=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/nd.c,v retrieving revision 1.16 retrieving revision 1.25 diff -u -p -r1.16 -r1.25 --- OpenXM_contrib2/asir2000/engine/nd.c 2003/07/31 02:56:13 1.16 +++ OpenXM_contrib2/asir2000/engine/nd.c 2003/08/07 08:46:50 1.25 @@ -1,10 +1,8 @@ -/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.15 2003/07/31 01:02:39 noro Exp $ */ +/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.24 2003/08/05 08:06:21 noro Exp $ */ #include "ca.h" #include "inline.h" -#define USE_NDV 1 - #if defined(__GNUC__) #define INLINE inline #elif defined(VISUAL) @@ -55,7 +53,7 @@ typedef struct oNMV { typedef struct oRHist { struct oRHist *next; int index; - int td; + int td,sugar; unsigned int dl[1]; } *RHist; @@ -66,28 +64,32 @@ typedef struct oND_pairs { unsigned int lcm[1]; } *ND_pairs; +double nd_scale=2; static unsigned int **nd_bound; -int nd_mod,nd_nvar; +int nd_nvar; int is_rlex; int nd_epw,nd_bpe,nd_wpd; unsigned int nd_mask[32]; unsigned int nd_mask0,nd_mask1; + NM _nm_free_list; ND _nd_free_list; ND_pairs _ndp_free_list; + +static NDV *nd_ps; +static NDV *nd_psq; +int *nd_psl; +RHist *nd_psh; +int nd_psn,nd_pslen; + RHist *nd_red; int nd_red_len; -extern int Top,Reverse; -int nd_psn,nd_pslen; int nd_found,nd_create,nd_notfirst; -int *nd_psl; -RHist *nd_psh; int nm_adv; -#define NM_ADV(m) (m = (NM)(((char *)m)+nm_adv)) +int nmv_adv; -void GC_gcollect(); -NODE append_one(NODE,int); +extern int Top,Reverse; #define HTD(d) ((d)->body->td) #define HDL(d) ((d)->body->dl) @@ -100,6 +102,7 @@ NODE append_one(NODE,int); #define SG(a) ((a)->sugar) #define LEN(a) ((a)->len) +#define NM_ADV(m) (m = (NM)(((char *)m)+nm_adv)) #define NEWRHist(r) \ ((r)=(RHist)MALLOC(sizeof(struct oRHist)+(nd_wpd-1)*sizeof(unsigned int))) #define NEWND_pairs(m) if(!_ndp_free_list)_NDP_alloc(); (m)=_ndp_free_list; _ndp_free_list = NEXT(_ndp_free_list) @@ -119,15 +122,30 @@ if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);} #define NEXTND_pairs(r,c) \ if(!(r)){NEWND_pairs(r);(c)=(r);}else{NEWND_pairs(NEXT(c));(c)=NEXT(c);} -void nd_removecont(ND p); -void ndv_removecont(NDV p); +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); +void add_pbucket(int mod,PGeoBucket g,ND d,int l); +void free_pbucket(PGeoBucket b); +PGeoBucket create_pbucket(); +ND nd_remove_head(ND p); +void GC_gcollect(); +NODE append_one(NODE,int); + +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); -NODE nd_setup(int mod,NODE f); +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 ); @@ -136,21 +154,26 @@ 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,NODE f); +NODE nd_gb(int m); +NODE nd_gb_trace(int m); void nd_free_private_storage(); void _NM_alloc(); void _ND_alloc(); int ndl_td(unsigned int *d); -ND nd_add(ND p1,ND p2); -ND nd_mul_nm(ND p,NM m0); -ND nd_mul_ind_nm(int index,NM m0); -ND nd_mul_term(ND p,int td,unsigned int *d); +int ndl_dehomogenize(unsigned int *p); +ND nd_add(int mod,ND p1,ND p2); +ND nd_add_q(ND p1,ND p2); +ND nd_mul_nm(int mod,ND p,NM m0); +ND nd_mul_ind_nm(int mod,int index,NM m0); 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); ND nd_reduce(ND p1,ND p2); ND nd_reduce_special(ND p1,ND p2); +NODE nd_reduceall(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); @@ -158,43 +181,30 @@ void ndv_print(NDV p); void ndv_print_q(NDV p); void ndp_print(ND_pairs d); int nd_length(ND p); -void nd_monic(ND p); -void nd_mul_c(ND p,int mul); +void nd_mul_c(int mod,ND p,int mul); void nd_free_redlist(); void nd_append_red(unsigned int *d,int td,int i); unsigned int *nd_compute_bound(ND p); unsigned int *dp_compute_bound(DP p); -ND_pairs nd_reconstruct(ND_pairs); +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 USE_NDV -static NDV *nd_ps; - #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; - -int nmv_adv; -int nmv_len; -NDV ndv_red; - -void ndv_mul_c(NDV p,int mul); -ND ndv_add(ND p1,NDV p2); -ND ndv_add_q(ND p1,NDV p2); +void ndv_mul_c(int mod,NDV p,int mul); NDV ndtondv(int mod,ND p); -void ndv_mul_nm(int mod,NDV pv,NM m,NDV r); -ND ndv_mul_nm_create(int mod,NDV p,NM m0); +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); -#else -static ND *nd_ps; -ND dptond(DP); -DP ndtodp(ND); -#endif +ND dptond(int,DP); +DP ndtodp(int,ND); void nd_free_private_storage() { @@ -316,6 +326,35 @@ INLINE int ndl_reducible(unsigned int *d1,unsigned int } } +/* returns the exponent of homo variable */ + +int ndl_dehomogenize(unsigned int *d) +{ + unsigned int mask; + unsigned int h; + int i; + + if ( is_rlex ) { + if ( nd_bpe == 32 ) { + h = d[0]; + for ( i = 1; i < nd_wpd; i++ ) + d[i-1] = d[i]; + d[i-1] = 0; + return h; + } else { + mask = (1<<(nd_epw*nd_bpe))-1; + h = (d[0]>>((nd_epw-1)*nd_bpe))&nd_mask0; + for ( i = 0; i < nd_wpd; i++ ) + d[i] = ((d[i]<>((nd_epw-1)*nd_bpe))&nd_mask0):0); + return h; + } + } else { + /* do nothing */ + return d[nd_wpd-1]; + } +} + void ndl_lcm(unsigned int *d1,unsigned *d2,unsigned int *d) { unsigned int t1,t2,u,u1,u2; @@ -550,205 +589,6 @@ int ndl_disjoint(unsigned int *d1,unsigned int *d2) } } -ND nd_reduce(ND p1,ND p2) -{ - int c,c1,c2,t,td,td2,mul; - NM m2,prev,head,cur,new; - unsigned int *d; - - if ( !p1 ) - return 0; - else { - c2 = invm(HCM(p2),nd_mod); - c1 = nd_mod-HCM(p1); - DMAR(c1,c2,0,nd_mod,mul); - td = HTD(p1)-HTD(p2); - d = (unsigned int *)ALLOCA(nd_wpd*sizeof(unsigned int)); - ndl_sub(HDL(p1),HDL(p2),d); - prev = 0; head = cur = BDY(p1); - NEWNM(new); - for ( m2 = BDY(p2); m2; ) { - td2 = TD(new) = TD(m2)+td; - ndl_add(DL(m2),d,DL(new)); - if ( !cur ) { - c1 = CM(m2); - DMAR(c1,mul,0,nd_mod,c2); - CM(new) = c2; - if ( !prev ) { - prev = new; - NEXT(prev) = 0; - head = prev; - } else { - NEXT(prev) = new; - NEXT(new) = 0; - prev = new; - } - m2 = NEXT(m2); - NEWNM(new); - continue; - } - if ( TD(cur) > td2 ) - c = 1; - else if ( TD(cur) < td2 ) - c = -1; - else - c = ndl_compare(DL(cur),DL(new)); - switch ( c ) { - case 0: - c2 = CM(m2); - c1 = CM(cur); - DMAR(c2,mul,c1,nd_mod,t); - if ( t ) - CM(cur) = t; - else if ( !prev ) { - head = NEXT(cur); - FREENM(cur); - cur = head; - } else { - NEXT(prev) = NEXT(cur); - FREENM(cur); - cur = NEXT(prev); - } - m2 = NEXT(m2); - break; - case 1: - prev = cur; - cur = NEXT(cur); - break; - case -1: - if ( !prev ) { - /* cur = head */ - prev = new; - c2 = CM(m2); - DMAR(c2,mul,0,nd_mod,c1); - CM(prev) = c1; - NEXT(prev) = head; - head = prev; - } else { - c2 = CM(m2); - DMAR(c2,mul,0,nd_mod,c1); - CM(new) = c1; - NEXT(prev) = new; - NEXT(new) = cur; - prev = new; - } - NEWNM(new); - m2 = NEXT(m2); - break; - } - } - FREENM(new); - if ( head ) { - BDY(p1) = head; - SG(p1) = MAX(SG(p1),SG(p2)+td); - return p1; - } else { - FREEND(p1); - return 0; - } - - } -} - -/* HDL(p1) = HDL(p2) */ - -ND nd_reduce_special(ND p1,ND p2) -{ - int c,c1,c2,t,td,td2,mul; - NM m2,prev,head,cur,new; - - if ( !p1 ) - return 0; - else { - c2 = invm(HCM(p2),nd_mod); - c1 = nd_mod-HCM(p1); - DMAR(c1,c2,0,nd_mod,mul); - prev = 0; head = cur = BDY(p1); - NEWNM(new); - for ( m2 = BDY(p2); m2; ) { - td2 = TD(new) = TD(m2); - if ( !cur ) { - c1 = CM(m2); - DMAR(c1,mul,0,nd_mod,c2); - CM(new) = c2; - bcopy(DL(m2),DL(new),nd_wpd*sizeof(unsigned int)); - if ( !prev ) { - prev = new; - NEXT(prev) = 0; - head = prev; - } else { - NEXT(prev) = new; - NEXT(new) = 0; - prev = new; - } - m2 = NEXT(m2); - NEWNM(new); - continue; - } - if ( TD(cur) > td2 ) - c = 1; - else if ( TD(cur) < td2 ) - c = -1; - else - c = ndl_compare(DL(cur),DL(m2)); - switch ( c ) { - case 0: - c2 = CM(m2); - c1 = CM(cur); - DMAR(c2,mul,c1,nd_mod,t); - if ( t ) - CM(cur) = t; - else if ( !prev ) { - head = NEXT(cur); - FREENM(cur); - cur = head; - } else { - NEXT(prev) = NEXT(cur); - FREENM(cur); - cur = NEXT(prev); - } - m2 = NEXT(m2); - break; - case 1: - prev = cur; - cur = NEXT(cur); - break; - case -1: - bcopy(DL(m2),DL(new),nd_wpd*sizeof(unsigned int)); - if ( !prev ) { - /* cur = head */ - prev = new; - c2 = CM(m2); - DMAR(c2,mul,0,nd_mod,c1); - CM(prev) = c1; - NEXT(prev) = head; - head = prev; - } else { - c2 = CM(m2); - DMAR(c2,mul,0,nd_mod,c1); - CM(new) = c1; - NEXT(prev) = new; - NEXT(new) = cur; - prev = new; - } - NEWNM(new); - m2 = NEXT(m2); - break; - } - } - FREENM(new); - if ( head ) { - BDY(p1) = head; - SG(p1)= MAX(SG(p1),SG(p2)+td); - return p1; - } else { - FREEND(p1); - return 0; - } - - } -} - int ndl_check_bound2(int index,unsigned int *d2) { unsigned int u2; @@ -818,6 +658,73 @@ int ndl_check_bound2(int index,unsigned int *d2) } } +int ndl_check_bound2_direct(unsigned int *d1,unsigned int *d2) +{ + unsigned int u1,u2; + int i,j,k; + + switch ( nd_bpe ) { + case 4: + for ( i = 0; 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 = 0; 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 = 0; 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 = 0; 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 = 0; i < nd_wpd; i++ ) + if ( d1[i]+d2[i]>k)&nd_mask0)+((u2>>k)&nd_mask0) > nd_mask0 ) + return 1; + } + return 0; + break; + } +} + INLINE int ndl_hash_value(int td,unsigned int *d) { int i; @@ -864,8 +771,32 @@ INLINE int nd_find_reducer(ND g) return -1; } -ND nd_add(ND p1,ND p2) +INLINE int nd_find_reducer_direct(ND g,NDV *ps,int len) { + int i; + NDV r; + + if ( Reverse ) + for ( i = len-1; i >= 0; i-- ) { + r = ps[i]; + if ( HTD(g) >= HTD(r) && ndl_reducible(HDL(g),HDL(r)) ) { + nd_append_red(HDL(g),HTD(g),i); + return i; + } + } + else + for ( i = 0; i < len; i++ ) { + r = ps[i]; + if ( HTD(g) >= HTD(r) && ndl_reducible(HDL(g),HDL(r)) ) { + nd_append_red(HDL(g),HTD(g),i); + return i; + } + } + return -1; +} + +ND nd_add(int mod,ND p1,ND p2) +{ int n,c; int t; ND r; @@ -875,6 +806,8 @@ ND nd_add(ND p1,ND p2) return p2; else if ( !p2 ) return p1; + else if ( !mod ) + return nd_add_q(p1,p2); else { for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) { if ( TD(m1) > TD(m2) ) @@ -885,9 +818,9 @@ ND nd_add(ND p1,ND p2) c = ndl_compare(DL(m1),DL(m2)); switch ( c ) { case 0: - t = ((CM(m1))+(CM(m2))) - nd_mod; + t = ((CM(m1))+(CM(m2))) - mod; if ( t < 0 ) - t += nd_mod; + t += mod; s = m1; m1 = NEXT(m1); if ( t ) { NEXTNM2(mr0,mr,s); CM(mr) = (t); @@ -924,6 +857,64 @@ ND nd_add(ND p1,ND p2) } } +ND nd_add_q(ND p1,ND p2) +{ + int n,c; + ND r; + NM m1,m2,mr0,mr,s; + Q t; + + if ( !p1 ) + return p2; + else if ( !p2 ) + return p1; + else { + for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) { + if ( TD(m1) > TD(m2) ) + c = 1; + else if ( TD(m1) < TD(m2) ) + c = -1; + else + c = ndl_compare(DL(m1),DL(m2)); + switch ( c ) { + case 0: + addq(CQ(m1),CQ(m2),&t); + s = m1; m1 = NEXT(m1); + if ( t ) { + NEXTNM2(mr0,mr,s); CQ(mr) = (t); + } else { + FREENM(s); + } + s = m2; m2 = NEXT(m2); FREENM(s); + break; + case 1: + s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s); + break; + case -1: + s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s); + break; + } + } + if ( !mr0 ) + if ( m1 ) + mr0 = m1; + else if ( m2 ) + mr0 = m2; + else + return 0; + else if ( m1 ) + NEXT(mr) = m1; + else if ( m2 ) + NEXT(mr) = m2; + else + NEXT(mr) = 0; + BDY(p1) = mr0; + SG(p1) = MAX(SG(p1),SG(p2)); + FREEND(p2); + return p1; + } +} + #if 1 /* ret=1 : success, ret=0 : overflow */ int nd_nf(int mod,ND g,int full,ND *rp) @@ -933,26 +924,27 @@ int nd_nf(int mod,ND g,int full,ND *rp) NM mul; int n,sugar,psugar,sugar0,stat,index; int c,c1,c2; -#if USE_NDV + RHist h; NDV p,red; -#else - ND p,red; -#endif Q cg,cred,gcd; + double hmag; if ( !g ) { *rp = 0; return 1; } + if ( !mod ) + hmag = ((double)p_mag((P)HCQ(g)))*nd_scale; + sugar0 = sugar = SG(g); n = NV(g); mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(unsigned int)); for ( d = 0; g; ) { index = nd_find_reducer(g); if ( index >= 0 ) { - p = nd_ps[index]; - ndl_sub(HDL(g),HDL(p),DL(mul)); - TD(mul) = HTD(g)-HTD(p); + h = nd_psh[index]; + ndl_sub(HDL(g),DL(h),DL(mul)); + TD(mul) = HTD(g)-TD(h); #if 0 if ( d && (SG(p)+TD(mul)) > sugar ) { goto afo; @@ -962,28 +954,22 @@ int nd_nf(int mod,ND g,int full,ND *rp) nd_free(g); nd_free(d); return 0; } -#if USE_NDV if ( mod ) { - c1 = invm(HCM(p),nd_mod); c2 = nd_mod-HCM(g); - DMAR(c1,c2,0,nd_mod,c); CM(mul) = c; - ndv_mul_nm(mod,nd_ps[index],mul,ndv_red); - g = ndv_add(g,ndv_red); + p = nd_ps[index]; + c1 = invm(HCM(p),mod); c2 = mod-HCM(g); + DMAR(c1,c2,0,mod,c); CM(mul) = c; } else { - igcd_cofactor(HCQ(g),HCQ(nd_ps[index]),&gcd,&cg,&cred); + 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); - ndv_mul_nm(mod,nd_ps[index],mul,ndv_red); - g = ndv_add_q(g,ndv_red); + nd_mul_c_q(d,cred); nd_mul_c_q(g,cred); } - sugar = MAX(sugar,SG(ndv_red)); -#else - c1 = invm(HCM(p),nd_mod); c2 = nd_mod-HCM(g); - DMAR(c1,c2,0,nd_mod,c); CM(mul) = c; - red = nd_mul_ind_nm(index,mul); - g = nd_add(g,red); - sugar = MAX(sugar,SG(red)); -#endif + g = nd_add(mod,g,ndv_mul_nm(mod,p,mul)); + sugar = MAX(sugar,SG(p)+TD(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; @@ -1010,7 +996,166 @@ afo: return 1; } #else +int nd_nf(int mod,ND g,int full,ND *rp) +{ + int hindex,index; + NDV p; + ND u,d,red; + NODE l; + NM mul,m,mrd; + int sugar,psugar,n,h_reducible; + PGeoBucket bucket; + int c,c1,c2; + Q cg,cred,gcd; + RHist h; + if ( !g ) { + *rp = 0; + return 1; + } + sugar = SG(g); + n = NV(g); + bucket = create_pbucket(); + add_pbucket(mod,bucket,g,nd_length(g)); + d = 0; + mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(unsigned int)); + while ( 1 ) { + hindex = head_pbucket(mod,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)); + TD(mul) = HTD(g)-TD(h); + if ( ndl_check_bound2(index,DL(mul)) ) { + free_pbucket(bucket); + nd_free(d); + *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); nd_mul_c_q(g,cred); + } + red = ndv_mul_nm(mod,p,mul); + bucket->body[hindex] = nd_remove_head(g); + red = nd_remove_head(red); + add_pbucket(mod,bucket,red,LEN(p)); + sugar = MAX(sugar,SG(p)+TD(mul)); + } 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; + } else { + FREEND(g); g = 0; + } + bucket->body[hindex] = g; + NEXT(m) = 0; + if ( d ) { + for ( mrd = BDY(d); NEXT(mrd); mrd = NEXT(mrd) ); + NEXT(mrd) = m; + } else { + MKND(n,m,d); + } + } + } +} +#endif + +int nd_nf_direct(int mod,ND g,NDV *ps,int len,int full,ND *rp) +{ + 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; + + if ( !g ) { + *rp = 0; + return 1; + } +#if 0 + if ( !mod ) + hmag = ((double)p_mag((P)HCQ(g)))*nd_scale; +#else + /* XXX */ + hmag = 0; +#endif + + sugar0 = sugar = SG(g); + n = NV(g); + mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(unsigned int)); + for ( d = 0; g; ) { + index = nd_find_reducer_direct(g,ps,len); + if ( index >= 0 ) { + p = ps[index]; + ndl_sub(HDL(g),HDL(p),DL(mul)); + TD(mul) = HTD(g)-HTD(p); + 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(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; + } else { + FREEND(g); g = 0; + } + if ( d ) { + NEXT(tail)=m; + tail=m; + } else { + MKND(n,m,d); + tail = BDY(d); + } + } + } + if ( d ) + SG(d) = sugar; + *rp = d; + return 1; +} + ND nd_remove_head(ND p) { NM m; @@ -1034,23 +1179,34 @@ PGeoBucket create_pbucket() return g; } -void add_pbucket(PGeoBucket g,ND d) +void free_pbucket(PGeoBucket b) { + int i; + + for ( i = 0; i < b->m; i++ ) + if ( b->body[i] ) { + nd_free(b->body[i]); + b->body[i] = 0; + } + GC_free(b); +} + +void add_pbucket(int mod,PGeoBucket g,ND d,int l) { - int l,k,m; + int k,m; - l = nd_length(d); for ( k = 0, m = 1; l > m; k++, m <<= 2 ); /* 4^(k-1) < l <= 4^k */ - d = nd_add(g->body[k],d); + d = nd_add(mod,g->body[k],d); for ( ; d && nd_length(d) > 1<<(2*k); k++ ) { g->body[k] = 0; - d = nd_add(g->body[k+1],d); + d = nd_add(mod,g->body[k+1],d); } g->body[k] = d; g->m = MAX(g->m,k); } -int head_pbucket(PGeoBucket g) +/* XXX not completed */ +int head_pbucket(int mod,PGeoBucket g) { int j,i,c,k,nv,sum; unsigned int *di,*dj; @@ -1086,9 +1242,9 @@ int head_pbucket(PGeoBucket g) dj = HDL(gj); sum = HCM(gj); } else if ( c == 0 ) { - sum = sum+HCM(gi)-nd_mod; + sum = sum+HCM(gi)-mod; if ( sum < 0 ) - sum += nd_mod; + sum += mod; g->body[i] = nd_remove_head(gi); } } @@ -1103,85 +1259,81 @@ int head_pbucket(PGeoBucket g) } } -ND normalize_pbucket(PGeoBucket g) +ND normalize_pbucket(int mod,PGeoBucket g) { int i; ND r,t; r = 0; for ( i = 0; i <= g->m; i++ ) - r = nd_add(r,g->body[i]); + r = nd_add(mod,r,g->body[i]); return r; } -ND nd_nf(ND g,int full) +NODE nd_gb(int m) { - ND u,p,d,red; - NODE l; - NM m,mrd; - int sugar,psugar,n,h_reducible,h; - PGeoBucket bucket; + int i,nh,sugar,stat; + NODE r,g,t; + ND_pairs d; + ND_pairs l; + ND h,nf; - if ( !g ) { - return 0; + g = 0; d = 0; + for ( i = 0; i < nd_psn; i++ ) { + d = update_pairs(d,g,i); + g = update_base(g,i); } - sugar = SG(g); - n = NV(g); - bucket = create_pbucket(); - add_pbucket(bucket,g); - d = 0; - while ( 1 ) { - h = head_pbucket(bucket); - if ( h < 0 ) { - if ( d ) - SG(d) = sugar; - return d; + sugar = 0; + while ( d ) { +again: + l = nd_minp(d,&d); + if ( SG(l) != sugar ) { + sugar = SG(l); + fprintf(asir_out,"%d",sugar); } - g = bucket->body[h]; - red = nd_find_reducer(g); - if ( red ) { - bucket->body[h] = nd_remove_head(g); - red = nd_remove_head(red); - add_pbucket(bucket,red); - sugar = MAX(sugar,SG(red)); - } else if ( !full ) { - g = normalize_pbucket(bucket); - if ( g ) - SG(g) = sugar; - return g; + stat = nd_sp(m,l,&h); + if ( !stat ) { + NEXT(l) = d; d = l; + d = nd_reconstruct(m,0,d); + goto again; + } + stat = nd_nf(m,h,!Top,&nf); + if ( !stat ) { + NEXT(l) = d; d = l; + d = nd_reconstruct(m,0,d); + goto again; + } else if ( nf ) { + printf("+"); fflush(stdout); + nh = nd_newps(m,nf); + d = update_pairs(d,g,nh); + g = update_base(g,nh); + FREENDP(l); } else { - m = BDY(g); - if ( NEXT(m) ) { - BDY(g) = NEXT(m); NEXT(m) = 0; - } else { - FREEND(g); g = 0; - } - bucket->body[h] = g; - NEXT(m) = 0; - if ( d ) { - for ( mrd = BDY(d); NEXT(mrd); mrd = NEXT(mrd) ); - NEXT(mrd) = m; - } else { - MKND(n,m,d); - } + 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; } -#endif -NODE nd_gb(int m,NODE f) +NODE nd_gb_trace(int m) { int i,nh,sugar,stat; - NODE r,g,gall; + NODE r,g,t; ND_pairs d; ND_pairs l; - ND h,nf; + ND h,nf,nfq; - for ( gall = g = 0, d = 0, r = f; r; r = NEXT(r) ) { - i = (int)BDY(r); + g = 0; d = 0; + for ( i = 0; i < nd_psn; i++ ) { d = update_pairs(d,g,i); g = update_base(g,i); - gall = append_one(gall,i); } sugar = 0; while ( d ) { @@ -1194,29 +1346,95 @@ again: stat = nd_sp(m,l,&h); if ( !stat ) { NEXT(l) = d; d = l; - d = nd_reconstruct(d); + d = nd_reconstruct(m,1,d); goto again; } stat = nd_nf(m,h,!Top,&nf); if ( !stat ) { NEXT(l) = d; d = l; - d = nd_reconstruct(d); + d = nd_reconstruct(m,1,d); goto again; } else if ( nf ) { - printf("+"); fflush(stdout); - nh = nd_newps(m,nf); - d = update_pairs(d,g,nh); - g = update_base(g,nh); - gall = append_one(gall,nh); - FREENDP(l); + /* 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); + d = update_pairs(d,g,nh); + g = update_base(g,nh); + } else { + printf("*"); fflush(stdout); + } } else { printf("."); fflush(stdout); - FREENDP(l); } + FREENDP(l); } + for ( t = g; t; t = NEXT(t) ) + BDY(t) = (pointer)nd_psq[(int)BDY(t)]; return g; } +int ndv_compare(NDV *p1,NDV *p2) +{ + int td1,td2; + + td1 = HTD(*p1); td2 = HTD(*p2); + if ( td1 > td2 ) return 1; + else if ( td1 < td2 ) return -1; + else return ndl_compare(HDL(*p1),HDL(*p2)); +} + +int ndv_compare_rev(NDV *p1,NDV *p2) +{ + return -ndv_compare(p1,p2); +} + +NODE nd_reduceall(int m,NODE f) +{ + int i,j,n,stat; + NDV *w,*ps; + ND nf,g; + NODE t,a0,a; + + 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; +} + ND_pairs update_pairs( ND_pairs d, NODE /* of index */ g, int t) { ND_pairs d1,nd,cur,head,prev,remove; @@ -1259,16 +1477,16 @@ ND_pairs nd_newpairs( NODE g, int t ) int td,ts,s; ND_pairs r,r0; - dl = HDL(nd_ps[t]); - td = HTD(nd_ps[t]); - ts = SG(nd_ps[t]) - td; + dl = DL(nd_psh[t]); + td = TD(nd_psh[t]); + ts = SG(nd_psh[t]) - td; for ( r0 = 0, h = g; h; h = NEXT(h) ) { NEXTND_pairs(r0,r); r->i1 = (int)BDY(h); r->i2 = t; - ndl_lcm(HDL(nd_ps[r->i1]),dl,r->lcm); + ndl_lcm(DL(nd_psh[r->i1]),dl,r->lcm); TD(r) = ndl_td(r->lcm); - s = SG(nd_ps[r->i1])-HTD(nd_ps[r->i1]); + s = SG(nd_psh[r->i1])-TD(nd_psh[r->i1]); SG(r) = MAX(s,ts) + TD(r); } NEXT(r) = 0; @@ -1282,15 +1500,15 @@ ND_pairs crit_B( ND_pairs d, int s ) int td,tdl; if ( !d ) return 0; - t = HDL(nd_ps[s]); + t = DL(nd_psh[s]); prev = 0; head = cur = d; lcm = (unsigned int *)ALLOCA(nd_wpd*sizeof(unsigned int)); while ( cur ) { tl = cur->lcm; if ( ndl_reducible(tl,t) - && (ndl_lcm(HDL(nd_ps[cur->i1]),t,lcm),!ndl_equal(lcm,tl)) - && (ndl_lcm(HDL(nd_ps[cur->i2]),t,lcm),!ndl_equal(lcm,tl)) ) { + && (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); @@ -1395,7 +1613,7 @@ ND_pairs crit_F( ND_pairs d1 ) int crit_2( int dp1, int dp2 ) { - return ndl_disjoint(HDL(nd_ps[dp1]),HDL(nd_ps[dp2])); + return ndl_disjoint(DL(nd_psh[dp1]),DL(nd_psh[dp2])); } static ND_pairs equivalent_pairs( ND_pairs d1, ND_pairs *prest ) @@ -1429,11 +1647,11 @@ NODE update_base(NODE nd,int ndp) NODE last, p, head; int td,tdn; - dl = HDL(nd_ps[ndp]); - td = HTD(nd_ps[ndp]); + dl = DL(nd_psh[ndp]); + td = TD(nd_psh[ndp]); for ( head = last = 0, p = nd; p; ) { - dln = HDL(nd_ps[(int)BDY(p)]); - tdn = HTD(nd_ps[(int)BDY(p)]); + dln = DL(nd_psh[(int)BDY(p)]); + tdn = TD(nd_psh[(int)BDY(p)]); if ( tdn >= td && ndl_reducible( dln, dl ) ) { p = NEXT(p); if ( last ) NEXT(last) = p; @@ -1502,56 +1720,78 @@ int nd_newps(int mod,ND a) { int len; RHist r; + NDV b; if ( nd_psn == nd_pslen ) { nd_pslen *= 2; nd_psl = (int *)REALLOC((char *)nd_psl,nd_pslen*sizeof(int)); -#if USE_NDV nd_ps = (NDV *)REALLOC((char *)nd_ps,nd_pslen*sizeof(NDV)); -#else - nd_ps = (ND *)REALLOC((char *)nd_ps,nd_pslen*sizeof(ND)); -#endif + 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); TD(r) = HTD(a); ndl_copy(HDL(a),DL(r)); + nd_psh[nd_psn] = r; + b = ndtondv(mod,a); + len = LEN(b); if ( mod ) - nd_monic(a); + nd_ps[nd_psn] = b; else - nd_removecont(a); - nd_bound[nd_psn] = nd_compute_bound(a); - NEWRHist(r); TD(r) = HTD(a); ndl_copy(HDL(a),DL(r)); nd_psh[nd_psn] = r; -#if USE_NDV - nd_ps[nd_psn]= ndtondv(mod,a); + nd_psq[nd_psn] = b; + nd_psl[nd_psn] = len; nd_free(a); - nd_psl[nd_psn] = len = LEN(nd_ps[nd_psn]); - if ( len > nmv_len ) { - nmv_len = 2*len; - BDY(ndv_red) = (NMV)REALLOC(BDY(ndv_red),nmv_len*nmv_adv); + return nd_psn++; +} + +int nd_newps_trace(int mod,ND nf,ND nfq) +{ + int len; + RHist r; + NDV b; + + if ( nd_psn == nd_pslen ) { + nd_pslen *= 2; + nd_psl = (int *)REALLOC((char *)nd_psl,nd_pslen*sizeof(int)); + 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 *)); } -#else - nd_ps[nd_psn] = a; - nd_psl[nd_psn] = nd_length(a); -#endif + nd_removecont(mod,nf); + nd_ps[nd_psn] = ndtondv(mod,nf); + + nd_removecont(0,nfq); + nd_psq[nd_psn] = ndtondv(0,nfq); + + nd_bound[nd_psn] = nd_compute_bound(nfq); + NEWRHist(r); SG(r) = SG(nf); TD(r) = HTD(nf); ndl_copy(HDL(nf),DL(r)); + nd_psh[nd_psn] = r; + + len = LEN(nd_psq[nd_psn]); + nd_psl[nd_psn] = len; + + nd_free(nf); nd_free(nfq); return nd_psn++; } -NODE nd_setup(int mod,NODE f) +void nd_setup(int mod,NODE f) { int i,j,td,len,max; NODE s,s0,f0; unsigned int *d; RHist r; + NDV a; nd_found = 0; nd_notfirst = 0; nd_create = 0; nd_psn = length(f); nd_pslen = 2*nd_psn; nd_psl = (int *)MALLOC(nd_pslen*sizeof(int)); -#if USE_NDV nd_ps = (NDV *)MALLOC(nd_pslen*sizeof(NDV)); -#else - nd_ps = (ND *)MALLOC(nd_pslen*sizeof(ND)); -#endif + 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) ) { @@ -1580,34 +1820,68 @@ NODE nd_setup(int mod,NODE f) nd_free_private_storage(); len = 0; for ( i = 0; i < nd_psn; i++, f = NEXT(f) ) { -#if USE_NDV - nd_ps[i] = dptondv(mod,(DP)BDY(f)); + NEWRHist(r); + a = dptondv(mod,(DP)BDY(f)); + ndv_removecont(mod,a); + len = MAX(len,LEN(a)); + SG(r) = HTD(a); TD(r) = HTD(a); ndl_copy(HDL(a),DL(r)); if ( mod ) - ndv_mul_c(nd_ps[i],invm(HCM(nd_ps[i]),nd_mod)); + nd_ps[i] = a; else - ndv_removecont(nd_ps[i]); - len = MAX(len,LEN(nd_ps[i])); -#else - nd_ps[i] = dptond((DP)BDY(f)); - nd_mul_c(nd_ps[i],1); - nd_psl[i] = nd_length(nd_ps[i]); -#endif - NEWRHist(r); TD(r) = HTD(nd_ps[i]); ndl_copy(HDL(nd_ps[i]),DL(r)); + nd_psq[i] = a; nd_psh[i] = r; } -#if USE_NDV - nmv_len = 16*len; - NEWNDV(ndv_red); - if ( mod ) - BDY(ndv_red) = (NMV)MALLOC_ATOMIC(nmv_len*nmv_adv); +} + +void nd_setup_trace(int mod,NODE f) +{ + int i,j,td,len,max; + NODE s,s0,f0; + unsigned int *d; + RHist r; + NDV a; + + nd_found = 0; nd_notfirst = 0; nd_create = 0; + + nd_psn = length(f); nd_pslen = 2*nd_psn; + nd_psl = (int *)MALLOC(nd_pslen*sizeof(int)); + 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)); + + 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 - BDY(ndv_red) = (NMV)MALLOC(nmv_len*nmv_adv); -#endif - for ( s0 = 0, i = 0; i < nd_psn; i++ ) { - NEXTNODE(s0,s); BDY(s) = (pointer)i; + nd_bpe = 32; + + 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); TD(r) = HTD(a); ndl_copy(HDL(a),DL(r)); + nd_psh[i] = r; } - if ( s0 ) NEXT(s) = 0; - return s0; } void nd_gr(LIST f,LIST v,int m,struct order_spec *ord,LIST *rp) @@ -1632,39 +1906,110 @@ void nd_gr(LIST f,LIST v,int m,struct order_spec *ord, error("nd_gr : unsupported order"); } initd(ord); - nd_mod = m; for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) { ptod(CO,vv,(P)BDY(t),&b); - if ( m ) - _dp_mod(b,m,0,&c); - else - c = b; - if ( c ) { - NEXTNODE(fd0,fd); BDY(fd) = (pointer)c; - } + NEXTNODE(fd0,fd); BDY(fd) = (pointer)b; } if ( fd0 ) NEXT(fd) = 0; - s = nd_setup(m,fd0); - x = nd_gb(m,s); -#if 0 - x = nd_reduceall(x,m); -#endif - for ( r0 = 0; x; x = NEXT(x) ) { + nd_setup(m,fd0); + x = nd_gb(m); + 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 USE_NDV - a = ndvtodp(m,nd_ps[(int)BDY(x)]); -#else - a = ndtodp(m,nd_ps[(int)BDY(x)]); -#endif - if ( m ) + if ( m ) { + a = ndvtodp(m,BDY(t)); _dtop_mod(CO,vv,a,(P *)&BDY(r)); - else + } else { + a = ndvtodp(m,BDY(t)); dtop(CO,vv,a,(P *)&BDY(r)); + } } if ( r0 ) NEXT(r) = 0; MKLIST(*rp,r0); +} + +void nd_gr_trace(LIST f,LIST v,int m,int homo,struct order_spec *ord,LIST *rp) +{ + struct order_spec ord1; + VL fv,vv,vc; + NODE fd,fd0,r,r0,t,x,s,xx,t0; + DP a,b,c,h; + NDV *w; + int len,i,j; + + get_vars((Obj)f,&fv); pltovl(v,&vv); + nd_nvar = length(vv); + if ( ord->id ) + error("nd_gr : unsupported order"); + initd(ord); + if ( homo ) { + homogenize_order(ord,nd_nvar,&ord1); + switch ( ord1.ord.simple ) { + case 0: is_rlex = 1; break; + case 1: is_rlex = 0; break; + default: error("nd_gr : unsupported order"); + } + for ( fd0 = 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; + } + } + if ( fd0 ) NEXT(fd) = 0; + initd(&ord1); + nd_nvar++; + nd_setup_trace(m,fd0); + x = nd_gb_trace(m); + + /* dehomogenization */ + for ( t = x; t; t = NEXT(t) ) + ndv_dehomogenize((NDV)BDY(t)); + nd_nvar--; + nd_setup_parameters(); + initd(ord); + 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; + } + } + for ( i = len-1, t0 = 0; i >= 0; i-- ) { + if ( w[i] ) { NEXTNODE(t0,t); BDY(t) = (pointer)w[i]; } + } + NEXT(t) = 0; x = t0; + } else { + switch ( ord->ord.simple ) { + case 0: is_rlex = 1; break; + case 1: is_rlex = 0; break; + default: error("nd_gr : unsupported order"); + } + 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; + /* setup over GF(m) */ + nd_setup_trace(m,fd0); + x = nd_gb_trace(m); + } fprintf(asir_out,"found=%d,notfirst=%d,create=%d\n", nd_found,nd_notfirst,nd_create); + x = nd_reduceall(0,x); + for ( r0 = 0; x; x = NEXT(x) ) { + NEXTNODE(r0,r); + a = ndvtodp(0,(NDV)BDY(x)); + dtop(CO,vv,a,(P *)&BDY(r)); + } + if ( r0 ) NEXT(r) = 0; + MKLIST(*rp,r0); } void dltondl(int n,DL dl,unsigned int *r) @@ -1702,7 +2047,7 @@ DL ndltodl(int n,int td,unsigned int *ndl) return dl; } -ND dptond(DP p) +ND dptond(int mod,DP p) { ND d; NM m0,m; @@ -1715,7 +2060,10 @@ ND dptond(DP p) m0 = 0; for ( t = BDY(p); t; t = NEXT(t) ) { NEXTNM(m0,m); - CM(m) = ITOS(C(t)); + if ( mod ) + CM(m) = ITOS(C(t)); + else + CQ(m) = (Q)C(t); TD(m) = TD(DL(t)); dltondl(n,DL(t),DL(m)); } @@ -1726,7 +2074,7 @@ ND dptond(DP p) return d; } -DP ndtodp(ND p) +DP ndtodp(int mod,ND p) { DP d; MP m0,m; @@ -1739,7 +2087,10 @@ DP ndtodp(ND p) m0 = 0; for ( t = BDY(p); t; t = NEXT(t) ) { NEXTMP(m0,m); - C(m) = STOI(CM(t)); + if ( mod ) + C(m) = STOI(CM(t)); + else + C(m) = (P)CQ(t); DL(m) = ndltodl(n,TD(t),DL(t)); } NEXT(m) = 0; @@ -1810,51 +2161,143 @@ void ndp_print(ND_pairs d) printf("\n"); } -void nd_removecont(ND p) +void nd_removecont(int mod,ND p) { int i,n; Q *w; Q dvr,t; NM m; + struct oVECT v; + N q,r; - for ( m = BDY(p), n = 0; m; m = NEXT(m), n++ ); + 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]; + } +} + +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; + + 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)); - for ( m = BDY(p), i = 0; i < n; m = NEXT(m), i++ ) + v.len = n; + v.body = (pointer *)w; + for ( m = BDY(p1), i = 0; i < n1; m = NEXT(m), i++ ) w[i] = CQ(m); - sortbynm(w,n); - qltozl(w,n,&dvr); - for ( m = BDY(p); m; m = NEXT(m) ) { - divq(CQ(m),dvr,&t); CQ(m) = t; - } + 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]; } -void ndv_removecont(NDV p) +void ndv_removecont(int mod,NDV p) { int i,len; Q *w; Q dvr,t; 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; + } + } +} + +void ndv_dehomogenize(NDV p) +{ + 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)) + len = p->len; - w = (Q *)ALLOCA(len*sizeof(Q)); + 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++ ) - 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; + TD(m) -= ndl_dehomogenize(DL(m)); + if ( newwpd != nd_wpd ) { + d = (unsigned int *)ALLOCA(newwpd*sizeof(unsigned int)); + newadv = sizeof(struct oNMV)+(newwpd-1)*sizeof(unsigned int); + for ( m = r = BDY(p), i = 0; i < len; NMV_ADV(m), NEWADV(r), i++ ) { + CQ(r) = CQ(m); TD(r) = TD(m); ndl_copy(DL(m),d); ndl_copy(d,DL(r)); + } } + NV(p)--; } -void nd_monic(ND p) +void removecont_array(Q *c,int n) { - if ( !p ) - return; - else - nd_mul_c(p,invm(HCM(p),nd_mod)); + struct oVECT v; + Q d0,d1,a,u,u1,gcd; + int i; + N qn,rn,gn; + Q *q,*r; + + q = (Q *)ALLOCA(n*sizeof(Q)); + r = (Q *)ALLOCA(n*sizeof(Q)); + v.id = O_VECT; v.len = n; v.body = (pointer *)c; + igcdv_estimate(&v,&d0); + for ( i = 0; i < n; i++ ) { + divn(NM(c[i]),NM(d0),&qn,&rn); + NTOQ(qn,SGN(c[i])*SGN(d0),q[i]); + NTOQ(rn,SGN(c[i]),r[i]); + } + for ( i = 0; i < n; i++ ) + if ( r[i] ) + break; + if ( i < n ) { + v.id = O_VECT; v.len = n; v.body = (pointer *)r; + igcdv(&v,&d1); + gcdn(NM(d0),NM(d1),&gn); NTOQ(gn,1,gcd); + divsn(NM(d0),gn,&qn); NTOQ(qn,1,a); + for ( i = 0; i < n; i++ ) { + mulq(a,q[i],&u); + if ( r[i] ) { + divsn(NM(r[i]),gn,&qn); NTOQ(qn,SGN(r[i]),u1); + addq(u,u1,&q[i]); + } else + q[i] = u; + } + } + for ( i = 0; i < n; i++ ) + c[i] = q[i]; } -void nd_mul_c(ND p,int mul) +void nd_mul_c(int mod,ND p,int mul) { NM m; int c,c1; @@ -1863,7 +2306,7 @@ void nd_mul_c(ND p,int mul) return; for ( m = BDY(p); m; m = NEXT(m) ) { c1 = CM(m); - DMAR(c1,mul,0,nd_mod,c); + DMAR(c1,mul,0,mod,c); CM(m) = c; } } @@ -1895,6 +2338,11 @@ void nd_free(ND p) FREEND(p); } +void ndv_free(NDV p) +{ + GC_free(BDY(p)); +} + void nd_append_red(unsigned int *d,int td,int i) { RHist m,m0; @@ -1974,12 +2422,12 @@ void nd_setup_parameters() { nd_mask1 |= (1<<(nd_bpe-1))<<(i*nd_bpe); } nm_adv = sizeof(struct oNM)+(nd_wpd-1)*sizeof(unsigned int); -#if USE_NDV nmv_adv = sizeof(struct oNMV)+(nd_wpd-1)*sizeof(unsigned int); -#endif } -ND_pairs nd_reconstruct(ND_pairs d) +/* mod < 0 => realloc nd_ps and pd_psq */ + +ND_pairs nd_reconstruct(int mod,int trace,ND_pairs d) { int i,obpe,oadv; NM prev_nm_free_list; @@ -1988,9 +2436,7 @@ ND_pairs nd_reconstruct(ND_pairs d) ND_pairs s0,s,t,prev_ndp_free_list; obpe = nd_bpe; -#if USE_NDV oadv = nmv_adv; -#endif if ( obpe < 4 ) nd_bpe = 4; else if ( obpe < 6 ) @@ -2009,13 +2455,12 @@ ND_pairs nd_reconstruct(ND_pairs d) prev_ndp_free_list = _ndp_free_list; _nm_free_list = 0; _ndp_free_list = 0; - for ( i = nd_psn-1; i >= 0; i-- ) { -#if USE_NDV - ndv_realloc(nd_ps[i],obpe,oadv); -#else - nd_realloc(nd_ps[i],obpe); -#endif - } + if ( mod != 0 ) + for ( i = nd_psn-1; i >= 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); @@ -2029,6 +2474,7 @@ ND_pairs nd_reconstruct(ND_pairs d) for ( mr0 = 0, r = nd_red[i]; r; r = NEXT(r) ) { NEXTRHist(mr0,mr); mr->index = r->index; + SG(mr) = SG(r); TD(mr) = TD(r); ndl_dup(obpe,DL(r),DL(mr)); } @@ -2036,19 +2482,53 @@ ND_pairs nd_reconstruct(ND_pairs d) nd_red[i] = mr0; } for ( i = 0; i < nd_psn; i++ ) { - NEWRHist(r); TD(r) = TD(nd_psh[i]); ndl_dup(obpe,DL(nd_psh[i]),DL(r)); + NEWRHist(r); SG(r) = SG(nd_psh[i]); + TD(r) = TD(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; -#if USE_NDV - BDY(ndv_red) = (NMV)REALLOC(BDY(ndv_red),nmv_len*nmv_adv); -#endif GC_gcollect(); return s0; } +void nd_reconstruct_direct(int mod,NDV *ps,int len) +{ + int i,obpe,oadv; + NM prev_nm_free_list; + RHist mr0,mr; + RHist r; + ND_pairs s0,s,t,prev_ndp_free_list; + + 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"); + + 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); + prev_nm_free_list = 0; + prev_ndp_free_list = 0; + GC_gcollect(); +} + void ndl_dup(int obpe,unsigned int *d,unsigned int *r) { int n,i,ei,oepw,cepw,cbpe; @@ -2113,7 +2593,6 @@ ND nd_copy(ND p) } } -#if USE_NDV int nd_sp(int mod,ND_pairs p,ND *rp) { NM m; @@ -2122,17 +2601,19 @@ int nd_sp(int mod,ND_pairs p,ND *rp) unsigned int *lcm; int td; - p1 = nd_ps[p->i1]; - p2 = nd_ps[p->i2]; + if ( mod ) { + p1 = nd_ps[p->i1]; p2 = nd_ps[p->i2]; + } else { + p1 = nd_psq[p->i1]; p2 = nd_psq[p->i2]; + } lcm = p->lcm; td = TD(p); NEWNM(m); - if ( mod ) CM(m) = HCM(p2); - else CQ(m) = HCQ(p2); + CQ(m) = HCQ(p2); TD(m) = td-HTD(p1); ndl_sub(lcm,HDL(p1),DL(m)); if ( ndl_check_bound2(p->i1,DL(m)) ) return 0; - t1 = ndv_mul_nm_create(mod,p1,m); + t1 = ndv_mul_nm(mod,p1,m); if ( mod ) CM(m) = mod-HCM(p1); else @@ -2142,16 +2623,13 @@ int nd_sp(int mod,ND_pairs p,ND *rp) nd_free(t1); return 0; } - ndv_mul_nm(mod,p2,m,ndv_red); + t2 = ndv_mul_nm(mod,p2,m); + *rp = nd_add(mod,t1,t2); FREENM(m); - if ( mod ) - *rp = ndv_add(t1,ndv_red); - else - *rp = ndv_add_q(t1,ndv_red); return 1; } -void ndv_mul_c(NDV p,int mul) +void ndv_mul_c(int mod,NDV p,int mul) { NMV m; int c,c1,len,i; @@ -2161,7 +2639,7 @@ void ndv_mul_c(NDV p,int mul) len = LEN(p); for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) { c1 = CM(m); - DMAR(c1,mul,0,nd_mod,c); + DMAR(c1,mul,0,mod,c); CM(m) = c; } } @@ -2180,41 +2658,8 @@ void ndv_mul_c_q(NDV p,Q mul) } } -void ndv_mul_nm(int mod,NDV p,NM m0,NDV r) +ND ndv_mul_nm(int mod,NDV p,NM m0) { - NMV m,mr,mr0; - unsigned int *d,*dt,*dm; - int c,n,td,i,c1,c2,len; - Q q; - - if ( !p ) - /* XXX */ - LEN(r) = 0; - else { - n = NV(p); m = BDY(p); len = LEN(p); - d = DL(m0); td = TD(m0); - mr = BDY(r); - if ( mod ) { - c = CM(m0); - for ( ; len > 0; len--, NMV_ADV(m), NMV_ADV(mr) ) { - c1 = CM(m); DMAR(c1,c,0,nd_mod,c2); CM(mr) = c2; - TD(mr) = TD(m)+td; ndl_add(DL(m),d,DL(mr)); - } - } else { - q = CQ(m0); - for ( ; len > 0; len--, NMV_ADV(m), NMV_ADV(mr) ) { - mulq(CQ(m),q,&CQ(mr)); - TD(mr) = TD(m)+td; ndl_add(DL(m),d,DL(mr)); - } - } - NV(r) = NV(p); - LEN(r) = LEN(p); - SG(r) = SG(p) + td; - } -} - -ND ndv_mul_nm_create(int mod,NDV p,NM m0) -{ NM mr,mr0; NMV m; unsigned int *d,*dt,*dm; @@ -2234,7 +2679,7 @@ ND ndv_mul_nm_create(int mod,NDV p,NM m0) for ( i = 0; i < len; i++, NMV_ADV(m) ) { NEXTNM(mr0,mr); c1 = CM(m); - DMAR(c1,c,0,nd_mod,c2); + DMAR(c1,c,0,mod,c2); CM(mr) = c2; TD(mr) = TD(m)+td; ndl_add(DL(m),d,DL(mr)); @@ -2255,156 +2700,6 @@ ND ndv_mul_nm_create(int mod,NDV p,NM m0) } } -ND ndv_add(ND p1,NDV p2) -{ - register NM prev,cur,new; - int c,c1,c2,t,td,td2,mul,len,i; - NM head; - unsigned int *d; - NMV m2; - Q q; - - if ( !p1 ) - return 0; - else { - prev = 0; head = cur = BDY(p1); - NEWNM(new); len = LEN(p2); - for ( m2 = BDY(p2), i = 0; cur && i < len; ) { - td2 = TD(new) = TD(m2); - if ( TD(cur) > td2 ) { - prev = cur; cur = NEXT(cur); - continue; - } else if ( TD(cur) < td2 ) c = -1; - else if ( nd_wpd == 1 ) { - if ( DL(cur)[0] > DL(m2)[0] ) c = is_rlex ? -1 : 1; - else if ( DL(cur)[0] < DL(m2)[0] ) c = is_rlex ? 1 : -1; - else c = 0; - } - else c = ndl_compare(DL(cur),DL(m2)); - switch ( c ) { - case 0: - t = CM(m2)+CM(cur)-nd_mod; - if ( t < 0 ) t += nd_mod; - if ( t ) CM(cur) = t; - else if ( !prev ) { - head = NEXT(cur); FREENM(cur); cur = head; - } else { - NEXT(prev) = NEXT(cur); FREENM(cur); cur = NEXT(prev); - } - NMV_ADV(m2); i++; - break; - case 1: - prev = cur; cur = NEXT(cur); - break; - case -1: - ndl_copy(DL(m2),DL(new)); - CQ(new) = CQ(m2); - if ( !prev ) { - /* cur = head */ - prev = new; NEXT(prev) = head; head = prev; - } else { - NEXT(prev) = new; NEXT(new) = cur; prev = new; - } - NEWNM(new); NMV_ADV(m2); i++; - break; - } - } - for ( ; i < len; i++, NMV_ADV(m2) ) { - td2 = TD(new) = TD(m2); CQ(new) = CQ(m2); ndl_copy(DL(m2),DL(new)); - if ( !prev ) { - prev = new; NEXT(prev) = 0; head = prev; - } else { - NEXT(prev) = new; NEXT(new) = 0; prev = new; - } - NEWNM(new); - } - FREENM(new); - if ( head ) { - BDY(p1) = head; SG(p1) = MAX(SG(p1),SG(p2)); - return p1; - } else { - FREEND(p1); - return 0; - } - - } -} - -ND ndv_add_q(ND p1,NDV p2) -{ - register NM prev,cur,new; - int c,c1,c2,t,td,td2,mul,len,i; - NM head; - unsigned int *d; - NMV m2; - Q q; - - if ( !p1 ) - return 0; - else { - prev = 0; head = cur = BDY(p1); - NEWNM(new); len = LEN(p2); - for ( m2 = BDY(p2), i = 0; cur && i < len; ) { - td2 = TD(new) = TD(m2); - if ( TD(cur) > td2 ) { - prev = cur; cur = NEXT(cur); - continue; - } else if ( TD(cur) < td2 ) c = -1; - else if ( nd_wpd == 1 ) { - if ( DL(cur)[0] > DL(m2)[0] ) c = is_rlex ? -1 : 1; - else if ( DL(cur)[0] < DL(m2)[0] ) c = is_rlex ? 1 : -1; - else c = 0; - } - else c = ndl_compare(DL(cur),DL(m2)); - switch ( c ) { - case 0: - addq(CQ(cur),CQ(m2),&q); - if ( q ) - CQ(cur) = q; - else if ( !prev ) { - head = NEXT(cur); FREENM(cur); cur = head; - } else { - NEXT(prev) = NEXT(cur); FREENM(cur); cur = NEXT(prev); - } - NMV_ADV(m2); i++; - break; - case 1: - prev = cur; cur = NEXT(cur); - break; - case -1: - ndl_copy(DL(m2),DL(new)); - CQ(new) = CQ(m2); - if ( !prev ) { - /* cur = head */ - prev = new; NEXT(prev) = head; head = prev; - } else { - NEXT(prev) = new; NEXT(new) = cur; prev = new; - } - NEWNM(new); NMV_ADV(m2); i++; - break; - } - } - for ( ; i < len; i++, NMV_ADV(m2) ) { - td2 = TD(new) = TD(m2); CQ(new) = CQ(m2); ndl_copy(DL(m2),DL(new)); - if ( !prev ) { - prev = new; NEXT(prev) = 0; head = prev; - } else { - NEXT(prev) = new; NEXT(new) = 0; prev = new; - } - NEWNM(new); - } - FREENM(new); - if ( head ) { - BDY(p1) = head; SG(p1) = MAX(SG(p1),SG(p2)); - return p1; - } else { - FREEND(p1); - return 0; - } - - } -} - void ndv_realloc(NDV p,int obpe,int oadv) { NMV m,mr,mr0,t; @@ -2459,33 +2754,53 @@ NDV ndtondv(int mod,ND 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); + TD(m) = TD(t); + ndl_copy(DL(t),DL(m)); + CQ(m) = CQ(t); + } + NEXT(m) = 0; + MKND(NV(p),m0,d); + SG(d) = SG(p); + return d; +} + NDV dptondv(int mod,DP p) { NDV d; NMV m0,m; MP t; + DP q; int l,i,n; if ( !p ) return 0; for ( t = BDY(p), l = 0; t; t = NEXT(t), l++ ); - if ( mod ) + if ( mod ) { + _dp_mod(p,mod,0,&q); p = q; m0 = m = (NMV)MALLOC_ATOMIC(l*nmv_adv); - else + } else m0 = m = (NMV)MALLOC(l*nmv_adv); n = NV(p); - if ( mod ) { - for ( t = BDY(p), i = 0; i < l; i++, t = NEXT(t), NMV_ADV(m) ) { + for ( t = BDY(p), i = 0; i < l; i++, t = NEXT(t), NMV_ADV(m) ) { + if ( mod ) CM(m) = ITOS(C(t)); - TD(m) = TD(DL(t)); - dltondl(n,DL(t),DL(m)); - } - } else { - for ( t = BDY(p), i = 0; i < l; i++, t = NEXT(t), NMV_ADV(m) ) { + else CQ(m) = (Q)C(t); - TD(m) = TD(DL(t)); - dltondl(n,DL(t),DL(m)); - } + TD(m) = TD(DL(t)); + dltondl(n,DL(t),DL(m)); } MKNDV(n,m0,l,d); SG(d) = SG(p); @@ -2504,18 +2819,13 @@ DP ndvtodp(int mod,NDV p) m0 = 0; len = LEN(p); n = NV(p); - if ( mod ) { - for ( t = BDY(p), i = 0; i < len; i++, NMV_ADV(t) ) { - NEXTMP(m0,m); + for ( t = BDY(p), i = 0; i < len; i++, NMV_ADV(t) ) { + NEXTMP(m0,m); + if ( mod ) C(m) = STOI(CM(t)); - DL(m) = ndltodl(n,TD(t),DL(t)); - } - } else { - for ( t = BDY(p), i = 0; i < len; i++, NMV_ADV(t) ) { - NEXTMP(m0,m); + else C(m) = (P)CQ(t); - DL(m) = ndltodl(n,TD(t),DL(t)); - } + DL(m) = ndltodl(n,TD(t),DL(t)); } NEXT(m) = 0; MKDP(NV(p),m0,d); @@ -2558,118 +2868,15 @@ void ndv_print_q(NDV p) printf("\n"); } } -#else -int nd_sp(ND_pairs p,ND *rp) -{ - NM m; - ND p1,p2; - ND t1,t2; - unsigned int *lcm; - int td; - p1 = nd_ps[p->i1]; - p2 = nd_ps[p->i2]; - lcm = p->lcm; - td = TD(p); - NEWNM(m); - CM(m) = HCM(p2); TD(m) = td-HTD(p1); ndl_sub(lcm,HDL(p1),DL(m)); - if ( ndl_check_bound2(p->i1,DL(m)) ) - return 0; - t1 = nd_mul_ind_nm(p->i1,m); - CM(m) = nd_mod-HCM(p1); TD(m) = td-HTD(p2); ndl_sub(lcm,HDL(p2),DL(m)); - if ( ndl_check_bound2(p->i2,DL(m)) ) { - nd_free(t1); - return 0; - } - t2 = nd_mul_ind_nm(p->i2,m); - FREENM(m); - *rp = nd_add(t1,t2); - return 1; -} - -ND nd_mul_nm(ND p,NM m0) +int nd_equal(ND a,ND b) { - NM m,mr,mr0; - unsigned int *d,*dt,*dm; - int c,n,td,i,c1,c2; - int *pt,*p1,*p2; - ND r; + NM ma,mb; - if ( !p ) - return 0; - else { - n = NV(p); m = BDY(p); - d = DL(m0); td = TD(m0); c = CM(m0); - mr0 = 0; - for ( ; m; m = NEXT(m) ) { - NEXTNM(mr0,mr); - c1 = CM(m); - DMAR(c1,c,0,nd_mod,c2); - CM(mr) = c2; - TD(mr) = TD(m)+td; - ndl_add(DL(m),d,DL(mr)); - } - NEXT(mr) = 0; - MKND(NV(p),mr0,r); - SG(r) = SG(p) + td; - return r; + if ( (!a && b)||(a&& !b)||(NV(a) != NV(b))||(SG(a) != SG(b)) ) return 0; + for ( ma = BDY(a), mb = BDY(b); ma && mb; ma = NEXT(ma), mb = NEXT(mb) ) { + if ( (TD(ma) != TD(mb)) || !ndl_equal(DL(ma),DL(mb)) ) return 0; } + if ( !ma && !mb ) return 1; + else return 0; } - -ND nd_mul_ind_nm(int index,NM m0) -{ - register int c1,c2,c; - register NM m,new,prev; - NM mr0; - unsigned int *d; - int n,td,i,len,d0,d1; - ND p,r; - - p = nd_ps[index]; - len = nd_psl[index]; - n = NV(p); m = BDY(p); - d = DL(m0); td = TD(m0); c = CM(m0); - - NEWNM(mr0); - c1 = CM(m); DMAR(c1,c,0,nd_mod,c2); CM(mr0) = c2; - TD(mr0) = TD(m)+td; ndl_add(DL(m),d,DL(mr0)); - prev = mr0; m = NEXT(m); - len--; - - switch ( nd_wpd ) { - case 1: - d0 = d[0]; - while ( len-- ) { - c1 = CM(m); DMAR(c1,c,0,nd_mod,c2); - NEWNM(new); CM(new) = c2; - TD(new) = TD(m)+td; DL(new)[0] = DL(m)[0]+d0; - m = NEXT(m); NEXT(prev) = new; prev = new; - } - break; - case 2: - d0 = d[0]; d1 = d[1]; - while ( len-- ) { - c1 = CM(m); DMAR(c1,c,0,nd_mod,c2); - NEWNM(new); CM(new) = c2; - TD(new) = TD(m)+td; - DL(new)[0] = DL(m)[0]+d0; - DL(new)[1] = DL(m)[1]+d1; - m = NEXT(m); NEXT(prev) = new; prev = new; - } - break; - default: - while ( len-- ) { - c1 = CM(m); DMAR(c1,c,0,nd_mod,c2); - NEWNM(new); CM(new) = c2; - TD(new) = TD(m)+td; ndl_add(DL(m),d,DL(new)); - m = NEXT(m); NEXT(prev) = new; prev = new; - } - break; - } - - NEXT(prev) = 0; - MKND(NV(p),mr0,r); - SG(r) = SG(p) + td; - return r; -} -#endif