OpenXM_contrib2/asir2000/include/ca.h - diff

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Diff for /OpenXM_contrib2/asir2000/include/ca.h between version 1.37 and 1.82

version 1.37, 2003/07/09 07:11:09

version 1.82, 2012/12/17 07:20:45

Line 45

* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,

* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.

* $OpenXM: OpenXM_contrib2/asir2000/include/ca.h,v 1.36 2003/04/08 22:10:40 ohara Exp $

* $OpenXM: OpenXM_contrib2/asir2000/include/ca.h,v 1.81 2011/06/16 08:17:15 noro Exp $

#include <stdio.h>

#include <stdlib.h>

Line 57

#if !defined(VISUAL)

#include <unistd.h>

#endif

#if !defined(VISUAL)

#include <sys/param.h>

#endif

Line 93 typedef void * pointer;

Line 90 typedef void * pointer;

#endif

#define NULLP ((void *)0)

#define TODO printf("%s: not implemented!\n", __func__)

#define COPY(a,b) ((b)=(a))

#define FREEN(p)

#define FREEQ(p)

Line 118 typedef void * pointer;

Line 119 typedef void * pointer;

#define O_GFMMAT 15

#define O_BYTEARRAY 16

#define O_QUOTE 17

#define O_OPTLIST 18

#define O_SYMBOL 19

#define O_RANGE 20

#define O_TB 21

#define O_DPV 22

#define O_QUOTEARG 23

#define O_VOID -1

/* IMAT */

#define O_IMAT 24

/* IMAT */

#define O_NBP 25

#define N_Q 0

#define N_R 1

Line 131 typedef void * pointer;

Line 142 typedef void * pointer;

#define N_GFPN 8

#define N_GFS 9

#define N_GFSN 10

#define N_DA 11

#define ORD_REVGRADLEX 0

#define ORD_GRADLEX 1

#define ORD_LEX 2

#if defined(LONG_IS_32BIT)

typedef enum {

#if defined(VISUAL)

A_end=0,A_fnode,A_arf,A_int,A_str,A_internal,A_node,A_notimpl,A_func

typedef _int64 L;

} farg_type;

typedef unsigned _int64 UL;

#else

#if SIZEOF_LONG == 8

typedef long L;

typedef unsigned long UL;

#elif defined(HAVE_UNSIGNED_LONG_LONG)

typedef long long L;

typedef unsigned long long UL;

#elif defined(_MSC_VER)

typedef _int64 L;

typedef unsigned _int64 UL;

#endif

#else

typedef long L;

typedef unsigned long UL;

#endif

typedef struct oN {

int p;

unsigned int b[1];

} *N;

typedef struct oZ {

int p;

unsigned int b[1];

} *Z;

typedef struct oUP2 {

int w;

unsigned int b[1];

Line 236 typedef struct oGFPN {

Line 255 typedef struct oGFPN {

struct oUP *body;

} *GFPN;

typedef struct oDAlg {

short id;

char nid;

char pad;

struct oDP *nm;

struct oQ *dn;

} *DAlg;

typedef struct oNum {

short id;

char nid;

Line 298 typedef struct oGF2MAT {

Line 326 typedef struct oGF2MAT {

unsigned int **body;

} *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 {

short id;

short pad;

Line 323 typedef struct oDP {

Line 373 typedef struct oDP {

struct oMP *body;

} *DP;

typedef struct oDPV {

short id;

int len;

int sugar;

struct oDP **body;

} *DPV;

typedef struct oUSINT {

short id;

short pad;

Line 354 typedef struct oQUOTE {

Line 411 typedef struct oQUOTE {

pointer body;

} *QUOTE;

typedef struct oQUOTEARG {

short id;

short pad;

farg_type type;

pointer body;

} *QUOTEARG;

typedef struct oOPTLIST {

short id;

short pad;

struct oNODE *body;

} *OPTLIST;

typedef struct oSYMBOL {

short id;

short pad;

char *name;

int value;

} *SYMBOL;

typedef struct oRANGE {

short id;

short pad;

struct oObj *start,*end;

} *RANGE;

typedef struct oTB {

short id;

short pad;

int size,next;

char **body;

} *TB;

typedef struct oNBP {

short id;

short pad;

struct oNODE *body;

} *NBP;

/* non-commutative bivariate monomial */

typedef struct oNBM {

int d;

P c;

unsigned int *b;

} *NBM;

#define NEWNBM(p) ((p)=(NBM)MALLOC(sizeof(struct oNBM)))

#define NEWNBMBDY(p,d) \

((p)->b=(unsigned int *)MALLOC((((d)+31)/32)*sizeof(unsigned int)))

#define NEWNBP(p) ((p)=(NBP)MALLOC(sizeof(struct oNBP)),OID(p)=O_NBP)

#define MKNBP(p,b) (NEWNBP(p),BDY(p)=(b))

#define NBM_GET(a,j) (((a)[(j)>>5]&(1<<((j)&31)))?1:0)

#define NBM_SET(a,j) ((a)[(j)>>5]|=(1<<((j)&31)))

#define NBM_CLR(a,j) ((a)[(j)>>5]&=(~(1<<((j)&31))))

typedef struct oObj {

short id;

short pad;

Line 484 struct order_pair {

Line 598 struct order_pair {

int order, length;

};

struct sparse_weight {

int pos, value;

};

#define IS_DENSE_WEIGHT 0

#define IS_SPARSE_WEIGHT 1

#define IS_BLOCK 2

struct weight_or_block {

int type;

int length;

union {

int *dense_weight;

struct sparse_weight *sparse_weight;

struct {

int order, start;

} block;

} body;

};

struct order_spec {

int id;

Obj obj;

int nv;

int ispot; /* 1 means Position over Term (Pos then Term) */

int pot_nelim; /* size of positions for pot-elimination order */

union {

int simple;

struct {

Line 498 struct order_spec {

Line 634 struct order_spec {

int row;

int **matrix;

} matrix;

struct {

int length;

struct weight_or_block *w_or_b;

} composite;

} 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 psn;

int dim;

VL vl;

P *defpoly;

DP *mb;

DP *ps;

struct oDAlg *one;

NODE ind;

struct order_spec *spec;

} *NumberField;

/* structure for cputime */

struct oEGT {

Line 565 typedef unsigned int ModNum;

Line 726 typedef unsigned int ModNum;

/* memory allocators (W_... : uses alloca) */

#if 0

#define MALLOC(d) Risa_GC_malloc(d)

#define MALLOC_ATOMIC(d) Risa_GC_malloc_atomic(d)

#define MALLOC_ATOMIC_IGNORE_OFF_PAGE(d) Risa_GC_malloc_atomic_ignore_off_page(d)

#define REALLOC(p,d) Risa_GC_realloc(p,d)

#else

#define GCFREE(p) Risa_GC_free(p)

#define MALLOC(d) GC_malloc(d)

#define MALLOC_ATOMIC(d) GC_malloc_atomic(d)

#define REALLOC(p,d) GC_realloc(p,d)

#endif

#define CALLOC(d,e) MALLOC((d)*(e))

#if !defined(__CYGWIN__) && (defined(__GNUC__) || defined(vax) || defined(apollo) || defined(alloca) || defined(VISUAL))

Line 583 typedef unsigned int ModNum;

Line 740 typedef unsigned int ModNum;

#endif

/* for setjmp/longjmp compatibility */

#if defined(__CYGWIN__)

#if defined(__CYGWIN__) || defined(__x86_64)

#define JMP_BUF sigjmp_buf

#define SETJMP(x) sigsetjmp(x,~0)

#define LONGJMP(x,y) siglongjmp(x,y)

Line 656 bzero((char *)(q)->b,(w)*sizeof(unsigned int)))

Line 813 bzero((char *)(q)->b,(w)*sizeof(unsigned int)))

#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 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 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 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 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 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 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 NEWDC(dc) ((dc)=(DCP)MALLOC(sizeof(struct oDCP)))

Line 673 bzero((char *)(q)->b,(w)*sizeof(unsigned int)))

Line 836 bzero((char *)(q)->b,(w)*sizeof(unsigned int)))

#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 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 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 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)

Line 686 bzero((char *)(q)->b,(w)*sizeof(unsigned int)))

Line 854 bzero((char *)(q)->b,(w)*sizeof(unsigned int)))

((d)=(DL)MALLOC_ATOMIC(TRUESIZE(oDL,(n)-1,int)))

#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) \

(NEWP(p),VR(p)=(v),NEWDC(DC(p)),\

DEG(DC(p))=ONE,COEF(DC(p))=(P)ONE,NEXT(DC(p))=0)

Line 706 DEG(DC(p))=ONE,COEF(DC(p))=(P)ONEM,NEXT(DC(p))=0)

Line 874 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 MKSTR(a,b) (NEWSTR(a),(a)->body=(char *)(b))

#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 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)))

Line 713 DEG(DC(p))=ONE,COEF(DC(p))=(P)ONEM,NEXT(DC(p))=0)

Line 882 DEG(DC(p))=ONE,COEF(DC(p))=(P)ONEM,NEXT(DC(p))=0)

#define MKERR(e,b) (NEWERR(e),(e)->body=(Obj)(b))

#define MKMATHCAP(e,b) (NEWMATHCAP(e),(e)->body=(LIST)(b))

#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=(unsigned char *)MALLOC_ATOMIC((l)),bzero((m)->body,(l)))

#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) \

if(!(r)){NEWDC(r);(c)=(r);}else{NEWDC(NEXT(c));(c)=NEXT(c);}

Line 765 PL(NM(q))=1,BD(NM(q))[0]=(unsigned int)(n),DN(q)=0,(q)

Line 935 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 MKAlg(b,r) \

(!(b)?((r)=0):NUM(b)?((r)=(Alg)(b)):(NEWAlg(r),BDY(r)=(Obj)(b),(r)))

#define MKDAlg(dp,den,r) (!(dp)?(void *)((r)=0):(void *)(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)

#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

Line 776 PL(NM(q))=1,BD(NM(q))[0]=(unsigned int)(n),DN(q)=0,(q)

Line 953 PL(NM(q))=1,BD(NM(q))[0]=(unsigned int)(n),DN(q)=0,(q)

#define NUM(p) (OID(p)==O_N)

#define RAT(p) (OID(p)==O_R)

#define RATN(a) (NID(a)==N_Q)

#define POLY(a) (!(a) ||(OID(a)<=O_P))

#define INT(q) (!(q)||(NUM(q)&&RATN((Num)q)&&!DN((Q)q)))

#define REAL(a) (NID(a)==N_R)

#define BIGFLOAT(a) (NID(a)==N_B)

Line 855 extern VL CO,ALG;

Line 1033 extern VL CO,ALG;

extern VL PVL;

extern R ONER;

extern Q ONE;

extern Q TWO;

extern MQ ONEM;

extern LM ONELM;

extern N ONEN;

Line 867 extern const int sprime[];

Line 1046 extern const int sprime[];

extern int sprime[];

#endif

extern int lprime_size;

extern int *lprime;

extern void (*addnumt[])();

extern void (*subnumt[])();

extern void (*mulnumt[])();

Line 980 void square_rem_tab_up_gf2n(UP,UP *,UP *);

Line 1156 void square_rem_tab_up_gf2n(UP,UP *,UP *);

void powertabup_gf2n(UP,UP,UP *);

void find_root_gf2n(UP,GF2N *);

int cmpdl_composite(int,DL,DL);

int cmpdl_matrix(int,DL,DL);

int cmpdl_order_pair(int,DL,DL);

int cmpdl_elim(int,DL,DL);

Line 1008 void dtop(VL,VL,DP,P *);

Line 1185 void dtop(VL,VL,DP,P *);

void ptod(VL,VL,P,DP *);

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 _dp_sp_mod(DP,DP,int,DP *);

void _dp_mod(DP,int,NODE,DP *);

Line 1133 void copyn(N,int,int *);

Line 1316 void copyn(N,int,int *);

void kmulnmain(N,N,N *);

int qcoefp(Obj);

int qcoefr(Obj);

int get_allocwords(void);

size_t get_allocwords(void);

double get_clock(void);

void get_eg(struct oEGT *);

void printtime(struct oEGT *,struct oEGT *,double);

Line 1238 LUM LUMALLOC(int, int);

Line 1421 LUM LUMALLOC(int, int);

BM BMALLOC(int, int);

Obj ToAlg(Num);

UM *berlemain(register int, UM, UM *);

void Risa_GC_set_adj(int,int);

void Risa_GC_get_adj(int *,int *);

void *Risa_GC_malloc(size_t);

void *Risa_GC_malloc_atomic(size_t);

void *Risa_GC_realloc(void *,size_t);

Line 1341 void chsgngfsn(GFSN,GFSN *);

Line 1526 void chsgngfsn(GFSN,GFSN *);

void pwrgfsn(GFSN,Q, 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 addbf(Num,Num,Num *);

void addcplx(Num,Num,Num *);

Line 1437 void dtestroot(int,int,P,LUM,struct oDUM *,DCP *);

Line 1630 void dtestroot(int,int,P,LUM,struct oDUM *,DCP *);

void dtestroot1(int,int,P,LUM,P *);

void dtestsq(int,int,P,LUM,P *);

void dtestsql(P,ML,struct oDUM *,DCP *);

void ediffp(VL,P,V,P *);

void estimatelc(VL,Q,DCP,VN,P *);

void eucum(register int,UM,UM,UM,UM);

void exthp(VL,P,int,P *);

Line 1661 void savep(FILE *,P);

Line 1855 void savep(FILE *,P);

void savegf2n(FILE *,GF2N);

void savegfpn(FILE *,GFPN);

void savegfs(FILE *,GFS);

void savedalg(FILE *,DAlg);

void savelm(FILE *,LM);

void savemi(FILE *,MQ);

void savecplx(FILE *,C);

Line 1686 void loadgf2n(FILE *,GF2N *);

Line 1881 void loadgf2n(FILE *,GF2N *);

void loadgfpn(FILE *,GFPN *);

void loadgfs(FILE *,GFS *);

void loadgfsn(FILE *,GFSN *);

void loaddalg(FILE *,DAlg *);

void loadlm(FILE *,LM *);

void loadmi(FILE *,MQ *);

void loadcplx(FILE *,C *);

Line 2276 void resume_timer() ;

Line 2472 void resume_timer() ;

void reset_engine() ;

unsigned int get_asir_version() ;

char *get_asir_distribution();

void create_error(ERR *err,unsigned int serial,char *msg);

void create_error(ERR *err,unsigned int serial,char *msg,LIST trace);

void init_lprime();

int get_lprime(int index);

void create_new_lprimes(int index);

Line 2388 int divtmp(VL vl,int mod,P p1,P p2,P *q);

Line 2584 int divtmp(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();

/* 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)

void bzero(const void *,int);

void bcopy(const void *,void *,int);

char *index(char *,int);

#endif

void chsgnnbp(NBP p,NBP *rp);

void subnbp(VL vl,NBP p1,NBP p2, NBP *rp);

void addnbp(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);

int compnbp(VL vl,NBP p1,NBP p2);

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