=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/nd.c,v retrieving revision 1.56 retrieving revision 1.65 diff -u -p -r1.56 -r1.65 --- OpenXM_contrib2/asir2000/engine/nd.c 2003/09/04 08:35:09 1.56 +++ OpenXM_contrib2/asir2000/engine/nd.c 2003/09/12 08:01:51 1.65 @@ -1,7 +1,8 @@ -/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.55 2003/09/03 07:33:35 noro Exp $ */ +/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.64 2003/09/12 01:12:40 noro Exp $ */ #include "ca.h" #include "inline.h" +#include #if defined(__GNUC__) #define INLINE inline @@ -11,7 +12,10 @@ #define INLINE #endif +typedef unsigned int UINT; + #define USE_GEOBUCKET 1 +#define USE_UNROLL 1 #define REDTAB_LEN 32003 @@ -44,8 +48,9 @@ typedef struct oNM { union { int m; Q z; + P p; } c; - unsigned int dl[1]; + UINT dl[1]; } *NM; /* monomial; array rep. */ @@ -53,8 +58,9 @@ typedef struct oNMV { union { int m; Q z; + P p; } c; - unsigned int dl[1]; + UINT dl[1]; } *NMV; /* history of reducer */ @@ -62,7 +68,7 @@ typedef struct oRHist { struct oRHist *next; int index; int sugar; - unsigned int dl[1]; + UINT dl[1]; } *RHist; /* S-pair list */ @@ -70,7 +76,7 @@ typedef struct oND_pairs { struct oND_pairs *next; int i1,i2; int sugar; - unsigned int lcm[1]; + UINT lcm[1]; } *ND_pairs; /* index and shift count for each exponent */ @@ -82,27 +88,34 @@ typedef struct oEPOS { typedef struct oBlockMask { int n; struct order_pair *order_pair; - unsigned int **mask; + UINT **mask; } *BlockMask; typedef struct oBaseSet { int len; NDV *ps; - unsigned int **bound; + UINT **bound; } *BaseSet; -int (*ndl_compare_function)(unsigned int *a1,unsigned int *a2); +typedef struct oNM_ind_pair +{ + NM mul; + int index; +} *NM_ind_pair; + +int (*ndl_compare_function)(UINT *a1,UINT *a2); + static double nd_scale=2; -static unsigned int **nd_bound; +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 unsigned int nd_mask[32]; -static unsigned int nd_mask0,nd_mask1; +static UINT nd_mask[32]; +static UINT nd_mask0,nd_mask1; static NM _nm_free_list; static ND _nd_free_list; @@ -120,7 +133,9 @@ static int nm_adv; static int nmv_adv; static int nd_dcomp; +extern VL CO; extern int Top,Reverse,dp_nelim,do_weyl; +extern int *current_weyl_weight_vector; /* fundamental macros */ #define TD(d) (d[0]) @@ -128,16 +143,22 @@ extern int Top,Reverse,dp_nelim,do_weyl; #define HTD(d) (TD(HDL(d))) #define HCM(d) ((d)->body->c.m) #define HCQ(d) ((d)->body->c.z) +#define HCP(d) ((d)->body->c.p) #define CM(a) ((a)->c.m) #define CQ(a) ((a)->c.z) +#define CP(a) ((a)->c.p) #define DL(a) ((a)->dl) #define SG(a) ((a)->sugar) #define LEN(a) ((a)->len) #define LCM(a) ((a)->lcm) #define GET_EXP(d,a) (((d)[nd_epos[a].i]>>nd_epos[a].s)&nd_mask0) +#define GET_EXP_MASK(d,a,m) ((((d)[nd_epos[a].i]&(m)[nd_epos[a].i])>>nd_epos[a].s)&nd_mask0) #define PUT_EXP(r,a,e) ((r)[nd_epos[a].i] |= ((e)<>oepos[a].s)&omask0) +#define PUT_EXP_OLD(r,a,e) ((r)[oepos[a].i] |= ((e)<TD(d2)?1:(TD(d1)mul=(m),(p)->index=(i)) /* deallocators */ #define FREENM(m) NEXT(m)=_nm_free_list; _nm_free_list=(m) @@ -185,7 +209,10 @@ if(!(r)){NEWND_pairs(r);(c)=(r);}else{NEWND_pairs(NEXT /* macro for increasing pointer to NMV */ #define NMV_ADV(m) (m = (NMV)(((char *)m)+nmv_adv)) +#define NMV_OADV(m) (m = (NMV)(((char *)m)+oadv)) +#define NDV_NADV(m) (m = (NMV)(((char *)m)+newadv)) #define NMV_PREV(m) (m = (NMV)(((char *)m)-nmv_adv)) +#define NMV_OPREV(m) (m = (NMV)(((char *)m)-oadv)) /* external functions */ void GC_gcollect(); @@ -200,15 +227,18 @@ void removecont_array(Q *c,int n); ND normalize_pbucket(int mod,PGeoBucket g); int head_pbucket(int mod,PGeoBucket g); int head_pbucket_q(PGeoBucket g); +void add_pbucket_symbolic(PGeoBucket g,ND d); void add_pbucket(int mod,PGeoBucket g,ND d); void free_pbucket(PGeoBucket b); void mulq_pbucket(PGeoBucket g,Q c); +NM remove_head_pbucket_symbolic(PGeoBucket g); PGeoBucket create_pbucket(); /* manipulation of pairs and bases */ int nd_newps(int mod,ND a,ND aq); ND_pairs nd_newpairs( NODE g, int t ); ND_pairs nd_minp( ND_pairs d, ND_pairs *prest ); +ND_pairs nd_minsugarp( ND_pairs d, ND_pairs *prest ); NODE update_base(NODE nd,int ndp); ND_pairs update_pairs( ND_pairs d, NODE /* of index */ g, int t); ND_pairs equivalent_pairs( ND_pairs d1, ND_pairs *prest ); @@ -216,41 +246,43 @@ ND_pairs crit_B( ND_pairs d, int s ); ND_pairs crit_M( ND_pairs d1 ); ND_pairs crit_F( ND_pairs d1 ); int crit_2( int dp1, int dp2 ); +int ndv_newps(NDV a,NDV aq); /* top level functions */ -void nd_gr(LIST f,LIST v,int m,struct order_spec *ord,LIST *rp); +void nd_gr(LIST f,LIST v,int m,int f4,struct order_spec *ord,LIST *rp); void nd_gr_trace(LIST f,LIST v,int trace,int homo,struct order_spec *ord,LIST *rp); +NODE nd_f4(int m); NODE nd_gb(int m,int checkonly); NODE nd_gb_trace(int m); /* ndl functions */ -int ndl_weight(unsigned int *d); -int ndl_weight_mask(unsigned int *d,int i); -void ndl_dehomogenize(unsigned int *p); -void ndl_reconstruct(int obpe,EPOS oepos,unsigned int *d,unsigned int *r); -INLINE int ndl_reducible(unsigned int *d1,unsigned int *d2); -INLINE int ndl_lex_compare(unsigned int *d1,unsigned int *d2); -INLINE int ndl_block_compare(unsigned int *d1,unsigned int *d2); -INLINE int ndl_equal(unsigned int *d1,unsigned int *d2); -INLINE void ndl_copy(unsigned int *d1,unsigned int *d2); -INLINE void ndl_add(unsigned int *d1,unsigned int *d2,unsigned int *d); -INLINE void ndl_addto(unsigned int *d1,unsigned int *d2); -INLINE void ndl_sub(unsigned int *d1,unsigned int *d2,unsigned int *d); -INLINE int ndl_hash_value(unsigned int *d); +int ndl_weight(UINT *d); +void ndl_weight_mask(UINT *d); +void ndl_homogenize(UINT *d,UINT *r,int obpe,EPOS oepos,int weight); +void ndl_dehomogenize(UINT *p); +void ndl_reconstruct(UINT *d,UINT *r,int obpe,EPOS oepos); +INLINE int ndl_reducible(UINT *d1,UINT *d2); +INLINE int ndl_lex_compare(UINT *d1,UINT *d2); +INLINE int ndl_block_compare(UINT *d1,UINT *d2); +INLINE int ndl_equal(UINT *d1,UINT *d2); +INLINE void ndl_copy(UINT *d1,UINT *d2); +INLINE void ndl_zero(UINT *d); +INLINE void ndl_add(UINT *d1,UINT *d2,UINT *d); +INLINE void ndl_addto(UINT *d1,UINT *d2); +INLINE void ndl_sub(UINT *d1,UINT *d2,UINT *d); +INLINE int ndl_hash_value(UINT *d); /* normal forms */ -INLINE int nd_find_reducer(ND g); -INLINE int nd_find_reducer_direct(ND g,NDV *ps,int len); +INLINE int ndl_find_reducer(UINT *g); +INLINE int ndl_find_reducer_direct(UINT *g,NDV *ps,int len); int nd_sp(int mod,int trace,ND_pairs p,ND *nf); int nd_nf(int mod,ND g,NDV *ps,int full,ND *nf); int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *nf); int nd_nf_direct(int mod,ND g,BaseSet base,int full,ND *rp); /* finalizers */ -NODE nd_reducebase(NODE x); -NODE nd_reduceall(int m,NODE f); -int nd_gbcheck(int m,NODE f); -int nd_membercheck(int m,NODE f); +NODE ndv_reducebase(NODE x); +NODE ndv_reduceall(int m,NODE f); /* allocators */ void nd_free_private_storage(); @@ -260,7 +292,7 @@ void nd_free(ND p); void nd_free_redlist(); /* printing */ -void ndl_print(unsigned int *dl); +void ndl_print(UINT *dl); void nd_print(ND p); void nd_print_q(ND p); void ndp_print(ND_pairs d); @@ -270,21 +302,26 @@ void ndp_print(ND_pairs d); void nd_init_ord(struct order_spec *spec); ND_pairs nd_reconstruct(int mod,int trace,ND_pairs ndp); void nd_reconstruct_direct(int mod,NDV *ps,int len); -void nd_setup(int mod,int trace,NODE f); -void nd_setup_parameters(); +void ndv_setup(int mod,int trace,NODE f); +void nd_setup_parameters(int nvar,int max); BlockMask nd_create_blockmask(struct order_spec *ord); +EPOS nd_create_epos(struct order_spec *ord); int nd_get_exporigin(struct order_spec *ord); +void ndv_mod(int mod,NDV p); +NDV ndv_dup(int mod,NDV p); +ND nd_dup(ND p); /* ND functions */ -int nd_check_candidate(NODE input,NODE cand); +int ndv_check_candidate(NODE input,int obpe,int oadv,EPOS oepos,NODE cand); void nd_mul_c(int mod,ND p,int mul); void nd_mul_c_q(ND p,Q mul); +void nd_mul_c_p(VL vl,ND p,P mul); ND nd_remove_head(ND p); int nd_length(ND p); -void nd_append_red(unsigned int *d,int i); -unsigned int *ndv_compute_bound(NDV p); -unsigned int *dp_compute_bound(DP p); +void nd_append_red(UINT *d,int i); +UINT *ndv_compute_bound(NDV p); ND nd_copy(ND p); +ND nd_merge(ND p1,ND p2); ND nd_add(int mod,ND p1,ND p2); ND nd_add_q(ND p1,ND p2); INLINE int nd_length(ND p); @@ -294,8 +331,11 @@ ND weyl_ndv_mul_nm(int mod,NM m0,NDV p); void weyl_mul_nm_nmv(int n,int mod,NM m0,NMV m1,NM *tab,int tlen); void ndv_mul_c(int mod,NDV p,int mul); void ndv_mul_c_q(NDV p,Q mul); -void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos); +ND ndv_mul_nm_symbolic(NM m0,NDV p); ND ndv_mul_nm(int mod,NM m0,NDV p); +void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos); +NDV ndv_dup_realloc(NDV p,int obpe,int oadv,EPOS oepos); +void ndv_homogenize(NDV p,int obpe,int oadv,EPOS eops); void ndv_dehomogenize(NDV p,struct order_spec *spec); void ndv_removecont(int mod,NDV p); void ndv_print(NDV p); @@ -303,12 +343,14 @@ void ndv_print_q(NDV p); void ndv_free(NDV p); /* converters */ +ND ptond(VL vl,VL dvl,P p); +NDV ptondv(VL vl,VL dvl,P p); +P ndvtop(int mod,VL vl,VL dvl,NDV p); NDV ndtondv(int mod,ND p); ND ndvtond(int mod,NDV p); -NDV dptondv(int,DP); -DP ndvtodp(int,NDV); -ND dptond(int,DP); -DP ndtodp(int,ND); +int nm_ind_pair_to_vect(int m,UINT *s0,int n,NM_ind_pair pair,UINT *r); +void nm_ind_pair_to_vect_compress(int m,UINT *s0,int n,NM_ind_pair pair,int *ind); +int nd_to_vect(int mod,UINT *s0,int n,ND d,UINT *r); void nd_free_private_storage() { @@ -325,7 +367,7 @@ void _NM_alloc() int i; for ( i = 0; i < 1024; i++ ) { - p = (NM)GC_malloc(sizeof(struct oNM)+(nd_wpd-1)*sizeof(unsigned int)); + p = (NM)GC_malloc(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT)); p->next = _nm_free_list; _nm_free_list = p; } } @@ -348,7 +390,7 @@ void _NDP_alloc() for ( i = 0; i < 1024; i++ ) { p = (ND_pairs)GC_malloc(sizeof(struct oND_pairs) - +(nd_wpd-1)*sizeof(unsigned int)); + +(nd_wpd-1)*sizeof(UINT)); p->next = _ndp_free_list; _ndp_free_list = p; } } @@ -366,24 +408,41 @@ INLINE int nd_length(ND p) } } -INLINE int ndl_reducible(unsigned int *d1,unsigned int *d2) +INLINE int ndl_reducible(UINT *d1,UINT *d2) { - unsigned int u1,u2; + UINT u1,u2; int i,j; if ( TD(d1) < TD(d2) ) return 0; +#if USE_UNROLL switch ( nd_bpe ) { + case 3: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + if ( (u1&0x38000000) < (u2&0x38000000) ) return 0; + if ( (u1& 0x7000000) < (u2& 0x7000000) ) return 0; + if ( (u1& 0xe00000) < (u2& 0xe00000) ) return 0; + if ( (u1& 0x1c0000) < (u2& 0x1c0000) ) return 0; + if ( (u1& 0x38000) < (u2& 0x38000) ) return 0; + if ( (u1& 0x7000) < (u2& 0x7000) ) return 0; + if ( (u1& 0xe00) < (u2& 0xe00) ) return 0; + if ( (u1& 0x1c0) < (u2& 0x1c0) ) return 0; + if ( (u1& 0x38) < (u2& 0x38) ) return 0; + if ( (u1& 0x7) < (u2& 0x7) ) return 0; + } + return 1; + break; case 4: for ( i = nd_exporigin; i < nd_wpd; i++ ) { u1 = d1[i]; u2 = d2[i]; if ( (u1&0xf0000000) < (u2&0xf0000000) ) return 0; - if ( (u1&0xf000000) < (u2&0xf000000) ) return 0; - if ( (u1&0xf00000) < (u2&0xf00000) ) return 0; - if ( (u1&0xf0000) < (u2&0xf0000) ) return 0; - if ( (u1&0xf000) < (u2&0xf000) ) return 0; - if ( (u1&0xf00) < (u2&0xf00) ) return 0; - if ( (u1&0xf0) < (u2&0xf0) ) return 0; - if ( (u1&0xf) < (u2&0xf) ) return 0; + 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; @@ -391,10 +450,10 @@ INLINE int ndl_reducible(unsigned int *d1,unsigned int 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; + 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; @@ -402,9 +461,9 @@ INLINE int ndl_reducible(unsigned int *d1,unsigned int 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; + if ( (u1& 0xff0000) < (u2& 0xff0000) ) return 0; + if ( (u1& 0xff00) < (u2& 0xff00) ) return 0; + if ( (u1& 0xff) < (u2& 0xff) ) return 0; } return 1; break; @@ -412,7 +471,7 @@ INLINE int ndl_reducible(unsigned int *d1,unsigned int 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; + if ( (u1& 0xffff) < (u2& 0xffff) ) return 0; } return 1; break; @@ -429,12 +488,44 @@ INLINE int ndl_reducible(unsigned int *d1,unsigned int } return 1; } +#else + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + for ( j = 0; j < nd_epw; j++ ) + if ( (u1&nd_mask[j]) < (u2&nd_mask[j]) ) return 0; + } + return 1; +#endif } -void ndl_dehomogenize(unsigned int *d) +/* + * If the current order is a block order, + * then the last block is length 1 and contains + * the homo variable. Otherwise, the original + * order is either 0 or 2. + */ + +void ndl_homogenize(UINT *d,UINT *r,int obpe,EPOS oepos,int weight) { - unsigned int mask; - unsigned int h; + int w,i,e,n,omask0; + + omask0 = (1<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; + 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; @@ -491,10 +599,10 @@ void ndl_lcm(unsigned int *d1,unsigned *d2,unsigned in 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; + 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; @@ -502,9 +610,9 @@ void ndl_lcm(unsigned int *d1,unsigned *d2,unsigned in 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; + 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; @@ -512,7 +620,7 @@ void ndl_lcm(unsigned int *d1,unsigned *d2,unsigned in 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; + t1 = (u1& 0xffff); t2 = (u2& 0xffff); u |= t1>t2?t1:t2; d[i] = u; } break; @@ -532,43 +640,63 @@ void ndl_lcm(unsigned int *d1,unsigned *d2,unsigned in } break; } - TD(d) = ndl_weight(d); - if ( nd_blockmask ) { - l = nd_blockmask->n; - for ( j = 0; j < l; j++ ) - d[j+1] = ndl_weight_mask(d,j); +#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 + TD(d) = ndl_weight(d); + if ( nd_blockmask ) ndl_weight_mask(d); } -int ndl_weight(unsigned int *d) +int ndl_weight(UINT *d) { - unsigned int t,u; + UINT t,u; int i,j; - 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 ( 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); + } return t; } -int ndl_weight_mask(unsigned int *d,int index) +void ndl_weight_mask(UINT *d) { - unsigned int t,u; - unsigned int *mask; - int i,j; + UINT t,u; + UINT *mask; + int i,j,k,l; - mask = nd_blockmask->mask[index]; - for ( t = 0, i = nd_exporigin; i < nd_wpd; i++ ) { - u = d[i]&mask[i]; - for ( j = 0; j < nd_epw; j++, u>>=nd_bpe ) - t += (u&nd_mask0); + 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; } - return t; } -int ndl_lex_compare(unsigned int *d1,unsigned int *d2) +int ndl_lex_compare(UINT *d1,UINT *d2) { int i; @@ -582,12 +710,12 @@ int ndl_lex_compare(unsigned int *d1,unsigned int *d2) return 0; } -int ndl_block_compare(unsigned int *d1,unsigned int *d2) +int ndl_block_compare(UINT *d1,UINT *d2) { int i,l,j,ord_o,ord_l; struct order_pair *op; - unsigned int t1,t2,m; - unsigned int *mask; + UINT t1,t2,m; + UINT *mask; l = nd_blockmask->n; op = nd_blockmask->order_pair; @@ -610,8 +738,26 @@ int ndl_block_compare(unsigned int *d1,unsigned int *d 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,m,e1,e2; + + if ( TD(d1) > TD(d2) ) return 1; + else if ( TD(d1) < TD(d2) ) return -1; + m = nd_nvar>>1; + for ( i = 0, e1 = e2 = 0; i < m; i++ ) { + e1 += current_weyl_weight_vector[i]*(GET_EXP(d1,m+i)-GET_EXP(d1,i)); + e2 += current_weyl_weight_vector[i]*(GET_EXP(d2,m+i)-GET_EXP(d2,i)); + } + if ( e1 > e2 ) return 1; + else if ( e1 < e2 ) return -1; + return ndl_lex_compare(d1,d2); +} + +INLINE int ndl_equal(UINT *d1,UINT *d2) +{ int i; for ( i = 0; i < nd_wpd; i++ ) @@ -620,7 +766,7 @@ INLINE int ndl_equal(unsigned int *d1,unsigned int *d2 return 1; } -INLINE void ndl_copy(unsigned int *d1,unsigned int *d2) +INLINE void ndl_copy(UINT *d1,UINT *d2) { int i; @@ -641,10 +787,16 @@ INLINE void ndl_copy(unsigned int *d1,unsigned int *d2 } } -INLINE void ndl_add(unsigned int *d1,unsigned int *d2,unsigned int *d) +INLINE void ndl_zero(UINT *d) { int i; + for ( i = 0; i < nd_wpd; i++ ) d[i] = 0; +} +INLINE void ndl_add(UINT *d1,UINT *d2,UINT *d) +{ + int i; + #if 1 switch ( nd_wpd ) { case 2: @@ -666,7 +818,7 @@ INLINE void ndl_add(unsigned int *d1,unsigned int *d2, } /* d1 += d2 */ -INLINE void ndl_addto(unsigned int *d1,unsigned int *d2) +INLINE void ndl_addto(UINT *d1,UINT *d2) { int i; @@ -690,30 +842,47 @@ INLINE void ndl_addto(unsigned int *d1,unsigned int *d #endif } -INLINE void ndl_sub(unsigned int *d1,unsigned int *d2,unsigned int *d) +INLINE void ndl_sub(UINT *d1,UINT *d2,UINT *d) { int i; for ( i = 0; i < nd_wpd; i++ ) d[i] = d1[i]-d2[i]; } -int ndl_disjoint(unsigned int *d1,unsigned int *d2) +int ndl_disjoint(UINT *d1,UINT *d2) { - unsigned int t1,t2,u,u1,u2; + UINT t1,t2,u,u1,u2; int i,j; +#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; + 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; @@ -721,10 +890,10 @@ int ndl_disjoint(unsigned int *d1,unsigned int *d2) 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; + 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; @@ -732,9 +901,9 @@ int ndl_disjoint(unsigned int *d1,unsigned int *d2) 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; + 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; @@ -742,7 +911,7 @@ int ndl_disjoint(unsigned int *d1,unsigned int *d2) 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; + t1 = u1& 0xffff; t2 = u2& 0xffff; if ( t1&&t2 ) return 0; } return 1; break; @@ -762,17 +931,44 @@ int ndl_disjoint(unsigned int *d1,unsigned int *d2) return 1; break; } +#else + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u1 = d1[i]; u2 = d2[i]; + for ( j = 0; j < nd_epw; j++ ) { + if ( (u1&nd_mask0) && (u2&nd_mask0) ) return 0; + u1 >>= nd_bpe; u2 >>= nd_bpe; + } + } + return 1; +#endif } -int ndl_check_bound2(int index,unsigned int *d2) +int ndl_check_bound2(int index,UINT *d2) { - unsigned int u2; - unsigned int *d1; + UINT u2; + UINT *d1; int i,j,ind,k; d1 = nd_bound[index]; 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]; @@ -831,15 +1027,41 @@ int ndl_check_bound2(int index,unsigned int *d2) return 0; break; } +#else + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u2 = d2[i]; + k = (nd_epw-1)*nd_bpe; + for ( j = 0; j < nd_epw; j++, k -= nd_bpe ) + if ( d1[ind++]+((u2>>k)&nd_mask0) > nd_mask0 ) return 1; + } + return 0; +#endif } -int ndl_check_bound2_direct(unsigned int *d1,unsigned int *d2) +int ndl_check_bound2_direct(UINT *d1,UINT *d2) { - unsigned int u2; + UINT u2; int i,j,ind,k; ind = 0; +#if USE_UNROLL switch ( nd_bpe ) { + case 3: + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u2 = d2[i]; + if ( d1[ind++]+((u2>>27)&0x7) >= 0x8 ) return 1; + if ( d1[ind++]+((u2>>24)&0x7) >= 0x8 ) return 1; + if ( d1[ind++]+((u2>>21)&0x7) >= 0x8 ) return 1; + if ( d1[ind++]+((u2>>18)&0x7) >= 0x8 ) return 1; + if ( d1[ind++]+((u2>>15)&0x7) >= 0x8 ) return 1; + if ( d1[ind++]+((u2>>12)&0x7) >= 0x8 ) return 1; + if ( d1[ind++]+((u2>>9)&0x7) >= 0x8 ) return 1; + if ( d1[ind++]+((u2>>6)&0x7) >= 0x8 ) return 1; + if ( d1[ind++]+((u2>>3)&0x7) >= 0x8 ) return 1; + if ( d1[ind++]+(u2&0x7) >= 0x8 ) return 1; + } + return 0; + break; case 4: for ( i = nd_exporigin; i < nd_wpd; i++ ) { u2 = d2[i]; @@ -898,9 +1120,18 @@ int ndl_check_bound2_direct(unsigned int *d1,unsigned return 0; break; } +#else + for ( i = nd_exporigin; i < nd_wpd; i++ ) { + u2 = d2[i]; + k = (nd_epw-1)*nd_bpe; + for ( j = 0; j < nd_epw; j++, k -= nd_bpe ) + if ( d1[ind++]+((u2>>k)&nd_mask0) > nd_mask0 ) return 1; + } + return 0; +#endif } -INLINE int ndl_hash_value(unsigned int *d) +INLINE int ndl_hash_value(UINT *d) { int i; int r; @@ -911,15 +1142,12 @@ INLINE int ndl_hash_value(unsigned int *d) return r; } -INLINE int nd_find_reducer(ND g) +INLINE int ndl_find_reducer(UINT *dg) { RHist r; - unsigned int *dg; int d,k,i; - dg = HDL(g); -#if 1 - d = ndl_hash_value(HDL(g)); + 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++; @@ -927,7 +1155,6 @@ INLINE int nd_find_reducer(ND g) return r->index; } } -#endif if ( Reverse ) for ( i = nd_psn-1; i >= 0; i-- ) { r = nd_psh[i]; @@ -949,7 +1176,7 @@ INLINE int nd_find_reducer(ND g) return -1; } -INLINE int nd_find_reducer_direct(ND g,NDV *ps,int len) +INLINE int ndl_find_reducer_direct(UINT *dg,NDV *ps,int len) { NDV r; RHist s; @@ -958,18 +1185,60 @@ INLINE int nd_find_reducer_direct(ND g,NDV *ps,int len if ( Reverse ) for ( i = len-1; i >= 0; i-- ) { r = ps[i]; - if ( ndl_reducible(HDL(g),HDL(r)) ) + if ( ndl_reducible(dg,HDL(r)) ) return i; } else for ( i = 0; i < len; i++ ) { r = ps[i]; - if ( ndl_reducible(HDL(g),HDL(r)) ) + if ( ndl_reducible(dg,HDL(r)) ) 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; @@ -1087,9 +1356,9 @@ int nd_nf(int mod,ND g,NDV *ps,int full,ND *rp) sugar0 = sugar = SG(g); n = NV(g); - mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(unsigned int)); + mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT)); for ( d = 0; g; ) { - index = nd_find_reducer(g); + index = ndl_find_reducer(HDL(g)); if ( index >= 0 ) { h = nd_psh[index]; ndl_sub(HDL(g),DL(h),DL(mul)); @@ -1158,7 +1427,7 @@ int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *rp bucket = create_pbucket(); add_pbucket(mod,bucket,g); d = 0; - mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(unsigned int)); + mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT)); while ( 1 ) { hindex = mod?head_pbucket(mod,bucket):head_pbucket_q(bucket); if ( hindex < 0 ) { @@ -1167,7 +1436,7 @@ int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *rp return 1; } g = bucket->body[hindex]; - index = nd_find_reducer(g); + index = ndl_find_reducer(HDL(g)); if ( index >= 0 ) { h = nd_psh[index]; ndl_sub(HDL(g),DL(h),DL(mul)); @@ -1237,7 +1506,7 @@ int nd_nf_direct(int mod,ND g,BaseSet base,int full,ND NDV *ps; int n,sugar,psugar,sugar0,stat,index,len; int c,c1,c2; - unsigned int **bound; + UINT **bound; RHist h; NDV p,red; Q cg,cred,gcd; @@ -1260,9 +1529,9 @@ int nd_nf_direct(int mod,ND g,BaseSet base,int full,ND len = base->len; sugar0 = sugar = SG(g); n = NV(g); - mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(unsigned int)); + mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT)); for ( d = 0; g; ) { - index = nd_find_reducer_direct(g,ps,len); + index = ndl_find_reducer_direct(HDL(g),ps,len); if ( index >= 0 ) { p = ps[index]; ndl_sub(HDL(g),HDL(p),DL(mul)); @@ -1306,28 +1575,26 @@ int nd_nf_direct(int mod,ND g,BaseSet base,int full,ND return 1; } -/* input : list of DP, cand : list of DP */ +/* input : list of NDV, cand : list of NDV */ -int nd_check_candidate(NODE input,NODE cand) +int ndv_check_candidate(NODE input,int obpe,int oadv,EPOS oepos,NODE cand) { int n,i,stat; ND nf,d; + NDV r; NODE t,s; -#if 0 - for ( t = 0; cand; cand = NEXT(cand) ) { - MKNODE(s,BDY(cand),t); t = s; - } - cand = t; -#endif - - nd_setup(0,0,cand); + ndv_setup(0,0,cand); n = length(cand); /* membercheck : list is a subset of Id(cand) ? */ for ( t = input; t; t = NEXT(t) ) { again: - d = dptond(0,(DP)BDY(t)); + if ( nd_bpe > obpe ) + r = ndv_dup_realloc((NDV)BDY(t),obpe,oadv,oepos); + else + r = (NDV)BDY(t); + d = ndvtond(0,r); stat = nd_nf(0,d,nd_ps,0,&nf); if ( !stat ) { nd_reconstruct(0,0,0); @@ -1376,6 +1643,24 @@ void free_pbucket(PGeoBucket b) { GC_free(b); } +void add_pbucket_symbolic(PGeoBucket g,ND d) +{ + int l,i,k,m; + + if ( !d ) + return; + l = LEN(d); + for ( k = 0, m = 1; l > m; k++, m <<= 1 ); + /* 2^(k-1) < l <= 2^k (=m) */ + d = nd_merge(g->body[k],d); + for ( ; d && LEN(d) > m; k++, m <<= 1 ) { + g->body[k] = 0; + d = nd_merge(g->body[k+1],d); + } + g->body[k] = d; + g->m = MAX(g->m,k); +} + void add_pbucket(int mod,PGeoBucket g,ND d) { int l,i,k,m; @@ -1402,10 +1687,42 @@ void mulq_pbucket(PGeoBucket g,Q c) nd_mul_c_q(g->body[k],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; + UINT *di,*dj; ND gi,gj; k = g->m; @@ -1507,6 +1824,7 @@ NODE nd_gb(int m,int checkonly) ND_pairs d; ND_pairs l; ND h,nf; + NDV nfv; g = 0; d = 0; for ( i = 0; i < nd_psn; i++ ) { @@ -1539,7 +1857,9 @@ again: } else if ( nf ) { if ( checkonly ) return 0; printf("+"); fflush(stdout); - nh = nd_newps(m,nf,0); + nd_removecont(m,nf); + nfv = ndtondv(m,nf); nd_free(nf); + nh = ndv_newps(nfv,0); d = update_pairs(d,g,nh); g = update_base(g,nh); FREENDP(l); @@ -1559,6 +1879,7 @@ NODE nd_gb_trace(int m) ND_pairs d; ND_pairs l; ND h,nf,nfq; + NDV nfv,nfqv; g = 0; d = 0; for ( i = 0; i < nd_psn; i++ ) { @@ -1593,10 +1914,13 @@ again: nd_sp(0,1,l,&h); nd_nf(0,h,nd_ps_trace,!Top,&nfq); if ( nfq ) { - printf("+"); fflush(stdout); - nh = nd_newps(m,nf,nfq); /* failure; m|HC(nfq) */ - if ( nh < 0 ) return 0; + if ( !rem(NM(HCQ(nfq)),m) ) return 0; + + printf("+"); fflush(stdout); + nd_removecont(m,nf); nfv = ndtondv(m,nf); nd_free(nf); + nd_removecont(0,nfq); nfqv = ndtondv(0,nfq); nd_free(nfq); + nh = ndv_newps(nfv,nfqv); d = update_pairs(d,g,nh); g = update_base(g,nh); } else { @@ -1622,23 +1946,23 @@ int ndv_compare_rev(NDV *p1,NDV *p2) return -DL_COMPARE(HDL(*p1),HDL(*p2)); } -NODE nd_reduceall(int m,NODE f) +NODE ndv_reduceall(int m,NODE f) { int i,j,n,stat; NDV *w,*ps; ND nf,g; NODE t,a0,a; struct oBaseSet base; - unsigned int **bound; + UINT **bound; for ( n = 0, t = f; t; t = NEXT(t), n++ ); ps = (NDV *)ALLOCA(n*sizeof(NDV)); - bound = (unsigned int **)ALLOCA(n*sizeof(unsigned int *)); + bound = (UINT **)ALLOCA(n*sizeof(UINT *)); 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); for ( i = 0; i < n; i++ ) bound[i] = ndv_compute_bound(ps[i]); base.ps = (NDV *)ALLOCA((n-1)*sizeof(NDV)); - base.bound = (unsigned int **)ALLOCA((n-1)*sizeof(unsigned int *)); + base.bound = (UINT **)ALLOCA((n-1)*sizeof(UINT *)); base.len = n-1; i = 0; while ( i < n ) { @@ -1716,7 +2040,7 @@ ND_pairs update_pairs( ND_pairs d, NODE /* of index */ ND_pairs nd_newpairs( NODE g, int t ) { NODE h; - unsigned int *dl; + UINT *dl; int ts,s; ND_pairs r,r0; @@ -1737,14 +2061,14 @@ ND_pairs nd_newpairs( NODE g, int t ) ND_pairs crit_B( ND_pairs d, int s ) { ND_pairs cur,head,prev,remove; - unsigned int *t,*tl,*lcm; + UINT *t,*tl,*lcm; int td,tdl; if ( !d ) return 0; t = DL(nd_psh[s]); prev = 0; head = cur = d; - lcm = (unsigned int *)ALLOCA(nd_wpd*sizeof(unsigned int)); + lcm = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); while ( cur ) { tl = cur->lcm; if ( ndl_reducible(tl,t) @@ -1767,7 +2091,7 @@ ND_pairs crit_B( ND_pairs d, int s ) ND_pairs crit_M( ND_pairs d1 ) { ND_pairs e,d2,d3,dd,p; - unsigned int *id,*jd; + UINT *id,*jd; for ( dd = 0, e = d1; e; e = d3 ) { if ( !(d2 = NEXT(e)) ) { @@ -1853,7 +2177,7 @@ int crit_2( int dp1, int dp2 ) ND_pairs equivalent_pairs( ND_pairs d1, ND_pairs *prest ) { ND_pairs w,p,r,s; - unsigned int *d; + UINT *d; w = d1; d = LCM(w); @@ -1873,7 +2197,7 @@ ND_pairs equivalent_pairs( ND_pairs d1, ND_pairs *pres NODE update_base(NODE nd,int ndp) { - unsigned int *dl, *dln; + UINT *dl, *dln; NODE last, p, head; dl = DL(nd_psh[ndp]); @@ -1894,7 +2218,7 @@ NODE update_base(NODE nd,int ndp) ND_pairs nd_minp( ND_pairs d, ND_pairs *prest ) { ND_pairs m,ml,p,l; - unsigned int *lcm; + UINT *lcm; int s,td,len,tlen,c,c1; if ( !(p = NEXT(m = d)) ) { @@ -1917,47 +2241,64 @@ ND_pairs nd_minp( ND_pairs d, ND_pairs *prest ) return m; } -int nd_newps(int mod,ND a,ND aq) +ND_pairs nd_minsugarp( ND_pairs d, ND_pairs *prest ) { + int msugar; + ND_pairs t,dm0,dm,dr0,dr; + + for ( msugar = SG(d), t = NEXT(d); t; t = NEXT(t) ) + if ( SG(t) < msugar ) msugar = SG(t); + dm0 = 0; dr0 = 0; + for ( t = d; t; t = NEXT(t) ) + if ( SG(t) == msugar ) { + if ( dm0 ) NEXT(dm) = t; + else dm0 = t; + dm = t; + } else { + if ( dr0 ) NEXT(dr) = t; + else dr0 = t; + dr = t; + } + NEXT(dm) = 0; + if ( dr0 ) NEXT(dr) = 0; + *prest = dr0; + return dm0; +} + +int ndv_newps(NDV a,NDV aq) +{ int len; RHist r; NDV b; - if ( aq ) { - /* trace lifting */ - if ( !rem(NM(HCQ(aq)),mod) ) - return -1; - } if ( nd_psn == nd_pslen ) { nd_pslen *= 2; nd_ps = (NDV *)REALLOC((char *)nd_ps,nd_pslen*sizeof(NDV)); nd_ps_trace = (NDV *)REALLOC((char *)nd_ps_trace,nd_pslen*sizeof(NDV)); nd_psh = (RHist *)REALLOC((char *)nd_psh,nd_pslen*sizeof(RHist)); - nd_bound = (unsigned int **) - REALLOC((char *)nd_bound,nd_pslen*sizeof(unsigned int *)); + nd_bound = (UINT **) + REALLOC((char *)nd_bound,nd_pslen*sizeof(UINT *)); } NEWRHist(r); nd_psh[nd_psn] = r; - nd_removecont(mod,a); nd_ps[nd_psn] = ndtondv(mod,a); + nd_ps[nd_psn] = a; if ( aq ) { - nd_removecont(0,aq); nd_ps_trace[nd_psn] = ndtondv(0,aq); - nd_bound[nd_psn] = ndv_compute_bound(nd_ps_trace[nd_psn]); + nd_ps_trace[nd_psn] = aq; + nd_bound[nd_psn] = ndv_compute_bound(aq); SG(r) = SG(aq); ndl_copy(HDL(aq),DL(r)); - nd_free(a); nd_free(aq); } else { - nd_bound[nd_psn] = ndv_compute_bound(nd_ps[nd_psn]); + nd_bound[nd_psn] = ndv_compute_bound(a); SG(r) = SG(a); ndl_copy(HDL(a),DL(r)); - nd_free(a); } return nd_psn++; } -void nd_setup(int mod,int trace,NODE f) +void ndv_setup(int mod,int trace,NODE f) { int i,j,td,len,max; NODE s,s0,f0; - unsigned int *d; + UINT *d; RHist r; - NDV a; + NDV a,am; nd_found = 0; nd_notfirst = 0; nd_create = 0; @@ -1965,71 +2306,58 @@ void nd_setup(int mod,int trace,NODE f) nd_ps = (NDV *)MALLOC(nd_pslen*sizeof(NDV)); nd_ps_trace = (NDV *)MALLOC(nd_pslen*sizeof(NDV)); nd_psh = (RHist *)MALLOC(nd_pslen*sizeof(RHist)); - nd_bound = (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); - } + nd_bound = (UINT **)MALLOC(nd_pslen*sizeof(UINT *)); + if ( !nd_red ) nd_red = (RHist *)MALLOC(REDTAB_LEN*sizeof(RHist)); bzero(nd_red,REDTAB_LEN*sizeof(RHist)); - - 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; - - nd_setup_parameters(); nd_free_private_storage(); for ( i = 0; i < nd_psn; i++, f = NEXT(f) ) { - NEWRHist(r); - a = dptondv(mod,(DP)BDY(f)); ndv_removecont(mod,a); - SG(r) = HTD(a); ndl_copy(HDL(a),DL(r)); - - nd_ps[i] = a; if ( trace ) { - a = dptondv(0,(DP)BDY(f)); ndv_removecont(0,a); - nd_ps_trace[i] = a; + a = nd_ps_trace[i] = ndv_dup(0,(NDV)BDY(f)); + ndv_removecont(0,a); + am = nd_ps[i] = ndv_dup(mod,a); + ndv_mod(mod,am); + ndv_removecont(mod,am); + } else { + a = nd_ps[i] = ndv_dup(mod,(NDV)BDY(f)); + if ( mod ) ndv_mod(mod,a); + ndv_removecont(mod,a); } + NEWRHist(r); SG(r) = HTD(a); ndl_copy(HDL(a),DL(r)); + nd_bound[i] = ndv_compute_bound(a); nd_psh[i] = r; } } -void nd_gr(LIST f,LIST v,int m,struct order_spec *ord,LIST *rp) +void nd_gr(LIST f,LIST v,int m,int f4,struct order_spec *ord,LIST *rp) { - struct order_spec ord1; - VL fv,vv,vc; + VL tv,fv,vv,vc; NODE fd,fd0,r,r0,t,x,s,xx; - DP a,b,c; + int e,max,nvar; + ND b; get_vars((Obj)f,&fv); pltovl(v,&vv); - nd_nvar = length(vv); + nvar = length(vv); nd_init_ord(ord); - /* XXX for DP */ - initd(ord); + for ( t = BDY(f), max = 0; t; t = NEXT(t) ) + for ( tv = vv; tv; tv = NEXT(tv) ) { + e = getdeg(tv->v,(P)BDY(t)); + max = MAX(e,max); + } + nd_setup_parameters(nvar,max); for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) { - ptod(CO,vv,(P)BDY(t),&b); - NEXTNODE(fd0,fd); BDY(fd) = (pointer)b; + b = (pointer)ptondv(CO,vv,(P)BDY(t)); + if ( b ) { NEXTNODE(fd0,fd); BDY(fd) = (pointer)b; } } if ( fd0 ) NEXT(fd) = 0; - nd_setup(m,0,fd0); - x = nd_gb(m,0); - fprintf(asir_out,"found=%d,notfirst=%d,create=%d\n", - nd_found,nd_notfirst,nd_create); - x = nd_reducebase(x); - x = nd_reduceall(m,x); + ndv_setup(m,0,fd0); + x = f4?nd_f4(m):nd_gb(m,0); + x = ndv_reducebase(x); + x = ndv_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)); - } + BDY(r) = ndvtop(m,CO,vv,BDY(t)); } if ( r0 ) NEXT(r) = 0; MKLIST(*rp,r0); @@ -2038,11 +2366,14 @@ void nd_gr(LIST f,LIST v,int m,struct order_spec *ord, void nd_gr_trace(LIST f,LIST v,int trace,int homo,struct order_spec *ord,LIST *rp) { struct order_spec ord1; - VL fv,vv,vc; + VL tv,fv,vv,vc; NODE fd,fd0,in0,in,r,r0,t,s,cand; - int m,nocheck,nvar,mindex; - DP a,b,c,h; + int m,nocheck,nvar,mindex,e,max; + NDV c; + NMV a; P p; + EPOS oepos; + int obpe,oadv,wmax,i,len,cbpe; get_vars((Obj)f,&fv); pltovl(v,&vv); nvar = length(vv); @@ -2055,91 +2386,85 @@ void nd_gr_trace(LIST f,LIST v,int trace,int homo,stru nocheck = 1; } m = trace > 1 ? trace : get_lprime(mindex); - - 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; - } + for ( t = BDY(f), max = 0; t; t = NEXT(t) ) + for ( tv = vv; tv; tv = NEXT(tv) ) { + e = getdeg(tv->v,(P)BDY(t)); + max = MAX(e,max); } - if ( fd0 ) NEXT(fd) = 0; - if ( in0 ) NEXT(in) = 0; - } 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; - } + nd_init_ord(ord); + nd_setup_parameters(nvar,max); + obpe = nd_bpe; oadv = nmv_adv; oepos = nd_epos; + for ( in0 = 0, fd0 = 0, t = BDY(f); t; t = NEXT(t) ) { + c = ptondv(CO,vv,(P)BDY(t)); + if ( c ) { + NEXTNODE(in0,in); BDY(in) = (pointer)c; + NEXTNODE(fd0,fd); BDY(fd) = (pointer)ndv_dup(0,c); } - if ( fd0 ) NEXT(fd) = 0; - in0 = fd0; } - while ( 1 ) { - if ( homo ) { - nd_init_ord(&ord1); - initd(&ord1); - nd_nvar = nvar+1; - } else { - nd_init_ord(ord); - nd_nvar = nvar; + if ( in0 ) NEXT(in) = 0; + if ( fd0 ) NEXT(fd) = 0; + if ( homo ) { + for ( t = in0, wmax = 0; 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); } - nd_setup(m,1,fd0); + 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); + } + while ( 1 ) { + ndv_setup(m,1,fd0); cand = nd_gb_trace(m); if ( !cand ) { /* failure */ - if ( trace > 1 ) { - *rp = 0; return; - } else - m = get_lprime(++mindex); + if ( trace > 1 ) { *rp = 0; return; } + else m = get_lprime(++mindex); continue; } - if ( homo ) { /* dehomogenization */ - for ( t = cand; t; t = NEXT(t) ) - ndv_dehomogenize((NDV)BDY(t),ord); - nd_nvar = nvar; - initd(ord); + for ( t = cand; t; t = NEXT(t) ) ndv_dehomogenize((NDV)BDY(t),ord); nd_init_ord(ord); - nd_setup_parameters(); + nd_setup_parameters(nvar,0); } - 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; - if ( nocheck || nd_check_candidate(in0,cand) ) + cand = ndv_reducebase(cand); + cand = ndv_reduceall(0,cand); + if ( nocheck ) + break; + cbpe = nd_bpe; + if ( ndv_check_candidate(in0,obpe,oadv,oepos,cand) ) /* success */ break; else if ( trace > 1 ) { /* failure */ *rp = 0; return; - } else + } else { /* try the next modulus */ m = get_lprime(++mindex); + /* reset the parameters */ + if ( homo ) { + nd_init_ord(&ord1); + nd_setup_parameters(nvar+1,wmax); + } else { + nd_init_ord(ord); + nd_setup_parameters(nvar,max); + } + } } /* dp->p */ - for ( r = cand; r; r = NEXT(r) ) { - dtop(CO,vv,BDY(r),&p); - BDY(r) = (pointer)p; - } + nd_bpe = cbpe; + nd_setup_parameters(0,0); + for ( r = cand; r; r = NEXT(r) ) BDY(r) = (pointer)ndvtop(0,CO,vv,BDY(r)); MKLIST(*rp,cand); } -void dltondl(int n,DL dl,unsigned int *r) +void dltondl(int n,DL dl,UINT *r) { - unsigned int *d; - int i,j,l,s,ord_l,ord_o; + UINT *d; + int i,j,l,s,ord_l; struct order_pair *op; d = dl->d; @@ -2148,30 +2473,22 @@ void dltondl(int n,DL dl,unsigned int *r) l = nd_blockmask->n; op = nd_blockmask->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++ ) - PUT_EXP(r,s+ord_l-i-1,d[s+i]); - else - for ( i = 0; i < ord_l; i++ ) - PUT_EXP(r,s+i,d[s+i]); - s += ord_l; + for ( i = 0; i < ord_l; i++, s++ ) PUT_EXP(r,s,d[s]); } TD(r) = ndl_weight(r); - for ( j = 0; j < l; j++ ) - r[j+1] = ndl_weight_mask(r,j); + 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,unsigned int *ndl) +DL ndltodl(int n,UINT *ndl) { DL dl; int *d; - int i,j,l,s,ord_l,ord_o; + int i,j,l,s,ord_l; struct order_pair *op; NEWDL(dl,n); @@ -2181,15 +2498,8 @@ DL ndltodl(int n,unsigned int *ndl) l = nd_blockmask->n; op = nd_blockmask->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++ ) - d[s+i] = GET_EXP(ndl,s+ord_l-i-1); - else - for ( i = 0; i < ord_l; i++ ) - d[s+i] = GET_EXP(ndl,s+i); - s += ord_l; + 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); @@ -2197,56 +2507,10 @@ DL ndltodl(int n,unsigned int *ndl) return dl; } -ND dptond(int mod,DP p) +void ndl_print(UINT *dl) { - ND d; - NM m0,m; - MP t; - int n,l; - - 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)); - } - NEXT(m) = 0; - MKND(n,m0,l,d); - SG(d) = SG(p); - return d; -} - -DP ndtodp(int mod,ND p) -{ - DP d; - MP m0,m; - NM t; int n; - - 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; -} - -void ndl_print(unsigned int *dl) -{ - int n; - int i,j,l,ord_o,ord_l,s,s0; + int i,j,l,ord_l,s,s0; struct order_pair *op; n = nd_nvar; @@ -2255,14 +2519,9 @@ void ndl_print(unsigned int *dl) l = nd_blockmask->n; op = nd_blockmask->order_pair; for ( j = 0, s = s0 = 0; j < l; j++ ) { - ord_o = op[j].order; ord_l = op[j].length; - if ( !ord_o ) - for ( i = 0, s0 += ord_l; i < ord_l; i++, s++ ) - printf(s==n-1?"%d":"%d,",GET_EXP(dl,s0-i-1)); - else - for ( i = 0; i < ord_l; i++, s++ ) - printf(s==n-1?"%d":"%d,",GET_EXP(dl,s)); + 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)); @@ -2379,13 +2638,33 @@ void ndv_removecont(int mod,NDV p) } } +void ndv_homogenize(NDV p,int obpe,int oadv,EPOS oepos) +{ + int len,i,max; + NMV m,mr0,mr,t; + + len = p->len; + for ( m = BDY(p), i = 0, max = 0; i < len; NMV_OADV(m), i++ ) + max = MAX(max,TD(DL(m))); + mr0 = nmv_adv>oadv?(NMV)REALLOC(BDY(p),len*nmv_adv):BDY(p); + m = (NMV)((char *)mr0+(len-1)*oadv); + mr = (NMV)((char *)mr0+(len-1)*nmv_adv); + t = (NMV)ALLOCA(nmv_adv); + for ( i = 0; i < len; i++, NMV_OPREV(m), NMV_PREV(mr) ) { + ndl_homogenize(DL(m),DL(t),obpe,oepos,max); + CQ(mr) = CQ(m); + ndl_copy(DL(t),DL(mr)); + } + NV(p)++; + BDY(p) = mr0; +} + void ndv_dehomogenize(NDV p,struct order_spec *ord) { int i,j,adj,len,newnvar,newwpd,newadv,newexporigin; Q *w; Q dvr,t; NMV m,r; -#define NEWADV(m) (m = (NMV)(((char *)m)+newadv)) len = p->len; newnvar = nd_nvar-1; @@ -2394,8 +2673,8 @@ void ndv_dehomogenize(NDV p,struct order_spec *ord) for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) ndl_dehomogenize(DL(m)); if ( newwpd != nd_wpd ) { - newadv = sizeof(struct oNMV)+(newwpd-1)*sizeof(unsigned int); - for ( m = r = BDY(p), i = 0; i < len; NMV_ADV(m), NEWADV(r), i++ ) { + newadv = 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); for ( j = 0; j < newexporigin; j++ ) DL(r)[j] = DL(m)[j]; adj = nd_exporigin-newexporigin; @@ -2464,6 +2743,17 @@ void nd_mul_c_q(ND p,Q mul) } } +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; @@ -2483,7 +2773,7 @@ void ndv_free(NDV p) GC_free(BDY(p)); } -void nd_append_red(unsigned int *d,int i) +void nd_append_red(UINT *d,int i) { RHist m,m0; int h; @@ -2496,42 +2786,17 @@ void nd_append_red(unsigned int *d,int i) 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; - - 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; -} - -unsigned int *ndv_compute_bound(NDV p) -{ - unsigned int *d1,*d2,*t; - int i,l,len; + UINT *d1,*d2,*t; + UINT u; + int i,j,k,l,len,ind; NMV m; if ( !p ) return 0; - d1 = (unsigned int *)ALLOCA(nd_wpd*sizeof(unsigned int)); - d2 = (unsigned int *)ALLOCA(nd_wpd*sizeof(unsigned int)); + d1 = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); + d2 = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); len = LEN(p); m = BDY(p); ndl_copy(DL(m),d1); NMV_ADV(m); for ( i = 1; i < len; i++, NMV_ADV(m) ) { @@ -2539,9 +2804,14 @@ unsigned int *ndv_compute_bound(NDV p) 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] = GET_EXP(d1,i); - for ( ; i < l; i++ ) t[i] = 0; + 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; } @@ -2559,26 +2829,32 @@ int nd_get_exporigin(struct order_spec *ord) } } -void nd_setup_parameters() { - int i,n,elen; +void nd_setup_parameters(int nvar,int max) { + int i,j,n,elen,ord_o,ord_l,l,s; + struct order_pair *op; - nd_epw = (sizeof(unsigned int)*8)/nd_bpe; + /* if max == 0, don't touch nd_bpe */ + if ( max > 0 ) { + if ( max < 2 ) nd_bpe = 1; + 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; + } + /* nvar == 0, don't touch nd_nvar */ + if ( nvar > 0 ) nd_nvar = nvar; + + 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); nd_wpd = nd_exporigin+elen; - nd_epos = (EPOS)MALLOC_ATOMIC(nd_nvar*sizeof(struct oEPOS)); - if ( nd_isrlex ) { - for ( i = 0; i < nd_nvar; i++ ) { - nd_epos[i].i = nd_exporigin + (nd_nvar-1-i)/nd_epw; - nd_epos[i].s = (nd_epw-((nd_nvar-1-i)%nd_epw)-1)*nd_bpe; - } - } else { - for ( i = 0; i < nd_nvar; i++ ) { - nd_epos[i].i = nd_exporigin + i/nd_epw; - nd_epos[i].s = (nd_epw-(i%nd_epw)-1)*nd_bpe; - } - } + if ( nd_bpe < 32 ) { nd_mask0 = (1<i1 = t->i1; s->i2 = t->i2; SG(s) = SG(t); - ndl_reconstruct(obpe,oepos,LCM(t),LCM(s)); + ndl_reconstruct(LCM(t),LCM(s),obpe,oepos); } old_red = (RHist *)ALLOCA(REDTAB_LEN*sizeof(RHist)); @@ -2643,7 +2924,7 @@ ND_pairs nd_reconstruct(int mod,int trace,ND_pairs d) NEWRHist(mr); mr->index = r->index; SG(mr) = SG(r); - ndl_reconstruct(obpe,oepos,DL(r),DL(mr)); + ndl_reconstruct(DL(r),DL(mr),obpe,oepos); h = ndl_hash_value(DL(mr)); NEXT(mr) = nd_red[h]; nd_red[h] = mr; @@ -2652,7 +2933,7 @@ ND_pairs nd_reconstruct(int mod,int trace,ND_pairs d) old_red = 0; for ( i = 0; i < nd_psn; i++ ) { NEWRHist(r); SG(r) = SG(nd_psh[i]); - ndl_reconstruct(obpe,oepos,DL(nd_psh[i]),DL(r)); + ndl_reconstruct(DL(nd_psh[i]),DL(r),obpe,oepos); nd_psh[i] = r; } if ( s0 ) NEXT(s) = 0; @@ -2665,7 +2946,7 @@ ND_pairs nd_reconstruct(int mod,int trace,ND_pairs d) void nd_reconstruct_direct(int mod,NDV *ps,int len) { int i,obpe,oadv,h; - unsigned int **bound; + UINT **bound; NM prev_nm_free_list; RHist mr0,mr; RHist r; @@ -2676,14 +2957,18 @@ void nd_reconstruct_direct(int mod,NDV *ps,int len) obpe = nd_bpe; oadv = nmv_adv; oepos = nd_epos; - if ( obpe < 4 ) nd_bpe = 4; + if ( obpe < 2 ) nd_bpe = 2; + else if ( obpe < 3 ) nd_bpe = 3; + else if ( obpe < 4 ) nd_bpe = 4; + else if ( obpe < 5 ) nd_bpe = 5; else if ( obpe < 6 ) nd_bpe = 6; else if ( obpe < 8 ) nd_bpe = 8; + else if ( obpe < 10 ) nd_bpe = 10; else if ( obpe < 16 ) nd_bpe = 16; else if ( obpe < 32 ) nd_bpe = 32; else error("nd_reconstruct_direct : exponent too large"); - nd_setup_parameters(); + nd_setup_parameters(0,0); prev_nm_free_list = _nm_free_list; prev_ndp_free_list = _ndp_free_list; _nm_free_list = 0; _ndp_free_list = 0; @@ -2693,15 +2978,13 @@ void nd_reconstruct_direct(int mod,NDV *ps,int len) GC_gcollect(); } -void ndl_reconstruct(int obpe,EPOS oepos,unsigned int *d,unsigned int *r) +void ndl_reconstruct(UINT *d,UINT *r,int obpe,EPOS oepos) { - int n,i,ei,oepw,omask0,j,s,ord_l,ord_o,l; + int n,i,ei,oepw,omask0,j,s,ord_l,l; struct order_pair *op; -#define GET_EXP_OLD(d,a) (((d)[oepos[a].i]>>oepos[a].s)&omask0) -#define PUT_EXP_OLD(r,a,e) ((r)[oepos[a].i] |= ((e)<= 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); @@ -2914,40 +3187,32 @@ void weyl_mul_nm_nmv(int n,int mod,NM m0,NMV m1,NM *ta TD(d) = s; PUT_EXP(d,n-1,s-h); } else TD(d) = h; - /* XXX other weights */ + if ( nd_blockmask ) ndl_weight_mask(d); if ( mod ) c = ctab[j]; else q = ctab_q[j]; - for ( u = 0; u < curlen; u++, p++ ) { - if ( tab[u] ) { - NEWNM(t); - ndl_add(DL(tab[u]),d,DL(t)); - if ( mod ) { - c0 = CM(tab[u]); DMAR(c0,c,0,mod,c1); CM(t) = c1; - } else - mulq(CQ(tab[u]),q,&CQ(t)); - *p = t; + p = tab+curlen*j; + if ( j == 0 ) { + for ( u = 0; u < curlen; u++, p++ ) { + if ( tab[u] ) { + ndl_addto(DL(tab[u]),d); + if ( mod ) { + c0 = CM(tab[u]); DMAR(c0,c,0,mod,c1); CM(tab[u]) = c1; + } else { + mulq(CQ(tab[u]),q,&q1); CQ(tab[u]) = q1; + } + } } - } - } - /* destructive for j = 0 */ - for ( u = 0; u < nd_wpd; u++ ) d[u] = 0; - PUT_EXP(d,i,a); PUT_EXP(d,n2+i,b); - h = MUL_WEIGHT(a,i)+MUL_WEIGHT(b,n2+i); - if ( homo ) { - TD(d) = s; - PUT_EXP(d,n-1,s-h); - } else TD(d) = h; - /* XXX other weights */ - if ( mod ) c = ctab[0]; - else q = ctab_q[0]; - p = tab; - for ( u = 0; u < curlen; u++, p++ ) { - if ( tab[u] ) { - ndl_addto(DL(tab[u]),d); - if ( mod ) { - c0 = CM(tab[u]); DMAR(c0,c,0,mod,c1); CM(tab[u]) = c1; - } else { - mulq(CQ(tab[u]),q,&q1); CQ(tab[u]) = q1; + } else { + for ( u = 0; u < curlen; u++, p++ ) { + if ( tab[u] ) { + NEWNM(t); + ndl_add(DL(tab[u]),d,DL(t)); + if ( mod ) { + c0 = CM(tab[u]); DMAR(c0,c,0,mod,c1); CM(t) = c1; + } else + mulq(CQ(tab[u]),q,&CQ(t)); + *p = t; + } } } } @@ -2956,11 +3221,40 @@ void weyl_mul_nm_nmv(int n,int mod,NM m0,NMV m1,NM *ta FREENM(m); } +ND ndv_mul_nm_symbolic(NM m0,NDV p) +{ + NM mr,mr0; + NMV m; + UINT *d,*dt,*dm; + int c,n,td,i,c1,c2,len; + Q q; + ND r; + + if ( !p ) return 0; + else { + n = NV(p); m = BDY(p); + d = DL(m0); + len = LEN(p); + mr0 = 0; + td = TD(d); + c = CM(m0); + for ( i = 0; i < len; i++, NMV_ADV(m) ) { + NEXTNM(mr0,mr); + CM(mr) = 1; + ndl_add(DL(m),d,DL(mr)); + } + NEXT(mr) = 0; + MKND(NV(p),mr0,len,r); + SG(r) = SG(p) + TD(d); + return r; + } +} + ND ndv_mul_nm(int mod,NM m0,NDV p) { NM mr,mr0; NMV m; - unsigned int *d,*dt,*dm; + UINT *d,*dt,*dm; int c,n,td,i,c1,c2,len; Q q; ND r; @@ -3003,36 +3297,53 @@ void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos) NMV m,mr,mr0,t; int len,i,k; -#define NMV_OPREV(m) (m = (NMV)(((char *)m)-oadv)) + if ( !p ) return; + m = BDY(p); len = LEN(p); + mr0 = nmv_adv>oadv?(NMV)REALLOC(BDY(p),len*nmv_adv):BDY(p); + m = (NMV)((char *)mr0+(len-1)*oadv); + mr = (NMV)((char *)mr0+(len-1)*nmv_adv); + t = (NMV)ALLOCA(nmv_adv); + for ( i = 0; i < len; i++, NMV_OPREV(m), NMV_PREV(mr) ) { + CQ(t) = CQ(m); + for ( k = 0; k < nd_wpd; k++ ) DL(t)[k] = 0; + ndl_reconstruct(DL(m),DL(t),obpe,oepos); + CQ(mr) = CQ(t); + ndl_copy(DL(t),DL(mr)); + } + BDY(p) = mr0; +} - 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_reconstruct(obpe,oepos,DL(m),DL(t)); - 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; } -NDV ndtondv(int mod,ND p) +/* duplicate p */ + +NDV ndv_dup(int mod,NDV p) { NDV d; - NMV m,m0; - NM t; + NMV t,m,m0; int i,len; if ( !p ) return 0; len = LEN(p); m0 = m = (NMV)(mod?MALLOC_ATOMIC(len*nmv_adv):MALLOC(len*nmv_adv)); - for ( t = BDY(p), i = 0; t; t = NEXT(t), i++, NMV_ADV(m) ) { + 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); } @@ -3041,74 +3352,177 @@ NDV ndtondv(int mod,ND p) return d; } -ND ndvtond(int mod,NDV p) +ND nd_dup(ND p) { ND d; - NM m,m0; - NMV t; - int i,len; + NM t,m,m0; if ( !p ) return 0; - m0 = 0; - len = p->len; - for ( t = BDY(p), i = 0; i < len; NMV_ADV(t), i++ ) { + for ( m0 = 0, t = BDY(p); t; t = NEXT(t) ) { NEXTNM(m0,m); ndl_copy(DL(t),DL(m)); CQ(m) = CQ(t); } - NEXT(m) = 0; - MKND(NV(p),m0,len,d); + if ( m0 ) NEXT(m) = 0; + MKND(NV(p),m0,LEN(p),d); SG(d) = SG(p); return d; } -NDV dptondv(int mod,DP p) +/* XXX if p->len == 0 then it represents 0 */ + +void ndv_mod(int mod,NDV p) { - NDV d; - NMV m0,m; - MP t; - DP q; - int l,i,n; + NMV t,d; + int r; + int i,len,dlen; - if ( mod ) { - _dp_mod(p,mod,0,&q); p = q; + if ( !p ) return; + len = LEN(p); + dlen = 0; + for ( t = d = BDY(p), i = 0; i < len; i++, NMV_ADV(t) ) { + r = rem(NM(CQ(t)),mod); + if ( r ) { + if ( SGN(CQ(t)) < 0 ) + r = mod-r; + CM(d) = r; + ndl_copy(DL(t),DL(d)); + NMV_ADV(d); + dlen++; + } } + LEN(p) = dlen; +} + +NDV ptondv(VL vl,VL dvl,P p) +{ + ND nd; + + nd = ptond(vl,dvl,p); + return ndtondv(0,nd); +} + +ND ptond(VL vl,VL dvl,P p) +{ + int n,i,j,k,e; + VL tvl; + V v; + DCP dc; + DCP *w; + ND r,s,t,u; + P x; + int c; + UINT *d; + NM m,m0; + + if ( !p ) + return 0; + else if ( NUM(p) ) { + NEWNM(m); + ndl_zero(DL(m)); + CQ(m) = (Q)p; + NEXT(m) = 0; + MKND(nd_nvar,m,1,r); + SG(r) = 0; + return r; + } else { + for ( dc = DC(p), k = 0; dc; dc = NEXT(dc), k++ ); + w = (DCP *)ALLOCA(k*sizeof(DCP)); + for ( dc = DC(p), j = 0; j < k; dc = NEXT(dc), j++ ) w[j] = dc; + for ( i = 0, tvl = dvl, v = VR(p); + vl && 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); + 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; + if ( !p ) return 0; - for ( t = BDY(p), l = 0; t; t = NEXT(t), l++ ); - if ( mod ) - m0 = m = (NMV)MALLOC_ATOMIC(l*nmv_adv); - else - m0 = m = (NMV)MALLOC(l*nmv_adv); - n = NV(p); - for ( t = BDY(p); t; t = NEXT(t), NMV_ADV(m) ) { - if ( mod ) CM(m) = ITOS(C(t)); - else CQ(m) = (Q)C(t); - dltondl(n,DL(t),DL(m)); + 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 ) { + 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; } - MKNDV(n,m0,l,d); +} + +NDV ndtondv(int mod,ND p) +{ + NDV d; + NMV m,m0; + NM t; + int i,len; + + if ( !p ) return 0; + len = LEN(p); + m0 = m = (NMV)(mod?MALLOC_ATOMIC(len*nmv_adv):MALLOC(len*nmv_adv)); + for ( t = BDY(p), i = 0; 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; } -DP ndvtodp(int mod,NDV p) +ND ndvtond(int mod,NDV p) { - DP d; - MP m0,m; + ND d; + NM m,m0; NMV t; - int len,i,n; + int i,len; 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)); + 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; - MKDP(NV(p),m0,d); + MKND(NV(p),m0,len,d); SG(d) = SG(p); return d; } @@ -3147,7 +3561,7 @@ void ndv_print_q(NDV p) } } -NODE nd_reducebase(NODE x) +NODE ndv_reducebase(NODE x) { int len,i,j; NDV *w; @@ -3190,6 +3604,12 @@ void nd_init_ord(struct order_spec *ord) 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"); } @@ -3210,7 +3630,7 @@ void nd_init_ord(struct order_spec *ord) BlockMask nd_create_blockmask(struct order_spec *ord) { int n,i,j,s,l; - unsigned int *t; + UINT *t; BlockMask bm; if ( !ord->id ) @@ -3219,13 +3639,374 @@ BlockMask nd_create_blockmask(struct order_spec *ord) bm = (BlockMask)MALLOC(sizeof(struct oBlockMask)); bm->n = n; bm->order_pair = ord->ord.block.order_pair; - bm->mask = (unsigned int **)MALLOC(n*sizeof(unsigned int *)); + bm->mask = (UINT **)MALLOC(n*sizeof(UINT *)); for ( i = 0, s = 0; i < n; i++ ) { - bm->mask[i] = t - = (unsigned int *)MALLOC_ATOMIC(nd_wpd*sizeof(unsigned int)); + 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: + 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: + /* 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: + error("nd_create_epos : matrix order is not supported yet."); + } + return epos; +} + +/* external interface */ + +void nd_nf_p(P f,LIST g,LIST v,int m,struct order_spec *ord,P *rp) +{ + NODE t,in0,in; + ND nd,nf; + NDV ndv; + VL vv,tv; + int stat,nvar,max,e; + + pltovl(v,&vv); + nvar = length(vv); + + /* get the degree bound */ + for ( t = BDY(g), max = 0; t; t = NEXT(t) ) + for ( tv = vv; tv; tv = NEXT(tv) ) { + e = getdeg(tv->v,(P)BDY(t)); + max = MAX(e,max); + } + for ( tv = vv; tv; tv = NEXT(tv) ) { + e = getdeg(tv->v,f); + max = MAX(e,max); + } + + nd_init_ord(ord); + nd_setup_parameters(nvar,max); + + /* conversion to ndv */ + for ( in0 = 0, t = BDY(g); t; t = NEXT(t) ) { + NEXTNODE(in0,in); + BDY(in) = (pointer)ptondv(CO,vv,(P)BDY(t)); + } + NEXTNODE(in0,in); + BDY(in) = (pointer)ptondv(CO,vv,f); + NEXT(in) = 0; + + ndv_setup(m,0,in0); + nd_psn--; + nd_scale=2; + while ( 1 ) { + nd = (pointer)ndvtond(m,nd_ps[nd_psn]); + stat = nd_nf(m,nd,nd_ps,1,&nf); + if ( !stat ) { + nd_psn++; + nd_reconstruct(m,0,0); + nd_psn--; + } else + break; + } + *rp = ndvtop(m,CO,vv,ndtondv(m,nf)); +} + +int nd_to_vect(int mod,UINT *s0,int n,ND d,UINT *r) +{ + NM m; + UINT *t,*s; + int i; + + for ( i = 0; i < n; i++ ) r[i] = 0; + for ( i = 0, s = s0, m = BDY(d); m; m = NEXT(m) ) { + t = DL(m); + for ( ; !ndl_equal(t,s); s += nd_wpd, i++ ); + r[i] = CM(m); + } + for ( i = 0; !r[i]; i++ ); + return i; +} + +int nm_ind_pair_to_vect(int mod,UINT *s0,int n,NM_ind_pair pair,UINT *r) +{ + NM m; + NMV mr; + UINT *d,*t,*s; + NDV p; + int i,j,len; + + m = pair->mul; + d = DL(m); + p = nd_ps[pair->index]; + t = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); + for ( i = 0; i < n; i++ ) r[i] = 0; + len = LEN(p); + 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] = CM(mr); + } + for ( i = 0; !r[i]; i++ ); + return i; +} + +void nm_ind_pair_to_vect_compress(int mod,UINT *s0,int n,NM_ind_pair pair,int *ind) +{ + NM m; + NMV mr; + UINT *d,*t,*s; + NDV p; + int i,j,len; + + m = pair->mul; + d = DL(m); + p = nd_ps[pair->index]; + len = LEN(p); + t = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); + for ( i = j = 0, s = s0, mr = BDY(p); j < len; j++, NMV_ADV(mr) ) { + ndl_add(d,DL(mr),t); + for ( ; !ndl_equal(t,s); s += nd_wpd, i++ ); + ind[j] = i; + } +} + + +void ndv_reduce_vect(int m,UINT *svect,int **imat,NODE rp0) +{ + int i,j,k,len,pos; + UINT c,c1,c2,c3; + UINT *ivect; + NDV redv; + NMV mr0,mr; + NODE rp; + + for ( rp = rp0, i = 0; rp; i++, rp = NEXT(rp) ) { + ivect = imat[i]; + k = ivect[0]; + if ( c = svect[k] ) { + c = m-c; + redv = nd_ps[((NM_ind_pair)BDY(rp))->index]; + len = LEN(redv); + mr0 = BDY(redv); + for ( j = 0, mr = mr0; j < len; j++, NMV_ADV(mr) ) { + pos = ivect[j]; + c1 = CM(mr); + c2 = svect[pos]; DMAR(c1,c,c2,m,c3); + svect[pos] = c3; + } + } + } +} + +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(nmv_adv*len); + 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; + } +} + +NODE nd_sp_f4(int m,ND_pairs l,PGeoBucket bucket) +{ + ND_pairs t; + NODE sp0,sp; + int stat; + ND spol; + + sp0 = 0; + for ( t = l; t; t = NEXT(t) ) { + stat = nd_sp(m,0,t,&spol); + if ( !stat ) return 0; + if ( spol ) { + NEXTNODE(sp0,sp); BDY(sp) = (pointer)nd_dup(spol); + add_pbucket_symbolic(bucket,spol); + } + } + return sp0; +} + +int nd_symbolic_preproc(PGeoBucket bucket,UINT **s0vect,NODE *r) +{ + NODE rp0,rp; + NM mul,head,s0,s; + int index,col,i; + RHist h; + UINT *s0v,*p; + NM_ind_pair pair; + ND red; + + s0 = 0; rp0 = 0; col = 0; + 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; + MKNM_ind_pair(pair,mul,index); + red = ndv_mul_nm_symbolic(mul,nd_ps[index]); + add_pbucket_symbolic(bucket,nd_remove_head(red)); + NEXTNODE(rp0,rp); BDY(rp) = (pointer)pair; + } + col++; + } + 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 i,nh,stat,index; + NODE r,g; + ND_pairs d,l,t; + ND spol,red; + NDV nf,redv; + NM s0,s; + NODE sp0,sp,rp0,rp; + int nsp,nred,col,rank,len,k,j,a; + UINT c; + UINT **spmat; + UINT *s0vect,*svect,*p,*v; + int *colstat; + int **imat; + int *rhead; + int spcol,sprow; + int sugar; + PGeoBucket bucket; + + if ( !m ) + error("nd_f4 : not implemented"); + + g = 0; d = 0; + for ( i = 0; i < nd_psn; i++ ) { + d = update_pairs(d,g,i); + g = update_base(g,i); + } + while ( d ) { + l = nd_minsugarp(d,&d); + sugar = SG(l); + bucket = create_pbucket(); + if ( !(sp0 = nd_sp_f4(m,l,bucket)) + || !(col = nd_symbolic_preproc(bucket,&s0vect,&rp0)) ) { + for ( t = l; NEXT(t); t = NEXT(t) ); + NEXT(t) = d; d = l; + d = nd_reconstruct(m,0,d); + continue; + } + + nsp = length(sp0); nred = length(rp0); spcol = col-nred; + imat = (int **)MALLOC(nred*sizeof(int *)); + rhead = (int *)MALLOC_ATOMIC(col*sizeof(int)); + for ( i = 0; i < col; i++ ) rhead[i] = 0; + + /* construction of index arrays */ + for ( rp = rp0, i = 0; rp; i++, rp = NEXT(rp) ) { + redv = nd_ps[((NM_ind_pair)BDY(rp))->index]; + imat[i] = (int *)MALLOC_ATOMIC(LEN(redv)*sizeof(int)); + nm_ind_pair_to_vect_compress(m,s0vect,col, + (NM_ind_pair)BDY(rp),imat[i]); + rhead[imat[i][0]] = 1; + } + + /* elimination (1st step) */ + spmat = (UINT **)MALLOC(nsp*sizeof(UINT *)); + svect = (UINT *)MALLOC_ATOMIC(col*sizeof(UINT)); + for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) { + nd_to_vect(m,s0vect,col,BDY(sp),svect); + ndv_reduce_vect(m,svect,imat,rp0); + 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]; + sprow++; + } + } + /* free index arrays */ + for ( i = 0; i < nred; i++ ) GC_free(imat[i]); + + /* elimination (2nd step) */ + colstat = (int *)ALLOCA(spcol*sizeof(int)); + rank = generic_gauss_elim_mod(spmat,sprow,spcol,m,colstat); + + fprintf(asir_out,"sugar=%d,rank=%d\n",sugar,rank); fflush(asir_out); + + /* adding new bases */ + for ( i = sprow-1; i >= rank; i-- ) GC_free(spmat[i]); + for ( ; i >= 0; i-- ) { + nf = vect_to_ndv(spmat[i],spcol,col,rhead,s0vect); + SG(nf) = sugar; + ndv_removecont(m,nf); + nh = ndv_newps(nf,0); + d = update_pairs(d,g,nh); + g = update_base(g,nh); + GC_free(spmat[i]); + } + } + for ( r = g; r; r = NEXT(r) ) BDY(r) = (pointer)nd_ps[(int)BDY(r)]; + return g; }