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Diff for /OpenXM_contrib2/asir2000/include/ca.h between version 1.45 and 1.55

version 1.45, 2004/02/09 08:23:29 version 1.55, 2004/12/18 16:50:10
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 1.44 2004/02/05 08:28:53 noro Exp $   * $OpenXM: OpenXM_contrib2/asir2000/include/ca.h,v 1.54 2004/12/10 07:36:34 noro Exp $
 */  */
 #include <stdio.h>  #include <stdio.h>
 #include <stdlib.h>  #include <stdlib.h>
Line 121  typedef void * pointer;
Line 121  typedef void * pointer;
 #define O_OPTLIST 18  #define O_OPTLIST 18
 #define O_SYMBOL 19  #define O_SYMBOL 19
 #define O_RANGE 20  #define O_RANGE 20
   #define O_TB 21
   #define O_DPV 22
   #define O_QUOTEARG 23
 #define O_VOID -1  #define O_VOID -1
   /* IMAT */
   #define O_IMAT 24
   /* IMAT */
   
 #define N_Q 0  #define N_Q 0
 #define N_R 1  #define N_R 1
Line 134  typedef void * pointer;
Line 140  typedef void * pointer;
 #define N_GFPN 8  #define N_GFPN 8
 #define N_GFS 9  #define N_GFS 9
 #define N_GFSN 10  #define N_GFSN 10
   #define N_DA 11
   
 #define ORD_REVGRADLEX 0  #define ORD_REVGRADLEX 0
 #define ORD_GRADLEX 1  #define ORD_GRADLEX 1
 #define ORD_LEX 2  #define ORD_LEX 2
   
   typedef enum {
           A_end=0,A_fnode,A_arf,A_int,A_str,A_internal,A_node,A_notimpl,A_func
   } farg_type;
   
 #if defined(LONG_IS_32BIT)  #if defined(LONG_IS_32BIT)
 #if defined(VISUAL)  #if defined(VISUAL)
 typedef _int64 L;  typedef _int64 L;
Line 157  typedef struct oN {
Line 168  typedef struct oN {
         unsigned int b[1];          unsigned int b[1];
 } *N;  } *N;
   
   typedef struct oZ {
           int p;
           unsigned int b[1];
   } *Z;
   
 typedef struct oUP2 {  typedef struct oUP2 {
         int w;          int w;
         unsigned int b[1];          unsigned int b[1];
Line 239  typedef struct oGFPN {
Line 255  typedef struct oGFPN {
         struct oUP *body;          struct oUP *body;
 } *GFPN;  } *GFPN;
   
   typedef struct oDAlg {
           short id;
           char nid;
           char pad;
           struct oDP *nm;
           struct oQ *dn;
   } *DAlg;
   
   
 typedef struct oNum {  typedef struct oNum {
         short id;          short id;
         char nid;          char nid;
Line 301  typedef struct oGF2MAT {
Line 326  typedef struct oGF2MAT {
         unsigned int **body;          unsigned int **body;
 } *GF2MAT, *GFMMAT;  } *GF2MAT, *GFMMAT;
   
   /* IMAT */
   #define IMATCH 64
   
   typedef struct oIENT {
           int cr;
           int row, col;
           pointer *body;
   } IENT;
   
   typedef struct oIMATC {
           pointer *fore;
           pointer *next;
           IENT ient[IMATCH];
   } *IMATC;
   
   typedef struct oIMAT {
           short id;
           int row, col, clen;
           pointer *root;
           pointer *toor;
   } *IMAT;
   /* IMAT */
 typedef struct oLIST {  typedef struct oLIST {
         short id;          short id;
         short pad;          short pad;
Line 326  typedef struct oDP {
Line 373  typedef struct oDP {
         struct oMP *body;          struct oMP *body;
 } *DP;  } *DP;
   
   typedef struct oDPV {
           short id;
           int len;
           int sugar;
           struct oDP **body;
   } *DPV;
   
 typedef struct oUSINT {  typedef struct oUSINT {
         short id;          short id;
         short pad;          short pad;
Line 357  typedef struct oQUOTE {
Line 411  typedef struct oQUOTE {
         pointer body;          pointer body;
 } *QUOTE;  } *QUOTE;
   
   typedef struct oQUOTEARG {
           short id;
           short pad;
           farg_type type;
           pointer body;
   } *QUOTEARG;
   
 typedef struct oOPTLIST {  typedef struct oOPTLIST {
         short id;          short id;
         short pad;          short pad;
Line 376  typedef struct oRANGE {
Line 437  typedef struct oRANGE {
         struct oObj *start,*end;          struct oObj *start,*end;
 } *RANGE;  } *RANGE;
   
   typedef struct oTB {
           short id;
           short pad;
           int size,next;
           char **body;
   } *TB;
   
 typedef struct oObj {  typedef struct oObj {
         short id;          short id;
Line 548  struct order_spec {
Line 615  struct order_spec {
         } ord;          } ord;
 };  };
   
   struct modorder_spec {
           /* id : ORD_REVGRADLEX, ORD_GRADLEX, ORD_LEX */
           int id;
           Obj obj;
           int len;
           int *degree_shift;
   };
   
   typedef struct oNumberField {
           int n;
           int dim;
           VL vl;
           P *defpoly;
           DP *mb;
           DP *ps;
           struct oDAlg *one;
           NODE ind;
           struct order_spec *spec;
   } *NumberField;
   
 /* structure for cputime */  /* structure for cputime */
   
 struct oEGT {  struct oEGT {
Line 703  bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
Line 790  bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
 #define NEWSTR(l) ((l)=(STRING)MALLOC(sizeof(struct oSTRING)),OID(l)=O_STR)  #define NEWSTR(l) ((l)=(STRING)MALLOC(sizeof(struct oSTRING)),OID(l)=O_STR)
 #define NEWCOMP(c,n) ((c)=(COMP)MALLOC(sizeof(struct oCOMP)+((n)-1)*sizeof(Obj)),OID(c)=O_COMP)  #define NEWCOMP(c,n) ((c)=(COMP)MALLOC(sizeof(struct oCOMP)+((n)-1)*sizeof(Obj)),OID(c)=O_COMP)
 #define NEWDP(d) ((d)=(DP)MALLOC(sizeof(struct oDP)),OID(d)=O_DP)  #define NEWDP(d) ((d)=(DP)MALLOC(sizeof(struct oDP)),OID(d)=O_DP)
   #define NEWDPV(d) ((d)=(DPV)MALLOC(sizeof(struct oDPV)),OID(d)=O_DPV)
 #define NEWUSINT(u) ((u)=(USINT)MALLOC_ATOMIC(sizeof(struct oUSINT)),OID(u)=O_USINT)  #define NEWUSINT(u) ((u)=(USINT)MALLOC_ATOMIC(sizeof(struct oUSINT)),OID(u)=O_USINT)
 #define NEWERR(e) ((e)=(ERR)MALLOC(sizeof(struct oERR)),OID(e)=O_ERR)  #define NEWERR(e) ((e)=(ERR)MALLOC(sizeof(struct oERR)),OID(e)=O_ERR)
 #define NEWMATHCAP(e) ((e)=(MATHCAP)MALLOC(sizeof(struct oMATHCAP)),OID(e)=O_MATHCAP)  #define NEWMATHCAP(e) ((e)=(MATHCAP)MALLOC(sizeof(struct oMATHCAP)),OID(e)=O_MATHCAP)
 #define NEWBYTEARRAY(e) ((e)=(BYTEARRAY)MALLOC(sizeof(struct oBYTEARRAY)),OID(e)=O_BYTEARRAY)  #define NEWBYTEARRAY(e) ((e)=(BYTEARRAY)MALLOC(sizeof(struct oBYTEARRAY)),OID(e)=O_BYTEARRAY)
 #define NEWQUOTE(e) ((e)=(QUOTE)MALLOC(sizeof(struct oQUOTE)),OID(e)=O_QUOTE)  #define NEWQUOTE(e) ((e)=(QUOTE)MALLOC(sizeof(struct oQUOTE)),OID(e)=O_QUOTE)
   #define NEWQUOTEARG(e) ((e)=(QUOTEARG)MALLOC(sizeof(struct oQUOTEARG)),OID(e)=O_QUOTEARG)
 #define NEWOPTLIST(l) ((l)=(OPTLIST)MALLOC(sizeof(struct oOPTLIST)),OID(l)=O_OPTLIST)  #define NEWOPTLIST(l) ((l)=(OPTLIST)MALLOC(sizeof(struct oOPTLIST)),OID(l)=O_OPTLIST)
 #define NEWSYMBOL(l) ((l)=(SYMBOL)MALLOC(sizeof(struct oSYMBOL)),OID(l)=O_SYMBOL)  #define NEWSYMBOL(l) ((l)=(SYMBOL)MALLOC(sizeof(struct oSYMBOL)),OID(l)=O_SYMBOL)
 #define NEWRANGE(l) ((l)=(RANGE)MALLOC(sizeof(struct oRANGE)),OID(l)=O_RANGE)  #define NEWRANGE(l) ((l)=(RANGE)MALLOC(sizeof(struct oRANGE)),OID(l)=O_RANGE)
   #define NEWTB(l) ((l)=(TB)MALLOC(sizeof(struct oTB)),OID(l)=O_TB,(l)->size=256,(l)->next=0,(l)->body=(char **)MALLOC((l)->size*sizeof(char *)))
   
 #define NEWNODE(a) ((a)=(NODE)MALLOC(sizeof(struct oNODE)))  #define NEWNODE(a) ((a)=(NODE)MALLOC(sizeof(struct oNODE)))
 #define NEWDC(dc) ((dc)=(DCP)MALLOC(sizeof(struct oDCP)))  #define NEWDC(dc) ((dc)=(DCP)MALLOC(sizeof(struct oDCP)))
Line 723  bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
Line 813  bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
 #define NEWMAT(l) ((l)=(MAT)MALLOC(sizeof(struct oMAT)),OID(l)=O_MAT)  #define NEWMAT(l) ((l)=(MAT)MALLOC(sizeof(struct oMAT)),OID(l)=O_MAT)
 #define NEWGF2MAT(l) ((l)=(GF2MAT)MALLOC(sizeof(struct oGF2MAT)),OID(l)=O_GF2MAT)  #define NEWGF2MAT(l) ((l)=(GF2MAT)MALLOC(sizeof(struct oGF2MAT)),OID(l)=O_GF2MAT)
 #define NEWGFMMAT(l) ((l)=(GFMMAT)MALLOC(sizeof(struct oGF2MAT)),OID(l)=O_GFMMAT)  #define NEWGFMMAT(l) ((l)=(GFMMAT)MALLOC(sizeof(struct oGF2MAT)),OID(l)=O_GFMMAT)
   /* IMAT */
   #define NEWIMAT(l) ((l)=(IMAT)MALLOC(sizeof(struct oIMAT)),OID(l)=O_IMAT,l->clen=0,l->root=0,l->toor=0)
   #define NEWIENT(l) ((l)=(IMATC)MALLOC(sizeof(struct oIMATC)),l->fore=0,l->next=0)
   /* IMAT */
 #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 NEWBF(q,l) ((q)=(BF)MALLOC_ATOMIC(TRUESIZE(oBF,(l)-1,long)),OID(q)=O_N,NID(q)=N_B)  #define NEWBF(q,l) ((q)=(BF)MALLOC_ATOMIC(TRUESIZE(oBF,(l)-1,long)),OID(q)=O_N,NID(q)=N_B)
 #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)
Line 736  bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
Line 831  bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
 ((d)=(DL)MALLOC_ATOMIC(TRUESIZE(oDL,(n)-1,int)))  ((d)=(DL)MALLOC_ATOMIC(TRUESIZE(oDL,(n)-1,int)))
   
 #define MKP(v,dc,p) \  #define MKP(v,dc,p) \
 (!DEG(dc)?((p)=COEF(dc)):(NEWP(p),VR(p)=(v),DC(p)=(dc),(p)))  ((!DEG(dc)&&!NEXT(dc))?((p)=COEF(dc)):(NEWP(p),VR(p)=(v),DC(p)=(dc),(p)))
 #define MKV(v,p) \  #define MKV(v,p) \
 (NEWP(p),VR(p)=(v),NEWDC(DC(p)),\  (NEWP(p),VR(p)=(v),NEWDC(DC(p)),\
 DEG(DC(p))=ONE,COEF(DC(p))=(P)ONE,NEXT(DC(p))=0)  DEG(DC(p))=ONE,COEF(DC(p))=(P)ONE,NEXT(DC(p))=0)
Line 756  DEG(DC(p))=ONE,COEF(DC(p))=(P)ONEM,NEXT(DC(p))=0)
Line 851  DEG(DC(p))=ONE,COEF(DC(p))=(P)ONEM,NEXT(DC(p))=0)
 #define TOGFMMAT(r,c,b,m) (NEWGFMMAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(b))  #define TOGFMMAT(r,c,b,m) (NEWGFMMAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(b))
 #define MKSTR(a,b) (NEWSTR(a),(a)->body=(char *)(b))  #define MKSTR(a,b) (NEWSTR(a),(a)->body=(char *)(b))
 #define MKDP(n,m,d) (NEWDP(d),(d)->nv=(n),BDY(d)=(m))  #define MKDP(n,m,d) (NEWDP(d),(d)->nv=(n),BDY(d)=(m))
   #define MKDPV(len,m,d) (NEWDPV(d),(d)->len=(len),BDY(d)=(m))
 #define MKLM(b,l) (!(b)?(l)=0:(NEWLM(l),(l)->body=(b),(l)))  #define MKLM(b,l) (!(b)?(l)=0:(NEWLM(l),(l)->body=(b),(l)))
 #define MKGF2N(b,l) (!(b)?(l)=0:(NEWGF2N(l),(l)->body=(b),(l)))  #define MKGF2N(b,l) (!(b)?(l)=0:(NEWGF2N(l),(l)->body=(b),(l)))
 #define MKGFPN(b,l) (!(b)?(l)=0:(NEWGFPN(l),(l)->body=(b),(l)))  #define MKGFPN(b,l) (!(b)?(l)=0:(NEWGFPN(l),(l)->body=(b),(l)))
Line 765  DEG(DC(p))=ONE,COEF(DC(p))=(P)ONEM,NEXT(DC(p))=0)
Line 861  DEG(DC(p))=ONE,COEF(DC(p))=(P)ONEM,NEXT(DC(p))=0)
 #define MKBYTEARRAY(m,l) \  #define MKBYTEARRAY(m,l) \
 (NEWBYTEARRAY(m),(m)->len=(l),(m)->body=(char *)MALLOC_ATOMIC((l)),bzero((m)->body,(l)))  (NEWBYTEARRAY(m),(m)->len=(l),(m)->body=(char *)MALLOC_ATOMIC((l)),bzero((m)->body,(l)))
 #define MKQUOTE(q,b) (NEWQUOTE(q),(q)->body=(pointer)(b))  #define MKQUOTE(q,b) (NEWQUOTE(q),(q)->body=(pointer)(b))
   #define MKQUOTEARG(q,t,b) (NEWQUOTEARG(q),(q)->type=(t),(q)->body=(pointer)(b))
   
 #define NEXTDC(r,c) \  #define NEXTDC(r,c) \
 if(!(r)){NEWDC(r);(c)=(r);}else{NEWDC(NEXT(c));(c)=NEXT(c);}  if(!(r)){NEWDC(r);(c)=(r);}else{NEWDC(NEXT(c));(c)=NEXT(c);}
Line 815  PL(NM(q))=1,BD(NM(q))[0]=(unsigned int)(n),DN(q)=0,(q)
Line 912  PL(NM(q))=1,BD(NM(q))[0]=(unsigned int)(n),DN(q)=0,(q)
 #define MKReal(a,b) (!(a)?((b)=0):(NEWReal(b),BDY(b)=(a),(b)))  #define MKReal(a,b) (!(a)?((b)=0):(NEWReal(b),BDY(b)=(a),(b)))
 #define MKAlg(b,r) \  #define MKAlg(b,r) \
 (!(b)?((r)=0):NUM(b)?((r)=(Alg)(b)):(NEWAlg(r),BDY(r)=(Obj)(b),(r)))  (!(b)?((r)=0):NUM(b)?((r)=(Alg)(b)):(NEWAlg(r),BDY(r)=(Obj)(b),(r)))
   #define MKDAlg(dp,den,r) (NEWDAlg(r),(r)->nm = (dp),(r)->dn=(den))
   
   #define IMM_MAX 1073741823
   #define IMM_MIN -1073741823
   
   #define SL(n) ((n)->p)
   #define ZALLOC(d) ((Z)MALLOC_ATOMIC(TRUESIZE(oZ,(d)-1,int)))
   
 #if defined(PARI)  #if defined(PARI)
 #define ToReal(a) (!(a)?(double)0.0:REAL(a)?BDY((Real)a):RATN(a)?RatnToReal((Q)a):BIGFLOAT(a)?rtodbl(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  #else
Line 1060  void dtop(VL,VL,DP,P *);
Line 1164  void dtop(VL,VL,DP,P *);
 void ptod(VL,VL,P,DP *);  void ptod(VL,VL,P,DP *);
 void initd(struct order_spec *);  void initd(struct order_spec *);
   
   void adddv(VL,DPV,DPV,DPV *);
   void subdv(VL,DPV,DPV,DPV *);
   void muldv(VL,DP,DPV,DPV *);
   void chsgndv(DPV,DPV *);
   int compdv(VL,DPV,DPV);
   
 void _printdp(DP);  void _printdp(DP);
 void _dp_sp_mod(DP,DP,int,DP *);  void _dp_sp_mod(DP,DP,int,DP *);
 void _dp_mod(DP,int,NODE,DP *);  void _dp_mod(DP,int,NODE,DP *);
Line 1393  void chsgngfsn(GFSN,GFSN *);
Line 1503  void chsgngfsn(GFSN,GFSN *);
 void pwrgfsn(GFSN,Q, GFSN *);  void pwrgfsn(GFSN,Q, GFSN *);
 int cmpgfsn(GFSN,GFSN);  int cmpgfsn(GFSN,GFSN);
   
   void adddalg(DAlg,DAlg,DAlg *);
   void subdalg(DAlg,DAlg,DAlg *);
   void muldalg(DAlg,DAlg,DAlg *);
   void divdalg(DAlg,DAlg,DAlg *);
   void chsgndalg(DAlg,DAlg *);
   void pwrdalg(DAlg,Q, DAlg *);
   int cmpdalg(DAlg,DAlg);
   
 void addalg(Num,Num,Num *);  void addalg(Num,Num,Num *);
 void addbf(Num,Num,Num *);  void addbf(Num,Num,Num *);
 void addcplx(Num,Num,Num *);  void addcplx(Num,Num,Num *);
Line 1714  void savep(FILE *,P);
Line 1832  void savep(FILE *,P);
 void savegf2n(FILE *,GF2N);  void savegf2n(FILE *,GF2N);
 void savegfpn(FILE *,GFPN);  void savegfpn(FILE *,GFPN);
 void savegfs(FILE *,GFS);  void savegfs(FILE *,GFS);
   void savedalg(FILE *,DAlg);
 void savelm(FILE *,LM);  void savelm(FILE *,LM);
 void savemi(FILE *,MQ);  void savemi(FILE *,MQ);
 void savecplx(FILE *,C);  void savecplx(FILE *,C);
Line 1739  void loadgf2n(FILE *,GF2N *);
Line 1858  void loadgf2n(FILE *,GF2N *);
 void loadgfpn(FILE *,GFPN *);  void loadgfpn(FILE *,GFPN *);
 void loadgfs(FILE *,GFS *);  void loadgfs(FILE *,GFS *);
 void loadgfsn(FILE *,GFSN *);  void loadgfsn(FILE *,GFSN *);
   void loaddalg(FILE *,DAlg *);
 void loadlm(FILE *,LM *);  void loadlm(FILE *,LM *);
 void loadmi(FILE *,MQ *);  void loadmi(FILE *,MQ *);
 void loadcplx(FILE *,C *);  void loadcplx(FILE *,C *);
Line 2440  void afctrmain(VL vl,P p0,P p,int init,DCP *dcp);
Line 2560  void afctrmain(VL vl,P p0,P p,int init,DCP *dcp);
 int divtmp(VL vl,int mod,P p1,P p2,P *q);  int divtmp(VL vl,int mod,P p1,P p2,P *q);
 int divtdcmp(VL vl,int mod,P p1,P p2,P *q);  int divtdcmp(VL vl,int mod,P p1,P p2,P *q);
 void GC_gcollect();  void GC_gcollect();
   
   /* IMAT */
   void Pnewimat(NODE, IMAT *);
   void PChsgnI(NODE, IMAT *);
   void Pm2Im(NODE, IMAT *);
   void PIm2m(NODE, MAT *);
   
   void AddMatI(VL, IMAT, IMAT, IMAT *);
   void MulMatI(VL, IMAT, IMAT, IMAT *);
   void MulMatG(VL, Obj, Obj, Obj *);
   void MulrMatI(VL, Obj, Obj, Obj *);
   void MulMatS(VL, IMAT, IMAT, IMAT *);
   void PutIent(IMAT, int, int, Obj);
   void GetIent(IMAT, int, int, Obj);
   void GetIbody(IMAT, int, int, Obj *);
   void ChsgnI(IMAT, IMAT *c);
   void AppendIent(IMAT, int, int, Obj);
   void MEnt(int, int, int, Obj, IENT *);
   void GetForeIent(IMATC *, IENT *, int *);
   void GetNextIent(IMATC *, IENT *, int *);
   void SubMatI(VL, IMAT, IMAT, IMAT *);
   /* IMAT */
   
   Z stoz(int c);
   Z utoz(unsigned int c);
   Z qtoz(Q n);
   Q ztoq(Z n);
   Z chsgnz(Z n);
   Z simpz(Z n);
   Z dupz(Z n);
   Z absz(Z n);
   Z addz(Z n1,Z n2);
   Z subz(Z n1,Z n2);
   Z mulz(Z n1,Z n2);
   Z divsz(Z n1,Z n2);
   Z divz(Z n1,Z n2,Z *rem);
   Z gcdz(Z n1,Z n2);
   Z gcdz_cofactor(Z n1,Z n2,Z *c1,Z *c2);
   Z estimate_array_gcdz(Z *a,int n);
   Z array_gcdz(Z *a,int n);
   void mkwcz(int k,int l,Z *t);
   int remzi(Z n,int m);
   
   
 #if 0 && !defined(VISUAL)  #if 0 && !defined(VISUAL)
 void bzero(const void *,int);  void bzero(const void *,int);
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Removed from v.1.45  
changed lines
  Added in v.1.55
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