=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/nd.c,v retrieving revision 1.37 retrieving revision 1.241 diff -u -p -r1.37 -r1.241 --- OpenXM_contrib2/asir2000/engine/nd.c 2003/08/20 08:38:20 1.37 +++ OpenXM_contrib2/asir2000/engine/nd.c 2017/09/16 08:02:35 1.241 @@ -1,2936 +1,9334 @@ -/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.36 2003/08/20 07:55:45 noro Exp $ */ +/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.240 2017/09/15 01:52:51 noro Exp $ */ -#include "ca.h" -#include "inline.h" +#include "nd.h" -#if defined(__GNUC__) -#define INLINE inline -#elif defined(VISUAL) -#define INLINE __inline +struct oEGT eg_search; + +int diag_period = 6; +int weight_check = 1; +int (*ndl_compare_function)(UINT *a1,UINT *a2); +int nd_dcomp; +int nd_rref2; +NM _nm_free_list; +ND _nd_free_list; +ND_pairs _ndp_free_list; +NODE nd_hcf; + +Obj nd_top_weight; + +static NODE nd_subst; +static VL nd_vc; +static int nd_ntrans; +static int nd_nalg; +#if 0 +static int ndv_alloc; +#endif +#if 1 +static int nd_f4_nsp=0x7fffffff; #else -#define INLINE +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 USE_GEOBUCKET 1 +static NDV *nd_ps; +static NDV *nd_ps_gz; +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 REDTAB_LEN 32003 +NumberField get_numberfield(); +UINT *nd_det_compute_bound(NDV **dm,int n,int j); +void nd_det_reconstruct(NDV **dm,int n,int j,NDV d); +void nd_heu_nezgcdnpz(VL vl,P *pl,int m,int full,P *pr); +int nd_monic(int m,ND *p); +NDV plain_vect_to_ndv_q(Q *mat,int col,UINT *s0vect); +LIST ndvtopl(int mod,VL vl,VL dvl,NDV p,int rank); +NDV pltondv(VL vl,VL dvl,LIST p); +void pltozpl(LIST l,Q *cont,LIST *pp); +void ndl_max(UINT *d1,unsigned *d2,UINT *d); +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); -typedef struct oPGeoBucket { - int m; - struct oND *body[32]; -} *PGeoBucket; +void Pdp_set_weight(NODE,VECT *); +void Pox_cmo_rpc(NODE,Obj *); -typedef struct oND { - struct oNM *body; - int nv; - int len; - int sugar; -} *ND; +ND nd_add_lf(ND p1,ND p2); +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); -typedef struct oNDV { - struct oNMV *body; - int nv; - int len; - int sugar; -} *NDV; +extern int lf_lazy; +extern GZ current_mod_lf; -typedef struct oNM { - struct oNM *next; - union { - int m; - Q z; - } c; - unsigned int dl[1]; -} *NM; +extern int Denominator,DP_Multiple,MaxDeg; -typedef struct oNMV { - union { - int m; - Q z; - } c; - unsigned int dl[1]; -} *NMV; +#define BLEN (8*sizeof(unsigned long)) -typedef struct oRHist { - struct oRHist *next; - int index; - int sugar; - unsigned int dl[1]; -} *RHist; +typedef struct matrix { + int row,col; + unsigned long **a; +} *matrix; -typedef struct oND_pairs { - struct oND_pairs *next; - int i1,i2; - int sugar; - unsigned int lcm[1]; -} *ND_pairs; -int (*nd_compare_function)(unsigned int *a1,unsigned int *a2); +void nd_free_private_storage() +{ + _nm_free_list = 0; + _ndp_free_list = 0; +#if 0 + GC_gcollect(); +#endif +} -double nd_scale=2; -static unsigned int **nd_bound; -int nd_nvar; -int nd_isrlex; -int nd_epw,nd_bpe,nd_wpd; -unsigned int nd_mask[32]; -unsigned int nd_mask0,nd_mask1; +void _NM_alloc() +{ + NM p; + int i; -NM _nm_free_list; -ND _nd_free_list; -ND_pairs _ndp_free_list; + for ( i = 0; i < 1024; i++ ) { + p = (NM)MALLOC(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT)); + p->next = _nm_free_list; _nm_free_list = p; + } +} -static NDV *nd_ps; -static NDV *nd_psq; -RHist *nd_psh; -int nd_psn,nd_pslen; +matrix alloc_matrix(int row,int col) +{ + unsigned long **a; + int i,len,blen; + matrix mat; -RHist *nd_red; -int nd_red_len; + mat = (matrix)MALLOC(sizeof(struct matrix)); + mat->row = row; + mat->col = col; + mat->a = a = (unsigned long **)MALLOC(row*sizeof(unsigned long *)); + return mat; +} -int nd_found,nd_create,nd_notfirst; -int nm_adv; -int nmv_adv; -int nd_dcomp; -extern int Top,Reverse,dp_nelim; +void _ND_alloc() +{ + ND p; + int i; -#define TD(d) (d[0]) -#define HDL(d) ((d)->body->dl) -#define HTD(d) (TD(HDL(d))) -#define HCM(d) ((d)->body->c.m) -#define HCQ(d) ((d)->body->c.z) -#define CM(a) ((a)->c.m) -#define CQ(a) ((a)->c.z) -#define DL(a) ((a)->dl) -#define SG(a) ((a)->sugar) -#define LEN(a) ((a)->len) -#define LCM(a) ((a)->lcm) + for ( i = 0; i < 1024; i++ ) { + p = (ND)MALLOC(sizeof(struct oND)); + p->body = (NM)_nd_free_list; _nd_free_list = p; + } +} -#define TD_DL_COMPARE(d1,d2)\ -(TD(d1)>TD(d2)?1:(TD(d1)next = _ndp_free_list; _ndp_free_list = p; + } +} -#define NM_ADV(m) (m = (NM)(((char *)m)+nm_adv)) -#define NEWRHist(r) \ -((r)=(RHist)MALLOC(sizeof(struct oRHist)+nd_wpd*sizeof(unsigned int))) -#define NEWND_pairs(m) \ -if(!_ndp_free_list)_NDP_alloc();\ -(m)=_ndp_free_list; _ndp_free_list = NEXT(_ndp_free_list) -#define NEWNM(m)\ -if(!_nm_free_list)_NM_alloc();\ -(m)=_nm_free_list; _nm_free_list = NEXT(_nm_free_list) -#define MKND(n,m,len,d)\ -if(!_nd_free_list)_ND_alloc();\ -(d)=_nd_free_list; _nd_free_list = (ND)BDY(_nd_free_list);\ -NV(d)=(n); LEN(d)=(len); BDY(d)=(m) +INLINE int nd_length(ND p) +{ + NM m; + int i; -#define NEXTRHist(r,c) \ -if(!(r)){NEWRHist(r);(c)=(r);}else{NEWRHist(NEXT(c));(c)=NEXT(c);} -#define NEXTNM(r,c) \ -if(!(r)){NEWNM(r);(c)=(r);}else{NEWNM(NEXT(c));(c)=NEXT(c);} -#define NEXTNM2(r,c,s) \ -if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);} + if ( !p ) + return 0; + else { + for ( i = 0, m = BDY(p); m; m = NEXT(m), i++ ); + return i; + } +} -#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) +extern int dp_negative_weight; -#define NEXTND_pairs(r,c) \ -if(!(r)){NEWND_pairs(r);(c)=(r);}else{NEWND_pairs(NEXT(c));(c)=NEXT(c);} +INLINE int ndl_reducible(UINT *d1,UINT *d2) +{ + UINT u1,u2; + int i,j; -void nd_init_ord(struct order_spec *spec); -int nd_check_candidate(NODE input,NODE cand); -void nd_removecont(int mod,ND p); -void nd_removecont2(ND p1,ND p2); -void ndv_removecont(int mod,NDV p); -void ndv_dehomogenize(NDV p); -void ndv_mul_c_q(NDV p,Q mul); -void nd_mul_c_q(ND p,Q mul); -ND normalize_pbucket(int mod,PGeoBucket g); -int head_pbucket(int mod,PGeoBucket g); -int head_pbucket_q(PGeoBucket g); -void add_pbucket(int mod,PGeoBucket g,ND d); -void free_pbucket(PGeoBucket b); -void mulq_pbucket(PGeoBucket g,Q c); -PGeoBucket create_pbucket(); -ND nd_remove_head(ND p); + if ( nd_module && (MPOS(d1) != MPOS(d2)) ) return 0; -void GC_gcollect(); -NODE append_one(NODE,int); -NODE nd_reducebase(NODE x); + if ( !dp_negative_weight && TD(d1) < TD(d2) ) return 0; +#if USE_UNROLL + switch ( nd_bpe ) { + case 3: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + if ( (u1&0x38000000) < (u2&0x38000000) ) return 0; + if ( (u1& 0x7000000) < (u2& 0x7000000) ) return 0; + if ( (u1& 0xe00000) < (u2& 0xe00000) ) return 0; + if ( (u1& 0x1c0000) < (u2& 0x1c0000) ) return 0; + if ( (u1& 0x38000) < (u2& 0x38000) ) return 0; + if ( (u1& 0x7000) < (u2& 0x7000) ) return 0; + if ( (u1& 0xe00) < (u2& 0xe00) ) return 0; + if ( (u1& 0x1c0) < (u2& 0x1c0) ) return 0; + if ( (u1& 0x38) < (u2& 0x38) ) return 0; + if ( (u1& 0x7) < (u2& 0x7) ) return 0; + } + return 1; + break; + case 4: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + if ( (u1&0xf0000000) < (u2&0xf0000000) ) return 0; + if ( (u1& 0xf000000) < (u2& 0xf000000) ) return 0; + if ( (u1& 0xf00000) < (u2& 0xf00000) ) return 0; + if ( (u1& 0xf0000) < (u2& 0xf0000) ) return 0; + if ( (u1& 0xf000) < (u2& 0xf000) ) return 0; + if ( (u1& 0xf00) < (u2& 0xf00) ) return 0; + if ( (u1& 0xf0) < (u2& 0xf0) ) return 0; + if ( (u1& 0xf) < (u2& 0xf) ) return 0; + } + return 1; + break; + case 6: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + if ( (u1&0x3f000000) < (u2&0x3f000000) ) return 0; + if ( (u1& 0xfc0000) < (u2& 0xfc0000) ) return 0; + if ( (u1& 0x3f000) < (u2& 0x3f000) ) return 0; + if ( (u1& 0xfc0) < (u2& 0xfc0) ) return 0; + if ( (u1& 0x3f) < (u2& 0x3f) ) return 0; + } + return 1; + break; + case 8: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + if ( (u1&0xff000000) < (u2&0xff000000) ) return 0; + if ( (u1& 0xff0000) < (u2& 0xff0000) ) return 0; + if ( (u1& 0xff00) < (u2& 0xff00) ) return 0; + if ( (u1& 0xff) < (u2& 0xff) ) return 0; + } + return 1; + break; + case 16: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + if ( (u1&0xffff0000) < (u2&0xffff0000) ) return 0; + if ( (u1& 0xffff) < (u2& 0xffff) ) return 0; + } + return 1; + break; + case 32: + for ( i = nd_exporigin; i < nd_wpd; i++ ) + if ( d1[i] < d2[i] ) return 0; + return 1; + break; + default: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + for ( j = 0; j < nd_epw; j++ ) + if ( (u1&nd_mask[j]) < (u2&nd_mask[j]) ) return 0; + } + return 1; + } +#else + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + for ( j = 0; j < nd_epw; j++ ) + if ( (u1&nd_mask[j]) < (u2&nd_mask[j]) ) return 0; + } + return 1; +#endif +} -void removecont_array(Q *c,int n); -ND_pairs crit_B( ND_pairs d, int s ); -void nd_gr(LIST f,LIST v,int m,struct order_spec *ord,LIST *rp); -void nd_gr_trace(LIST f,LIST v,int m,int homo,struct order_spec *ord,LIST *rp); -void nd_setup(int mod,NODE f); -void nd_setup_trace(int mod,NODE f); -int nd_newps(int mod,ND a); -int nd_newps_trace(int mod,ND nf,ND nfq); -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(int m,int checkonly); -NODE nd_gb_trace(int m); -void nd_free_private_storage(); -void _NM_alloc(); -void _ND_alloc(); -int ndl_td(unsigned int *d); -void ndl_dehomogenize(unsigned int *p); -ND nd_add(int mod,ND p1,ND p2); -ND nd_add_q(ND p1,ND p2); -int nd_sp(int mod,ND_pairs p,ND *nf); -int nd_find_reducer(ND g); -int nd_find_reducer_direct(ND g,NDV *ps,int len); -int nd_nf(int mod,ND g,int full,ND *nf); -int nd_nf_pbucket(int mod,ND g,int full,ND *nf); -int nd_nf_direct(int mod,ND g,NDV *ps,int len,int full,ND *rp); -int nd_nf_direct_pbucket(int mod,ND g,NDV *ps,int len,int full,ND *rp); -ND nd_reduce(ND p1,ND p2); -ND nd_reduce_special(ND p1,ND p2); -NODE nd_reduceall(int m,NODE f); -int nd_gbcheck(int m,NODE f); -int nd_membercheck(int m,NODE f); -void nd_free(ND p); -void ndv_free(NDV p); -void ndl_print(unsigned int *dl); -void nd_print(ND p); -void nd_print_q(ND p); -void ndv_print(NDV p); -void ndv_print_q(NDV p); -void ndp_print(ND_pairs d); -int nd_length(ND p); -void nd_mul_c(int mod,ND p,int mul); -void nd_free_redlist(); -void nd_append_red(unsigned int *d,int i); -unsigned int *nd_compute_bound(ND p); -unsigned int *dp_compute_bound(DP p); -ND_pairs nd_reconstruct(int mod,int trace,ND_pairs ndp); -void nd_reconstruct_direct(int mod,NDV *ps,int len); -void nd_setup_parameters(); -void nd_realloc(ND p,int obpe); -ND nd_copy(ND p); -void ndl_dup(int obpe,unsigned int *d,unsigned int *r); +/* + * 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. + */ -#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); NV(d)=(n); BDY(d)=(m); LEN(d) = l; -void ndv_mul_c(int mod,NDV p,int mul); -NDV ndtondv(int mod,ND p); -ND ndvtond(int mod,NDV p); -ND ndv_mul_nm(int mod,NDV p,NM m0); -void ndv_realloc(NDV p,int obpe,int oadv); -NDV dptondv(int,DP); -DP ndvtodp(int,NDV); -ND dptond(int,DP); -DP ndtodp(int,ND); +void ndl_homogenize(UINT *d,UINT *r,int obpe,EPOS oepos,int ompos,int weight) +{ + int w,i,e,n,omask0; -void nd_free_private_storage() + omask0 = obpe==32?0xffffffff:((1<>((nd_epw-1)*nd_bpe))&nd_mask0; + for ( i = nd_exporigin; i < nd_wpd; i++ ) + d[i] = ((d[i]<>((nd_epw-1)*nd_bpe))&nd_mask0):0); + TD(d) -= h; + } + } else { + h = GET_EXP(d,nd_nvar-1); + XOR_EXP(d,nd_nvar-1,h); + TD(d) -= h; + } + } } -void _NM_alloc() +void ndl_lcm(UINT *d1,unsigned *d2,UINT *d) { - NM p; - int i; + UINT t1,t2,u,u1,u2; + int i,j,l; - for ( i = 0; i < 1024; i++ ) { - p = (NM)GC_malloc(sizeof(struct oNM)+nd_wpd*sizeof(unsigned int)); - p->next = _nm_free_list; _nm_free_list = p; - } + if ( nd_module && (MPOS(d1) != MPOS(d2)) ) + error("ndl_lcm : inconsistent monomials"); +#if USE_UNROLL + switch ( nd_bpe ) { + case 3: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + t1 = (u1&0x38000000); t2 = (u2&0x38000000); u = t1>t2?t1:t2; + t1 = (u1& 0x7000000); t2 = (u2& 0x7000000); u |= t1>t2?t1:t2; + t1 = (u1& 0xe00000); t2 = (u2& 0xe00000); u |= t1>t2?t1:t2; + t1 = (u1& 0x1c0000); t2 = (u2& 0x1c0000); u |= t1>t2?t1:t2; + t1 = (u1& 0x38000); t2 = (u2& 0x38000); u |= t1>t2?t1:t2; + t1 = (u1& 0x7000); t2 = (u2& 0x7000); u |= t1>t2?t1:t2; + t1 = (u1& 0xe00); t2 = (u2& 0xe00); u |= t1>t2?t1:t2; + t1 = (u1& 0x1c0); t2 = (u2& 0x1c0); u |= t1>t2?t1:t2; + t1 = (u1& 0x38); t2 = (u2& 0x38); u |= t1>t2?t1:t2; + t1 = (u1& 0x7); t2 = (u2& 0x7); u |= t1>t2?t1:t2; + d[i] = u; + } + break; + case 4: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + t1 = (u1&0xf0000000); t2 = (u2&0xf0000000); u = t1>t2?t1:t2; + t1 = (u1& 0xf000000); t2 = (u2& 0xf000000); u |= t1>t2?t1:t2; + t1 = (u1& 0xf00000); t2 = (u2& 0xf00000); u |= t1>t2?t1:t2; + t1 = (u1& 0xf0000); t2 = (u2& 0xf0000); u |= t1>t2?t1:t2; + t1 = (u1& 0xf000); t2 = (u2& 0xf000); u |= t1>t2?t1:t2; + t1 = (u1& 0xf00); t2 = (u2& 0xf00); u |= t1>t2?t1:t2; + t1 = (u1& 0xf0); t2 = (u2& 0xf0); u |= t1>t2?t1:t2; + t1 = (u1& 0xf); t2 = (u2& 0xf); u |= t1>t2?t1:t2; + d[i] = u; + } + break; + case 6: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + t1 = (u1&0x3f000000); t2 = (u2&0x3f000000); u = t1>t2?t1:t2; + t1 = (u1& 0xfc0000); t2 = (u2& 0xfc0000); u |= t1>t2?t1:t2; + t1 = (u1& 0x3f000); t2 = (u2& 0x3f000); u |= t1>t2?t1:t2; + t1 = (u1& 0xfc0); t2 = (u2& 0xfc0); u |= t1>t2?t1:t2; + t1 = (u1& 0x3f); t2 = (u2& 0x3f); u |= t1>t2?t1:t2; + d[i] = u; + } + break; + case 8: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + t1 = (u1&0xff000000); t2 = (u2&0xff000000); u = t1>t2?t1:t2; + t1 = (u1& 0xff0000); t2 = (u2& 0xff0000); u |= t1>t2?t1:t2; + t1 = (u1& 0xff00); t2 = (u2& 0xff00); u |= t1>t2?t1:t2; + t1 = (u1& 0xff); t2 = (u2& 0xff); u |= t1>t2?t1:t2; + d[i] = u; + } + break; + case 16: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + t1 = (u1&0xffff0000); t2 = (u2&0xffff0000); u = t1>t2?t1:t2; + t1 = (u1& 0xffff); t2 = (u2& 0xffff); u |= t1>t2?t1:t2; + d[i] = u; + } + break; + case 32: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + d[i] = u1>u2?u1:u2; + } + break; + default: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + for ( j = 0, u = 0; j < nd_epw; j++ ) { + t1 = (u1&nd_mask[j]); t2 = (u2&nd_mask[j]); u |= t1>t2?t1:t2; + } + d[i] = u; + } + break; + } +#else + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + for ( j = 0, u = 0; j < nd_epw; j++ ) { + t1 = (u1&nd_mask[j]); t2 = (u2&nd_mask[j]); u |= t1>t2?t1:t2; + } + d[i] = u; + } +#endif + if ( nd_module ) MPOS(d) = MPOS(d1); + TD(d) = ndl_weight(d); + if ( nd_blockmask ) ndl_weight_mask(d); } -void _ND_alloc() +void ndl_max(UINT *d1,unsigned *d2,UINT *d) { - ND p; - int i; + UINT t1,t2,u,u1,u2; + int i,j,l; - for ( i = 0; i < 1024; i++ ) { - p = (ND)GC_malloc(sizeof(struct oND)); - p->body = (NM)_nd_free_list; _nd_free_list = p; - } + 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; + } } -void _NDP_alloc() +int ndl_weight(UINT *d) { - ND_pairs p; - int i; + UINT t,u; + int i,j; - for ( i = 0; i < 1024; i++ ) { - p = (ND_pairs)GC_malloc(sizeof(struct oND_pairs) - +nd_wpd*sizeof(unsigned int)); - p->next = _ndp_free_list; _ndp_free_list = p; - } + if ( current_dl_weight_vector ) + for ( i = 0, t = 0; i < nd_nvar; i++ ) { + u = GET_EXP(d,i); + t += MUL_WEIGHT(u,i); + } + else + for ( t = 0, i = nd_exporigin; i < nd_wpd; i++ ) { + u = d[i]; + for ( j = 0; j < nd_epw; j++, u>>=nd_bpe ) + t += (u&nd_mask0); + } + if ( nd_module && current_module_weight_vector && MPOS(d) ) + t += current_module_weight_vector[MPOS(d)]; + return t; } -INLINE int nd_length(ND p) +/* for sugarweight */ + +int ndl_weight2(UINT *d) { - NM m; - int i; + int t,u; + int i,j; - if ( !p ) - return 0; - else { - for ( i = 0, m = BDY(p); m; m = NEXT(m), i++ ); - return i; - } + for ( i = 0, t = 0; i < nd_nvar; 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; } -INLINE int ndl_reducible(unsigned int *d1,unsigned int *d2) +void ndl_weight_mask(UINT *d) { - unsigned int u1,u2; - int i,j; + UINT t,u; + UINT *mask; + int i,j,k,l; - if ( TD(d1) < TD(d2) ) return 0; - switch ( nd_bpe ) { - case 4: - for ( i = 1; i <= nd_wpd; i++ ) { - u1 = d1[i]; u2 = d2[i]; - if ( (u1&0xf0000000) < (u2&0xf0000000) ) return 0; - if ( (u1&0xf000000) < (u2&0xf000000) ) return 0; - if ( (u1&0xf00000) < (u2&0xf00000) ) return 0; - if ( (u1&0xf0000) < (u2&0xf0000) ) return 0; - if ( (u1&0xf000) < (u2&0xf000) ) return 0; - if ( (u1&0xf00) < (u2&0xf00) ) return 0; - if ( (u1&0xf0) < (u2&0xf0) ) return 0; - if ( (u1&0xf) < (u2&0xf) ) return 0; - } - return 1; - break; - case 6: - for ( i = 1; i <= nd_wpd; i++ ) { - u1 = d1[i]; u2 = d2[i]; - if ( (u1&0x3f000000) < (u2&0x3f000000) ) return 0; - if ( (u1&0xfc0000) < (u2&0xfc0000) ) return 0; - if ( (u1&0x3f000) < (u2&0x3f000) ) return 0; - if ( (u1&0xfc0) < (u2&0xfc0) ) return 0; - if ( (u1&0x3f) < (u2&0x3f) ) return 0; - } - return 1; - break; - case 8: - for ( i = 1; i <= nd_wpd; i++ ) { - u1 = d1[i]; u2 = d2[i]; - if ( (u1&0xff000000) < (u2&0xff000000) ) return 0; - if ( (u1&0xff0000) < (u2&0xff0000) ) return 0; - if ( (u1&0xff00) < (u2&0xff00) ) return 0; - if ( (u1&0xff) < (u2&0xff) ) return 0; - } - return 1; - break; - case 16: - for ( i = 1; 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 = 1; i <= nd_wpd; i++ ) - if ( d1[i] < d2[i] ) return 0; - return 1; - break; - default: - for ( i = 1; 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; - } + l = nd_blockmask->n; + for ( k = 0; k < l; k++ ) { + mask = nd_blockmask->mask[k]; + if ( current_dl_weight_vector ) + for ( i = 0, t = 0; i < nd_nvar; i++ ) { + u = GET_EXP_MASK(d,i,mask); + t += MUL_WEIGHT(u,i); + } + else + for ( t = 0, i = nd_exporigin; i < nd_wpd; i++ ) { + u = d[i]&mask[i]; + for ( j = 0; j < nd_epw; j++, u>>=nd_bpe ) + t += (u&nd_mask0); + } + d[k+1] = t; + } } -void ndl_dehomogenize(unsigned int *d) +int ndl_lex_compare(UINT *d1,UINT *d2) { - unsigned int mask; - unsigned int h; - int i,bits; + int i; - if ( nd_isrlex ) { - if ( nd_bpe == 32 ) { - h = d[1]; - for ( i = 2; 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[1]>>((nd_epw-1)*nd_bpe))&nd_mask0; - for ( i = 1; i <= nd_wpd; i++ ) - d[i] = ((d[i]<>((nd_epw-1)*nd_bpe))&nd_mask0):0); - TD(d) -= h; - } - } else - TD(d) -= ((d[(nd_nvar-1)/nd_epw+1]>> - ((nd_epw-((nd_nvar-1)%nd_epw)-1)*nd_bpe))&((1< *d2 ) + return nd_isrlex ? -1 : 1; + else if ( *d1 < *d2 ) + return nd_isrlex ? 1 : -1; + return 0; } -void ndl_lcm(unsigned int *d1,unsigned *d2,unsigned int *d) +int ndl_block_compare(UINT *d1,UINT *d2) { - unsigned int t1,t2,u,u1,u2; - int i,j; + int i,l,j,ord_o,ord_l; + struct order_pair *op; + UINT t1,t2,m; + UINT *mask; - switch ( nd_bpe ) { - case 4: - for ( i = 1; 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 = 1; 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 = 1; 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 = 1; 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 = 1; i <= nd_wpd; i++ ) { - u1 = d1[i]; u2 = d2[i]; - d[i] = u1>u2?u1:u2; - } - break; - default: - for ( i = 1; i <= nd_wpd; i++ ) { - 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; - } - TD(d) = ndl_td(d); + 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_td(unsigned int *d) +int ndl_matrix_compare(UINT *d1,UINT *d2) { - unsigned int t,u; - int i,j; + int i,j,s,row; + int *v; + Q **mat; + Q *w; + Q t,t1,t2; - for ( t = 0, i = 1; i <= nd_wpd; i++ ) { - u = d[i]; - for ( j = 0; j < nd_epw; j++, u>>=nd_bpe ) - t += (u&nd_mask0); + for ( j = 0; j < nd_nvar; j++ ) + nd_work_vector[j] = GET_EXP(d1,j)-GET_EXP(d2,j); + if ( nd_top_weight ) { + if ( OID(nd_top_weight) == O_VECT ) { + mat = (Q **)&BDY((VECT)nd_top_weight); + row = 1; + } else { + mat = (Q **)BDY((MAT)nd_top_weight); + 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; + } + } } - return t; + 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; } -INLINE int ndl_lex_compare(unsigned int *d1,unsigned int *d2) +int ndl_composite_compare(UINT *d1,UINT *d2) { - int i; + int i,j,s,start,end,len,o; + int *v; + struct sparse_weight *sw; - for ( i = 0; i < nd_wpd; i++, d1++, d2++ ) - if ( *d1 > *d2 ) - return nd_isrlex ? -1 : 1; - else if ( *d1 < *d2 ) - return nd_isrlex ? 1 : -1; - return 0; + for ( j = 0; j < nd_nvar; j++ ) + nd_work_vector[j] = GET_EXP(d1,j)-GET_EXP(d2,j); + for ( i = 0; i < nd_worb_len; i++ ) { + len = nd_worb[i].length; + switch ( nd_worb[i].type ) { + case IS_DENSE_WEIGHT: + v = nd_worb[i].body.dense_weight; + for ( j = 0, s = 0; j < len; j++ ) + s += v[j]*nd_work_vector[j]; + if ( s > 0 ) return 1; + else if ( s < 0 ) return -1; + break; + case IS_SPARSE_WEIGHT: + sw = nd_worb[i].body.sparse_weight; + for ( j = 0, s = 0; j < len; j++ ) + s += sw[j].value*nd_work_vector[sw[j].pos]; + if ( s > 0 ) return 1; + else if ( s < 0 ) return -1; + break; + case IS_BLOCK: + o = nd_worb[i].body.block.order; + start = nd_worb[i].body.block.start; + switch ( o ) { + case 0: + end = start+len; + for ( j = start, s = 0; j < end; j++ ) + s += MUL_WEIGHT(nd_work_vector[j],j); + if ( s > 0 ) return 1; + else if ( s < 0 ) return -1; + for ( j = end-1; j >= start; j-- ) + if ( nd_work_vector[j] < 0 ) return 1; + else if ( nd_work_vector[j] > 0 ) return -1; + break; + case 1: + end = start+len; + for ( j = start, s = 0; j < end; j++ ) + s += MUL_WEIGHT(nd_work_vector[j],j); + if ( s > 0 ) return 1; + else if ( s < 0 ) return -1; + for ( j = start; j < end; j++ ) + if ( nd_work_vector[j] > 0 ) return 1; + else if ( nd_work_vector[j] < 0 ) return -1; + break; + case 2: + end = start+len; + for ( j = start; j < end; j++ ) + if ( nd_work_vector[j] > 0 ) return 1; + else if ( nd_work_vector[j] < 0 ) return -1; + break; + } + break; + } + } + return 0; } -INLINE int ndl_equal(unsigned int *d1,unsigned int *d2) +/* TDH -> WW -> TD-> RL */ + +int ndl_ww_lex_compare(UINT *d1,UINT *d2) { - int i; + int i,m,e1,e2; - if ( *d1++ != *d2++ ) return 0; - for ( i = 1; i <= nd_wpd; i++ ) - if ( *d1++ != *d2++ ) - return 0; - return 1; + if ( TD(d1) > TD(d2) ) return 1; + else if ( TD(d1) < TD(d2) ) return -1; + m = nd_nvar>>1; + for ( i = 0, e1 = e2 = 0; i < m; i++ ) { + e1 += current_weyl_weight_vector[i]*(GET_EXP(d1,m+i)-GET_EXP(d1,i)); + e2 += current_weyl_weight_vector[i]*(GET_EXP(d2,m+i)-GET_EXP(d2,i)); + } + if ( e1 > e2 ) return 1; + else if ( e1 < e2 ) return -1; + return ndl_lex_compare(d1,d2); } -INLINE void ndl_copy(unsigned int *d1,unsigned int *d2) +int ndl_module_weight_compare(UINT *d1,UINT *d2) { - int i; + int s,j; - switch ( nd_wpd ) { - case 1: - TD(d2) = TD(d1); - d2[1] = d1[1]; - break; - case 2: - TD(d2) = TD(d1); - d2[1] = d1[1]; - d2[2] = d1[2]; - break; - default: - for ( i = 0; i <= nd_wpd; i++ ) - d2[i] = d1[i]; - break; - } + if ( nd_nvar != nd_poly_weight_len ) + error("invalid module weight : the length of polynomial weight != the number of variables"); + s = 0; + 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; } -INLINE void ndl_add(unsigned int *d1,unsigned int *d2,unsigned int *d) +int ndl_module_grlex_compare(UINT *d1,UINT *d2) { - int i; + int i,c; - TD(d) = TD(d1)+TD(d2); - switch ( nd_wpd ) { - case 1: - d[1] = d1[1]+d2[1]; - break; - case 2: - d[1] = d1[1]+d2[1]; - d[2] = d1[2]+d2[2]; - break; - default: - for ( i = 1; i <= nd_wpd; i++ ) - d[i] = d1[i]+d2[i]; - break; - } + if ( nd_module_rank && (c = ndl_module_weight_compare(d1,d2)) ) return c; + if ( nd_ispot ) { + if ( nd_pot_nelim && MPOS(d1)>=nd_pot_nelim+1 && MPOS(d2) >= nd_pot_nelim+1 ) { + if ( TD(d1) > TD(d2) ) return 1; + else if ( TD(d1) < TD(d2) ) return -1; + if ( c = ndl_lex_compare(d1,d2) ) return c; + if ( MPOS(d1) < MPOS(d2) ) return 1; + 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; } -INLINE void ndl_sub(unsigned int *d1,unsigned int *d2,unsigned int *d) +int ndl_module_glex_compare(UINT *d1,UINT *d2) { - int i; + int i,c; - for ( i = 0; i <= nd_wpd; i++ ) - d[i] = d1[i]-d2[i]; + 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 ( TD(d1) > TD(d2) ) return 1; + else if ( TD(d1) < TD(d2) ) return -1; + if ( c = ndl_lex_compare(d1,d2) ) return c; + if ( !nd_ispot ) { + if ( MPOS(d1) < MPOS(d2) ) return 1; + else if ( MPOS(d1) > MPOS(d2) ) return -1; + } + return 0; } -int ndl_disjoint(unsigned int *d1,unsigned int *d2) +int ndl_module_lex_compare(UINT *d1,UINT *d2) { - unsigned int t1,t2,u,u1,u2; - int i,j; + int i,c; - switch ( nd_bpe ) { - case 4: - for ( i = 1; 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 = 1; 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 = 1; 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 = 1; 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 = 1; i <= nd_wpd; i++ ) - if ( d1[i] && d2[i] ) return 0; - return 1; - break; - default: - for ( i = 1; 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; - } + 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_lex_compare(d1,d2) ) return c; + if ( !nd_ispot ) { + if ( MPOS(d1) < MPOS(d2) ) return 1; + else if ( MPOS(d1) > MPOS(d2) ) return -1; + } + return 0; } -int ndl_check_bound2(int index,unsigned int *d2) +int ndl_module_block_compare(UINT *d1,UINT *d2) { - unsigned int u2; - unsigned int *d1; - int i,j,ind,k; + int i,c; - d1 = nd_bound[index]; - ind = 0; - switch ( nd_bpe ) { - case 4: - for ( i = 1; 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 = 1; 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 = 1; 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 = 1; 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 = 1; i <= nd_wpd; i++ ) - if ( d1[i]+d2[i]>k)&nd_mask0) > nd_mask0 ) return 1; - } - return 0; - break; - } + 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; } -int ndl_check_bound2_direct(unsigned int *d1,unsigned int *d2) +int ndl_module_matrix_compare(UINT *d1,UINT *d2) { - unsigned int u1,u2; - int i,j,k; + int i,c; - switch ( nd_bpe ) { - case 4: - for ( i = 1; i <= nd_wpd; i++ ) { - u1 = d1[i]; u2 = d2[i]; - if ( ((u1>>28)&0xf)+((u2>>28)&0xf) >= 0x10 ) return 1; - if ( ((u1>>24)&0xf)+((u2>>24)&0xf) >= 0x10 ) return 1; - if ( ((u1>>20)&0xf)+((u2>>20)&0xf) >= 0x10 ) return 1; - if ( ((u1>>16)&0xf)+((u2>>16)&0xf) >= 0x10 ) return 1; - if ( ((u1>>12)&0xf)+((u2>>12)&0xf) >= 0x10 ) return 1; - if ( ((u1>>8)&0xf)+((u2>>8)&0xf) >= 0x10 ) return 1; - if ( ((u1>>4)&0xf)+((u2>>4)&0xf) >= 0x10 ) return 1; - if ( (u1&0xf)+(u2&0xf) >= 0x10 ) return 1; - } - return 0; - break; - case 6: - for ( i = 1; i <= nd_wpd; i++ ) { - u1 = d1[i]; u2 = d2[i]; - if ( ((u1>>24)&0x3f)+((u2>>24)&0x3f) >= 0x40 ) return 1; - if ( ((u1>>18)&0x3f)+((u2>>18)&0x3f) >= 0x40 ) return 1; - if ( ((u1>>12)&0x3f)+((u2>>12)&0x3f) >= 0x40 ) return 1; - if ( ((u1>>6)&0x3f)+((u2>>6)&0x3f) >= 0x40 ) return 1; - if ( (u1&0x3f)+(u2&0x3f) >= 0x40 ) return 1; - } - return 0; - break; - case 8: - for ( i = 1; i <= nd_wpd; i++ ) { - u1 = d1[i]; u2 = d2[i]; - if ( ((u1>>24)&0xff)+((u2>>24)&0xff) >= 0x100 ) return 1; - if ( ((u1>>16)&0xff)+((u2>>16)&0xff) >= 0x100 ) return 1; - if ( ((u1>>8)&0xff)+((u2>>8)&0xff) >= 0x100 ) return 1; - if ( (u1&0xff)+(u2&0xff) >= 0x100 ) return 1; - } - return 0; - break; - case 16: - for ( i = 1; i <= nd_wpd; i++ ) { - u1 = d1[i]; u2 = d2[i]; - if ( ((u1>>16)&0xffff)+((u2>>16)&0xffff) > 0x10000 ) return 1; - if ( (u2&0xffff)+(u2&0xffff) > 0x10000 ) return 1; - } - return 0; - break; - case 32: - for ( i = 1; i <= nd_wpd; i++ ) - if ( d1[i]+d2[i]>k)&nd_mask0)+((u2>>k)&nd_mask0) > nd_mask0 ) - return 1; - } - return 0; - break; - } + 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_matrix_compare(d1,d2) ) return c; + if ( !nd_ispot ) { + if ( MPOS(d1) < MPOS(d2) ) return 1; + else if ( MPOS(d1) > MPOS(d2) ) return -1; + } + return 0; } -INLINE int ndl_hash_value(unsigned int *d) +int ndl_module_composite_compare(UINT *d1,UINT *d2) { - int i; - int r; + int i,c; - r = 0; - for ( i = 0; i <= nd_wpd; i++ ) - r = ((r<<16)+d[i])%REDTAB_LEN; - return r; + 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_composite_compare(d1,d2) ) return c; + if ( !nd_ispot ) { + if ( MPOS(d1) > MPOS(d2) ) return 1; + else if ( MPOS(d1) < MPOS(d2) ) return -1; + } + return 0; } -INLINE int nd_find_reducer(ND g) +INLINE int ndl_equal(UINT *d1,UINT *d2) { - RHist r; - unsigned int *dg; - int d,k,i; + int i; - dg = HDL(g); - d = ndl_hash_value(HDL(g)); - 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; + switch ( nd_wpd ) { + case 2: + if ( TD(d2) != TD(d1) ) return 0; + if ( d2[1] != d1[1] ) return 0; + return 1; + break; + case 3: + if ( TD(d2) != TD(d1) ) return 0; + if ( d2[1] != d1[1] ) return 0; + if ( d2[2] != d1[2] ) return 0; + return 1; + break; + default: + for ( i = 0; i < nd_wpd; i++ ) + if ( *d1++ != *d2++ ) return 0; + return 1; + break; + } } -INLINE int nd_find_reducer_direct(ND g,NDV *ps,int len) +INLINE void ndl_copy(UINT *d1,UINT *d2) { - NDV r; - RHist s; - int d,k,i; + int i; - if ( Reverse ) - for ( i = len-1; i >= 0; i-- ) { - r = ps[i]; - if ( ndl_reducible(HDL(g),HDL(r)) ) { - nd_append_red(HDL(g),i); - return i; - } - } - else - for ( i = 0; i < len; i++ ) { - r = ps[i]; - if ( ndl_reducible(HDL(g),HDL(r)) ) { - nd_append_red(HDL(g),i); - return i; - } - } - return -1; + switch ( nd_wpd ) { + case 2: + TD(d2) = TD(d1); + d2[1] = d1[1]; + break; + case 3: + TD(d2) = TD(d1); + d2[1] = d1[1]; + d2[2] = d1[2]; + break; + default: + for ( i = 0; i < nd_wpd; i++ ) + d2[i] = d1[i]; + break; + } } -ND nd_add(int mod,ND p1,ND p2) +INLINE void ndl_zero(UINT *d) { - 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 ) 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; - } + int i; + for ( i = 0; i < nd_wpd; i++ ) d[i] = 0; } -ND nd_add_q(ND p1,ND p2) +INLINE void ndl_add(UINT *d1,UINT *d2,UINT *d) { - int n,c,can; - ND r; - NM m1,m2,mr0,mr,s; - Q t; + int i; - 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: - addq(CQ(m1),CQ(m2),&t); - s = m1; m1 = NEXT(m1); - if ( t ) { - can++; NEXTNM2(mr0,mr,s); CQ(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; - } + if ( nd_module ) { + if ( MPOS(d1) && MPOS(d2) && (MPOS(d1) != MPOS(d2)) ) + error("ndl_add : invalid operation"); + } +#if 1 + switch ( nd_wpd ) { + case 2: + TD(d) = TD(d1)+TD(d2); + d[1] = d1[1]+d2[1]; + break; + case 3: + TD(d) = TD(d1)+TD(d2); + d[1] = d1[1]+d2[1]; + d[2] = d1[2]+d2[2]; + break; + default: + for ( i = 0; i < nd_wpd; i++ ) d[i] = d1[i]+d2[i]; + break; + } +#else + for ( i = 0; i < nd_wpd; i++ ) d[i] = d1[i]+d2[i]; +#endif } -/* ret=1 : success, ret=0 : overflow */ -int nd_nf(int mod,ND g,int full,ND *rp) +/* d1 += d2 */ +INLINE void ndl_addto(UINT *d1,UINT *d2) { - ND d; - 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; - double hmag; + int i; - if ( !g ) { - *rp = 0; - return 1; - } - if ( !mod ) hmag = ((double)p_mag((P)HCQ(g)))*nd_scale; + if ( nd_module ) { + if ( MPOS(d1) && MPOS(d2) && (MPOS(d1) != MPOS(d2)) ) + error("ndl_addto : invalid operation"); + } +#if 1 + switch ( nd_wpd ) { + case 2: + TD(d1) += TD(d2); + d1[1] += d2[1]; + break; + case 3: + TD(d1) += TD(d2); + d1[1] += d2[1]; + d1[2] += d2[2]; + break; + default: + for ( i = 0; i < nd_wpd; i++ ) d1[i] += d2[i]; + break; + } +#else + for ( i = 0; i < nd_wpd; i++ ) d1[i] += d2[i]; +#endif +} - sugar0 = sugar = SG(g); - n = NV(g); - mul = (NM)ALLOCA(sizeof(struct oNM)+nd_wpd*sizeof(unsigned int)); - for ( d = 0; g; ) { - index = nd_find_reducer(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; - } - if ( mod ) { - p = nd_ps[index]; - c1 = invm(HCM(p),mod); c2 = mod-HCM(g); - DMAR(c1,c2,0,mod,c); CM(mul) = c; - } else { - p = nd_psq[index]; - igcd_cofactor(HCQ(g),HCQ(p),&gcd,&cg,&cred); - chsgnq(cg,&CQ(mul)); - nd_mul_c_q(d,cred); nd_mul_c_q(g,cred); - } - g = nd_add(mod,g,ndv_mul_nm(mod,p,mul)); - sugar = MAX(sugar,SG(p)+TD(DL(mul))); - if ( !mod && hmag && g && ((double)(p_mag((P)HCQ(g))) > hmag) ) { - nd_removecont2(d,g); - hmag = ((double)p_mag((P)HCQ(g)))*nd_scale; - } - } 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; +INLINE void ndl_sub(UINT *d1,UINT *d2,UINT *d) +{ + int i; + + for ( i = 0; i < nd_wpd; i++ ) d[i] = d1[i]-d2[i]; } -int nd_nf_pbucket(int mod,ND g,int full,ND *rp) +int ndl_disjoint(UINT *d1,UINT *d2) { - 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; + UINT t1,t2,u,u1,u2; + int i,j; - if ( !g ) { - *rp = 0; - return 1; - } - sugar = SG(g); - n = NV(g); - if ( !mod ) hmag = ((double)p_mag((P)HCQ(g)))*nd_scale; - bucket = create_pbucket(); - add_pbucket(mod,bucket,g); - d = 0; - mul = (NM)ALLOCA(sizeof(struct oNM)+nd_wpd*sizeof(unsigned int)); - while ( 1 ) { - hindex = mod?head_pbucket(mod,bucket):head_pbucket_q(bucket); - if ( hindex < 0 ) { - if ( d ) SG(d) = sugar; - *rp = d; - return 1; - } - g = bucket->body[hindex]; - index = nd_find_reducer(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(d); - free_pbucket(bucket); - *rp = 0; - return 0; - } - if ( mod ) { - p = nd_ps[index]; - c1 = invm(HCM(p),mod); c2 = mod-HCM(g); - DMAR(c1,c2,0,mod,c); CM(mul) = c; - } else { - p = nd_psq[index]; - igcd_cofactor(HCQ(g),HCQ(p),&gcd,&cg,&cred); - chsgnq(cg,&CQ(mul)); - nd_mul_c_q(d,cred); - mulq_pbucket(bucket,cred); - g = bucket->body[hindex]; - gmag = (double)p_mag((P)HCQ(g)); - } - red = ndv_mul_nm(mod,p,mul); - bucket->body[hindex] = nd_remove_head(g); - red = nd_remove_head(red); - add_pbucket(mod,bucket,red); - 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); - } - } - } + if ( nd_module && (MPOS(d1) == MPOS(d2)) ) return 0; +#if USE_UNROLL + switch ( nd_bpe ) { + case 3: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + t1 = u1&0x38000000; t2 = u2&0x38000000; if ( t1&&t2 ) return 0; + t1 = u1& 0x7000000; t2 = u2& 0x7000000; if ( t1&&t2 ) return 0; + t1 = u1& 0xe00000; t2 = u2& 0xe00000; if ( t1&&t2 ) return 0; + t1 = u1& 0x1c0000; t2 = u2& 0x1c0000; if ( t1&&t2 ) return 0; + t1 = u1& 0x38000; t2 = u2& 0x38000; if ( t1&&t2 ) return 0; + t1 = u1& 0x7000; t2 = u2& 0x7000; if ( t1&&t2 ) return 0; + t1 = u1& 0xe00; t2 = u2& 0xe00; if ( t1&&t2 ) return 0; + t1 = u1& 0x1c0; t2 = u2& 0x1c0; if ( t1&&t2 ) return 0; + t1 = u1& 0x38; t2 = u2& 0x38; if ( t1&&t2 ) return 0; + t1 = u1& 0x7; t2 = u2& 0x7; if ( t1&&t2 ) return 0; + } + return 1; + break; + case 4: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + t1 = u1&0xf0000000; t2 = u2&0xf0000000; if ( t1&&t2 ) return 0; + t1 = u1& 0xf000000; t2 = u2& 0xf000000; if ( t1&&t2 ) return 0; + t1 = u1& 0xf00000; t2 = u2& 0xf00000; if ( t1&&t2 ) return 0; + t1 = u1& 0xf0000; t2 = u2& 0xf0000; if ( t1&&t2 ) return 0; + t1 = u1& 0xf000; t2 = u2& 0xf000; if ( t1&&t2 ) return 0; + t1 = u1& 0xf00; t2 = u2& 0xf00; if ( t1&&t2 ) return 0; + t1 = u1& 0xf0; t2 = u2& 0xf0; if ( t1&&t2 ) return 0; + t1 = u1& 0xf; t2 = u2& 0xf; if ( t1&&t2 ) return 0; + } + return 1; + break; + case 6: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + t1 = u1&0x3f000000; t2 = u2&0x3f000000; if ( t1&&t2 ) return 0; + t1 = u1& 0xfc0000; t2 = u2& 0xfc0000; if ( t1&&t2 ) return 0; + t1 = u1& 0x3f000; t2 = u2& 0x3f000; if ( t1&&t2 ) return 0; + t1 = u1& 0xfc0; t2 = u2& 0xfc0; if ( t1&&t2 ) return 0; + t1 = u1& 0x3f; t2 = u2& 0x3f; if ( t1&&t2 ) return 0; + } + return 1; + break; + case 8: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + t1 = u1&0xff000000; t2 = u2&0xff000000; if ( t1&&t2 ) return 0; + t1 = u1& 0xff0000; t2 = u2& 0xff0000; if ( t1&&t2 ) return 0; + t1 = u1& 0xff00; t2 = u2& 0xff00; if ( t1&&t2 ) return 0; + t1 = u1& 0xff; t2 = u2& 0xff; if ( t1&&t2 ) return 0; + } + return 1; + break; + case 16: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + t1 = u1&0xffff0000; t2 = u2&0xffff0000; if ( t1&&t2 ) return 0; + t1 = u1& 0xffff; t2 = u2& 0xffff; if ( t1&&t2 ) return 0; + } + return 1; + break; + case 32: + for ( i = nd_exporigin; i < nd_wpd; i++ ) + if ( d1[i] && d2[i] ) return 0; + return 1; + break; + default: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + for ( j = 0; j < nd_epw; j++ ) { + if ( (u1&nd_mask0) && (u2&nd_mask0) ) return 0; + u1 >>= nd_bpe; u2 >>= nd_bpe; + } + } + return 1; + break; + } +#else + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + for ( j = 0; j < nd_epw; j++ ) { + if ( (u1&nd_mask0) && (u2&nd_mask0) ) return 0; + u1 >>= nd_bpe; u2 >>= nd_bpe; + } + } + return 1; +#endif } -int nd_nf_direct(int mod,ND g,NDV *ps,int len,int full,ND *rp) +int ndl_check_bound(UINT *d1,UINT *d2) { - ND d; - NM m,mrd,tail; - NM mul; - int n,sugar,psugar,sugar0,stat,index; - int c,c1,c2; - RHist h; - NDV p,red; - Q cg,cred,gcd; - double hmag; + UINT u2; + int i,j,ind,k; - if ( !g ) { - *rp = 0; - return 1; - } -#if 0 - if ( !mod ) - hmag = ((double)p_mag((P)HCQ(g)))*nd_scale; + 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]>k)&nd_mask0) > nd_mask0 ) return 1; + } + return 0; + break; + } #else - /* XXX */ - hmag = 0; + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u2 = d2[i]; + k = (nd_epw-1)*nd_bpe; + for ( j = 0; j < nd_epw; j++, k -= nd_bpe ) + if ( d1[ind++]+((u2>>k)&nd_mask0) > nd_mask0 ) return 1; + } + return 0; #endif +} - sugar0 = sugar = SG(g); - n = NV(g); - mul = (NM)ALLOCA(sizeof(struct oNM)+nd_wpd*sizeof(unsigned int)); - for ( d = 0; g; ) { - index = nd_find_reducer_direct(g,ps,len); - if ( index >= 0 ) { - p = ps[index]; - ndl_sub(HDL(g),HDL(p),DL(mul)); - if ( ndl_check_bound2_direct(HDL(p),DL(mul)) ) { - nd_free(g); nd_free(d); - return 0; - } - if ( mod ) { - c1 = invm(HCM(p),mod); c2 = mod-HCM(g); - DMAR(c1,c2,0,mod,c); CM(mul) = c; - } else { - igcd_cofactor(HCQ(g),HCQ(p),&gcd,&cg,&cred); - chsgnq(cg,&CQ(mul)); - nd_mul_c_q(d,cred); nd_mul_c_q(g,cred); - } - g = nd_add(mod,g,ndv_mul_nm(mod,p,mul)); - sugar = MAX(sugar,SG(p)+TD(DL(mul))); - if ( !mod && hmag && g && ((double)(p_mag((P)HCQ(g))) > hmag) ) { - nd_removecont2(d,g); - hmag = ((double)p_mag((P)HCQ(g)))*nd_scale; - } - } 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 ndl_check_bound2(int index,UINT *d2) +{ + return ndl_check_bound(nd_bound[index],d2); } -int nd_nf_direct_pbucket(int mod,ND g,NDV *ps,int len,int full,ND *rp) +INLINE int ndl_hash_value(UINT *d) { - 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 i; + int r; - if ( !g ) { - *rp = 0; - return 1; - } - sugar = SG(g); - n = NV(g); -#if 0 - if ( !mod ) - hmag = ((double)p_mag((P)HCQ(g)))*nd_scale; + 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 - /* XXX */ - hmag = 0; + 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 - bucket = create_pbucket(); - add_pbucket(mod,bucket,g); - d = 0; - mul = (NM)ALLOCA(sizeof(struct oNM)+nd_wpd*sizeof(unsigned int)); - while ( 1 ) { - hindex = mod?head_pbucket(mod,bucket):head_pbucket_q(bucket); - if ( hindex < 0 ) { - if ( d ) - SG(d) = sugar; - *rp = d; - return 1; - } - g = bucket->body[hindex]; - index = nd_find_reducer_direct(g,ps,len); - if ( index >= 0 ) { - p = ps[index]; - ndl_sub(HDL(g),HDL(p),DL(mul)); - if ( ndl_check_bound2_direct(HDL(p),DL(mul)) ) { - nd_free(d); - free_pbucket(bucket); - *rp = 0; - return 0; - } - if ( mod ) { - c1 = invm(HCM(p),mod); c2 = mod-HCM(g); - DMAR(c1,c2,0,mod,c); CM(mul) = c; - } else { - igcd_cofactor(HCQ(g),HCQ(p),&gcd,&cg,&cred); - chsgnq(cg,&CQ(mul)); - nd_mul_c_q(d,cred); - mulq_pbucket(bucket,cred); - g = bucket->body[hindex]; - gmag = (double)p_mag((P)HCQ(g)); - } - red = ndv_mul_nm(mod,p,mul); - bucket->body[hindex] = nd_remove_head(g); - red = nd_remove_head(red); - add_pbucket(mod,bucket,red); - sugar = MAX(sugar,SG(p)+TD(DL(mul))); - if ( !mod && hmag && (gmag > hmag) ) { - g = normalize_pbucket(mod,bucket); - if ( !g ) { - if ( d ) SG(d) = sugar; - *rp = d; - return 1; - } - nd_removecont2(d,g); - hmag = ((double)p_mag((P)HCQ(g)))*nd_scale; - add_pbucket(mod,bucket,g); - } - } else if ( !full ) { - g = normalize_pbucket(mod,bucket); - if ( g ) SG(g) = sugar; - *rp = g; - return 1; - } else { - m = BDY(g); - if ( NEXT(m) ) { - BDY(g) = NEXT(m); NEXT(m) = 0; LEN(g)--; - } else { - FREEND(g); g = 0; - } - bucket->body[hindex] = g; - NEXT(m) = 0; - if ( d ) { - NEXT(tail)=m; tail=m; LEN(d)++; - } else { - MKND(n,m,1,d); tail = BDY(d); - } - } - } + 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; + } } -/* input : list of DP, cand : list of DP */ +ND nd_add_sf(ND p1,ND p2) +{ + int n,c,can; + ND r; + NM m1,m2,mr0,mr,s; + int t; -int nd_check_candidate(NODE input,NODE cand) + 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 n,i,stat; - ND nf,d; - NODE t; + int c,c1,c2; + Q cg,cred,gcd,tq; + P cgp,credp,gcdp; + Obj tr,tr1; - nd_setup(0,cand); - n = length(cand); + 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)); +} - /* membercheck : list is a subset of Id(cand) ? */ - for ( t = input; t; t = NEXT(t) ) { - d = dptond(0,(DP)BDY(t)); - stat = nd_nf_direct(0,d,nd_psq,n,0,&nf); - if ( !stat ) nd_reconstruct_direct(0,nd_psq,n); - else if ( nf ) return 0; - } - /* gbcheck : cand is a GB of Id(cand) ? */ - if ( !nd_gb(0,1) ) return 0; - /* XXX */ - return 1; +/* 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) { - NM m; + NM m; - m = BDY(p); - if ( !NEXT(m) ) { - FREEND(p); p = 0; - } else { - BDY(p) = NEXT(m); LEN(p)--; - } - FREENM(m); - return p; + m = BDY(p); + if ( !NEXT(m) ) { + FREEND(p); p = 0; + } else { + BDY(p) = NEXT(m); LEN(p)--; + } + FREENM(m); + return p; } +ND nd_separate_head(ND p,ND *head) +{ + NM m,m0; + ND r; + + m = BDY(p); + if ( !NEXT(m) ) { + *head = p; p = 0; + } else { + m0 = m; + BDY(p) = NEXT(m); LEN(p)--; + NEXT(m0) = 0; + MKND(NV(p),m0,1,r); + *head = r; + } + return p; +} + PGeoBucket create_pbucket() { PGeoBucket g; - - g = CALLOC(1,sizeof(struct oPGeoBucket)); - g->m = -1; - return g; + + g = CALLOC(1,sizeof(struct oPGeoBucket)); + g->m = -1; + return g; } void free_pbucket(PGeoBucket b) { - int i; + int i; - for ( i = 0; i <= b->m; i++ ) - if ( b->body[i] ) { - nd_free(b->body[i]); - b->body[i] = 0; - } - GC_free(b); + for ( i = 0; i <= b->m; i++ ) + if ( b->body[i] ) { + nd_free(b->body[i]); + b->body[i] = 0; + } + GCFREE(b); } +void add_pbucket_symbolic(PGeoBucket g,ND d) +{ + int l,i,k,m; + + if ( !d ) + return; + l = LEN(d); + for ( k = 0, m = 1; l > m; k++, m <<= 1 ); + /* 2^(k-1) < l <= 2^k (=m) */ + d = nd_merge(g->body[k],d); + for ( ; d && LEN(d) > m; k++, m <<= 1 ) { + g->body[k] = 0; + d = nd_merge(g->body[k+1],d); + } + g->body[k] = d; + g->m = MAX(g->m,k); +} + void add_pbucket(int mod,PGeoBucket g,ND d) { - int l,i,k,m; + int l,i,k,m; - if ( !d ) - return; - l = LEN(d); - for ( k = 0, m = 1; l > m; k++, m <<= 1 ); - /* 2^(k-1) < l <= 2^k (=m) */ - d = nd_add(mod,g->body[k],d); - for ( ; d && LEN(d) > m; k++, m <<= 1 ) { - g->body[k] = 0; - d = nd_add(mod,g->body[k+1],d); - } - g->body[k] = d; - g->m = MAX(g->m,k); + if ( !d ) + return; + l = LEN(d); + for ( k = 0, m = 1; l > m; k++, m <<= 1 ); + /* 2^(k-1) < l <= 2^k (=m) */ + d = nd_add(mod,g->body[k],d); + for ( ; d && LEN(d) > m; k++, m <<= 1 ) { + g->body[k] = 0; + d = nd_add(mod,g->body[k+1],d); + } + g->body[k] = d; + g->m = MAX(g->m,k); } void mulq_pbucket(PGeoBucket g,Q c) { - int k; + int k; - for ( k = 0; k <= g->m; k++ ) - nd_mul_c_q(g->body[k],c); + for ( k = 0; k <= g->m; k++ ) + nd_mul_c_q(g->body[k],(P)c); } +NM remove_head_pbucket_symbolic(PGeoBucket g) +{ + int j,i,k,c; + NM head; + + k = g->m; + j = -1; + for ( i = 0; i <= k; i++ ) { + if ( !g->body[i] ) continue; + if ( j < 0 ) j = i; + else { + c = DL_COMPARE(HDL(g->body[i]),HDL(g->body[j])); + if ( c > 0 ) + j = i; + else if ( c == 0 ) + g->body[i] = nd_remove_head(g->body[i]); + } + } + if ( j < 0 ) return 0; + else { + head = BDY(g->body[j]); + if ( !NEXT(head) ) { + FREEND(g->body[j]); + g->body[j] = 0; + } else { + BDY(g->body[j]) = NEXT(head); + LEN(g->body[j])--; + } + return head; + } +} + int head_pbucket(int mod,PGeoBucket g) { - int j,i,c,k,nv,sum; - unsigned int *di,*dj; - ND gi,gj; + 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 ) { - 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); - } + 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; + 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); - } + 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; - ND r,t; + Q i1,i2; - r = 0; - for ( i = 0; i <= g->m; i++ ) { - r = nd_add(mod,r,g->body[i]); - g->body[i] = 0; + 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; } - g->m = -1; - return r; + if ( tn0 ) NEXT(tn) = 0; MKLIST(l0,tn0); + return l0; } /* return value = 0 => input is not a GB */ -NODE nd_gb(int m,int checkonly) +NODE nd_gb(int m,int ishomo,int checkonly,int gensyz,int **indp) { - int i,nh,sugar,stat; - NODE r,g,t; - ND_pairs d; - ND_pairs l; + int i,nh,sugar,stat; + NODE r,g,t; + ND_pairs d; + ND_pairs l; + ND h,nf,s,head,nf1; + NDV nfv; + Q q,num,den; + union oNDC dn,hc; + int diag_count = 0; + P cont; + LIST list; + + g = 0; d = 0; + for ( i = 0; i < nd_psn; i++ ) { + d = update_pairs(d,g,i,gensyz); + g = update_base(g,i); + } + sugar = 0; + while ( d ) { +again: + l = nd_minp(d,&d); + if ( 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; + } + if ( DP_Print ) { printf("+"); fflush(stdout); } + hc = HCU(nf); + nd_removecont(m,nf); + if ( !m && nd_nalg ) { + nd_monic(0,&nf); + nd_removecont(m,nf); + } + if ( nd_gentrace ) { + 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; +} + +/* splist = [[i1,i2],...] */ + +int check_splist(int m,NODE splist) +{ + NODE t,p; + ND_pairs d,r,l; + int stat; ND h,nf; - g = 0; d = 0; - for ( i = 0; i < nd_psn; i++ ) { - d = update_pairs(d,g,i); - g = update_base(g,i); + 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 */ } - sugar = 0; - while ( d ) { + if ( d ) NEXT(r) = 0; + + while ( d ) { again: - l = nd_minp(d,&d); - if ( SG(l) != sugar ) { - sugar = SG(l); - fprintf(asir_out,"%d",sugar); - } - stat = nd_sp(m,l,&h); - if ( !stat ) { - NEXT(l) = d; d = l; - d = nd_reconstruct(m,0,d); - goto again; - } - stat = m?nd_nf_pbucket(m,h,!Top,&nf):nd_nf(m,h,!Top,&nf); - if ( !stat ) { - NEXT(l) = d; d = l; - d = nd_reconstruct(m,0,d); - goto again; - } else if ( nf ) { - if ( checkonly ) return 0; - printf("+"); fflush(stdout); - nh = nd_newps(m,nf); - d = update_pairs(d,g,nh); - g = update_base(g,nh); - FREENDP(l); - } else { - printf("."); fflush(stdout); - FREENDP(l); - } - } - if ( m ) - for ( t = g; t; t = NEXT(t) ) BDY(t) = (pointer)nd_ps[(int)BDY(t)]; - else - for ( t = g; t; t = NEXT(t) ) BDY(t) = (pointer)nd_psq[(int)BDY(t)]; - return g; + l = nd_minp(d,&d); + stat = nd_sp(m,0,l,&h); + if ( !stat ) { + NEXT(l) = d; d = l; + d = nd_reconstruct(0,d); + goto again; + } + stat = nd_nf(m,0,h,nd_ps,!Top,0,&nf); + if ( !stat ) { + NEXT(l) = d; d = l; + d = nd_reconstruct(0,d); + goto again; + } else if ( nf ) return 0; + if ( DP_Print) { printf("."); fflush(stdout); } + } + if ( DP_Print) { printf("done.\n"); fflush(stdout); } + return 1; } -NODE nd_gb_trace(int m) +int check_splist_f4(int m,NODE splist) { - int i,nh,sugar,stat; - NODE r,g,t; - ND_pairs d; - ND_pairs l; - ND h,nf,nfq; + UINT *s0vect; + PGeoBucket bucket; + NODE p,rp0,t; + ND_pairs d,r,l,ll; + int col,stat; - g = 0; d = 0; - for ( i = 0; i < nd_psn; i++ ) { - d = update_pairs(d,g,i); - g = update_base(g,i); + 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 */ } - sugar = 0; - while ( d ) { + if ( d ) NEXT(r) = 0; + + while ( d ) { + l = nd_minsugarp(d,&d); + bucket = create_pbucket(); + stat = nd_sp_f4(m,0,l,bucket); + if ( !stat ) { + for ( ll = l; NEXT(ll); ll = NEXT(ll) ); + NEXT(ll) = d; d = l; + d = nd_reconstruct(0,d); + continue; + } + if ( bucket->m < 0 ) continue; + col = nd_symbolic_preproc(bucket,0,&s0vect,&rp0); + if ( !col ) { + for ( ll = l; NEXT(ll); ll = NEXT(ll) ); + NEXT(ll) = d; d = l; + d = nd_reconstruct(0,d); + continue; + } + if ( nd_f4_red(m,l,0,s0vect,col,rp0,0) ) return 0; + } + return 1; +} + +int do_diagonalize_trace(int sugar,int m) +{ + int i,nh,stat; + NODE r,g,t; + ND h,nf,nfq,s,head; + NDV nfv,nfqv; + Q q,den,num; + union oNDC hc; + NODE node; + LIST l; + Q iq; + P cont,cont1; + + for ( i = nd_psn-1; i >= 0 && SG(nd_psh[i]) == sugar; i-- ) { + if ( nd_gentrace ) { + /* Trace = [1,index,1,1] */ + STOQ(i,iq); node = mknode(4,ONE,iq,ONE,ONE); + MKLIST(l,node); MKNODE(nd_tracelist,l,0); + } + /* for nd_ps */ + s = ndvtond(m,nd_ps[i]); + s = nd_separate_head(s,&head); + stat = nd_nf_pbucket(m,s,nd_ps,1,&nf); + if ( !stat ) return 0; + nf = nd_add(m,head,nf); + ndv_free(nd_ps[i]); + nd_ps[i] = ndtondv(m,nf); + nd_free(nf); + + /* for nd_ps_trace */ + if ( nd_demand ) + nfv = ndv_load(i); + else + nfv = nd_ps_trace[i]; + s = ndvtond(0,nfv); + s = nd_separate_head(s,&head); + stat = nd_nf(0,head,s,nd_ps_trace,1,0,&nf); + if ( !stat ) return 0; + ndv_free(nfv); + hc = HCU(nf); nd_removecont(0,nf); + cont = ndc_div(0,hc,HCU(nf)); + if ( 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 ( SG(l) != sugar ) { - sugar = SG(l); - fprintf(asir_out,"%d",sugar); - } - stat = nd_sp(m,l,&h); - if ( !stat ) { - NEXT(l) = d; d = l; - d = nd_reconstruct(m,1,d); - goto again; - } - stat = nd_nf_pbucket(m,h,!Top,&nf); - if ( !stat ) { - NEXT(l) = d; d = l; - d = nd_reconstruct(m,1,d); - goto again; - } else if ( nf ) { - /* overflow does not occur */ - nd_sp(0,l,&h); - nd_nf(0,h,!Top,&nfq); - if ( nfq ) { - printf("+"); fflush(stdout); - nh = nd_newps_trace(m,nf,nfq); - /* failure; m|HC(nfq) */ - if ( nf < 0 ) return 0; - d = update_pairs(d,g,nh); - g = update_base(g,nh); - } else { - printf("*"); fflush(stdout); - } - } else { - printf("."); fflush(stdout); - } - FREENDP(l); - } - for ( t = g; t; t = NEXT(t) ) - BDY(t) = (pointer)nd_psq[(int)BDY(t)]; - return g; + 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)); + return DL_COMPARE(HDL(*p1),HDL(*p2)); } int ndv_compare_rev(NDV *p1,NDV *p2) { - return -DL_COMPARE(HDL(*p1),HDL(*p2)); + return -DL_COMPARE(HDL(*p1),HDL(*p2)); } -NODE nd_reduceall(int m,NODE f) +int ndvi_compare(NDVI p1,NDVI p2) { - int i,j,n,stat; - NDV *w,*ps; - ND nf,g; - NODE t,a0,a; + return DL_COMPARE(HDL(p1->p),HDL(p2->p)); +} - for ( n = 0, t = f; t; t = NEXT(t), n++ ); - ps = (NDV *)ALLOCA(n*sizeof(NDV)); - for ( i = 0, t = f; i < n; i++, t = NEXT(t) ) - ps[i] = (NDV)BDY(t); - qsort(ps,n,sizeof(NDV),(int (*)(const void *,const void *))ndv_compare); - w = (NDV *)ALLOCA((n-1)*sizeof(NDV)); - for ( i = 0; i < n; i++ ) { - for ( j = 0; j < i; j++ ) w[j] = (NDV)ps[j]; - for ( j = i+1; j < n; j++ ) w[j-1] = ps[j]; - g = ndvtond(m,ps[i]); - stat = nd_nf_direct(m,g,w,n-1,1,&nf); - if ( !stat ) - nd_reconstruct_direct(m,ps,n); - else if ( !nf ) { - printf("."); fflush(stdout); - ndv_free(ps[i]); - for ( j = i+1; j < n; j++ ) ps[j-1] = ps[j]; - n--; - } else { - printf("."); fflush(stdout); - ndv_free(ps[i]); - nd_removecont(m,nf); - ps[i] = ndtondv(m,nf); - nd_free(nf); - } - } - for ( a0 = 0, i = 0; i < n; i++ ) { - NEXTNODE(a0,a); - BDY(a) = (pointer)ps[i]; - } - NEXT(a) = 0; - return a0; +int ndvi_compare_rev(NDVI p1,NDVI p2) +{ + return -DL_COMPARE(HDL(p1->p),HDL(p2->p)); } -ND_pairs update_pairs( ND_pairs d, NODE /* of index */ g, int t) +NODE ndv_reduceall(int m,NODE f) { - ND_pairs d1,nd,cur,head,prev,remove; + 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 ( !g ) return d; - d = crit_B(d,t); - d1 = nd_newpairs(g,t); - d1 = crit_M(d1); - d1 = crit_F(d1); - 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 ( 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 ) - return head; - else { - nd = d; - while ( NEXT(nd) ) nd = NEXT(nd); - NEXT(nd) = head; - return d; - } + for ( i = 0; i < n; ) { + 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); + } + g = ndvtond(m,nd_ps[i]); + g = nd_separate_head(g,&head); + stat = nd_nf(m,head,g,nd_ps,1,0,&nf); + if ( !stat ) + nd_reconstruct(0,0); + else { + if ( DP_Print ) { printf("."); fflush(stdout); } + ndv_free(nd_ps[i]); + hc = HCU(nf); nd_removecont(m,nf); + if ( 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; - unsigned int *dl; - int ts,s; - ND_pairs r,r0; + ND_pairs d1,nd,cur,head,prev,remove; - dl = DL(nd_psh[t]); - ts = SG(nd_psh[t]) - TD(dl); - for ( r0 = 0, h = g; h; h = NEXT(h) ) { - NEXTND_pairs(r0,r); - r->i1 = (int)BDY(h); - r->i2 = t; - ndl_lcm(DL(nd_psh[r->i1]),dl,r->lcm); - s = SG(nd_psh[r->i1])-TD(DL(nd_psh[r->i1])); - SG(r) = MAX(s,ts) + TD(LCM(r)); + if ( !g ) return d; + /* for testing */ + if ( gensyz && nd_gensyz == 2 ) { + d1 = nd_newpairs(g,t); + if ( !d ) + return d1; + else { + nd = d; + while ( NEXT(nd) ) nd = NEXT(nd); + NEXT(nd) = d1; + return d; + } } - NEXT(r) = 0; - return r0; + d = crit_B(d,t); + d1 = nd_newpairs(g,t); + d1 = crit_M(d1); + d1 = crit_F(d1); + if ( gensyz || do_weyl ) + head = d1; + else { + prev = 0; cur = head = d1; + while ( cur ) { + if ( crit_2( cur->i1,cur->i2 ) ) { + remove = cur; + if ( !prev ) head = cur = NEXT(cur); + else cur = NEXT(prev) = NEXT(cur); + FREENDP(remove); + } else { + prev = cur; cur = NEXT(cur); + } + } + } + if ( !d ) + return head; + else { + nd = d; + while ( NEXT(nd) ) nd = NEXT(nd); + NEXT(nd) = head; + return d; + } } -ND_pairs crit_B( ND_pairs d, int s ) + +ND_pairs nd_newpairs( NODE g, int t ) { - ND_pairs cur,head,prev,remove; - unsigned int *t,*tl,*lcm; - int td,tdl; + NODE h; + UINT *dl; + int ts,s,i,t0,min,max; + ND_pairs r,r0; - if ( !d ) return 0; - t = DL(nd_psh[s]); - prev = 0; - head = cur = d; - lcm = (unsigned int *)ALLOCA((nd_wpd+1)*sizeof(unsigned int)); - while ( cur ) { - tl = cur->lcm; - if ( ndl_reducible(tl,t) - && (ndl_lcm(DL(nd_psh[cur->i1]),t,lcm),!ndl_equal(lcm,tl)) - && (ndl_lcm(DL(nd_psh[cur->i2]),t,lcm),!ndl_equal(lcm,tl)) ) { - remove = cur; - if ( !prev ) { - head = cur = NEXT(cur); - } else { - cur = NEXT(prev) = NEXT(cur); + dl = DL(nd_psh[t]); + ts = SG(nd_psh[t]) - TD(dl); + if ( nd_module && nd_intersect && (MPOS(dl) > 1) ) return 0; + for ( r0 = 0, h = g; h; h = NEXT(h) ) { + if ( nd_module && (MPOS(DL(nd_psh[(long)BDY(h)])) != MPOS(dl)) ) + continue; + if ( nd_gbblock ) { + t0 = (long)BDY(h); + for ( i = 0; nd_gbblock[i] >= 0; i += 2 ) { + min = nd_gbblock[i]; max = nd_gbblock[i+1]; + if ( t0 >= min && t0 <= max && t >= min && t <= max ) + break; } - FREENDP(remove); - } else { - prev = cur; cur = NEXT(cur); + if ( nd_gbblock[i] >= 0 ) + continue; } - } - return head; + NEXTND_pairs(r0,r); + r->i1 = (long)BDY(h); + r->i2 = t; + ndl_lcm(DL(nd_psh[r->i1]),dl,r->lcm); + s = SG(nd_psh[r->i1])-TD(DL(nd_psh[r->i1])); + SG(r) = MAX(s,ts) + TD(LCM(r)); + /* experimental */ + if ( nd_sugarweight ) + r->sugar2 = ndl_weight2(r->lcm); + } + if ( r0 ) NEXT(r) = 0; + return r0; } -/* XXX : check is necessary */ +/* 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 e,d2,d3,dd,p; - unsigned int *id,*jd; + ND_pairs e,d2,d3,dd,p; + UINT *id,*jd; - for ( dd = 0, e = d1; e; e = d3 ) { - if ( !(d2 = NEXT(e)) ) { - NEXT(e) = dd; - return e; - } - id = LCM(e); - for ( d3 = 0; d2; d2 = p ) { - p = NEXT(d2); - jd = LCM(d2); - if ( ndl_equal(jd,id) ) - ; - else if ( TD(jd) > TD(id) ) - if ( ndl_reducible(jd,id) ) continue; - else ; - else if ( ndl_reducible(id,jd) ) goto delit; - NEXT(d2) = d3; - d3 = d2; - } - NEXT(e) = dd; - dd = e; - continue; - /**/ - delit: NEXT(d2) = d3; - d3 = d2; - for ( ; p; p = d2 ) { - d2 = NEXT(p); - NEXT(p) = d3; - d3 = p; - } - FREENDP(e); - } - return dd; + if ( !d1 ) return d1; + for ( dd = 0, e = d1; e; e = d3 ) { + if ( !(d2 = NEXT(e)) ) { + NEXT(e) = dd; + return e; + } + id = LCM(e); + for ( d3 = 0; d2; d2 = p ) { + p = NEXT(d2); + jd = LCM(d2); + if ( ndl_equal(jd,id) ) + ; + else if ( TD(jd) > TD(id) ) + if ( ndl_reducible(jd,id) ) continue; + else ; + else if ( ndl_reducible(id,jd) ) goto delit; + NEXT(d2) = d3; + d3 = d2; + } + NEXT(e) = dd; + dd = e; + continue; + /**/ + delit: NEXT(d2) = d3; + d3 = d2; + for ( ; p; p = d2 ) { + d2 = NEXT(p); + NEXT(p) = d3; + d3 = p; + } + FREENDP(e); + } + return dd; } ND_pairs crit_F( ND_pairs d1 ) { - ND_pairs rest, head,remove; - ND_pairs last, p, r, w; - int s; + ND_pairs rest, head,remove; + ND_pairs last, p, r, w; + int s; - for ( head = last = 0, p = d1; NEXT(p); ) { - r = w = equivalent_pairs(p,&rest); - s = SG(r); - w = NEXT(w); - while ( w ) { - if ( crit_2(w->i1,w->i2) ) { - r = w; - w = NEXT(w); - while ( w ) { - remove = w; - w = NEXT(w); - FREENDP(remove); - } - break; - } else if ( SG(w) < s ) { - FREENDP(r); - r = w; - s = SG(r); - w = NEXT(w); - } else { - remove = w; - w = NEXT(w); - FREENDP(remove); - } - } - if ( last ) NEXT(last) = r; - else head = r; - NEXT(last = r) = 0; - p = rest; - if ( !p ) return head; - } - if ( !last ) return p; - NEXT(last) = p; - return head; + if ( !d1 ) return d1; + for ( head = last = 0, p = d1; NEXT(p); ) { + r = w = equivalent_pairs(p,&rest); + s = SG(r); + w = NEXT(w); + while ( w ) { + if ( crit_2(w->i1,w->i2) ) { + r = w; + w = NEXT(w); + while ( w ) { + remove = w; + w = NEXT(w); + FREENDP(remove); + } + break; + } else if ( SG(w) < s ) { + FREENDP(r); + r = w; + s = SG(r); + w = NEXT(w); + } else { + remove = w; + w = NEXT(w); + FREENDP(remove); + } + } + if ( last ) NEXT(last) = r; + else head = r; + NEXT(last = r) = 0; + p = rest; + if ( !p ) return head; + } + if ( !last ) return p; + NEXT(last) = p; + return head; } int crit_2( int dp1, int dp2 ) { - return ndl_disjoint(DL(nd_psh[dp1]),DL(nd_psh[dp2])); + 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; - unsigned int *d; + ND_pairs w,p,r,s; + UINT *d; - w = d1; - d = LCM(w); - s = NEXT(w); - NEXT(w) = 0; - for ( r = 0; s; s = p ) { - p = NEXT(s); - if ( ndl_equal(d,LCM(s)) ) { - NEXT(s) = w; - w = s; - } else { - NEXT(s) = r; - r = s; - } - } - *prest = r; - return w; + w = d1; + d = LCM(w); + s = NEXT(w); + NEXT(w) = 0; + for ( r = 0; s; s = p ) { + p = NEXT(s); + if ( ndl_equal(d,LCM(s)) ) { + NEXT(s) = w; w = s; + } else { + NEXT(s) = r; r = s; + } + } + *prest = r; + return w; } NODE update_base(NODE nd,int ndp) { - unsigned int *dl, *dln; - NODE last, p, head; + UINT *dl, *dln; + NODE last, p, head; - dl = DL(nd_psh[ndp]); - for ( head = last = 0, p = nd; p; ) { - dln = DL(nd_psh[(int)BDY(p)]); - if ( ndl_reducible( dln, dl ) ) { - p = NEXT(p); - if ( last ) NEXT(last) = p; - } else { - if ( !last ) head = p; - p = NEXT(last = p); - } - } - head = append_one(head,ndp); - return head; + dl = DL(nd_psh[ndp]); + for ( head = last = 0, p = nd; p; ) { + dln = DL(nd_psh[(long)BDY(p)]); + if ( ndl_reducible( dln, dl ) ) { + p = NEXT(p); + if ( last ) NEXT(last) = p; + } else { + if ( !last ) head = p; + p = NEXT(last = p); + } + } + head = append_one(head,ndp); + return head; } ND_pairs nd_minp( ND_pairs d, ND_pairs *prest ) { - ND_pairs m,ml,p,l; - unsigned int *lcm; - int s,td,len,tlen,c,c1; + ND_pairs m,ml,p,l; + UINT *lcm; + int s,td,len,tlen,c,c1; - if ( !(p = NEXT(m = d)) ) { - *prest = p; - NEXT(m) = 0; - return m; - } - s = SG(m); - for ( ml = 0, l = m; p; p = NEXT(l = p) ) - if ( (SG(p) < s) - || ((SG(p) == s) && (DL_COMPARE(LCM(p),LCM(m)) < 0)) ) { - ml = l; - m = p; - s = SG(m); - } - if ( !ml ) *prest = NEXT(m); - else { - NEXT(ml) = NEXT(m); - *prest = d; - } - NEXT(m) = 0; - return m; + if ( !(p = NEXT(m = d)) ) { + *prest = p; + NEXT(m) = 0; + return m; + } + if ( !NoSugar ) { + if ( nd_sugarweight ) { + s = m->sugar2; + for ( ml = 0, l = m; p; p = NEXT(l = p) ) + if ( (p->sugar2 < s) + || ((p->sugar2 == s) && (DL_COMPARE(LCM(p),LCM(m)) < 0)) ) { + ml = l; m = p; s = m->sugar2; + } + } else { + s = SG(m); + for ( ml = 0, l = m; p; p = NEXT(l = p) ) + if ( (SG(p) < s) + || ((SG(p) == s) && (DL_COMPARE(LCM(p),LCM(m)) < 0)) ) { + ml = l; m = p; s = SG(m); + } + } + } else { + for ( ml = 0, l = m; p; p = NEXT(l = p) ) + if ( DL_COMPARE(LCM(p),LCM(m)) < 0 ) { + ml = l; m = p; s = SG(m); + } + } + if ( !ml ) *prest = NEXT(m); + else { + NEXT(ml) = NEXT(m); + *prest = d; + } + NEXT(m) = 0; + return m; } -int nd_newps(int mod,ND a) +ND_pairs nd_minsugarp( ND_pairs d, ND_pairs *prest ) { - int len; - RHist r; - NDV b; + int msugar,i; + ND_pairs t,dm0,dm,dr0,dr; - if ( nd_psn == nd_pslen ) { - nd_pslen *= 2; - nd_ps = (NDV *)REALLOC((char *)nd_ps,nd_pslen*sizeof(NDV)); - nd_psq = (NDV *)REALLOC((char *)nd_psq,nd_pslen*sizeof(NDV)); - nd_psh = (RHist *)REALLOC((char *)nd_psh,nd_pslen*sizeof(RHist)); - nd_bound = (unsigned int **) - REALLOC((char *)nd_bound,nd_pslen*sizeof(unsigned int *)); - } - nd_removecont(mod,a); - nd_bound[nd_psn] = nd_compute_bound(a); - NEWRHist(r); SG(r) = SG(a); ndl_copy(HDL(a),DL(r)); - nd_psh[nd_psn] = r; - b = ndtondv(mod,a); - len = LEN(b); - if ( mod ) - nd_ps[nd_psn] = b; - else - nd_psq[nd_psn] = b; - nd_free(a); - return nd_psn++; + if ( nd_sugarweight ) { + for ( msugar = d->sugar2, t = NEXT(d); t; t = NEXT(t) ) + if ( t->sugar2 < msugar ) msugar = t->sugar2; + dm0 = 0; dr0 = 0; + for ( i = 0, t = d; t; t = NEXT(t) ) + if ( i < nd_f4_nsp && t->sugar2 == msugar ) { + if ( dm0 ) NEXT(dm) = t; + else dm0 = t; + dm = t; + i++; + } else { + if ( dr0 ) NEXT(dr) = t; + else dr0 = t; + dr = t; + } + } else { + for ( msugar = SG(d), t = NEXT(d); t; t = NEXT(t) ) + if ( SG(t) < msugar ) msugar = SG(t); + dm0 = 0; dr0 = 0; + for ( i = 0, t = d; t; t = NEXT(t) ) + if ( i < nd_f4_nsp && SG(t) == msugar ) { + if ( dm0 ) NEXT(dm) = t; + else dm0 = t; + dm = t; + i++; + } else { + if ( dr0 ) NEXT(dr) = t; + else dr0 = t; + dr = t; + } + } + NEXT(dm) = 0; + if ( dr0 ) NEXT(dr) = 0; + *prest = dr0; + return dm0; } -int nd_newps_trace(int mod,ND nf,ND nfq) +int nd_tdeg(NDV c) { - int len; - RHist r; - NDV b; + int wmax = 0; + int i,len; + NMV a; - if ( nd_psn == nd_pslen ) { - nd_pslen *= 2; - nd_ps = (NDV *)REALLOC((char *)nd_ps,nd_pslen*sizeof(NDV)); - nd_psq = (NDV *)REALLOC((char *)nd_psq,nd_pslen*sizeof(NDV)); - nd_psh = (RHist *)REALLOC((char *)nd_psh,nd_pslen*sizeof(RHist)); - nd_bound = (unsigned int **) - REALLOC((char *)nd_bound,nd_pslen*sizeof(unsigned int *)); - } - if ( !rem(NM(HCQ(nfq)),mod) ) return -1; - nd_removecont(mod,nf); - nd_ps[nd_psn] = ndtondv(mod,nf); + len = LEN(c); + for ( a = BDY(c), i = 0; i < len; i++, NMV_ADV(a) ) + wmax = MAX(TD(DL(a)),wmax); + return wmax; +} - nd_removecont(0,nfq); - nd_psq[nd_psn] = ndtondv(0,nfq); +int ndv_newps(int m,NDV a,NDV aq,int f4) +{ + int len; + RHist r; + NDV b; + NODE tn; + LIST l; + Q iq; - nd_bound[nd_psn] = nd_compute_bound(nfq); - NEWRHist(r); SG(r) = SG(nf); ndl_copy(HDL(nf),DL(r)); - nd_psh[nd_psn] = r; - nd_free(nf); nd_free(nfq); - return nd_psn++; + 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 + ndl_copy(HDL(aq),DL(r)); + } else { + if ( !m ) register_hcf(a); + nd_bound[nd_psn] = ndv_compute_bound(a); +#if 1 + SG(r) = SG(a); +#else + SG(r) = nd_tdeg(a); +#endif + ndl_copy(HDL(a),DL(r)); + if ( !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++; } -void nd_setup(int mod,NODE f) +/* nd_tracelist = [[0,index,div],...,[nd_psn-1,index,div]] */ +/* return 1 if success, 0 if failure (HC(a mod p)) */ + +int ndv_setup(int mod,int trace,NODE f,int dont_sort,int dont_removecont) { - int i,j,td,len,max; - NODE s,s0,f0; - unsigned int *d; - RHist r; - NDV a; + int i,j,td,len,max; + NODE s,s0,f0,tn; + UINT *d; + RHist r; + NDVI w; + NDV a,am; + union oNDC hc; + NODE node; + P hcp; + Q iq,jq,hcq; + LIST l; - nd_found = 0; nd_notfirst = 0; nd_create = 0; + nd_found = 0; nd_notfirst = 0; nd_create = 0; + /* initialize the tracelist */ + nd_tracelist = 0; - nd_psn = length(f); nd_pslen = 2*nd_psn; - nd_ps = (NDV *)MALLOC(nd_pslen*sizeof(NDV)); - nd_psq = (NDV *)MALLOC(nd_pslen*sizeof(NDV)); - nd_psh = (RHist *)MALLOC(nd_pslen*sizeof(RHist)); - nd_bound = (unsigned int **)MALLOC(nd_pslen*sizeof(unsigned int *)); - for ( max = 0, i = 0, s = f; i < nd_psn; i++, s = NEXT(s) ) { - nd_bound[i] = d = dp_compute_bound((DP)BDY(s)); - for ( j = 0; j < nd_nvar; j++ ) - max = MAX(d[j],max); - } - if ( !nd_red ) - nd_red = (RHist *)MALLOC(REDTAB_LEN*sizeof(RHist)); - bzero(nd_red,REDTAB_LEN*sizeof(RHist)); + 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 ( max < 2 ) nd_bpe = 2; - else if ( max < 4 ) nd_bpe = 4; - else if ( max < 64 ) nd_bpe = 6; - else if ( max < 256 ) nd_bpe = 8; - else if ( max < 65536 ) nd_bpe = 16; - else nd_bpe = 32; + if ( trace && nd_vc ) + makesubst(nd_vc,&nd_subst); + else + nd_subst = 0; - nd_setup_parameters(); - nd_free_private_storage(); - len = 0; - for ( i = 0; i < nd_psn; i++, f = NEXT(f) ) { - NEWRHist(r); - a = dptondv(mod,(DP)BDY(f)); - ndv_removecont(mod,a); - len = MAX(len,LEN(a)); - SG(r) = HTD(a); ndl_copy(HDL(a),DL(r)); - if ( mod ) nd_ps[i] = a; - else nd_psq[i] = a; - nd_psh[i] = r; - } + 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; } -void nd_setup_trace(int mod,NODE f) +struct order_spec *append_block(struct order_spec *spec, + int nv,int nalg,int ord); + +extern VECT current_dl_weight_vector_obj; +static VECT prev_weight_vector_obj; + +void preprocess_algcoef(VL vv,VL av,struct order_spec *ord,LIST f, + struct order_spec **ord1p,LIST *f1p,NODE *alistp) { - int i,j,td,len,max; - NODE s,s0,f0; - unsigned int *d; - RHist r; - NDV a; + 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; - nd_found = 0; nd_notfirst = 0; nd_create = 0; + for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++); + for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++); - nd_psn = length(f); nd_pslen = 2*nd_psn; - nd_ps = (NDV *)MALLOC(nd_pslen*sizeof(NDV)); - nd_psq = (NDV *)MALLOC(nd_pslen*sizeof(NDV)); - nd_psh = (RHist *)MALLOC(nd_pslen*sizeof(RHist)); - nd_bound = (unsigned int **)MALLOC(nd_pslen*sizeof(unsigned int *)); - for ( max = 0, i = 0, s = f; i < nd_psn; i++, s = NEXT(s) ) { - nd_bound[i] = d = dp_compute_bound((DP)BDY(s)); - for ( j = 0; j < nd_nvar; j++ ) - max = MAX(d[j],max); - } - if ( !nd_red ) - nd_red = (RHist *)MALLOC(REDTAB_LEN*sizeof(RHist)); - bzero(nd_red,REDTAB_LEN*sizeof(RHist)); + 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; - if ( max < 2 ) nd_bpe = 2; - else if ( max < 4 ) nd_bpe = 4; - else if ( max < 64 ) nd_bpe = 6; - else if ( max < 256 ) nd_bpe = 8; - else if ( max < 65536 ) nd_bpe = 16; - else nd_bpe = 32; + /* 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); - nd_setup_parameters(); - nd_free_private_storage(); - len = 0; - for ( i = 0; i < nd_psn; i++, f = NEXT(f) ) { - a = dptondv(mod,(DP)BDY(f)); ndv_removecont(mod,a); nd_ps[i] = a; - a = dptondv(0,(DP)BDY(f)); ndv_removecont(0,a); nd_psq[i] = a; - NEWRHist(r); - len = MAX(len,LEN(a)); - SG(r) = HTD(a); ndl_copy(HDL(a),DL(r)); - nd_psh[i] = r; - } + /* 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); } -void nd_gr(LIST f,LIST v,int m,struct order_spec *ord,LIST *rp) +NODE postprocess_algcoef(VL av,NODE alist,NODE r) { - struct order_spec ord1; - VL fv,vv,vc; - NODE fd,fd0,r,r0,t,x,s,xx; - DP a,b,c; + NODE s,t,u0,u; + P p; + VL tv; + Obj obj; + VECT tmp; + NODE arg; - get_vars((Obj)f,&fv); pltovl(v,&vv); - nd_nvar = length(vv); - nd_init_ord(ord); - /* XXX for DP */ - initd(ord); - for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) { - ptod(CO,vv,(P)BDY(t),&b); - NEXTNODE(fd0,fd); BDY(fd) = (pointer)b; - } - if ( fd0 ) NEXT(fd) = 0; - nd_setup(m,fd0); - x = nd_gb(m,0); - fprintf(asir_out,"found=%d,notfirst=%d,create=%d\n", - nd_found,nd_notfirst,nd_create); - x = nd_reduceall(m,x); - for ( r0 = 0, t = x; t; t = NEXT(t) ) { - NEXTNODE(r0,r); - if ( m ) { - a = ndvtodp(m,BDY(t)); - _dtop_mod(CO,vv,a,(P *)&BDY(r)); - } else { - a = ndvtodp(m,BDY(t)); - dtop(CO,vv,a,(P *)&BDY(r)); - } - } - if ( r0 ) NEXT(r) = 0; - MKLIST(*rp,r0); + 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_trace(LIST f,LIST v,int m,int homo,struct order_spec *ord,LIST *rp) +void nd_gr(LIST f,LIST v,int m,int homo,int retdp,int f4,struct order_spec *ord,LIST *rp) { - struct order_spec ord1; - VL fv,vv,vc; - NODE fd,fd0,in0,in,r,r0,t,s,cand; - DP a,b,c,h; - P p; + 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; - get_vars((Obj)f,&fv); pltovl(v,&vv); - nd_nvar = length(vv); - initd(ord); - if ( homo ) { - homogenize_order(ord,nd_nvar,&ord1); - for ( fd0 = 0, in0 = 0, t = BDY(f); t; t = NEXT(t) ) { - ptod(CO,vv,(P)BDY(t),&c); - if ( c ) { - dp_homo(c,&h); NEXTNODE(fd0,fd); BDY(fd) = (pointer)h; - NEXTNODE(in0,in); BDY(in) = (pointer)c; - } - } - if ( fd0 ) NEXT(fd) = 0; - if ( in0 ) NEXT(in) = 0; - nd_init_ord(&ord1); - initd(&ord1); - nd_nvar++; - } else { - for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) { - ptod(CO,vv,(P)BDY(t),&c); - if ( c ) { - NEXTNODE(fd0,fd); BDY(fd) = (pointer)c; - } - } - if ( fd0 ) NEXT(fd) = 0; - in0 = fd0; + nd_module = 0; + if ( !m && Demand ) nd_demand = 1; + else nd_demand = 0; + parse_nd_option(current_option); + + if ( DP_Multiple ) + nd_scale = ((double)DP_Multiple)/(double)(Denominator?Denominator:1); +#if 0 + ndv_alloc = 0; +#endif + get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc); + if ( m && nd_vc ) + error("nd_{gr,f4} : computation over Fp(X) is unsupported. Use dp_gr_mod_main()."); + for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); + switch ( ord->id ) { + case 1: + if ( ord->nv != nvar ) + error("nd_{gr,f4} : invalid order specification"); + break; + default: + break; + } + nd_nalg = 0; + av = 0; + if ( !m ) { + get_algtree((Obj)f,&av); + for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++ ); + nd_ntrans = nvar; + nd_nalg = nalg; + /* #i -> t#i */ + if ( nalg ) { + preprocess_algcoef(vv,av,ord,f,&ord1,&f1,&alist); + ord = ord1; + f = f1; + } + nvar += nalg; + } + nd_init_ord(ord); + mrank = 0; + for ( t = BDY(f), max = 1; t; t = NEXT(t) ) + for ( tv = vv; tv; tv = NEXT(tv) ) { + if ( nd_module ) { + 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); } - do { - nd_setup_trace(m,fd0); - cand = nd_gb_trace(m); - if ( !cand ) continue; - if ( homo ) { - /* dehomogenization */ - for ( t = cand; t; t = NEXT(t) ) - ndv_dehomogenize((NDV)BDY(t)); - nd_nvar--; - nd_setup_parameters(); - initd(ord); - cand = nd_reducebase(cand); - } - fprintf(asir_out,"found=%d,notfirst=%d,create=%d\n", - nd_found,nd_notfirst,nd_create); - cand = nd_reduceall(0,cand); - initd(ord); - for ( r0 = 0; cand; cand = NEXT(cand) ) { - NEXTNODE(r0,r); - BDY(r) = (pointer)ndvtodp(0,(NDV)BDY(cand)); - } - if ( r0 ) NEXT(r) = 0; - cand = r0; - } while ( !nd_check_candidate(in0,cand) ); - /* dp->p */ - for ( r = cand; r; r = NEXT(r) ) { - dtop(CO,vv,BDY(r),&p); - BDY(r) = (pointer)p; + 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; } - MKLIST(*rp,cand); + 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 } -void dltondl(int n,DL dl,unsigned int *r) +void nd_gr_postproc(LIST f,LIST v,int m,struct order_spec *ord,int do_check,LIST *rp) { - unsigned int *d; - int i; + VL tv,fv,vv,vc,av; + NODE fd,fd0,r,r0,t,x,s,xx,alist; + int e,max,nvar,i; + NDV b; + int ishomo,nalg; + Alg alpha,dp; + P p,zp; + Q dmy; + LIST f1,f2; + Obj obj; + NumberField nf; + struct order_spec *ord1; + int *perm; - d = dl->d; - for ( i = 0; i <= nd_wpd; i++ ) r[i] = 0; - if ( nd_isrlex ) - for ( i = 0; i < n; i++ ) - r[(n-1-i)/nd_epw+1] |= (d[i]<<((nd_epw-((n-1-i)%nd_epw)-1)*nd_bpe)); - else - for ( i = 0; i < n; i++ ) - r[i/nd_epw+1] |= d[i]<<((nd_epw-(i%nd_epw)-1)*nd_bpe); - TD(r) = ndl_td(r); + parse_nd_option(current_option); + get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc); + for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); + switch ( ord->id ) { + case 1: + if ( ord->nv != nvar ) + error("nd_check : invalid order specification"); + break; + default: + break; + } + nd_nalg = 0; + av = 0; + if ( !m ) { + get_algtree((Obj)f,&av); + for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++ ); + nd_ntrans = nvar; + nd_nalg = nalg; + /* #i -> t#i */ + if ( nalg ) { + preprocess_algcoef(vv,av,ord,f,&ord1,&f1,&alist); + ord = ord1; + f = f1; + } + nvar += nalg; + } + nd_init_ord(ord); + for ( t = BDY(f), max = 1; t; t = NEXT(t) ) + for ( tv = vv; tv; tv = NEXT(tv) ) { + e = getdeg(tv->v,(P)BDY(t)); + max = MAX(e,max); + } + nd_setup_parameters(nvar,max); + ishomo = 1; + for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) { + ptozp((P)BDY(t),1,&dmy,&zp); + b = (pointer)ptondv(CO,vv,zp); + if ( ishomo ) + ishomo = ishomo && ndv_ishomo(b); + if ( m ) ndv_mod(m,b); + if ( b ) { NEXTNODE(fd0,fd); BDY(fd) = (pointer)b; } + } + if ( fd0 ) NEXT(fd) = 0; + ndv_setup(m,0,fd0,0,1); + for ( x = 0, i = 0; i < nd_psn; i++ ) + x = update_base(x,i); + if ( do_check ) { + x = nd_gb(m,ishomo,1,0,&perm); + if ( !x ) { + *rp = 0; + return; + } + } else { +#if 0 + /* bug ? */ + for ( t = x; t; t = NEXT(t) ) + BDY(t) = (pointer)nd_ps[(long)BDY(t)]; +#else + conv_ilist(0,0,x,&perm); +#endif + } + x = ndv_reducebase(x,perm); + x = ndv_reduceall(m,x); + for ( r0 = 0, t = x; t; t = NEXT(t) ) { + NEXTNODE(r0,r); + BDY(r) = ndvtop(m,CO,vv,BDY(t)); + } + if ( r0 ) NEXT(r) = 0; + if ( !m && nd_nalg ) + r0 = postprocess_algcoef(av,alist,r0); + MKLIST(*rp,r0); } -DL ndltodl(int n,unsigned int *ndl) +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) { - DL dl; - int *d; - int i; + int c,c1,c2,i; + NM mul,m,tail; + ND d,r,rm; + NODE sj; + NDV red; + Obj mj; + static int afo=0; - NEWDL(dl,n); - dl->td = TD(ndl); - d = dl->d; - if ( nd_isrlex ) - for ( i = 0; i < n; i++ ) - d[i] = (ndl[(n-1-i)/nd_epw+1]>>((nd_epw-((n-1-i)%nd_epw)-1)*nd_bpe)) - &((1<>((nd_epw-(i%nd_epw)-1)*nd_bpe)) - &((1<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); + } + } + } + } + if ( tail ) NEXT(tail) = 0; + d = nd_add(mod,d,r); + nd_mul_c(mod,d,invm(HCM(d),mod)); + return ndtondv(mod,d); } -ND dptond(int mod,DP p) +void nd_gr_recompute_trace(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,LIST *rp) { - ND d; - NM m0,m; - MP t; - int n,l; + VL tv,fv,vv,vc,av; + NODE fd,fd0,r,r0,t,x,s,xx,alist; + int e,max,nvar,i; + NDV b; + int ishomo,nalg; + Alg alpha,dp; + P p,zp; + Q dmy; + LIST f1,f2; + Obj obj; + NumberField nf; + struct order_spec *ord1; + NODE permtrace,intred,ind,perm,trace,ti; + int len,n,j; + NDV *db,*pb; - if ( !p ) - return 0; - n = NV(p); - m0 = 0; - for ( t = BDY(p), l = 0; t; t = NEXT(t), l++ ) { - NEXTNM(m0,m); - if ( mod ) CM(m) = ITOS(C(t)); - else CQ(m) = (Q)C(t); - dltondl(n,DL(t),DL(m)); + parse_nd_option(current_option); + get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc); + for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); + switch ( ord->id ) { + case 1: + if ( ord->nv != nvar ) + error("nd_check : invalid order specification"); + break; + default: + break; + } + nd_init_ord(ord); + nd_bpe = 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; } - NEXT(m) = 0; - MKND(n,m0,l,d); - SG(d) = SG(p); - return d; + n = i+1; + pb = (NDV *)MALLOC(n*sizeof(NDV *)); + for ( t = perm, i = 0; t; t = NEXT(t), i++ ) { + ti = BDY((LIST)BDY(t)); + pb[QTOS((Q)ARG0(ti))] = db[QTOS((Q)ARG1(ti))]; + } + for ( t = trace; 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 ( 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 + BDY(r) = ndvtop(m,CO,vv,pb[QTOS((Q)BDY(t))]); +#else + BDY(r) = ndvtodp(m,pb[QTOS((Q)BDY(t))]); +#endif + } + if ( r0 ) NEXT(r) = 0; + MKLIST(*rp,r0); + if ( DP_Print ) fprintf(asir_out,"\n"); } -DP ndtodp(int mod,ND p) +void nd_gr_trace(LIST f,LIST v,int trace,int homo,int f4,struct order_spec *ord,LIST *rp) { - DP d; - MP m0,m; - NM t; - int n; + 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; - if ( !p ) - return 0; - n = NV(p); - m0 = 0; - for ( t = BDY(p); t; t = NEXT(t) ) { - NEXTMP(m0,m); - if ( mod ) C(m) = STOI(CM(t)); - else C(m) = (P)CQ(t); - DL(m) = ndltodl(n,DL(t)); - } - NEXT(m) = 0; - MKDP(n,m0,d); - SG(d) = SG(p); - return d; + nd_module = 0; + nd_lf = 0; + parse_nd_option(current_option); + if ( nd_lf ) { + if ( f4 ) + nd_f4_lf_trace(f,v,trace,homo,ord,rp); + else + error("nd_gr_trace is not implemented yet over a large finite field"); + return; + } + if ( DP_Multiple ) + nd_scale = ((double)DP_Multiple)/(double)(Denominator?Denominator:1); + + get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc); + for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ ); + switch ( ord->id ) { + case 1: + if ( ord->nv != nvar ) + error("nd_gr_trace : invalid order specification"); + break; + default: + break; + } + + get_algtree((Obj)f,&av); + for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++ ); + nd_ntrans = nvar; + nd_nalg = nalg; + /* #i -> t#i */ + if ( nalg ) { + preprocess_algcoef(vv,av,ord,f,&ord1,&f1,&alist); + ord = ord1; + f = f1; + } + nvar += nalg; + + nocheck = 0; + mindex = 0; + + if ( Demand ) nd_demand = 1; + else nd_demand = 0; + + /* setup modulus */ + if ( trace < 0 ) { + trace = -trace; + nocheck = 1; + } + m = trace > 1 ? trace : get_lprime(mindex); + nd_init_ord(ord); + mrank = 0; + for ( t = BDY(f), max = 1; t; t = NEXT(t) ) + for ( tv = vv; tv; tv = NEXT(tv) ) { + if ( nd_module ) { + 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); + } } -void ndl_print(unsigned int *dl) +/* XXX : module element is not considered */ + +void dltondl(int n,DL dl,UINT *r) { - int n; - int i; + UINT *d; + int i,j,l,s,ord_l; + struct order_pair *op; - n = nd_nvar; - printf("<<"); - if ( nd_isrlex ) - for ( i = 0; i < n; i++ ) - printf(i==n-1?"%d":"%d,", - (dl[(n-1-i)/nd_epw+1]>>((nd_epw-((n-1-i)%nd_epw)-1)*nd_bpe)) - &((1<>((nd_epw-(i%nd_epw)-1)*nd_bpe)) - &((1<>"); + d = dl->d; + for ( i = 0; i < nd_wpd; i++ ) r[i] = 0; + if ( nd_blockmask ) { + l = nd_blockmask->n; + op = nd_blockmask->order_pair; + for ( j = 0, s = 0; j < l; j++ ) { + ord_l = op[j].length; + for ( i = 0; i < ord_l; i++, s++ ) PUT_EXP(r,s,d[s]); + } + TD(r) = ndl_weight(r); + ndl_weight_mask(r); + } else { + for ( i = 0; i < n; i++ ) PUT_EXP(r,i,d[i]); + TD(r) = ndl_weight(r); + } } +DL ndltodl(int n,UINT *ndl) +{ + DL dl; + int *d; + int i,j,l,s,ord_l; + struct order_pair *op; + + NEWDL(dl,n); + dl->td = TD(ndl); + d = dl->d; + if ( nd_blockmask ) { + l = nd_blockmask->n; + op = nd_blockmask->order_pair; + for ( j = 0, s = 0; j < l; j++ ) { + ord_l = op[j].length; + for ( i = 0; i < ord_l; i++, s++ ) d[s] = GET_EXP(ndl,s); + } + } else { + for ( i = 0; i < n; i++ ) d[i] = GET_EXP(ndl,i); + } + return dl; +} + +void nmtodp(int mod,NM m,DP *r) +{ + DP dp; + MP mr; + + NEWMP(mr); + mr->dl = ndltodl(nd_nvar,DL(m)); + mr->c = (Obj)ndctop(mod,m->c); + NEXT(mr) = 0; MKDP(nd_nvar,mr,dp); dp->sugar = mr->dl->td; + *r = dp; +} + +void ndl_print(UINT *dl) +{ + int n; + int i,j,l,ord_l,s,s0; + struct order_pair *op; + + n = nd_nvar; + printf("<<"); + if ( nd_blockmask ) { + l = nd_blockmask->n; + op = nd_blockmask->order_pair; + for ( j = 0, s = s0 = 0; j < l; j++ ) { + ord_l = op[j].length; + for ( i = 0; i < ord_l; i++, s++ ) + printf(s==n-1?"%d":"%d,",GET_EXP(dl,s)); + } + } else { + for ( i = 0; i < n; i++ ) printf(i==n-1?"%d":"%d,",GET_EXP(dl,i)); + } + printf(">>"); + if ( nd_module && MPOS(dl) ) + printf("*e%d",MPOS(dl)); +} + void nd_print(ND p) { - NM m; + NM m; - if ( !p ) - printf("0\n"); - else { - for ( m = BDY(p); m; m = NEXT(m) ) { - printf("+%d*",CM(m)); - ndl_print(DL(m)); - } - printf("\n"); - } + if ( !p ) + printf("0\n"); + else { + for ( m = BDY(p); m; m = NEXT(m) ) { + if ( CM(m) & 0x80000000 ) printf("+@_%d*",IFTOF(CM(m))); + else printf("+%d*",CM(m)); + ndl_print(DL(m)); + } + printf("\n"); + } } void nd_print_q(ND p) { - NM m; + NM m; - if ( !p ) - printf("0\n"); - else { - for ( m = BDY(p); m; m = NEXT(m) ) { - printf("+"); - printexpr(CO,CQ(m)); - printf("*"); - ndl_print(DL(m)); - } - printf("\n"); - } + if ( !p ) + printf("0\n"); + else { + for ( m = BDY(p); m; m = NEXT(m) ) { + printf("+"); + printexpr(CO,(Obj)CQ(m)); + printf("*"); + ndl_print(DL(m)); + } + printf("\n"); + } } void ndp_print(ND_pairs d) { - ND_pairs t; + ND_pairs t; - for ( t = d; t; t = NEXT(t) ) printf("%d,%d ",t->i1,t->i2); - printf("\n"); + for ( t = d; t; t = NEXT(t) ) printf("%d,%d ",t->i1,t->i2); + printf("\n"); } void nd_removecont(int mod,ND p) { - int i,n; - Q *w; - Q dvr,t; - NM m; - struct oVECT v; - N q,r; + int i,n; + Q *w; + Q dvr,t; + NM m; + struct oVECT v; + N q,r; - if ( mod ) nd_mul_c(mod,p,invm(HCM(p),mod)); - else { - for ( m = BDY(p), n = 0; m; m = NEXT(m), n++ ); - w = (Q *)ALLOCA(n*sizeof(Q)); - v.len = n; - v.body = (pointer *)w; - for ( m = BDY(p), i = 0; i < n; m = NEXT(m), i++ ) w[i] = CQ(m); - removecont_array(w,n); - for ( m = BDY(p), i = 0; i < n; m = NEXT(m), i++ ) CQ(m) = w[i]; - } + 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_removecont2(ND p1,ND p2) { - int i,n1,n2,n; - Q *w; - Q dvr,t; - NM m; - struct oVECT v; - N q,r; + int i,n1,n2,n; + Q *w; + Q dvr,t; + NM m; + struct oVECT v; + N q,r; - if ( !p1 ) { - nd_removecont(0,p2); return; - } else if ( !p2 ) { - nd_removecont(0,p1); return; - } - n1 = nd_length(p1); - n2 = nd_length(p2); - n = n1+n2; - w = (Q *)ALLOCA(n*sizeof(Q)); - v.len = n; - v.body = (pointer *)w; - for ( m = BDY(p1), i = 0; i < n1; m = NEXT(m), i++ ) w[i] = CQ(m); - for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) w[i] = CQ(m); - removecont_array(w,n); - for ( m = BDY(p1), i = 0; i < n1; m = NEXT(m), i++ ) CQ(m) = w[i]; - for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) CQ(m) = w[i]; + n1 = nd_length(p1); + n2 = nd_length(p2); + n = n1+n2; + w = (Q *)MALLOC(n*sizeof(Q)); + v.len = n; + v.body = (pointer *)w; + i = 0; + if ( p1 ) + for ( m = BDY(p1); i < n1; m = NEXT(m), i++ ) w[i] = 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; - Q *w; - Q dvr,t; - NMV m; + int i,len,all_p; + Q *c; + P *w; + Q dvr,t; + P g,cont,tp; + NMV m; - if ( mod ) - ndv_mul_c(mod,p,invm(HCM(p),mod)); - else { - len = p->len; - w = (Q *)ALLOCA(len*sizeof(Q)); - for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) w[i] = CQ(m); - sortbynm(w,len); - qltozl(w,len,&dvr); - for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) { - divq(CQ(m),dvr,&t); CQ(m) = t; - } - } + 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; + } + } + } } -void ndv_dehomogenize(NDV p) +/* koko */ + +void ndv_homogenize(NDV p,int obpe,int oadv,EPOS oepos,int ompos) { - int i,len,newnvar,newwpd,newadv; - Q *w; - Q dvr,t; - NMV m,r; - unsigned int *d; -#define NEWADV(m) (m = (NMV)(((char *)m)+newadv)) + int len,i,max; + NMV m,mr0,mr,t; - len = p->len; - newnvar = nd_nvar-1; - newwpd = newnvar/nd_epw+(newnvar%nd_epw?1:0); - for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) - ndl_dehomogenize(DL(m)); - if ( newwpd != nd_wpd ) { - d = (unsigned int *)ALLOCA((newwpd+1)*sizeof(unsigned int)); - newadv = sizeof(struct oNMV)+newwpd*sizeof(unsigned int); - for ( m = r = BDY(p), i = 0; i < len; NMV_ADV(m), NEWADV(r), i++ ) { - CQ(r) = CQ(m); ndl_copy(DL(m),d); ndl_copy(d,DL(r)); - } - } - NV(p)--; + 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 removecont_array(Q *c,int n) +void ndv_dehomogenize(NDV p,struct order_spec *ord) { - struct oVECT v; - Q d0,d1,a,u,u1,gcd; - int i; - N qn,rn,gn; - Q *q,*r; + int i,j,adj,len,newnvar,newwpd,newadv,newexporigin,newmpos; + int pos; + Q *w; + Q dvr,t; + NMV m,r; - q = (Q *)ALLOCA(n*sizeof(Q)); - r = (Q *)ALLOCA(n*sizeof(Q)); - v.id = O_VECT; v.len = n; v.body = (pointer *)c; - igcdv_estimate(&v,&d0); - for ( i = 0; i < n; i++ ) { - divn(NM(c[i]),NM(d0),&qn,&rn); - NTOQ(qn,SGN(c[i])*SGN(d0),q[i]); - NTOQ(rn,SGN(c[i]),r[i]); - } - for ( i = 0; i < n; i++ ) if ( r[i] ) break; - if ( i < n ) { - v.id = O_VECT; v.len = n; v.body = (pointer *)r; - igcdv(&v,&d1); - gcdn(NM(d0),NM(d1),&gn); NTOQ(gn,1,gcd); - divsn(NM(d0),gn,&qn); NTOQ(qn,1,a); - for ( i = 0; i < n; i++ ) { - mulq(a,q[i],&u); - if ( r[i] ) { - divsn(NM(r[i]),gn,&qn); NTOQ(qn,SGN(r[i]),u1); - addq(u,u1,&q[i]); - } else - q[i] = u; - } - } - for ( i = 0; i < n; i++ ) c[i] = q[i]; + 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; + NM m; + int c,c1; - if ( !p ) return; - for ( m = BDY(p); m; m = NEXT(m) ) { - c1 = CM(m); - DMAR(c1,mul,0,mod,c); - CM(m) = c; - } + if ( !p ) return; + if ( mul == 1 ) return; + if ( mod == -1 ) + for ( m = BDY(p); m; m = NEXT(m) ) + CM(m) = _mulsf(CM(m),mul); + else + for ( m = BDY(p); m; m = NEXT(m) ) { + c1 = CM(m); DMAR(c1,mul,0,mod,c); CM(m) = c; + } } -void nd_mul_c_q(ND p,Q mul) +void nd_mul_c_lf(ND p,GZ mul) { - NM m; - Q c; + NM m; + GZ c; - if ( !p ) return; - for ( m = BDY(p); m; m = NEXT(m) ) { - mulq(CQ(m),mul,&c); CQ(m) = 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) { - NM t,s; + NM t,s; - if ( !p ) return; - t = BDY(p); - while ( t ) { - s = NEXT(t); - FREENM(t); - t = s; - } - FREEND(p); + if ( !p ) return; + t = BDY(p); + while ( t ) { + s = NEXT(t); + FREENM(t); + t = s; + } + FREEND(p); } void ndv_free(NDV p) { - GC_free(BDY(p)); + GCFREE(BDY(p)); } -void nd_append_red(unsigned int *d,int i) +void nd_append_red(UINT *d,int i) { - RHist m,m0; - int h; + RHist m,m0; + int h; - NEWRHist(m); - h = ndl_hash_value(d); - m->index = i; - ndl_copy(d,DL(m)); - NEXT(m) = nd_red[h]; - nd_red[h] = m; + NEWRHist(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; - MP m; - int i,l; + UINT *d1,*d2,*t; + UINT u; + int i,j,k,l,len,ind; + NMV m; - if ( !p ) - return 0; - d1 = (unsigned int *)ALLOCA(nd_nvar*sizeof(unsigned int)); - d2 = (unsigned int *)ALLOCA(nd_nvar*sizeof(unsigned int)); - m = BDY(p); - d = DL(m)->d; - for ( i = 0; i < nd_nvar; i++ ) d1[i] = d[i]; - for ( m = NEXT(BDY(p)); m; m = NEXT(m) ) { - d = DL(m)->d; - for ( i = 0; i < nd_nvar; i++ ) - d2[i] = d[i] > d1[i] ? d[i] : d1[i]; - t = d1; d1 = d2; d2 = t; - } - l = (nd_nvar+31); - t = (unsigned int *)MALLOC_ATOMIC(l*sizeof(unsigned int)); - for ( i = 0; i < nd_nvar; i++ ) t[i] = d1[i]; - for ( ; i < l; i++ ) t[i] = 0; - return t; + if ( !p ) + return 0; + d1 = (UINT *)MALLOC(nd_wpd*sizeof(UINT)); + d2 = (UINT *)MALLOC(nd_wpd*sizeof(UINT)); + len = LEN(p); + m = BDY(p); ndl_copy(DL(m),d1); NMV_ADV(m); + for ( i = 1; i < len; i++, NMV_ADV(m) ) { + ndl_max(DL(m),d1,d2); + t = d1; d1 = d2; d2 = t; + } + l = nd_nvar+31; + t = (UINT *)MALLOC_ATOMIC(l*sizeof(UINT)); + for ( i = nd_exporigin, ind = 0; i < nd_wpd; i++ ) { + u = d1[i]; + k = (nd_epw-1)*nd_bpe; + for ( j = 0; j < nd_epw; j++, k -= nd_bpe, ind++ ) + t[ind] = (u>>k)&nd_mask0; + } + for ( ; ind < l; ind++ ) t[ind] = 0; + return t; } -unsigned int *nd_compute_bound(ND p) +UINT *nd_compute_bound(ND p) { - unsigned int *d1,*d2,*t; - int i,l; - NM m; + UINT *d1,*d2,*t; + UINT u; + int i,j,k,l,len,ind; + NM m; - if ( !p ) - return 0; - d1 = (unsigned int *)ALLOCA(nd_wpd*sizeof(unsigned int)); - d2 = (unsigned int *)ALLOCA(nd_wpd*sizeof(unsigned int)); - ndl_copy(HDL(p),d1); - for ( m = NEXT(BDY(p)); m; m = NEXT(m) ) { - ndl_lcm(DL(m),d1,d2); - t = d1; d1 = d2; d2 = t; - } - l = nd_nvar+31; - t = (unsigned int *)MALLOC_ATOMIC(l*sizeof(unsigned int)); - for ( i = 0; i < l; i++ ) t[i] = 0; - for ( i = 0; i < nd_nvar; i++ ) - t[i] = (d1[i/nd_epw+1]>>((nd_epw-(i%nd_epw)-1)*nd_bpe))&nd_mask0; - for ( ; i < l; i++ ) t[i] = 0; - return t; + if ( !p ) + return 0; + d1 = (UINT *)MALLOC(nd_wpd*sizeof(UINT)); + d2 = (UINT *)MALLOC(nd_wpd*sizeof(UINT)); + len = LEN(p); + m = BDY(p); ndl_copy(DL(m),d1); m = NEXT(m); + for ( m = NEXT(m); m; m = NEXT(m) ) { + ndl_lcm(DL(m),d1,d2); + t = d1; d1 = d2; d2 = t; + } + l = nd_nvar+31; + t = (UINT *)MALLOC_ATOMIC(l*sizeof(UINT)); + for ( i = nd_exporigin, ind = 0; i < nd_wpd; i++ ) { + u = d1[i]; + k = (nd_epw-1)*nd_bpe; + for ( j = 0; j < nd_epw; j++, k -= nd_bpe, ind++ ) + t[ind] = (u>>k)&nd_mask0; + } + for ( ; ind < l; ind++ ) t[ind] = 0; + return t; } -void nd_setup_parameters() { - int i; +/* if nd_module == 1 then d[nd_exporigin-1] indicates the position */ +/* of a term. In this case we need additional 1 word. */ - nd_epw = (sizeof(unsigned int)*8)/nd_bpe; - nd_wpd = nd_nvar/nd_epw+(nd_nvar%nd_epw?1:0); - if ( nd_bpe < 32 ) { - nd_mask0 = (1<id ) { + case 0: case 2: case 256: case 258: + return 1+nd_module; + case 1: case 257: + /* block order */ + /* poly ring d[0]:weight d[1]:w0,...,d[nd_exporigin-1]:w(n-1) */ + /* module d[0]:weight d[1]:w0,...,d[nd_exporigin-2]:w(n-1) */ + return ord->ord.block.length+1+nd_module; + case 3: case 259: +#if 0 + error("nd_get_exporigin : composite order is not supported yet."); +#else + return 1+nd_module; +#endif + } } -/* mod < 0 => realloc nd_ps and pd_psq */ +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_pairs nd_reconstruct(int mod,int trace,ND_pairs d) + 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<= 0; i-- ) ndv_realloc(nd_ps[i],obpe,oadv); - if ( !mod || trace ) - for ( i = nd_psn-1; i >= 0; i-- ) ndv_realloc(nd_psq[i],obpe,oadv); - 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_dup(obpe,LCM(t),LCM(s)); - } - - old_red = (RHist *)ALLOCA(REDTAB_LEN*sizeof(RHist)); - for ( i = 0; i < REDTAB_LEN; i++ ) { - old_red[i] = nd_red[i]; - nd_red[i] = 0; - } - for ( i = 0; i < REDTAB_LEN; i++ ) - for ( r = old_red[i]; r; r = NEXT(r) ) { - NEWRHist(mr); - mr->index = r->index; - SG(mr) = SG(r); - ndl_dup(obpe,DL(r),DL(mr)); - h = ndl_hash_value(DL(mr)); - NEXT(mr) = nd_red[h]; - nd_red[h] = mr; - } - for ( i = 0; i < REDTAB_LEN; i++ ) old_red[i] = 0; - old_red = 0; - for ( i = 0; i < nd_psn; i++ ) { - NEWRHist(r); SG(r) = SG(nd_psh[i]); - ndl_dup(obpe,DL(nd_psh[i]),DL(r)); - nd_psh[i] = r; - } - if ( s0 ) NEXT(s) = 0; - prev_nm_free_list = 0; - prev_ndp_free_list = 0; - GC_gcollect(); - return s0; + 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 nd_reconstruct_direct(int mod,NDV *ps,int len) +void ndl_reconstruct(UINT *d,UINT *r,int obpe,EPOS oepos) { - int i,obpe,oadv,h; - NM prev_nm_free_list; - RHist mr0,mr; - RHist r; - RHist *old_red; - ND_pairs s0,s,t,prev_ndp_free_list; + int n,i,ei,oepw,omask0,j,s,ord_l,l; + struct order_pair *op; - obpe = nd_bpe; - oadv = nmv_adv; - if ( obpe < 4 ) nd_bpe = 4; - else if ( obpe < 6 ) nd_bpe = 6; - else if ( obpe < 8 ) nd_bpe = 8; - else if ( obpe < 16 ) nd_bpe = 16; - else if ( obpe < 32 ) nd_bpe = 32; - else error("nd_reconstruct_direct : exponent too large"); + n = nd_nvar; + oepw = (sizeof(UINT)*8)/obpe; + omask0 = (1<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_setup_parameters(); - prev_nm_free_list = _nm_free_list; - prev_ndp_free_list = _ndp_free_list; - _nm_free_list = 0; _ndp_free_list = 0; - if ( mod != 0 ) - for ( i = len-1; i >= 0; i-- ) ndv_realloc(ps[i],obpe,oadv); - old_red = (RHist *)ALLOCA(REDTAB_LEN*sizeof(RHist)); - for ( i = 0; i < REDTAB_LEN; i++ ) { - old_red[i] = nd_red[i]; - nd_red[i] = 0; - } - for ( i = 0; i < REDTAB_LEN; i++ ) - for ( r = old_red[i]; r; r = NEXT(r) ) { - NEWRHist(mr); - mr->index = r->index; - SG(mr) = SG(r); - ndl_dup(obpe,DL(r),DL(mr)); - h = ndl_hash_value(DL(mr)); - NEXT(mr) = nd_red[h]; - nd_red[h] = mr; - } - for ( i = 0; i < REDTAB_LEN; i++ ) old_red[i] = 0; - old_red = 0; - prev_nm_free_list = 0; - prev_ndp_free_list = 0; - GC_gcollect(); +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; + } } -void ndl_dup(int obpe,unsigned int *d,unsigned int *r) +int nd_sp(int mod,int trace,ND_pairs p,ND *rp) { - int n,i,ei,oepw,cepw,cbpe; + 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; - n = nd_nvar; - oepw = (sizeof(unsigned int)*8)/obpe; - cepw = nd_epw; - cbpe = nd_bpe; - TD(r) = TD(d); - for ( i = 1; i <= nd_wpd; i++ ) r[i] = 0; - if ( nd_isrlex ) - for ( i = 0; i < n; i++ ) { - ei = (d[(n-1-i)/oepw+1]>>((oepw-((n-1-i)%oepw)-1)*obpe)) - &((1<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 - for ( i = 0; i < n; i++ ) { - ei = (d[i/oepw+1]>>((oepw-(i%oepw)-1)*obpe)) - &((1<= 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); + } + } } -void nd_realloc(ND p,int obpe) +ND ndv_mul_nm_symbolic(NM m0,NDV p) { - NM m,mr,mr0; + NM mr,mr0; + NMV m; + UINT *d,*dt,*dm; + int c,n,td,i,c1,c2,len; + Q q; + ND r; - if ( p ) { - m = BDY(p); - for ( mr0 = 0; m; m = NEXT(m) ) { - NEXTNM(mr0,mr); - CM(mr) = CM(m); - ndl_dup(obpe,DL(m),DL(mr)); - } - NEXT(mr) = 0; - BDY(p) = mr0; - } + 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 nd_copy(ND p) +ND ndv_mul_nm(int mod,NM m0,NDV p) { - NM m,mr,mr0; - int c,n,s; - ND r; + 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 { - s = sizeof(struct oNM)+nd_wpd*sizeof(unsigned int); - for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) { - NEXTNM(mr0,mr); - CM(mr) = CM(m); - ndl_copy(DL(m),DL(mr)); - } - NEXT(mr) = 0; - MKND(NV(p),mr0,LEN(p),r); - SG(r) = SG(p); - return 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; + } } -int nd_sp(int mod,ND_pairs p,ND *rp) +ND nd_quo(int mod,PGeoBucket bucket,NDV d) { - NM m; - NDV p1,p2; - ND t1,t2; - unsigned int *lcm; - int td; + NM mq0,mq; + NMV tm; + Q q; + int i,nv,sg,c,c1,c2,hindex; + ND p,t,r; + N tnm; - if ( mod ) { - p1 = nd_ps[p->i1]; p2 = nd_ps[p->i2]; - } else { - p1 = nd_psq[p->i1]; p2 = nd_psq[p->i2]; - } - lcm = LCM(p); - NEWNM(m); - CQ(m) = HCQ(p2); - ndl_sub(lcm,HDL(p1),DL(m)); - if ( ndl_check_bound2(p->i1,DL(m)) ) return 0; - t1 = ndv_mul_nm(mod,p1,m); - if ( mod ) CM(m) = mod-HCM(p1); - else chsgnq(HCQ(p1),&CQ(m)); - ndl_sub(lcm,HDL(p2),DL(m)); - if ( ndl_check_bound2(p->i2,DL(m)) ) { - nd_free(t1); - return 0; - } - t2 = ndv_mul_nm(mod,p2,m); - *rp = nd_add(mod,t1,t2); - FREENM(m); - return 1; + 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_mul_c(int mod,NDV p,int mul) +void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos) { - NMV m; - int c,c1,len,i; + NMV m,mr,mr0,t; + int len,i,k; - if ( !p ) return; + 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 ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) { - c1 = CM(m); DMAR(c1,mul,0,mod,c); CM(m) = c; - } + for ( t = BDY(r), i = 0; i < len; i++, NMV_ADV(t) ) CZ(t) = ztogz(CQ(t)); + return r; } -void ndv_mul_c_q(NDV p,Q mul) +NDV ndvgztondv(NDV p) { - NMV m; - Q c; + NDV r; int len,i; + NMV t; - if ( !p ) return; + r = ndv_dup(0,p); len = LEN(p); - for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) { - mulq(CQ(m),mul,&c); CQ(m) = c; - } + for ( t = BDY(r), i = 0; i < len; i++, NMV_ADV(t) ) CQ(t) = gztoz(CZ(t)); + return r; } -ND ndv_mul_nm(int mod,NDV p,NM m0) +NDV ndv_symbolic(int mod,NDV p) { - NM mr,mr0; - NMV m; - unsigned int *d,*dt,*dm; - int c,n,td,i,c1,c2,len; - Q q; + 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; - if ( !p ) return 0; - else { - n = NV(p); m = BDY(p); - d = DL(m0); - len = LEN(p); - mr0 = 0; - td = TD(d); - 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)); + 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 + 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__) + +#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; } + } + if ( DP_Print ) { + fprintf(asir_out,"-"); fflush(asir_out); + } + return maxrs; +} + +int ndv_reduce_vect(int m,UINT *svect,int col,IndArray *imat,NM_ind_pair *rp0,int nred) +{ + int i,j,k,len,pos,prev; + UINT c,c1,c2,c3,up,lo,dmy; + IndArray ivect; + unsigned char *ivc; + unsigned short *ivs; + unsigned int *ivi; + NDV redv; + NMV mr; + NODE rp; + int maxrs; + + maxrs = 0; + for ( i = 0; i < nred; i++ ) { + ivect = imat[i]; + k = ivect->head; svect[k] %= m; + if ( c = svect[k] ) { + maxrs = MAX(maxrs,rp0[i]->sugar); + c = m-c; redv = nd_ps[rp0[i]->index]; + len = LEN(redv); mr = BDY(redv); + svect[k] = 0; prev = k; + switch ( ivect->width ) { + case 1: + ivc = ivect->index.c; + for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { + pos = prev+ivc[j]; c1 = CM(mr); 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__) + +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 + +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; +} + +ND nd_add_lf(ND p1,ND p2) +{ + int n,c,can; + ND r; + NM m1,m2,mr0,mr,s; + GZ t; + + if ( !p1 ) return p2; + else if ( !p2 ) return p1; + else { + can = 0; + for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) { + c = DL_COMPARE(DL(m1),DL(m2)); + switch ( c ) { + case 0: + addlf(CZ(m1),CZ(m2),&t); + s = m1; m1 = NEXT(m1); + if ( t ) { + can++; NEXTNM2(mr0,mr,s); CZ(mr) = (t); + } else { + can += 2; FREENM(s); + } + s = m2; m2 = NEXT(m2); FREENM(s); + break; + case 1: + s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s); + break; + case -1: + s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s); + break; + } + } + if ( !mr0 ) + if ( m1 ) mr0 = m1; + else if ( m2 ) mr0 = m2; + else return 0; + else if ( m1 ) NEXT(mr) = m1; + else if ( m2 ) NEXT(mr) = m2; + else NEXT(mr) = 0; + BDY(p1) = mr0; + SG(p1) = MAX(SG(p1),SG(p2)); + LEN(p1) = LEN(p1)+LEN(p2)-can; + FREEND(p2); + return p1; + } +} + +int ndv_reduce_vect_lf(mpz_t *svect,int trace,int col,IndArray *imat,NM_ind_pair *rp0,int nred) +{ + int i,j,k,len,pos,prev; + mpz_t c,mc,c1; + IndArray ivect; + unsigned char *ivc; + unsigned short *ivs; + unsigned int *ivi; + NDV redv; + NMV mr; + NODE rp; + int maxrs; + + maxrs = 0; + lf_lazy = 1; + for ( i = 0; i < nred; i++ ) { + ivect = imat[i]; + k = ivect->head; + mpz_mod(svect[k],svect[k],BDY(current_mod_lf)); + if ( mpz_sgn(svect[k]) ) { + maxrs = MAX(maxrs,rp0[i]->sugar); + mpz_neg(svect[k],svect[k]); + redv = trace?nd_ps_trace[rp0[i]->index]:nd_ps[rp0[i]->index]; + len = LEN(redv); mr = BDY(redv); + prev = k; + switch ( ivect->width ) { + case 1: + ivc = ivect->index.c; + for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { + pos = prev+ivc[j]; prev = pos; + mpz_addmul(svect[pos],svect[k],BDY(CZ(mr))); + } + break; + case 2: + ivs = ivect->index.s; + for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { + pos = prev+ivs[j]; prev = pos; + mpz_addmul(svect[pos],svect[k],BDY(CZ(mr))); + } + break; + case 4: + ivi = ivect->index.i; + for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) { + pos = prev+ivi[j]; prev = pos; + mpz_addmul(svect[pos],svect[k],BDY(CZ(mr))); + } + break; + } + mpz_set_ui(svect[k],0); + } + } + lf_lazy=0; + for ( i = 0; i < col; i++ ) { + mpz_mod(svect[i],svect[i],BDY(current_mod_lf)); + } + return maxrs; +} + +int nd_gauss_elim_lf(mpz_t **mat0,int *sugar,int row,int col,int *colstat) +{ + int i,j,k,l,rank,s; + mpz_t a,a1,inv; + mpz_t *t,*pivot,*pk; + mpz_t **mat; + struct oEGT eg0,eg1,eg_forward,eg_mod,eg_back; + int size,size1; + + mpz_init(inv); + mpz_init(a); + mat = (mpz_t **)mat0; + size = 0; + for ( rank = 0, j = 0; j < col; j++ ) { + for ( i = rank; i < row; i++ ) { + mpz_mod(mat[i][j],mat[i][j],BDY(current_mod_lf)); + } + for ( i = rank; i < row; i++ ) + if ( mpz_sgn(mat[i][j]) ) + break; + if ( i == row ) { + colstat[j] = 0; + continue; + } else + colstat[j] = 1; + if ( i != rank ) { + t = mat[i]; mat[i] = mat[rank]; mat[rank] = t; + s = sugar[i]; sugar[i] = sugar[rank]; sugar[rank] = s; + } + pivot = mat[rank]; + s = sugar[rank]; + mpz_invert(inv,pivot[j],BDY(current_mod_lf)); + for ( k = j, pk = pivot+k; k < col; k++, pk++ ) + if ( mpz_sgn(*pk) ) { + mpz_mul(a,*pk,inv); mpz_mod(*pk,a,BDY(current_mod_lf)); + } + for ( i = rank+1; i < row; i++ ) { + t = mat[i]; + if ( mpz_sgn(t[j]) ) { + sugar[i] = MAX(sugar[i],s); + mpz_neg(a,t[j]); + red_by_vect_lf(t+j,pivot+j,a,col-j); + } + } + rank++; + } + for ( j = col-1, l = rank-1; j >= 0; j-- ) + if ( colstat[j] ) { + pivot = mat[l]; + s = sugar[l]; + for ( k = j; k < col; k++ ) + mpz_mod(pivot[k],pivot[k],BDY(current_mod_lf)); + for ( i = 0; i < l; i++ ) { + t = mat[i]; + if ( mpz_sgn(t[j]) ) { + sugar[i] = MAX(sugar[i],s); + mpz_neg(a,t[j]); + red_by_vect_lf(t+j,pivot+j,a,col-j); + } + } + l--; + } + for ( j = 0, l = 0; l < rank; j++ ) + if ( colstat[j] ) { + t = mat[l]; + for ( k = j; k < col; k++ ) { + mpz_mod(t[k],t[k],BDY(current_mod_lf)); + } + l++; + } + return rank; +} + + +NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhead,UINT *s0vect) +{ + int j,k,len; + UINT *p; + UINT c; + NDV r; + NMV mr0,mr; + + for ( j = 0, len = 0; j < spcol; j++ ) if ( vect[j] ) len++; + if ( !len ) return 0; + else { + mr0 = (NMV)MALLOC_ATOMIC_IGNORE_OFF_PAGE(nmv_adv*len); +#if 0 + ndv_alloc += nmv_adv*len; +#endif + mr = mr0; + p = s0vect; + for ( j = k = 0; j < col; j++, p += nd_wpd ) + if ( !rhead[j] ) { + if ( c = vect[k++] ) { + ndl_copy(p,DL(mr)); CM(mr) = c; NMV_ADV(mr); + } + } + MKNDV(nd_nvar,mr0,len,r); + return r; + } +} + +#if defined(__GNUC__) +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 + ps = trace?nd_ps_trace:nd_ps; + while ( 1 ) { + head = remove_head_pbucket_symbolic(bucket); + if ( !head ) break; + if ( !s0 ) s0 = head; + else NEXT(s) = head; + s = head; + index = ndl_find_reducer(DL(head)); + if ( index >= 0 ) { + h = nd_psh[index]; + NEWNM(mul); + ndl_sub(DL(head),DL(h),DL(mul)); + if ( ndl_check_bound2(index,DL(mul)) ) + return 0; + sugar = TD(DL(mul))+SG(ps[index]); + MKNM_ind_pair(pair,mul,index,sugar); + red = ndv_mul_nm_symbolic(mul,ps[index]); + add_pbucket_symbolic(bucket,nd_remove_head(red)); + NEXTNODE(rp0,rp); BDY(rp) = (pointer)pair; + } + col++; + } + if ( rp0 ) NEXT(rp) = 0; + NEXT(s) = 0; + s0v = (UINT *)MALLOC_ATOMIC(col*nd_wpd*sizeof(UINT)); + for ( i = 0, p = s0v, s = s0; i < col; + i++, p += nd_wpd, s = NEXT(s) ) ndl_copy(DL(s),p); + *s0vect = s0v; + *r = rp0; + return col; +} + +NODE nd_f4(int m,int checkonly,int **indp) +{ + int i,nh,stat,index,f4red; + NODE r,g,tn0,tn,node; + 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; + + nf1 = ndvtond(m,nf); + nd_monic(0,&nf1); + nd_removecont(m,nf1); + nf = ndtondv(m,nf1); + } + nh = ndv_newps(m,nf,0,1); + if ( !nd_nzlist ) d = update_pairs(d,g,nh,0); + g = update_base(g,nh); + } + if ( DP_Print ) { + fprintf(asir_out,"f4red=%d,gblen=%d\n",f4red,length(g)); fflush(asir_out); + } + if ( nd_gentrace ) { + for ( t = ll, tn0 = 0; t; t = NEXT(t) ) { + NEXTNODE(tn0,tn); + STOQ(t->i1,i1); STOQ(t->i2,i2); + node = mknode(2,i1,i2); MKLIST(l0,node); + BDY(tn) = l0; } - } else { - q = CQ(m0); - for ( i = 0; i < len; i++, NMV_ADV(m) ) { - NEXTNM(mr0,mr); - mulq(CQ(m),q,&CQ(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; + 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; } -void ndv_realloc(NDV p,int obpe,int oadv) +void print_matrix(matrix mat) { - NMV m,mr,mr0,t; - int len,i,k; + int row,col,i,j; + unsigned long *ai; -#define NMV_OPREV(m) (m = (NMV)(((char *)m)-oadv)) -#define NMV_PREV(m) (m = (NMV)(((char *)m)-nmv_adv)) + row = mat->row; + col = mat->col; + printf("%d x %d\n",row,col); + for ( i = 0; i < row; i++ ) { + ai = mat->a[i]; + for ( j = 0; j < col; j++ ) { + if ( ai[j/BLEN] & (1L<<(j%BLEN)) ) putchar('1'); + else putchar('0'); + } + putchar('\n'); + } +} - if ( p ) { - m = BDY(p); len = LEN(p); - mr0 = nmv_adv>oadv?(NMV)REALLOC(BDY(p),len*nmv_adv):BDY(p); - m = (NMV)((char *)mr0+(len-1)*oadv); - mr = (NMV)((char *)mr0+(len-1)*nmv_adv); - t = (NMV)ALLOCA(nmv_adv); - for ( i = 0; i < len; i++, NMV_OPREV(m), NMV_PREV(mr) ) { - CQ(t) = CQ(m); - for ( k = 0; k < nd_wpd; k++ ) DL(t)[k] = 0; - ndl_dup(obpe,DL(m),DL(t)); - CQ(mr) = CQ(t); - ndl_copy(DL(t),DL(mr)); +NDV vect_to_ndv_2(unsigned long *vect,int col,UINT *s0vect); + +void red_by_vect_2(matrix mat,int *sugar,unsigned long *v,int rhead,int rsugar) +{ + int row,col,wcol,wj,i,j; + unsigned long bj; + unsigned long *ai; + unsigned long **a; + int len; + int *pos; + + row = mat->row; + col = mat->col; + wcol = (col+BLEN-1)/BLEN; + pos = (int *)MALLOC(wcol*sizeof(int)); + bzero(pos,wcol*sizeof(int)); + for ( i = j = 0; i < wcol; i++ ) + if ( v[i] ) pos[j++] = i;; + len = j; + wj = rhead/BLEN; + bj = 1L<a; + for ( i = 0; i < row; i++ ) { + ai = a[i]; + if ( ai[wj]&bj ) { + for ( j = 0; j < len; j++ ) + ai[pos[j]] ^= v[pos[j]]; + sugar[i] = MAX(sugar[i],rsugar); + } + } +} + +NODE nd_f4_red_2(ND_pairs sp0,UINT *s0vect,int col,NODE rp0,ND_pairs *nz) +{ + int nsp,nred,i,i0,k,rank,row; + NODE r0,rp; + ND_pairs sp; + ND spol; + NM_ind_pair rt; + int *s0hash; + UINT *s; + int *pivot,*sugar,*head; + matrix mat; + NM m; + NODE r; + struct oEGT eg0,eg1,eg2,eg_elim1,eg_elim2; + int rhead,rsugar,size; + unsigned long *v; + + get_eg(&eg0); +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++; } - BDY(p) = mr0; } + mat->row = i; + if ( DP_Print ) { + fprintf(asir_out,"%dx%d,",mat->row,mat->col); fflush(asir_out); + } + size = ((col+BLEN-1)/BLEN)*sizeof(unsigned long); + v = CALLOC((col+BLEN-1)/BLEN,sizeof(unsigned long)); + for ( rp = rp0, i = 0; rp; rp = NEXT(rp), i++ ) { + rt = (NM_ind_pair)BDY(rp); + bzero(v,size); + rhead = nd_nm_to_vect_2(s0vect,col,s0hash,nd_ps[rt->index],rt->mul,v); + rsugar = SG(nd_ps[rt->index])+TD(DL(rt->mul)); + red_by_vect_2(mat,sugar,v,rhead,rsugar); + } + + get_eg(&eg1); + init_eg(&eg_elim1); add_eg(&eg_elim1,&eg0,&eg1); + rank = rref(mat,sugar); + + for ( i = 0, r0 = 0; i < rank; i++ ) { + NEXTNODE(r0,r); + BDY(r) = (pointer)vect_to_ndv_2(mat->a[i],col,s0vect); + SG((NDV)BDY(r)) = sugar[i]; + } + if ( r0 ) NEXT(r) = 0; + get_eg(&eg2); + init_eg(&eg_elim2); add_eg(&eg_elim2,&eg1,&eg2); + if ( DP_Print ) { + fprintf(asir_out,"elim1=%.3fsec,elim2=%.3fsec,", + eg_elim1.exectime+eg_elim1.gctime,eg_elim2.exectime+eg_elim2.gctime); + fflush(asir_out); + } + return r0; } -NDV ndtondv(int mod,ND p) + +NODE nd_f4_red(int m,ND_pairs sp0,int trace,UINT *s0vect,int col,NODE rp0,ND_pairs *nz) { - NDV d; - NMV m,m0; - NM t; - int i,len; + IndArray *imat; + int nsp,nred,i; + int *rhead; + NODE r0,rp; + ND_pairs sp; + NM_ind_pair *rvect; + UINT *s; + int *s0hash; - if ( !p ) return 0; - len = LEN(p); - m0 = m = (NMV)(mod?MALLOC_ATOMIC(len*nmv_adv):MALLOC(len*nmv_adv)); - for ( t = BDY(p), i = 0; t; t = NEXT(t), i++, NMV_ADV(m) ) { - ndl_copy(DL(t),DL(m)); - CQ(m) = CQ(t); + 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__) + 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; +} + +/* for Fp, 2<=p<2^16 */ + +NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col, + NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz) +{ + int spcol,sprow,a; + int i,j,k,l,rank; + NODE r0,r; + ND_pairs sp; + ND spol; + 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); + if ( m == -1 ) + maxrs = ndv_reduce_vect_sf(m,svect,col,imat,rvect,nred); + else + maxrs = ndv_reduce_vect(m,svect,col,imat,rvect,nred); + for ( i = 0; i < col; i++ ) if ( svect[i] ) break; + if ( i < col ) { + spmat[sprow] = v = (UINT *)MALLOC_ATOMIC(spcol*sizeof(UINT)); + for ( j = k = 0; j < col; j++ ) + if ( !rhead[j] ) v[k++] = svect[j]; + spsugar[sprow] = MAX(maxrs,SG(spol)); + if ( nz ) + spactive[sprow] = sp; + sprow++; + } + nd_free(spol); + } + get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1); + if ( DP_Print ) { + fprintf(asir_out,"elim1=%.3fsec,",eg_f4_1.exectime+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)); + if ( m == -1 ) + rank = nd_gauss_elim_sf(spmat,spsugar,sprow,spcol,m,colstat); + else + rank = nd_gauss_elim_mod(spmat,spsugar,spactive,sprow,spcol,m,colstat); + r0 = 0; + for ( i = 0; i < rank; i++ ) { + NEXTNODE(r0,r); BDY(r) = + (pointer)vect_to_ndv(spmat[i],spcol,col,rhead,s0vect); + SG((NDV)BDY(r)) = spsugar[i]; + GCFREE(spmat[i]); + } + if ( r0 ) NEXT(r) = 0; + + for ( ; i < sprow; i++ ) GCFREE(spmat[i]); + get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2); + init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2); + if ( DP_Print ) { + fprintf(asir_out,"elim2=%.3fsec,",eg_f4_2.exectime+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; +} + +#if defined(__GNUC__) +/* for Fp, 2^15=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__) + +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); } - MKNDV(NV(p),m0,len,d); - SG(d) = SG(p); - return d; + fclose(s); } -ND ndvtond(int mod,NDV p) +NDV ndv_load(int index) { + FILE *s; + char name[BUFSIZ]; + short id; + int nv,sugar,len,n,i,td,e,j; + NDV d; + NMV m0,m; + unsigned int *dl; + Obj obj; + int mpos; + + sprintf(name,"%s/%d",Demand,index); + s = fopen(name,"r"); + if ( !s ) return 0; + + skipvl(s); + read_short(s,&id); + if ( !id ) return 0; + read_int(s,&nv); + read_int(s,&sugar); + read_int(s,&len); + + m0 = m = MALLOC(len*nmv_adv); + for ( i = 0; i < len; i++, NMV_ADV(m) ) { + loadobj(s,&obj); CQ(m) = (Q)obj; + dl = DL(m); + ndl_zero(dl); + read_int(s,&td); TD(dl) = td; + for ( j = 0; j < nv; j++ ) { + read_int(s,&e); + PUT_EXP(dl,j,e); + } + if ( nd_module ) { + read_int(s,&mpos); MPOS(dl) = mpos; + } + if ( nd_blockmask ) ndl_weight_mask(dl); + } + fclose(s); + MKNDV(nv,m0,len,d); + SG(d) = sugar; + return d; +} + +ND nd_load_mod(int index) +{ + FILE *s; + char name[BUFSIZ]; + int nv,sugar,len,i,c; ND d; - NM m,m0; - NMV t; - int i,len; + NM m0,m; - if ( !p ) return 0; - m0 = 0; - len = p->len; - for ( t = BDY(p), i = 0; i < len; NMV_ADV(t), i++ ) { + 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); - ndl_copy(DL(t),DL(m)); - CQ(m) = CQ(t); + read_int(s,&c); CM(m) = c; + read_intarray(s,DL(m),nd_wpd); } NEXT(m) = 0; - MKND(NV(p),m0,len,d); - SG(d) = SG(p); - return d; + MKND(nv,m0,len,d); + SG(d) = sugar; + fclose(s); + return d; } -NDV dptondv(int mod,DP p) +void nd_det(int mod,MAT f,P *rp) { - NDV d; - NMV m0,m; - MP t; - DP q; - int l,i,n; + VL fv,tv; + int n,i,j,max,e,nvar,sgn,k0,l0,len0,len,k,l,a; + pointer **m; + Q mone; + P **w; + P mp,r; + NDV **dm; + NDV *t,*mi,*mj; + NDV d,s,mij,mjj; + ND u; + NMV nmv; + UINT *bound; + PGeoBucket bucket; + struct order_spec *ord; + Q dq,dt,ds; + N gn,qn,dn0,nm,dn; - if ( !p ) return 0; - for ( t = BDY(p), l = 0; t; t = NEXT(t), l++ ); - if ( mod ) { - _dp_mod(p,mod,0,&q); p = q; - m0 = m = (NMV)MALLOC_ATOMIC(l*nmv_adv); - } else - m0 = m = (NMV)MALLOC(l*nmv_adv); - n = NV(p); - for ( t = BDY(p), i = 0; i < l; i++, t = NEXT(t), NMV_ADV(m) ) { - if ( mod ) CM(m) = ITOS(C(t)); - else CQ(m) = (Q)C(t); - dltondl(n,DL(t),DL(m)); + create_order_spec(0,0,&ord); + nd_init_ord(ord); + get_vars((Obj)f,&fv); + if ( f->row != f->col ) + error("nd_det : non-square matrix"); + n = f->row; + m = f->body; + for ( nvar = 0, tv = fv; tv; tv = NEXT(tv), nvar++ ); + + if ( !nvar ) { + if ( !mod ) + detp(CO,(P **)m,n,rp); + else { + w = (P **)almat_pointer(n,n); + for ( i = 0; i < n; i++ ) + for ( j = 0; j < n; j++ ) + ptomp(mod,(P)m[i][j],&w[i][j]); + detmp(CO,mod,w,n,&mp); + mptop(mp,rp); + } + return; + } + + if ( !mod ) { + w = (P **)almat_pointer(n,n); + dq = ONE; + for ( i = 0; i < n; i++ ) { + dn0 = ONEN; + for ( j = 0; j < n; j++ ) { + if ( !m[i][j] ) continue; + lgp(m[i][j],&nm,&dn); + gcdn(dn0,dn,&gn); divsn(dn0,gn,&qn); muln(qn,dn,&dn0); + } + if ( !UNIN(dn0) ) { + NTOQ(dn0,1,ds); + for ( j = 0; j < n; j++ ) + mulp(CO,(P)m[i][j],(P)ds,&w[i][j]); + mulq(dq,ds,&dt); dq = dt; + } else + for ( j = 0; j < n; j++ ) + w[i][j] = (P)m[i][j]; + } + m = (pointer **)w; + } + + for ( i = 0, max = 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); } - MKNDV(n,m0,l,d); - SG(d) = SG(p); - return d; + 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; } -DP ndvtodp(int mod,NDV p) +ND ndv_mul_nmv_trunc(int mod,NMV m0,NDV p,UINT *d) { - DP d; - MP m0,m; - NMV t; - int len,i,n; + 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; - m0 = 0; - len = LEN(p); - n = NV(p); - for ( t = BDY(p), i = 0; i < len; i++, NMV_ADV(t) ) { - NEXTMP(m0,m); - if ( mod ) C(m) = STOI(CM(t)); - else C(m) = (P)CQ(t); - DL(m) = ndltodl(n,DL(t)); + 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])); } - NEXT(m) = 0; - MKDP(NV(p),m0,d); - SG(d) = SG(p); - return d; + if ( indp ) *indp = ind; } -void ndv_print(NDV p) +void parse_nd_option(NODE opt) { - 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("+%d*",CM(m)); - ndl_print(DL(m)); + 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; } -void ndv_print_q(NDV p) +ND btog_one(NODE ti,ND *p,int nb,int mod) { - 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,CQ(m)); - printf("*"); - ndl_print(DL(m)); - } - printf("\n"); + 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; } -NODE nd_reducebase(NODE x) +MAT nd_btog(LIST f,LIST v,int mod,struct order_spec *ord,LIST tlist,MAT *rp) { - int len,i,j; - NDV *w; - NODE t,t0; + 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; - len = length(x); - w = (NDV *)ALLOCA(len*sizeof(NDV)); - for ( i = 0, t = x; i < len; i++, t = NEXT(t) ) w[i] = BDY(t); - for ( i = 0; i < len; i++ ) { - for ( j = 0; j < i; j++ ) { - if ( w[i] && w[j] ) - if ( ndl_reducible(HDL(w[i]),HDL(w[j])) ) w[i] = 0; - else if ( ndl_reducible(HDL(w[j]),HDL(w[i])) ) w[j] = 0; - } + 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)); + 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 ( i = len-1, t0 = 0; i >= 0; i-- ) { - if ( w[i] ) { NEXTNODE(t0,t); BDY(t) = (pointer)w[i]; } + } + 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; } - NEXT(t) = 0; x = t0; - return x; + } + 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 nd_init_ord(struct order_spec *ord) +void ndv_print_lf(NDV p) { - if ( ord->id ) - error("nd_gr : unsupported order"); - nd_dcomp = 0; - switch ( ord->ord.simple ) { - case 0: - nd_dcomp = 1; - nd_isrlex = 1; - break; - case 1: - nd_dcomp = 1; - nd_isrlex = 0; - break; - case 9: - /* td1->td->rlex */ - nd_dcomp = -dp_nelim; - nd_isrlex = 1; - break; - default: - error("nd_gr : unsupported order"); - } + 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; }