |
#else |
| |
w[i] = (pointer)vect_to_ndv_gz(spmat[i],spcol,col,rhead,s0vect); |
| |
w[i] = ndvgztondv(w[i]); |
| |
SG((NDV)w[i]) = spsugar[i]; |
| |
#endif |
| |
/* GCFREE(spmat[i]); */ |
| |
|
| |
} |
| |
#if 0 |
| |
qsort(w,rank,sizeof(NDV), |
| |
(int (*)(const void *,const void *))ndv_compare); |
| |
#endif |
| |
r0 = 0; |
| |
for ( i = 0; i < rank; i++ ) { |
| |
NEXTNODE(r0,r); BDY(r) = w[i]; |
| |
} |
| |
if ( r0 ) NEXT(r) = 0; |
| |
|
| |
/* for ( ; i < sprow; i++ ) GCFREE(spmat[i]); */ |
| |
get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2); |
| |
init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2); |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"elim2=%.3fsec,",eg_f4_2.exectime+eg_f4_2.gctime); |
| |
fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ", |
| |
nsp,nred,sprow,spcol,rank); |
| |
fprintf(asir_out,"%.3fsec,",eg_f4.exectime+eg_f4.gctime); |
| |
} |
| |
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 **)MALLOC(row*sizeof(Q *)); |
| |
sugar = (int *)MALLOC(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 *)MALLOC(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)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 nd_gauss_elim_q(Q **mat0,int *sugar,int row,int col,int *colstat) |
| |
{ |
| |
int i,j,t,c,rank,inv; |
| |
int *ci,*ri; |
| |
Q dn; |
| |
MAT m,nm; |
| |
|
| |
NEWMAT(m); m->row = row; m->col = col; m->body = (pointer **)mat0; |
| |
rank = generic_gauss_elim(m,&nm,&dn,&ri,&ci); |
| |
for ( i = 0; i < row; i++ ) |
| |
for ( j = 0; j < col; j++ ) |
| |
mat0[i][j] = 0; |
| |
c = col-rank; |
| |
for ( i = 0; i < rank; i++ ) { |
| |
mat0[i][ri[i]] = dn; |
| |
for ( j = 0; j < c; j++ ) |
| |
mat0[i][ci[j]] = (Q)BDY(nm)[i][j]; |
| |
} |
| |
return rank; |
| |
} |
| |
|
| |
int nd_gauss_elim_gz(GZ **mat0,int *sugar,int row,int col,int *colstat) |
| |
{ |
| |
int i,j,t,c,rank,inv; |
| |
int *ci,*ri; |
| |
GZ dn; |
| |
MAT m,nm; |
| |
|
| |
NEWMAT(m); m->row = row; m->col = col; m->body = (pointer **)mat0; |
| |
rank = gz_generic_gauss_elim(m,&nm,&dn,&ri,&ci); |
| |
for ( i = 0; i < row; i++ ) |
| |
for ( j = 0; j < col; j++ ) |
| |
mat0[i][j] = 0; |
| |
c = col-rank; |
| |
for ( i = 0; i < rank; i++ ) { |
| |
mat0[i][ri[i]] = dn; |
| |
for ( j = 0; j < c; j++ ) |
| |
mat0[i][ci[j]] = (GZ)BDY(nm)[i][j]; |
| |
} |
| |
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; |
| |
} |
| |
|
| |
#if defined(__GNUC__) && SIZEOF_LONG==8 |
| |
|
| |
int nd_gauss_elim_mod64(U64 **mat,int *sugar,ND_pairs *spactive,int row,int col,int md,int *colstat) |
| |
{ |
| |
int i,j,k,l,rank,s; |
| |
U64 inv; |
| |
U64 a; |
| |
UINT c; |
| |
U64 *t,*pivot,*pk; |
| |
UINT *ck; |
| |
UINT **cmat; |
| |
UINT *ct; |
| |
ND_pairs pair; |
| |
|
| |
cmat = (UINT **)MALLOC(row*sizeof(UINT *)); |
| |
for ( i = 0; i < row; i++ ) { |
| |
cmat[i] = MALLOC_ATOMIC(col*sizeof(UINT)); |
| |
bzero(cmat[i],col*sizeof(UINT)); |
| |
} |
| |
|
| |
for ( rank = 0, j = 0; j < col; j++ ) { |
| |
for ( i = rank; i < row; i++ ) { |
| |
a = mat[i][j]; c = cmat[i][j]; |
| |
MOD128(a,c,md); |
| |
mat[i][j] = a; cmat[i][j] = 0; |
| |
} |
| |
for ( i = rank; i < row; i++ ) |
| |
if ( mat[i][j] ) |
| |
break; |
| |
if ( i == row ) { |
| |
colstat[j] = 0; |
| |
continue; |
| |
} else |
| |
colstat[j] = 1; |
| |
if ( i != rank ) { |
| |
t = mat[i]; mat[i] = mat[rank]; mat[rank] = t; |
| |
ct = cmat[i]; cmat[i] = cmat[rank]; cmat[rank] = ct; |
| |
s = sugar[i]; sugar[i] = sugar[rank]; sugar[rank] = s; |
| |
if ( spactive ) { |
| |
pair = spactive[i]; spactive[i] = spactive[rank]; |
| |
spactive[rank] = pair; |
| |
} |
| |
} |
| |
/* column j is normalized */ |
| |
s = sugar[rank]; |
| |
inv = invm((UINT)mat[rank][j],md); |
| |
/* normalize pivot row */ |
| |
for ( k = j, pk = mat[rank]+j, ck = cmat[rank]+j; k < col; k++, pk++, ck++ ) { |
| |
a = *pk; c = *ck; MOD128(a,c,md); *pk = (a*inv)%md; *ck = 0; |
| |
} |
| |
for ( i = rank+1; i < row; i++ ) { |
| |
if ( a = mat[i][j] ) { |
| |
sugar[i] = MAX(sugar[i],s); |
| |
red_by_vect64(md,mat[i]+j,cmat[i]+j,mat[rank]+j,(int)(md-a),col-j); |
| |
} |
| |
} |
| |
rank++; |
| |
} |
| |
for ( j = col-1, l = rank-1; j >= 0; j-- ) |
| |
if ( colstat[j] ) { |
| |
for ( k = j, pk = mat[l]+j, ck = cmat[l]+j; k < col; k++, pk++, ck++ ) { |
| |
a = *pk; c = *ck; MOD128(a,c,md); *pk = a; *ck = 0; |
| |
} |
| |
s = sugar[l]; |
| |
for ( i = 0; i < l; i++ ) { |
| |
a = mat[i][j]; c = cmat[i][j]; MOD128(a,c,md); mat[i][j] = a; cmat[i][j] = 0; |
| |
if ( a ) { |
| |
sugar[i] = MAX(sugar[i],s); |
| |
red_by_vect64(md,mat[i]+j,cmat[i]+j,mat[l]+j,(int)(md-a),col-j); |
| |
} |
| |
} |
| |
l--; |
| |
} |
| |
for ( i = 0; i < row; i++ ) GCFREE(cmat[i]); |
| |
GCFREE(cmat); |
| |
return rank; |
| |
} |
| |
#endif |
| |
|
| |
int nd_gauss_elim_sf(int **mat0,int *sugar,int row,int col,int md,int *colstat) |
| |
{ |
| |
int i,j,k,l,inv,a,rank,s; |
| |
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); |
| |
} |
| |
|
| |
void nd_save_mod(ND p,int index) |
| |
{ |
| |
FILE *s; |
| |
char name[BUFSIZ]; |
| |
int nv,sugar,len,c; |
| |
NM m; |
| |
|
| |
sprintf(name,"%s/%d",Demand,index); |
| |
s = fopen(name,"w"); |
| |
if ( !p ) { |
| |
len = 0; |
| |
write_int(s,&len); |
| |
fclose(s); |
| |
return; |
| |
} |
| |
nv = NV(p); |
| |
sugar = SG(p); |
| |
len = LEN(p); |
| |
write_int(s,&nv); write_int(s,&sugar); write_int(s,&len); |
| |
for ( m = BDY(p); m; m = NEXT(m) ) { |
| |
c = CM(m); write_int(s,&c); |
| |
write_intarray(s,DL(m),nd_wpd); |
| } |
} |
| |
fclose(s); |
| } |
} |
| |
|
| NDV ndtondv(ND p) |
NDV ndv_load(int index) |
| { |
{ |
| NDV d; |
FILE *s; |
| NMV m,m0; |
char name[BUFSIZ]; |
| NM t; |
short id; |
| int i,len; |
int nv,sugar,len,n,i,td,e,j; |
| |
NDV d; |
| |
NMV m0,m; |
| |
unsigned int *dl; |
| |
Obj obj; |
| |
int mpos; |
| |
|
| if ( !p ) |
sprintf(name,"%s/%d",Demand,index); |
| return 0; |
s = fopen(name,"r"); |
| len = nd_length(p); |
if ( !s ) return 0; |
| m0 = m = (NMV)MALLOC_ATOMIC(len*nmv_adv); |
|
| for ( t = BDY(p), i = 0; t; t = NEXT(t), i++, NMV_ADV(m) ) { |
skipvl(s); |
| m->td = t->td; |
read_short(s,&id); |
| bcopy(t->dl,m->dl,nd_wpd*sizeof(unsigned int)); |
if ( !id ) return 0; |
| m->c = t->c; |
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; |
| |
} |
| |
|
| |
ND nd_load_mod(int index) |
| |
{ |
| |
FILE *s; |
| |
char name[BUFSIZ]; |
| |
int nv,sugar,len,i,c; |
| |
ND d; |
| |
NM m0,m; |
| |
|
| |
sprintf(name,"%s/%d",Demand,index); |
| |
s = fopen(name,"r"); |
| |
/* if the file does not exist, it means p[index]=0 */ |
| |
if ( !s ) return 0; |
| |
|
| |
read_int(s,&nv); |
| |
if ( !nv ) { fclose(s); return 0; } |
| |
|
| |
read_int(s,&sugar); |
| |
read_int(s,&len); |
| |
for ( m0 = 0, i = 0; i < len; i++ ) { |
| |
NEXTNM(m0,m); |
| |
read_int(s,&c); CM(m) = c; |
| |
read_intarray(s,DL(m),nd_wpd); |
| } |
} |
| MKNDV(NV(p),m0,len,d); |
NEXT(m) = 0; |
| d->sugar = p->sugar; |
MKND(nv,m0,len,d); |
| return d; |
SG(d) = sugar; |
| |
fclose(s); |
| |
return d; |
| } |
} |
| |
|
| void ndv_print(NDV p) |
void nd_det(int mod,MAT f,P *rp) |
| { |
{ |
| NMV m; |
VL fv,tv; |
| int i,len; |
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 ( !p ) |
if ( !mod ) { |
| printf("0\n"); |
w = (P **)almat_pointer(n,n); |
| else { |
dq = ONE; |
| len = p->len; |
for ( i = 0; i < n; i++ ) { |
| for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) { |
dn0 = ONEN; |
| printf("+%d*",m->c); |
for ( j = 0; j < n; j++ ) { |
| ndl_print(m->dl); |
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 = 1; i < n; i++ ) |
| |
for ( j = 0; j < n; j++ ) |
| |
for ( tv = fv; tv; tv = NEXT(tv) ) { |
| |
e = getdeg(tv->v,(P)m[i][j]); |
| |
max = MAX(e,max); |
| |
} |
| |
nd_setup_parameters(nvar,max); |
| |
dm = (NDV **)almat_pointer(n,n); |
| |
for ( i = 0, max = 1; i < n; i++ ) |
| |
for ( j = 0; j < n; j++ ) { |
| |
dm[i][j] = ptondv(CO,fv,m[i][j]); |
| |
if ( mod ) ndv_mod(mod,dm[i][j]); |
| |
if ( dm[i][j] && !LEN(dm[i][j]) ) dm[i][j] = 0; |
| |
} |
| |
d = ptondv(CO,fv,(P)ONE); |
| |
if ( mod ) ndv_mod(mod,d); |
| |
chsgnq(ONE,&mone); |
| |
for ( j = 0, sgn = 1; j < n; j++ ) { |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,".",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(asir_out," i=%d\n ",i); */ |
| |
mi = dm[i]; mij = mi[j]; |
| |
if ( mod ) |
| |
ndv_mul_c(mod,mij,mod-1); |
| |
else |
| |
ndv_mul_c_q(mij,mone); |
| |
for ( k = j+1; k < n; k++ ) { |
| |
/* if ( DP_Print ) fprintf(asir_out,"k=%d ",k); */ |
| |
bucket = create_pbucket(); |
| |
if ( mi[k] ) { |
| |
nmv = BDY(mjj); len = LEN(mjj); |
| |
for ( a = 0; a < len; a++, NMV_ADV(nmv) ) { |
| |
u = ndv_mul_nmv_trunc(mod,nmv,mi[k],DL(BDY(d))); |
| |
add_pbucket(mod,bucket,u); |
| |
} |
| |
} |
| |
if ( mj[k] && mij ) { |
| |
nmv = BDY(mij); len = LEN(mij); |
| |
for ( a = 0; a < len; a++, NMV_ADV(nmv) ) { |
| |
u = ndv_mul_nmv_trunc(mod,nmv,mj[k],DL(BDY(d))); |
| |
add_pbucket(mod,bucket,u); |
| |
} |
| |
} |
| |
u = nd_quo(mod,bucket,d); |
| |
mi[k] = ndtondv(mod,u); |
| |
} |
| |
/* if ( DP_Print ) fprintf(asir_out,"\n",k); */ |
| |
} |
| |
d = mjj; |
| |
} |
| |
if ( DP_Print ) { |
| |
fprintf(asir_out,"\n",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 = (Obj)CQ(m); |
| |
mp->dl = nd_separate_d(DL(m),DL(ma)); |
| |
NEWNM(mb); |
| |
for ( m = NEXT(m); m; m = NEXT(m) ) { |
| |
alg = nd_separate_d(DL(m),DL(mb)); |
| |
if ( !ndl_equal(DL(ma),DL(mb)) ) |
| |
break; |
| |
NEXTMP(mp0,mp); mp->c = (Obj)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 == -2 ) divlf(a.z,b.z,&c.z); |
| |
else if ( mod ) { |
| |
inv = invm(b.m,mod); |
| |
DMAR(a.m,inv,0,mod,t); c.m = t; |
| |
} else if ( nd_vc ) |
| |
divsp(nd_vc,a.p,b.p,&c.p); |
| |
else |
| |
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 > 0 ) { |
| |
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,NULLP,NULLP,NULLP,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; |
| |
} |
| |
|
| |
void parse_nd_option(NODE opt) |
| |
{ |
| |
NODE t,p,u; |
| |
int i,s,n; |
| |
char *key; |
| |
Obj value; |
| |
|
| |
nd_gentrace = 0; nd_gensyz = 0; nd_nora = 0; nd_gbblock = 0; |
| |
nd_newelim = 0; nd_intersect = 0; nd_nzlist = 0; |
| |
nd_splist = 0; nd_check_splist = 0; |
| |
nd_sugarweight = 0; |
| |
nd_f4red =0; |
| |
nd_rank0 = 0; |
| |
for ( t = opt; t; t = NEXT(t) ) { |
| |
p = BDY((LIST)BDY(t)); |
| |
key = BDY((STRING)BDY(p)); |
| |
value = (Obj)BDY(NEXT(p)); |
| |
if ( !strcmp(key,"gentrace") ) |
| |
nd_gentrace = value?1:0; |
| |
else if ( !strcmp(key,"gensyz") ) |
| |
nd_gensyz = value?1:0; |
| |
else if ( !strcmp(key,"nora") ) |
| |
nd_nora = value?1:0; |
| |
else if ( !strcmp(key,"gbblock") ) { |
| |
if ( value && OID(value) == O_LIST ) { |
| |
u = BDY((LIST)value); |
| |
nd_gbblock = MALLOC((2*length(u)+1)*sizeof(int)); |
| |
for ( i = 0; u; u = NEXT(u) ) { |
| |
p = BDY((LIST)BDY(u)); |
| |
s = nd_gbblock[i++] = QTOS((Q)BDY(p)); |
| |
nd_gbblock[i++] = s+QTOS((Q)BDY(NEXT(p)))-1; |
| |
} |
| |
nd_gbblock[i] = -1; |
| |
} else |
| |
nd_gbblock = 0; |
| |
} else if ( !strcmp(key,"newelim") ) |
| |
nd_newelim = value?1:0; |
| |
else if ( !strcmp(key,"intersect") ) |
| |
nd_intersect = value?1:0; |
| |
else if ( !strcmp(key,"lf") ) |
| |
nd_lf = value?1:0; |
| |
else if ( !strcmp(key,"trace") ) { |
| |
u = BDY((LIST)value); |
| |
nd_nzlist = BDY((LIST)ARG2(u)); |
| |
nd_bpe = QTOS((Q)ARG3(u)); |
| |
} else if ( !strcmp(key,"f4red") ) { |
| |
nd_f4red = QTOS((Q)value); |
| |
} else if ( !strcmp(key,"rank0") ) { |
| |
nd_rank0 = value?1:0; |
| |
} else if ( !strcmp(key,"splist") ) { |
| |
nd_splist = value?1:0; |
| |
} else if ( !strcmp(key,"check_splist") ) { |
| |
nd_check_splist = BDY((LIST)value); |
| |
} else if ( !strcmp(key,"sugarweight") ) { |
| |
u = BDY((LIST)value); |
| |
n = length(u); |
| |
nd_sugarweight = MALLOC(n*sizeof(int)); |
| |
for ( i = 0; i < n; i++, u = NEXT(u) ) |
| |
nd_sugarweight[i] = QTOS((Q)BDY(u)); |
| } |
} |
| printf("\n"); |
} |
| |
} |
| |
|
| |
ND mdptond(DP d); |
| |
ND nd_mul_nm(int mod,NM m0,ND p); |
| |
ND *btog(NODE ti,ND **p,int nb,int mod); |
| |
ND btog_one(NODE ti,ND *p,int nb,int mod); |
| |
MAT nd_btog(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,MAT *rp); |
| |
VECT nd_btog_one(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,int pos,MAT *rp); |
| |
|
| |
/* d:monomial */ |
| |
ND mdptond(DP d) |
| |
{ |
| |
NM m; |
| |
ND r; |
| |
|
| |
if ( OID(d) == 1 ) |
| |
r = ptond(CO,CO,(P)d); |
| |
else { |
| |
NEWNM(m); |
| |
dltondl(NV(d),BDY(d)->dl,DL(m)); |
| |
CQ(m) = (Q)BDY(d)->c; |
| |
NEXT(m) = 0; |
| |
MKND(NV(d),m,1,r); |
| |
} |
| |
return r; |
| |
} |
| |
|
| |
ND nd_mul_nm(int mod,NM m0,ND p) |
| |
{ |
| |
UINT *d0; |
| |
int c0,c1,c; |
| |
NM tm,mr,mr0; |
| |
ND r; |
| |
|
| |
if ( !p ) return 0; |
| |
d0 = DL(m0); |
| |
c0 = CM(m0); |
| |
mr0 = 0; |
| |
for ( tm = BDY(p); tm; tm = NEXT(tm) ) { |
| |
NEXTNM(mr0,mr); |
| |
c = CM(tm); DMAR(c0,c,0,mod,c1); CM(mr) = c1; |
| |
ndl_add(d0,DL(tm),DL(mr)); |
| |
} |
| |
NEXT(mr) = 0; |
| |
MKND(NV(p),mr0,LEN(p),r); |
| |
return r; |
| |
} |
| |
|
| |
ND *btog(NODE ti,ND **p,int nb,int mod) |
| |
{ |
| |
PGeoBucket *r; |
| |
int i,ci; |
| |
NODE t,s; |
| |
ND m,tp; |
| |
ND *pi,*rd; |
| |
P c; |
| |
|
| |
r = (PGeoBucket *)MALLOC(nb*sizeof(PGeoBucket)); |
| |
for ( i = 0; i < nb; i++ ) |
| |
r[i] = create_pbucket(); |
| |
for ( t = ti; t; t = NEXT(t) ) { |
| |
s = BDY((LIST)BDY(t)); |
| |
if ( ARG0(s) ) { |
| |
m = mdptond((DP)ARG2(s)); |
| |
ptomp(mod,(P)HCQ(m),&c); |
| |
if ( ci = ((MQ)c)->cont ) { |
| |
HCM(m) = ci; |
| |
pi = p[QTOS((Q)ARG1(s))]; |
| |
for ( i = 0; i < nb; i++ ) { |
| |
tp = nd_mul_nm(mod,BDY(m),pi[i]); |
| |
add_pbucket(mod,r[i],tp); |
| |
} |
| |
} |
| |
ci = 1; |
| |
} else { |
| |
ptomp(mod,(P)ARG3(s),&c); ci = ((MQ)c)->cont; |
| |
ci = invm(ci,mod); |
| } |
} |
| |
} |
| |
rd = (ND *)MALLOC(nb*sizeof(ND)); |
| |
for ( i = 0; i < nb; i++ ) |
| |
rd[i] = normalize_pbucket(mod,r[i]); |
| |
if ( ci != 1 ) |
| |
for ( i = 0; i < nb; i++ ) nd_mul_c(mod,rd[i],ci); |
| |
return rd; |
| } |
} |
| |
|
| |
ND btog_one(NODE ti,ND *p,int nb,int mod) |
| |
{ |
| |
PGeoBucket r; |
| |
int i,ci,j; |
| |
NODE t,s; |
| |
ND m,tp; |
| |
ND pi,rd; |
| |
P c; |
| |
|
| |
r = create_pbucket(); |
| |
for ( t = ti; t; t = NEXT(t) ) { |
| |
s = BDY((LIST)BDY(t)); |
| |
if ( ARG0(s) ) { |
| |
m = mdptond((DP)ARG2(s)); |
| |
ptomp(mod,(P)HCQ(m),&c); |
| |
if ( ci = ((MQ)c)->cont ) { |
| |
HCM(m) = ci; |
| |
pi = p[j=QTOS((Q)ARG1(s))]; |
| |
if ( !pi ) { |
| |
pi = nd_load_mod(j); |
| |
tp = nd_mul_nm(mod,BDY(m),pi); |
| |
nd_free(pi); |
| |
add_pbucket(mod,r,tp); |
| |
} else { |
| |
tp = nd_mul_nm(mod,BDY(m),pi); |
| |
add_pbucket(mod,r,tp); |
| |
} |
| |
} |
| |
ci = 1; |
| |
} else { |
| |
ptomp(mod,(P)ARG3(s),&c); ci = ((MQ)c)->cont; |
| |
ci = invm(ci,mod); |
| |
} |
| |
} |
| |
rd = normalize_pbucket(mod,r); |
| |
free_pbucket(r); |
| |
if ( ci != 1 ) nd_mul_c(mod,rd,ci); |
| |
return rd; |
| |
} |
| |
|
| |
MAT nd_btog(LIST f,LIST v,int mod,struct order_spec *ord,LIST tlist,MAT *rp) |
| |
{ |
| |
int i,j,n,m,nb,pi0,pi1,nvar; |
| |
VL fv,tv,vv; |
| |
NODE permtrace,perm,trace,intred,ind,t,pi,ti; |
| |
ND **p; |
| |
ND *c; |
| |
ND u; |
| |
P inv; |
| |
MAT mat; |
| |
|
| |
parse_nd_option(current_option); |
| |
get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc); |
| |
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); |
| |
switch ( ord->id ) { |
| |
case 1: |
| |
if ( ord->nv != nvar ) |
| |
error("nd_check : invalid order specification"); |
| |
break; |
| |
default: |
| |
break; |
| |
} |
| |
nd_init_ord(ord); |
| |
#if 0 |
| |
nd_bpe = QTOS((Q)ARG7(BDY(tlist))); |
| |
#else |
| |
nd_bpe = 32; |
| #endif |
#endif |
| |
nd_setup_parameters(nvar,0); |
| |
permtrace = BDY((LIST)ARG2(BDY(tlist))); |
| |
intred = BDY((LIST)ARG3(BDY(tlist))); |
| |
ind = BDY((LIST)ARG4(BDY(tlist))); |
| |
perm = BDY((LIST)BDY(permtrace)); trace =NEXT(permtrace); |
| |
for ( i = length(perm)-1, t = trace; t; t = NEXT(t) ) { |
| |
j = QTOS((Q)BDY(BDY((LIST)BDY(t)))); |
| |
if ( j > i ) i = j; |
| |
} |
| |
n = i+1; |
| |
nb = length(BDY(f)); |
| |
p = (ND **)MALLOC(n*sizeof(ND *)); |
| |
for ( t = perm, i = 0; t; t = NEXT(t), i++ ) { |
| |
pi = BDY((LIST)BDY(t)); |
| |
pi0 = QTOS((Q)ARG0(pi)); pi1 = QTOS((Q)ARG1(pi)); |
| |
p[pi0] = c = (ND *)MALLOC(nb*sizeof(ND)); |
| |
ptomp(mod,(P)ARG2(pi),&inv); |
| |
((MQ)inv)->cont = invm(((MQ)inv)->cont,mod); |
| |
u = ptond(CO,vv,(P)ONE); |
| |
HCM(u) = ((MQ)inv)->cont; |
| |
c[pi1] = u; |
| |
} |
| |
for ( t = trace,i=0; t; t = NEXT(t), i++ ) { |
| |
printf("%d ",i); fflush(stdout); |
| |
ti = BDY((LIST)BDY(t)); |
| |
p[j=QTOS((Q)ARG0(ti))] = btog(BDY((LIST)ARG1(ti)),p,nb,mod); |
| |
} |
| |
for ( t = intred, i=0; t; t = NEXT(t), i++ ) { |
| |
printf("%d ",i); fflush(stdout); |
| |
ti = BDY((LIST)BDY(t)); |
| |
p[j=QTOS((Q)ARG0(ti))] = btog(BDY((LIST)ARG1(ti)),p,nb,mod); |
| |
} |
| |
m = length(ind); |
| |
MKMAT(mat,nb,m); |
| |
for ( j = 0, t = ind; j < m; j++, t = NEXT(t) ) |
| |
for ( i = 0, c = p[QTOS((Q)BDY(t))]; i < nb; i++ ) |
| |
BDY(mat)[i][j] = ndtodp(mod,c[i]); |
| |
return mat; |
| |
} |
| |
|
| |
VECT nd_btog_one(LIST f,LIST v,int mod,struct order_spec *ord, |
| |
LIST tlist,int pos,MAT *rp) |
| |
{ |
| |
int i,j,n,m,nb,pi0,pi1,nvar; |
| |
VL fv,tv,vv; |
| |
NODE permtrace,perm,trace,intred,ind,t,pi,ti; |
| |
ND *p; |
| |
ND *c; |
| |
ND u; |
| |
P inv; |
| |
VECT vect; |
| |
|
| |
parse_nd_option(current_option); |
| |
get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc); |
| |
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); |
| |
switch ( ord->id ) { |
| |
case 1: |
| |
if ( ord->nv != nvar ) |
| |
error("nd_check : invalid order specification"); |
| |
break; |
| |
default: |
| |
break; |
| |
} |
| |
nd_init_ord(ord); |
| |
#if 0 |
| |
nd_bpe = QTOS((Q)ARG7(BDY(tlist))); |
| |
#else |
| |
nd_bpe = 32; |
| |
#endif |
| |
nd_setup_parameters(nvar,0); |
| |
permtrace = BDY((LIST)ARG2(BDY(tlist))); |
| |
intred = BDY((LIST)ARG3(BDY(tlist))); |
| |
ind = BDY((LIST)ARG4(BDY(tlist))); |
| |
perm = BDY((LIST)BDY(permtrace)); trace =NEXT(permtrace); |
| |
for ( i = length(perm)-1, t = trace; t; t = NEXT(t) ) { |
| |
j = QTOS((Q)BDY(BDY((LIST)BDY(t)))); |
| |
if ( j > i ) i = j; |
| |
} |
| |
n = i+1; |
| |
nb = length(BDY(f)); |
| |
p = (ND *)MALLOC(n*sizeof(ND *)); |
| |
for ( t = perm, i = 0; t; t = NEXT(t), i++ ) { |
| |
pi = BDY((LIST)BDY(t)); |
| |
pi0 = QTOS((Q)ARG0(pi)); pi1 = QTOS((Q)ARG1(pi)); |
| |
if ( pi1 == pos ) { |
| |
ptomp(mod,(P)ARG2(pi),&inv); |
| |
((MQ)inv)->cont = invm(((MQ)inv)->cont,mod); |
| |
u = ptond(CO,vv,(P)ONE); |
| |
HCM(u) = ((MQ)inv)->cont; |
| |
p[pi0] = u; |
| |
} |
| |
} |
| |
for ( t = trace,i=0; t; t = NEXT(t), i++ ) { |
| |
printf("%d ",i); fflush(stdout); |
| |
ti = BDY((LIST)BDY(t)); |
| |
p[j=QTOS((Q)ARG0(ti))] = btog_one(BDY((LIST)ARG1(ti)),p,nb,mod); |
| |
if ( Demand ) { |
| |
nd_save_mod(p[j],j); nd_free(p[j]); p[j] = 0; |
| |
} |
| |
} |
| |
for ( t = intred, i=0; t; t = NEXT(t), i++ ) { |
| |
printf("%d ",i); fflush(stdout); |
| |
ti = BDY((LIST)BDY(t)); |
| |
p[j=QTOS((Q)ARG0(ti))] = btog_one(BDY((LIST)ARG1(ti)),p,nb,mod); |
| |
if ( Demand ) { |
| |
nd_save_mod(p[j],j); nd_free(p[j]); p[j] = 0; |
| |
} |
| |
} |
| |
m = length(ind); |
| |
MKVECT(vect,m); |
| |
for ( j = 0, t = ind; j < m; j++, t = NEXT(t) ) { |
| |
u = p[QTOS((Q)BDY(t))]; |
| |
if ( !u ) { |
| |
u = nd_load_mod(QTOS((Q)BDY(t))); |
| |
BDY(vect)[j] = ndtodp(mod,u); |
| |
nd_free(u); |
| |
} else |
| |
BDY(vect)[j] = ndtodp(mod,u); |
| |
} |
| |
return vect; |
| |
} |
| |
|
| |
void ndv_print_lf(NDV p) |
| |
{ |
| |
NMV m; |
| |
int i,len; |
| |
|
| |
if ( !p ) printf("0\n"); |
| |
else { |
| |
len = LEN(p); |
| |
for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) { |
| |
printf("+"); |
| |
mpz_out_str(asir_out,10,BDY(CZ(m))); |
| |
printf("*"); |
| |
ndl_print(DL(m)); |
| |
} |
| |
printf("\n"); |
| |
} |
| |
} |
| |
|
| |
void nd_f4_lf_trace(LIST f,LIST v,int trace,int homo,struct order_spec *ord,LIST *rp) |
| |
{ |
| |
VL tv,fv,vv,vc,av; |
| |
NODE fd,fd0,in0,in,r,r0,t,s,cand,alist; |
| |
int m,nocheck,nvar,mindex,e,max; |
| |
NDV c; |
| |
NMV a; |
| |
P p,zp; |
| |
Q dmy; |
| |
EPOS oepos; |
| |
int obpe,oadv,wmax,i,len,cbpe,ishomo,nalg,mrank,trank,ompos; |
| |
Alg alpha,dp; |
| |
P poly; |
| |
LIST f1,f2,zpl; |
| |
Obj obj; |
| |
NumberField nf; |
| |
struct order_spec *ord1; |
| |
struct oEGT eg_check,eg0,eg1; |
| |
NODE tr,tl1,tl2,tl3,tl4; |
| |
LIST l1,l2,l3,l4,l5; |
| |
int *perm; |
| |
int j,ret; |
| |
Q jq,bpe; |
| |
|
| |
nd_module = 0; |
| |
parse_nd_option(current_option); |
| |
get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc); |
| |
if ( nd_vc ) |
| |
error("nd_f4_lf_trace : computation over a rational function field is not implemented"); |
| |
for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); |
| |
switch ( ord->id ) { |
| |
case 1: |
| |
if ( ord->nv != nvar ) |
| |
error("nd_f4_lf_trace : invalid order specification"); |
| |
break; |
| |
default: |
| |
break; |
| |
} |
| |
|
| |
nd_ntrans = nvar; |
| |
nd_nalg = 0; |
| |
|
| |
nocheck = 0; |
| |
mindex = 0; |
| |
|
| |
/* do not use on-demand load/save */ |
| |
nd_demand = 0; |
| |
m = trace > 1 ? trace : get_lprime(mindex); |
| |
nd_init_ord(ord); |
| |
mrank = 0; |
| |
for ( t = BDY(f), max = 1; t; t = NEXT(t) ) |
| |
for ( tv = vv; tv; tv = NEXT(tv) ) { |
| |
if ( nd_module ) { |
| |
s = BDY((LIST)BDY(t)); |
| |
trank = length(s); |
| |
mrank = MAX(mrank,trank); |
| |
for ( ; s; s = NEXT(s) ) { |
| |
e = getdeg(tv->v,(P)BDY(s)); |
| |
max = MAX(e,max); |
| |
} |
| |
} else { |
| |
e = getdeg(tv->v,(P)BDY(t)); |
| |
max = MAX(e,max); |
| |
} |
| |
} |
| |
nd_setup_parameters(nvar,max); |
| |
obpe = nd_bpe; oadv = nmv_adv; oepos = nd_epos; ompos = nd_mpos; |
| |
ishomo = 1; |
| |
/* XXX */ |
| |
for ( in0 = 0, fd0 = 0, t = BDY(f); t; t = NEXT(t) ) { |
| |
if ( nd_module ) { |
| |
c = (pointer)pltondv(CO,vv,(LIST)BDY(t)); |
| |
} else { |
| |
c = (pointer)ptondv(CO,vv,(P)BDY(t)); |
| |
} |
| |
if ( ishomo ) |
| |
ishomo = ishomo && ndv_ishomo(c); |
| |
if ( c ) { |
| |
NEXTNODE(in0,in); BDY(in) = (pointer)c; |
| |
NEXTNODE(fd0,fd); BDY(fd) = (pointer)ndv_dup(0,c); |
| |
} |
| |
} |
| |
if ( in0 ) NEXT(in) = 0; |
| |
if ( fd0 ) NEXT(fd) = 0; |
| |
if ( !ishomo && homo ) { |
| |
for ( t = in0, wmax = max; t; t = NEXT(t) ) { |
| |
c = (NDV)BDY(t); len = LEN(c); |
| |
for ( a = BDY(c), i = 0; i < len; i++, NMV_ADV(a) ) |
| |
wmax = MAX(TD(DL(a)),wmax); |
| |
} |
| |
homogenize_order(ord,nvar,&ord1); |
| |
nd_init_ord(ord1); |
| |
nd_setup_parameters(nvar+1,wmax); |
| |
for ( t = fd0; t; t = NEXT(t) ) |
| |
ndv_homogenize((NDV)BDY(t),obpe,oadv,oepos,ompos); |
| |
} |
| |
if ( MaxDeg > 0 ) nocheck = 1; |
| |
ret = ndv_setup(-2,m,fd0,nd_gbblock?1:0,0); |
| |
if ( ret ) |
| |
cand = nd_f4_lf_trace_main(m,&perm); |
| |
if ( !ret || !cand ) { |
| |
*rp = 0; return; |
| |
} |
| |
if ( !ishomo && homo ) { |
| |
/* dehomogenization */ |
| |
for ( t = cand; t; t = NEXT(t) ) ndv_dehomogenize((NDV)BDY(t),ord); |
| |
nd_init_ord(ord); |
| |
nd_setup_parameters(nvar,0); |
| |
} |
| |
cand = ndv_reducebase(cand,perm); |
| |
cand = ndv_reduceall(-2,cand); |
| |
cbpe = nd_bpe; |
| |
get_eg(&eg0); |
| |
if ( ret = ndv_check_membership(-2,in0,obpe,oadv,oepos,cand) ) { |
| |
/* gbcheck : cand is a GB of Id(cand) ? */ |
| |
ret = nd_f4(-2,0,0); |
| |
} |
| |
if ( !ret ) { |
| |
/* failure */ |
| |
*rp = 0; return; |
| |
} |
| |
get_eg(&eg1); init_eg(&eg_check); add_eg(&eg_check,&eg0,&eg1); |
| |
if ( DP_Print ) |
| |
fprintf(asir_out,"check=%.3fsec\n",eg_check.exectime+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(-2,CO,vv,BDY(r),mrank); |
| |
else BDY(r) = (pointer)ndvtop(-2,CO,vv,BDY(r)); |
| |
} |
| |
MKLIST(*rp,cand); |
| |
} |
| |
|
| |
NODE nd_f4_lf_trace_main(int m,int **indp) |
| |
{ |
| |
int i,nh,stat,index; |
| |
NODE r,rm,g; |
| |
ND_pairs d,l,l0,t; |
| |
ND spol,red; |
| |
NDV nf,redv,nfqv,nfv; |
| |
NM s0,s; |
| |
NODE rp0,srp0,nflist,nflist_lf; |
| |
int nsp,nred,col,rank,len,k,j,a; |
| |
UINT c; |
| |
UINT **spmat; |
| |
UINT *s0vect,*svect,*p,*v; |
| |
int *colstat; |
| |
IndArray *imat; |
| |
int *rhead; |
| |
int spcol,sprow; |
| |
int sugar; |
| |
PGeoBucket bucket; |
| |
struct oEGT eg0,eg1,eg_f4; |
| |
|
| |
g = 0; d = 0; |
| |
for ( i = 0; i < nd_psn; i++ ) { |
| |
d = update_pairs(d,g,i,0); |
| |
g = update_base(g,i); |
| |
} |
| |
while ( d ) { |
| |
get_eg(&eg0); |
| |
l = nd_minsugarp(d,&d); |
| |
sugar = SG(l); |
| |
if ( MaxDeg > 0 && sugar > MaxDeg ) break; |
| |
bucket = create_pbucket(); |
| |
stat = nd_sp_f4(m,0,l,bucket); |
| |
if ( !stat ) { |
| |
for ( t = l; NEXT(t); t = NEXT(t) ); |
| |
NEXT(t) = d; d = l; |
| |
d = nd_reconstruct(1,d); |
| |
continue; |
| |
} |
| |
if ( bucket->m < 0 ) continue; |
| |
col = nd_symbolic_preproc(bucket,0,&s0vect,&rp0); |
| |
if ( !col ) { |
| |
for ( t = l; NEXT(t); t = NEXT(t) ); |
| |
NEXT(t) = d; d = l; |
| |
d = nd_reconstruct(1,d); |
| |
continue; |
| |
} |
| |
get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1); |
| |
if ( DP_Print ) |
| |
fprintf(asir_out,"sugar=%d,symb=%.3fsec,", |
| |
sugar,eg_f4.exectime+eg_f4.gctime); |
| |
nflist = nd_f4_red(m,l,0,s0vect,col,rp0,&l0); |
| |
if ( !l0 ) continue; |
| |
l = l0; |
| |
|
| |
/* over LF */ |
| |
bucket = create_pbucket(); |
| |
stat = nd_sp_f4(-2,1,l,bucket); |
| |
if ( !stat ) { |
| |
for ( t = l; NEXT(t); t = NEXT(t) ); |
| |
NEXT(t) = d; d = l; |
| |
d = nd_reconstruct(1,d); |
| |
continue; |
| |
} |
| |
if ( bucket->m < 0 ) continue; |
| |
col = nd_symbolic_preproc(bucket,1,&s0vect,&rp0); |
| |
if ( !col ) { |
| |
for ( t = l; NEXT(t); t = NEXT(t) ); |
| |
NEXT(t) = d; d = l; |
| |
d = nd_reconstruct(1,d); |
| |
continue; |
| |
} |
| |
nflist_lf = nd_f4_red(-2,l,1,s0vect,col,rp0,0); |
| |
/* adding new bases */ |
| |
for ( rm = nflist, r = nflist_lf; r && rm; rm = NEXT(rm), r = NEXT(r) ) { |
| |
nfv = (NDV)BDY(rm); |
| |
nfqv = (NDV)BDY(r); |
| |
if ( DL_COMPARE(HDL(nfv),HDL(nfqv)) ) return 0; |
| |
ndv_removecont(m,nfv); |
| |
ndv_removecont(-2,nfqv); |
| |
nh = ndv_newps(-2,nfv,nfqv,1); |
| |
d = update_pairs(d,g,nh,0); |
| |
g = update_base(g,nh); |
| |
} |
| |
if ( r || rm ) return 0; |
| |
} |
| |
conv_ilist(nd_demand,1,g,indp); |
| |
return g; |
| |
} |
| |
|
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