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Diff for /OpenXM_contrib2/asir2000/include/ca.h between version 1.82 and 1.95

version 1.82, 2012/12/17 07:20:45 version 1.95, 2016/03/31 01:40:11
Line 45 
Line 45 
  * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,   * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
  * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.   * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
  *   *
  * $OpenXM: OpenXM_contrib2/asir2000/include/ca.h,v 1.81 2011/06/16 08:17:15 noro Exp $   * $OpenXM: OpenXM_contrib2/asir2000/include/ca.h,v 1.94 2015/08/20 08:42:07 noro Exp $
 */  */
 #include <stdio.h>  #include <stdio.h>
 #include <stdlib.h>  #include <stdlib.h>
   #include <gmp.h>
   #include <mpc.h>
   
   /* from mpfr-impl.h */
   #define MPFR_PREC(x)      ((x)->_mpfr_prec)
   #define MPFR_EXP(x)       ((x)->_mpfr_exp)
   #define MPFR_MANT(x)      ((x)->_mpfr_d)
   #define MPFR_LAST_LIMB(x) ((MPFR_PREC (x) - 1) / GMP_NUMB_BITS)
   #define MPFR_LIMB_SIZE(x) (MPFR_LAST_LIMB (x) + 1)
   
 #if defined(hpux)  #if defined(hpux)
 #include <netinet/in.h>  #include <netinet/in.h>
 # define setbuffer(FP,buf,siz) setvbuf(FP,buf,_IOFBF,siz)  # define setbuffer(FP,buf,siz) setvbuf(FP,buf,_IOFBF,siz)
 #endif  #endif
   
 #if !defined(VISUAL)  #if !defined(VISUAL) && !defined(__MINGW32__)
 #include <unistd.h>  #include <unistd.h>
 #include <sys/param.h>  #include <sys/param.h>
 #endif  #endif
Line 68 
Line 77 
 #define alloca(x) __builtin_alloca(x)  #define alloca(x) __builtin_alloca(x)
 #endif  #endif
   
 #if defined(VISUAL)  #if defined(VISUAL) || defined(__MINGW32__)
   #include <limits.h>
 #include <malloc.h>  #include <malloc.h>
 #endif  #endif
   
Line 77 
Line 87 
 typedef caddr_t pointer;  typedef caddr_t pointer;
 #endif  #endif
   
   
 typedef void * pointer;  typedef void * pointer;
   
 #if defined(sun)  #if defined(sun)
 #include <strings.h>  #include <strings.h>
 #else  #else
 #include <string.h>  #include <string.h>
 #if defined(VISUAL)  #if defined(VISUAL) || defined(__MINGW32__)
 #define index(s,c) strchr(s,c)  #define index(s,c) strchr(s,c)
 #define bzero(s,len) memset(s,0,len)  #define bzero(s,len) memset(s,0,len)
 #define bcopy(x,y,len) memcpy(y,x,len)  #define bcopy(x,y,len) memcpy(y,x,len)
Line 135  typedef void * pointer;
Line 146  typedef void * pointer;
 #define N_R 1  #define N_R 1
 #define N_A 2  #define N_A 2
 #define N_B 3  #define N_B 3
 #define N_C 4  #define N_NEXT_B    (N_B)
 #define N_M 5  #if defined(INTERVAL)
 #define N_LM 6  #define N_Quad  (N_NEXT_B+1)
 #define N_GF2N 7  #define N_IP    (N_NEXT_B+2)
 #define N_GFPN 8  #define N_IntervalDouble        (N_NEXT_B+3)
 #define N_GFS 9  #define N_IntervalQuad  (N_NEXT_B+4)
 #define N_GFSN 10  #define N_IntervalBigFloat      (N_NEXT_B+5)
 #define N_DA 11  #define N_PRE_C N_IntervalBigFloat
   #define N_BASE (N_NEXT_B+5)
   #else
   #define N_BASE N_NEXT_B
   #endif
   #define N_C (N_BASE+1)
   #define N_M (N_BASE+2)
   #define N_LM (N_BASE+3)
   #define N_GF2N (N_BASE+4)
   #define N_GFPN (N_BASE+5)
   #define N_GFS (N_BASE+6)
   #define N_GFSN (N_BASE+7)
   #define N_DA (N_BASE+8)
   #define N_GZ (N_BASE+9)
   #define N_GQ (N_BASE+10)
   #define N_PARIB (N_BASE+11)
   
 #define ORD_REVGRADLEX 0  #define ORD_REVGRADLEX 0
 #define ORD_GRADLEX 1  #define ORD_GRADLEX 1
Line 224  typedef struct oBF {
Line 250  typedef struct oBF {
         short id;          short id;
         char nid;          char nid;
         char pad;          char pad;
         long body[1];          mpfr_t body;
 } *BF;  } *BF;
   
 typedef struct oC {  typedef struct oC {
Line 263  typedef struct oDAlg {
Line 289  typedef struct oDAlg {
         struct oQ *dn;          struct oQ *dn;
 } *DAlg;  } *DAlg;
   
   typedef struct oGZ {
           short id;
           char nid;
           char pad;
           mpz_t body;
   } *GZ;
   
   typedef struct oGQ {
           short id;
           char nid;
           char pad;
           mpq_t body;
   } *GQ;
   
 typedef struct oNum {  typedef struct oNum {
         short id;          short id;
         char nid;          char nid;
Line 624  struct order_spec {
Line 663  struct order_spec {
         int nv;          int nv;
         int ispot; /* 1 means Position over Term (Pos then Term) */          int ispot; /* 1 means Position over Term (Pos then Term) */
         int pot_nelim; /* size of positions for pot-elimination order */          int pot_nelim; /* size of positions for pot-elimination order */
     int *top_weight;
     int module_rank;
     int *module_top_weight;
         union {          union {
                 int simple;                  int simple;
                 struct {                  struct {
Line 733  typedef unsigned int ModNum;
Line 775  typedef unsigned int ModNum;
 #define GCFREE(p) Risa_GC_free(p)  #define GCFREE(p) Risa_GC_free(p)
 #define CALLOC(d,e) MALLOC((d)*(e))  #define CALLOC(d,e) MALLOC((d)*(e))
   
 #if !defined(__CYGWIN__) && (defined(__GNUC__) || defined(vax) || defined(apollo) || defined(alloca) || defined(VISUAL))  #if !defined(__CYGWIN__) && (defined(__GNUC__) || defined(vax) || defined(apollo) || defined(alloca) || defined(VISUAL) || defined(__MINGW32__))
 #define ALLOCA(d) alloca(d)  #define ALLOCA(d) alloca(d)
 #else  #else
 #define ALLOCA(d) MALLOC(d)  #define ALLOCA(d) MALLOC(d)
 #endif  #endif
   
 /* for setjmp/longjmp compatibility */  /* for setjmp/longjmp compatibility */
 #if defined(__CYGWIN__) || defined(__x86_64)  #if defined(__CYGWIN__) || (defined(__x86_64) && !defined(__MINGW32__))
 #define JMP_BUF sigjmp_buf  #define JMP_BUF sigjmp_buf
 #define SETJMP(x) sigsetjmp(x,~0)  #define SETJMP(x) sigsetjmp(x,~0)
 #define LONGJMP(x,y) siglongjmp(x,y)  #define LONGJMP(x,y) siglongjmp(x,y)
Line 802  bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
Line 844  bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
 ((q).b=(unsigned int *)ALLOCA((w)*sizeof(unsigned int)))  ((q).b=(unsigned int *)ALLOCA((w)*sizeof(unsigned int)))
   
 /* cell allocators */  /* cell allocators */
   #define NEWGZ(q) ((q)=(GZ)MALLOC(sizeof(struct oGZ)),OID(q)=O_N,NID(q)=N_GZ)
   #define NEWGQ(q) ((q)=(GQ)MALLOC(sizeof(struct oGQ)),OID(q)=O_N,NID(q)=N_GQ)
 #define NEWQ(q) ((q)=(Q)MALLOC(sizeof(struct oQ)),OID(q)=O_N,NID(q)=N_Q)  #define NEWQ(q) ((q)=(Q)MALLOC(sizeof(struct oQ)),OID(q)=O_N,NID(q)=N_Q)
 #define NEWMQ(q) ((q)=(MQ)MALLOC_ATOMIC(sizeof(struct oMQ)),OID(q)=O_N,NID(q)=N_M)  #define NEWMQ(q) ((q)=(MQ)MALLOC_ATOMIC(sizeof(struct oMQ)),OID(q)=O_N,NID(q)=N_M)
 #define NEWGFS(q) ((q)=(GFS)MALLOC_ATOMIC(sizeof(struct oGFS)),OID(q)=O_N,NID(q)=N_GFS)  #define NEWGFS(q) ((q)=(GFS)MALLOC_ATOMIC(sizeof(struct oGFS)),OID(q)=O_N,NID(q)=N_GFS)
Line 843  bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
Line 887  bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
 #define NEWReal(q) ((q)=(Real)MALLOC_ATOMIC(sizeof(struct oReal)),OID(q)=O_N,NID(q)=N_R)  #define NEWReal(q) ((q)=(Real)MALLOC_ATOMIC(sizeof(struct oReal)),OID(q)=O_N,NID(q)=N_R)
 #define NEWAlg(r) ((r)=(Alg)MALLOC(sizeof(struct oAlg)),OID(r)=O_N,NID(r)=N_A)  #define NEWAlg(r) ((r)=(Alg)MALLOC(sizeof(struct oAlg)),OID(r)=O_N,NID(r)=N_A)
 #define NEWDAlg(r) ((r)=(DAlg)MALLOC(sizeof(struct oDAlg)),OID(r)=O_N,NID(r)=N_DA)  #define NEWDAlg(r) ((r)=(DAlg)MALLOC(sizeof(struct oDAlg)),OID(r)=O_N,NID(r)=N_DA)
 #define NEWBF(q,l) ((q)=(BF)MALLOC_ATOMIC(TRUESIZE(oBF,(l)-1,long)),OID(q)=O_N,NID(q)=N_B)  #define NEWBF(q) ((q)=(BF)MALLOC(sizeof(struct oBF)),OID(q)=O_N,NID(q)=N_B)
   #define NEWPARIBF(q,l) ((q)=(BF)MALLOC_ATOMIC(TRUESIZE(oBF,(l)-1,long)),OID(q)=O_N,NID(q)=N_PARIB)
 #define NEWC(r) ((r)=(C)MALLOC(sizeof(struct oC)),OID(r)=O_N,NID(r)=N_C)  #define NEWC(r) ((r)=(C)MALLOC(sizeof(struct oC)),OID(r)=O_N,NID(r)=N_C)
 #define NEWLM(r) ((r)=(LM)MALLOC(sizeof(struct oLM)),OID(r)=O_N,NID(r)=N_LM)  #define NEWLM(r) ((r)=(LM)MALLOC(sizeof(struct oLM)),OID(r)=O_N,NID(r)=N_LM)
 #define NEWGF2N(r) ((r)=(GF2N)MALLOC(sizeof(struct oGF2N)),OID(r)=O_N,NID(r)=N_GF2N)  #define NEWGF2N(r) ((r)=(GF2N)MALLOC(sizeof(struct oGF2N)),OID(r)=O_N,NID(r)=N_GF2N)
Line 943  PL(NM(q))=1,BD(NM(q))[0]=(unsigned int)(n),DN(q)=0,(q)
Line 988  PL(NM(q))=1,BD(NM(q))[0]=(unsigned int)(n),DN(q)=0,(q)
 #define SL(n) ((n)->p)  #define SL(n) ((n)->p)
 #define ZALLOC(d) ((Z)MALLOC_ATOMIC(TRUESIZE(oZ,(d)-1,int)))  #define ZALLOC(d) ((Z)MALLOC_ATOMIC(TRUESIZE(oZ,(d)-1,int)))
   
 #if defined(PARI)  #define ToReal(a) (!(a)?(double)0.0:REAL(a)?BDY((Real)a):RATN(a)?RatnToReal((Q)a):BIGFLOAT(a)?mpfrtodbl(BDY((BF)a)):0)
 #define ToReal(a) (!(a)?(double)0.0:REAL(a)?BDY((Real)a):RATN(a)?RatnToReal((Q)a):BIGFLOAT(a)?rtodbl(BDY((BF)a)):0)  
 #else  
 #define ToReal(a) (!(a)?(double)0.0:REAL(a)?BDY((Real)a):RATN(a)?RatnToReal((Q)a):0.0)  
 #endif  
   
 /* predicates */  /* predicates */
 #define NUM(p) (OID(p)==O_N)  #define NUM(p) (OID(p)==O_N)
Line 1219  void rtime_init(void);
Line 1260  void rtime_init(void);
 void setmod_gf2n(P);  void setmod_gf2n(P);
 void mt_sgenrand(unsigned long);  void mt_sgenrand(unsigned long);
 unsigned long mt_genrand(void);  unsigned long mt_genrand(void);
 #if defined(VISUAL)  #if defined(VISUAL) || defined(__MINGW32__)
 void srandom(unsigned int);  void srandom(unsigned int);
 unsigned int random(void);  unsigned int random(void);
 #endif  #endif
Line 1426  void Risa_GC_get_adj(int *,int *);
Line 1467  void Risa_GC_get_adj(int *,int *);
 void *Risa_GC_malloc(size_t);  void *Risa_GC_malloc(size_t);
 void *Risa_GC_malloc_atomic(size_t);  void *Risa_GC_malloc_atomic(size_t);
 void *Risa_GC_realloc(void *,size_t);  void *Risa_GC_realloc(void *,size_t);
   void Risa_GC_free(void *);
   void *Risa_GC_malloc_atomic_ignore_off_page(size_t);
 void *GC_malloc(size_t);  void *GC_malloc(size_t);
 void *GC_malloc_atomic(size_t);  void *GC_malloc_atomic(size_t);
 void *GC_realloc(void *,size_t);  void *GC_realloc(void *,size_t);
Line 1433  double NatToReal(N,int *);
Line 1476  double NatToReal(N,int *);
 double RatnToReal(Q);  double RatnToReal(Q);
 double pwrreal0(double,int);  double pwrreal0(double,int);
 double rtodbl(); /* XXX */  double rtodbl(); /* XXX */
   double mpfrtodbl(mpfr_t a);
 int **almat(int,int);  int **almat(int,int);
 pointer **almat_pointer(int,int);  pointer **almat_pointer(int,int);
 int berlecnt(register int,UM);  int berlecnt(register int,UM);
Line 2627  void mkwcz(int k,int l,Z *t);
Line 2671  void mkwcz(int k,int l,Z *t);
 int remzi(Z n,int m);  int remzi(Z n,int m);
   
   
 #if 0 && !defined(VISUAL)  #if 0 && !defined(VISUAL) && !defined(__MINGW32__)
 void bzero(const void *,int);  void bzero(const void *,int);
 void bcopy(const void *,void *,int);  void bcopy(const void *,void *,int);
 char *index(char *,int);  char *index(char *,int);
Line 2639  void addnbp(VL vl,NBP p1,NBP p2, NBP *rp);
Line 2683  void addnbp(VL vl,NBP p1,NBP p2, NBP *rp);
 void mulnbp(VL vl,NBP p1,NBP p2, NBP *rp);  void mulnbp(VL vl,NBP p1,NBP p2, NBP *rp);
 void pwrnbp(VL vl,NBP p1,Q n, NBP *rp);  void pwrnbp(VL vl,NBP p1,Q n, NBP *rp);
 int compnbp(VL vl,NBP p1,NBP p2);  int compnbp(VL vl,NBP p1,NBP p2);
   
   #define WORDSIZE_IN_N(a) (ABS((a)->_mp_size)*GMP_LIMB_BITS/32)
   
   #define MPZTOGZ(g,q) \
   (!mpz_sgn(g)?((q)=0):(NEWGZ(q),BDY(q)[0]=(g)[0],(q)))
   #define MPQTOGQ(g,q) \
   (!mpq_sgn(g)?((q)=0):(NEWGQ(q),BDY(q)[0]=(g)[0],(q)))
   
   #define INTMPQ(a) (!mpz_cmp_ui(mpq_numref(a),1))
   
   #define UNIGZ(a) ((a)&&NID(a)==N_GZ&&!mpz_cmp_ui(BDY(a),1))
   #define MUNIGZ(a) ((a)&&NID(a)==N_GZ&&!mpz_cmp_si(BDY(a),-1))
   
   #define INTGQ(a) ((a)&&NID(a)==N_GQ&&!mpz_cmp_ui(mpq_denref(BDY(a)),1))
   
   #define UNIGQ(a) \
   ((a)&&NID(a)==N_GQ&&!mpz_cmp_ui(mpq_numref(BDY(a)),1)&&!mpz_cmp_ui(mpq_denref(BDY(a)),1))
   #define MUNIGQ(a) \
   ((a)&&NID(a)==N_GQ&&!mpz_cmp_si(mpq_numref(BDY(a)),-1)&&!mpz_cmp_ui(mpq_denref(BDY(a)),1))
   
   #define MPZTOMPQ(z,q) \
   (mpq_init(q),mpq_numref(q)[0] = (z)[0],mpz_set_ui(mpq_denref(q),1))
   
   #define MPFRTOBF(g,q) \
   (NEWBF(q),BDY(q)[0]=(g)[0],(q))
   
   extern mpz_t ONEMPZ;
   extern GZ ONEGZ;
   
   void *gc_realloc(void *p,size_t osize,size_t nsize);
   void gc_free(void *p,size_t size);
   void init_gmpq();
   GQ mpqtogzq(mpq_t a);
   GQ qtogq(Q a);
   Q gqtoq(GQ a);
   GZ ztogz(Q a);
   Q gztoz(GZ a);
   P ptogp(P a);
   P gptop(P a);
   void addgz(GZ n1,GZ n2,GZ *nr);
   void subgz(GZ n1,GZ n2,GZ *nr);
   void mulgz(GZ n1,GZ n2,GZ *nr);
   void mul1gz(GZ n1,int n2,GZ *nr);
   void divgz(GZ n1,GZ n2,GZ *nq);
   void chsgngz(GZ n,GZ *nr);
   void pwrgz(GZ n1,Q n,GZ *nr);
   int cmpgz(GZ q1,GZ q2);
   void gcdgz(GZ n1,GZ n2,GZ *nq);
   void gcdvgz(VECT v,GZ *q);
   void addgq(GQ n1,GQ n2,GQ *nr);
   void subgq(GQ n1,GQ n2,GQ *nr);
   void mulgq(GQ n1,GQ n2,GQ *nr);
   void divgq(GQ n1,GQ n2,GQ *nq);
   void chsgngq(GQ n,GQ *nr);
   void pwrgq(GQ n1,Q n,GQ *nr);
   int cmpgq(GQ n1,GQ n2);
   void mkgwc(int k,int l,GZ *t);
   void gz_ptozp(P p,int sgn,GQ *c,P *pr);
   void gz_lgp(P p,GZ *g,GZ *l);
   void gz_qltozl(GQ *w,int n,GZ *dvr);
   
   void _mdtodp(DP p,DP *pr);
   void add_denomlist(P f);
   void algobjtorat(Obj f,Obj *r);
   void algtodalg(Alg a,DAlg *r);
   void appenduflist(NODE n);
   void arf_add(VL,Obj,Obj,Obj *);
   void arf_chsgn(Obj,Obj *);
   void arf_div(VL,Obj,Obj,Obj *);
   void arf_mul(VL,Obj,Obj,Obj *);
   void arf_sub(VL,Obj,Obj,Obj *);
   void asir_terminate(int);
   void check_intr();
   void clctalg(P,VL *);
   void comm_muld_trunc(VL vl,DP p1,DP p2,DL dl,DP *pr);
   void comm_quod(VL vl,DP p1,DP p2,DP *pr);
   void create_modorder_spec(int id,LIST shift,struct modorder_spec **s);
   void dalgtoalg(DAlg da,Alg *r);
   void divsgz(GZ n1,GZ n2,GZ *nq);
   void dp_ht(DP p,DP *rp);
   void dp_interreduce(LIST f,LIST v,int field,struct order_spec *ord,LIST *rp);
   void dp_mbase(NODE,NODE *);
   void dp_nf_tab_f(DP p,LIST *tab,DP *rp);
   void dp_ptozp(DP,DP *);
   void dp_sort(DP p,DP *rp);
   void dp_subd(DP,DP,DP *);
   void dp_true_nf(NODE,DP,DP *,int,DP *,P *);
   void dp_true_nf_marked(NODE b,DP g,DP *ps,DP *hps,DP *rp,P *nmp,P *dnp);
   void dp_true_nf_marked_mod(NODE b,DP g,DP *ps,DP *hps,int mod,DP *rp,P *dnp);
   void gbcheck_list(NODE f,int n,VECT *gp,LIST *pp);
   void gcdsf(VL vl,P *pa,int k,P *r);
   void get_algtree(Obj f,VL *r);
   void get_vars(Obj,VL *);
   void gfstopgfs(GFS a,V v,P *c);
   void henmain_incremental(LUM f,LUM *bqlist,ML cqlist, int np, int mod, int start, int bound);
   void iftogfs(int n,GFS *c);
   void indextogfs(int index,GFS *c);
   void init_denomlist();
   void inva_chrem(P p0,P p,NODE *pr);
   void itogfs(int n,GFS *c);
   void lcmn(N n1,N n2,N *nr);
   void makevar(char *,P *);
   void mdtodp(DP p,DP *pr);
   void mfctrsf(VL vl,P f,DCP *dcp);
   void mulp_trunc(VL vl,P p1,P p2,VN vn,P *pr);
   void nd_det(int mod,MAT f,P *rp);
   void nd_gr(LIST f,LIST v,int m,int homo,int retdp,int f4,struct order_spec *ord,LIST *rp);
   void nd_gr_postproc(LIST f,LIST v,int m,struct order_spec *ord,int do_check,LIST *rp);
   void nd_gr_recompute_trace(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,LIST *rp);
   void nd_gr_trace(LIST f,LIST v,int trace,int homo,int f4,struct order_spec *ord,LIST *rp);
   void nd_nf_p(Obj f,LIST g,LIST v,int m,struct order_spec *ord,Obj *rp);
   void obj_algtodalg(Obj obj,Obj *r);
   void obj_dalgtoalg(Obj obj,Obj *r);
   void ox_bcast_102(int root);
   void ox_reduce_102(int root,void (*func)());
   void print_to_wfep(Obj obj);
   void printn(N);
   void printz(Z n);
   void pthrootgfs(GFS a,GFS *b);
   void quop_trunc(VL vl,P p1,P p2,VN vn,P *pr);
   void red_by_vect_sf(int m,unsigned int *p,unsigned int *r,unsigned int hc,int len);
   void removecont_array(P *c,int n,int full);
   void reset_top_weight();
   void setfield_dalg(NODE alist);
   void setfield_gb(NODE gb,VL vl,struct order_spec *spec);
   void setsecuremode(int value);
   void sfbfctr_shift(P f,V x,V y,int degbound,GFS *evp,P *sfp,DCP *dcp);
   void sfexgcd_by_hensel(BM g,BM h,int dy,BM *ap,BM *bp);
   void sfptopsfp(P f,V v,P *gp);
   void simpdalg(DAlg da,DAlg *r);
   void simple_derivr(VL vl,Obj a,V v,Obj *b);
   void substpp(VL vl,P p,V *vvect,P *svect,int nv,P *pr);
   void ufctrsf(P p,DCP *dcp);
   void vltopl(VL vl,LIST *l);
   
   int arf_comp(VL, Obj, Obj);
   int available_mcindex(int ind);
   int compare_zero(int n,int *u,int row,int **w);
   int create_composite_order_spec(VL vl,LIST order,struct order_spec **specp);
   int create_order_spec(VL,Obj,struct order_spec **);
   int dalgtoup(DAlg da,P *up,Q *dn);
   int dl_equal(int nv,DL dl1,DL dl2);
   int dp_redble(DP,DP);
   int dpv_hp(DPV p);
   int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn,int **rindp,int **cindp);
   int generic_gauss_elim_hensel_dalg(MAT mat,DP *mb,MAT *nmmat,Q *dn,int **rindp,int **cindp);
   int generic_gauss_elim_mod(int **mat0,int row,int col,int md,int *colstat);
   int generic_gauss_elim_mod2(int **mat0,int row,int col,int md,int *colstat,int *rowstat);
   int get_field_type(P p);
   int get_ox_server_id(int index);
   int getsecuremode();
   int gz_generic_gauss_elim(MAT mat,MAT *nm,GZ *dn,int **rindp,int **cindp);
   int gz_generic_gauss_elim_full(MAT mat,MAT *nm,GZ *dn,int **rindp,int **cindp);
   int gz_gensolve_check(MAT mat,MAT nm,GZ dn,int *rind,int *cind);
   int gz_gensolve_check2(MAT mat,MAT nm,GZ *dn,int *rind,int *cind);
   int gz_intmtoratm(MAT mat,GZ md,MAT nm,GZ *dn);
   int gz_intmtoratm2(MAT mat,GZ md,MAT nm,GZ *dn,int *stat);
   int gz_inttorat(GZ c,GZ m,GZ b,int *sgnp,GZ *nmp,GZ *dnp);
   int gz_intvtoratv(GZ *v,int n,GZ md,GZ b,GZ *nm,GZ *dn);
   int invdalg(DAlg a,DAlg *c);
   int is_eq(Obj a0,Obj a1);
   int length(NODE);
   int lu_mod(unsigned int **a,int n,unsigned int md,int **rinfo);
   int n_bits_gz(GZ a);
   int nd_gauss_elim_gz(GZ **mat0,int *sugar,int row,int col,int *colstat);
   int poly_is_dependent(P p,V v);
   int setsecureflag(char *name,int value);
   int sfdegtest(int dy,int bound,UM *d1c,int k,int *in);
   int sgnz(Z n);
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Removed from v.1.82  
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  Added in v.1.95
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