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Diff for /OpenXM_contrib2/asir2000/include/ca.h between version 1.1.1.1 and 1.19

version 1.1.1.1, 1999/12/03 07:39:11 version 1.19, 2001/08/20 09:03:25
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 /* $OpenXM: OpenXM/src/asir99/include/ca.h,v 1.1.1.1 1999/11/10 08:12:30 noro Exp $ */  /*
    * Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED
    * All rights reserved.
    *
    * FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
    * non-exclusive and royalty-free license to use, copy, modify and
    * redistribute, solely for non-commercial and non-profit purposes, the
    * computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
    * conditions of this Agreement. For the avoidance of doubt, you acquire
    * only a limited right to use the SOFTWARE hereunder, and FLL or any
    * third party developer retains all rights, including but not limited to
    * copyrights, in and to the SOFTWARE.
    *
    * (1) FLL does not grant you a license in any way for commercial
    * purposes. You may use the SOFTWARE only for non-commercial and
    * non-profit purposes only, such as academic, research and internal
    * business use.
    * (2) The SOFTWARE is protected by the Copyright Law of Japan and
    * international copyright treaties. If you make copies of the SOFTWARE,
    * with or without modification, as permitted hereunder, you shall affix
    * to all such copies of the SOFTWARE the above copyright notice.
    * (3) An explicit reference to this SOFTWARE and its copyright owner
    * shall be made on your publication or presentation in any form of the
    * results obtained by use of the SOFTWARE.
    * (4) In the event that you modify the SOFTWARE, you shall notify FLL by
    * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
    * for such modification or the source code of the modified part of the
    * SOFTWARE.
    *
    * THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
    * MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
    * EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
    * FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
    * RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
    * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
    * UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
    * OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
    * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
    * DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
    * ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
    * FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
    * DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
    * SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART
    * OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY
    * 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 1.18 2001/07/03 01:41:26 noro Exp $
   */
 #include <stdio.h>  #include <stdio.h>
   
 #if defined(hpux)  #if defined(hpux)
Line 10 
Line 58 
 #include <stdlib.h>  #include <stdlib.h>
 #endif  #endif
   
 #if defined(__MWERKS__)  
 #define THINK_C  
 #endif  
   
 #if defined(linux) || (defined(sun) && !defined(SYSV)) || defined(news5000) || (defined(mips) && defined(ultrix))  #if defined(linux) || (defined(sun) && !defined(SYSV)) || defined(news5000) || (defined(mips) && defined(ultrix))
 #include <alloca.h>  #include <alloca.h>
 #endif  #endif
Line 31 
Line 75 
 typedef caddr_t pointer;  typedef caddr_t pointer;
 #endif  #endif
   
 #ifndef PARI  
 /* for THINK C ... */  
 #define PARI 1  
 #endif  
   
 typedef void * pointer;  typedef void * pointer;
   
 #if defined(VISUAL)  #if defined(VISUAL)
Line 68  typedef void * pointer;
Line 107  typedef void * pointer;
 #define O_MATHCAP 13  #define O_MATHCAP 13
 #define O_F 14  #define O_F 14
 #define O_GFMMAT 15  #define O_GFMMAT 15
   #define O_BYTEARRAY 16
   #define O_QUOTE 17
 #define O_VOID -1  #define O_VOID -1
   
 #define N_Q 0  #define N_Q 0
Line 79  typedef void * pointer;
Line 120  typedef void * pointer;
 #define N_LM 6  #define N_LM 6
 #define N_GF2N 7  #define N_GF2N 7
 #define N_GFPN 8  #define N_GFPN 8
   #define N_GFS 9
   
 #define ORD_REVGRADLEX 0  #define ORD_REVGRADLEX 0
 #define ORD_GRADLEX 1  #define ORD_GRADLEX 1
Line 197  typedef struct oMQ {
Line 239  typedef struct oMQ {
         int cont;          int cont;
 } *MQ;  } *MQ;
   
   typedef struct oGFS {
           short id;
           char nid;
           char pad;
           int cont;
   } *GFS;
   
   
 typedef struct oP {  typedef struct oP {
         short id;          short id;
         short pad;          short pad;
Line 275  typedef struct oMATHCAP {
Line 325  typedef struct oMATHCAP {
         struct oLIST *body;          struct oLIST *body;
 } *MATHCAP;  } *MATHCAP;
   
   typedef struct oBYTEARRAY {
           short id;
           short pad;
           int len;
           unsigned char *body;
   } *BYTEARRAY;
   
   typedef struct oQUOTE {
           short id;
           short pad;
           pointer body;
   } *QUOTE;
   
 typedef struct oObj {  typedef struct oObj {
         short id;          short id;
         short pad;          short pad;
Line 307  typedef struct oNODE {
Line 370  typedef struct oNODE {
         struct oNODE *next;          struct oNODE *next;
 } *NODE;  } *NODE;
   
   /* univariate poly over small finite field; dense */
 typedef struct oUM {  typedef struct oUM {
         int d;          int d;
         int c[1];          int c[1];
 } *UM;  } *UM;
   
   /* univariate poly with padic coeff */
 typedef struct oLUM {  typedef struct oLUM {
         int d;          int d;
         int *c[1];          int *c[1];
 } *LUM;  } *LUM;
   
   /* bivariate poly over small finite field; dense */
   
   typedef struct oBM {
           int d;
           UM c[1];
   } *BM;
   
 typedef struct oML {  typedef struct oML {
         int n;          int n;
         int mod;          int mod;
Line 378  struct oEGT {
Line 450  struct oEGT {
 #define FF_GFP 1  #define FF_GFP 1
 #define FF_GF2N 2  #define FF_GF2N 2
 #define FF_GFPN 3  #define FF_GFPN 3
   #define FF_GFS 4
   
   /* include interval.h */
   #include "interval.h"
   
 #define INDEX 100  #define INDEX 100
   
 #if USE_FLOAT  #if USE_FLOAT
Line 462  bzero((char *)(p),(int)(((n)+1)*sizeof(type))))
Line 538  bzero((char *)(p),(int)(((n)+1)*sizeof(type))))
         (p) = ___q___;\          (p) = ___q___;\
 }  }
   
   #define W_BMALLOC(dx,dy,p)\
   {\
           BM ___q___;\
           int ___i___;\
           UM *___c___;\
           (___q___) = (BM)ALLOCA(TRUESIZE(oBM,(dy),UM));\
           DEG(___q___) = dy;\
           ___c___ = (UM *)COEF(___q___);\
           for ( ___i___ = 0; ___i___ <= dy; ___i___++ ) {\
                   ___c___[___i___] = W_UMALLOC(dx);\
                   clearum(___c___[___i___],dx);\
           }\
           (p) = ___q___;\
   }
   
 #define NEWUP2(q,w)\  #define NEWUP2(q,w)\
 ((q)=(UP2)MALLOC_ATOMIC(TRUESIZE(oUP2,(w)-1,unsigned int)),\  ((q)=(UP2)MALLOC_ATOMIC(TRUESIZE(oUP2,(w)-1,unsigned int)),\
 bzero((char *)(q)->b,(w)*sizeof(unsigned int)))  bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
Line 474  bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
Line 565  bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
 /* cell allocators */  /* cell allocators */
 #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 NEWP(p) ((p)=(P)MALLOC(sizeof(struct oP)),OID(p)=O_P)  #define NEWP(p) ((p)=(P)MALLOC(sizeof(struct oP)),OID(p)=O_P)
 #define NEWR(r) ((r)=(R)MALLOC(sizeof(struct oR)),OID(r)=O_R,(r)->reduced=0)  #define NEWR(r) ((r)=(R)MALLOC(sizeof(struct oR)),OID(r)=O_R,(r)->reduced=0)
 #define NEWLIST(l) ((l)=(LIST)MALLOC(sizeof(struct oLIST)),OID(l)=O_LIST)  #define NEWLIST(l) ((l)=(LIST)MALLOC(sizeof(struct oLIST)),OID(l)=O_LIST)
Line 484  bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
Line 576  bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
 #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 NEWQUOTE(e) ((e)=(QUOTE)MALLOC(sizeof(struct oQUOTE)),OID(e)=O_QUOTE)
   
 #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 503  bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
Line 597  bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
 #define NEWGFPN(r) ((r)=(GFPN)MALLOC(sizeof(struct oGFPN)),OID(r)=O_N,NID(r)=N_GFPN)  #define NEWGFPN(r) ((r)=(GFPN)MALLOC(sizeof(struct oGFPN)),OID(r)=O_N,NID(r)=N_GFPN)
 #define NEWDL(d,n) \  #define NEWDL(d,n) \
 ((d)=(DL)MALLOC_ATOMIC(TRUESIZE(oDL,(n)-1,int)),bzero((char *)(d),TRUESIZE(oDL,(n)-1,int)))  ((d)=(DL)MALLOC_ATOMIC(TRUESIZE(oDL,(n)-1,int)),bzero((char *)(d),TRUESIZE(oDL,(n)-1,int)))
   #define NEWDL_NOINIT(d,n) \
   ((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)?((p)=COEF(dc)):(NEWP(p),VR(p)=(v),DC(p)=(dc),(p)))
Line 531  DEG(DC(p))=ONE,COEF(DC(p))=(P)ONEM,NEXT(DC(p))=0)
Line 627  DEG(DC(p))=ONE,COEF(DC(p))=(P)ONEM,NEXT(DC(p))=0)
 #define MKUSINT(u,b) (NEWUSINT(u),(u)->body=(unsigned)(b))  #define MKUSINT(u,b) (NEWUSINT(u),(u)->body=(unsigned)(b))
 #define MKERR(e,b) (NEWERR(e),(e)->body=(Obj)(b))  #define MKERR(e,b) (NEWERR(e),(e)->body=(Obj)(b))
 #define MKMATHCAP(e,b) (NEWMATHCAP(e),(e)->body=(LIST)(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)))
   #define MKQUOTE(q,b) (NEWQUOTE(q),(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 538  if(!(r)){NEWDC(r);(c)=(r);}else{NEWDC(NEXT(c));(c)=NEX
Line 637  if(!(r)){NEWDC(r);(c)=(r);}else{NEWDC(NEXT(c));(c)=NEX
 if(!(r)){NEWNODE(r);(c)=(r);}else{NEWNODE(NEXT(c));(c)=NEXT(c);}  if(!(r)){NEWNODE(r);(c)=(r);}else{NEWNODE(NEXT(c));(c)=NEXT(c);}
 #define NEXTMP(r,c) \  #define NEXTMP(r,c) \
 if(!(r)){NEWMP(r);(c)=(r);}else{NEWMP(NEXT(c));(c)=NEXT(c);}  if(!(r)){NEWMP(r);(c)=(r);}else{NEWMP(NEXT(c));(c)=NEXT(c);}
   #define NEXTMP2(r,c,s) \
   if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);}
   
 /* convertors */  /* convertors */
 #define NTOQ(n,s,q) \  #define NTOQ(n,s,q) \
Line 552  SGN(q)=((n)>0?1:-1),NM(q)=NALLOC(1),\
Line 653  SGN(q)=((n)>0?1:-1),NM(q)=NALLOC(1),\
 PL(NM(q))=1,BD(NM(q))[0]=ABS(n),DN(q)=0,(q)))  PL(NM(q))=1,BD(NM(q))[0]=ABS(n),DN(q)=0,(q)))
 #define UTOMQ(a,b) \  #define UTOMQ(a,b) \
 ((a)?(NEWMQ(b),CONT(b)=(unsigned int)(a),(b)):((b)=0))  ((a)?(NEWMQ(b),CONT(b)=(unsigned int)(a),(b)):((b)=0))
   #define MKGFS(a,b) \
   ((NEWGFS(b),CONT(b)=(a),(b)))
 #define STOMQ(a,b) \  #define STOMQ(a,b) \
 ((a)?(NEWMQ(b),CONT(b)=(a),(b)):((b)=0))  ((a)?(NEWMQ(b),CONT(b)=(a),(b)):((b)=0))
 #define UTON(u,n) \  #define UTON(u,n) \
Line 570  PL(NM(q))=1,BD(NM(q))[0]=(unsigned int)(n),DN(q)=0,(q)
Line 673  PL(NM(q))=1,BD(NM(q))[0]=(unsigned int)(n),DN(q)=0,(q)
 #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 ToReal(a) (!(a)?(double)0.0:REAL(a)?BDY((Real)a):RATN(a)?RatnToReal((Q)a):0)  #if 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
   #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 578  PL(NM(q))=1,BD(NM(q))[0]=(unsigned int)(n),DN(q)=0,(q)
Line 685  PL(NM(q))=1,BD(NM(q))[0]=(unsigned int)(n),DN(q)=0,(q)
 #define INT(q) (!DN((Q)q))  #define INT(q) (!DN((Q)q))
 #define RATN(a) (NID(a)==N_Q)  #define RATN(a) (NID(a)==N_Q)
 #define REAL(a) (NID(a)==N_R)  #define REAL(a) (NID(a)==N_R)
   #define BIGFLOAT(a) (NID(a)==N_B)
 #define SFF(a) (NID(a)==N_M)  #define SFF(a) (NID(a)==N_M)
 #define UNIQ(q) ((q)&&NUM(q)&&RATN(q)&&(SGN((Q)q)==1)&&UNIN(NM((Q)q))&&(!DN((Q)q)))  #define UNIQ(q) ((q)&&NUM(q)&&RATN(q)&&(SGN((Q)q)==1)&&UNIN(NM((Q)q))&&(!DN((Q)q)))
 #define UNIMQ(q) ((q)&&NUM(q)&&SFF(q)&&(CONT((MQ)q)==1))  #define UNIMQ(q) ((q)&&NUM(q)&&SFF(q)&&(CONT((MQ)q)==1))
Line 586  PL(NM(q))=1,BD(NM(q))[0]=(unsigned int)(n),DN(q)=0,(q)
Line 694  PL(NM(q))=1,BD(NM(q))[0]=(unsigned int)(n),DN(q)=0,(q)
 #define UNIN(n) ((n)&&(PL(n)==1)&&(BD(n)[0]==1))  #define UNIN(n) ((n)&&(PL(n)==1)&&(BD(n)[0]==1))
 #define EVENN(n) ((!(n))||(!(BD(n)[0]%2)))  #define EVENN(n) ((!(n))||(!(BD(n)[0]%2)))
   
   /* special macros for private memory management */
   
   #define NV(p) ((p)->nv)
   #define C(p) ((p)->c)
   #define ITOS(p) (((unsigned int)(p))&0x7fffffff)
   #define STOI(i) ((P)((unsigned int)(i)|0x80000000))
   
   /* immediate GFS representation */
   
   #define IFTOF(p) ((int)(((unsigned int)(p))&0x7fffffff))
   #define FTOIF(i) ((int)(((unsigned int)(i)|0x80000000)))
   
   struct cdl {
           P c;
           DL d;
   };
   
   struct cdlm {
           int c;
           DL d;
   };
   
   extern MP _mp_free_list;
   extern DP _dp_free_list;
   extern DL _dl_free_list;
   extern int current_dl_length;
   
   #define _NEWDL_NOINIT(d,n) if ((n)!= current_dl_length){_dl_free_list=0; current_dl_length=(n);} if(!_dl_free_list)_DL_alloc(); (d)=_dl_free_list; _dl_free_list = *((DL *)_dl_free_list)
   #define _NEWDL(d,n) if ((n)!= current_dl_length){_dl_free_list=0; current_dl_length=(n);} if(!_dl_free_list)_DL_alloc(); (d)=_dl_free_list; _dl_free_list = *((DL *)_dl_free_list); bzero((d),(((n)+1)*sizeof(int)))
   #define _NEWMP(m) if(!_mp_free_list)_MP_alloc(); (m)=_mp_free_list; _mp_free_list = NEXT(_mp_free_list)
   #define _MKDP(n,m,d) if(!_dp_free_list)_DP_alloc(); (d)=_dp_free_list; _dp_free_list = (DP)BDY(_dp_free_list); (d)->id = O_DP; (d)->nv=(n); BDY(d)=(m)
   
   #define _NEXTMP(r,c) \
   if(!(r)){_NEWMP(r);(c)=(r);}else{_NEWMP(NEXT(c));(c)=NEXT(c);}
   
   #define _NEXTMP2(r,c,s) \
   if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);}
   
   #define _FREEDL(m) *((DL *)m)=_dl_free_list; _dl_free_list=(m)
   #define _FREEMP(m) NEXT(m)=_mp_free_list; _mp_free_list=(m)
   #define _FREEDP(m) BDY(m)=(MP)_dp_free_list; _dp_free_list=(m)
   
 /* externals */  /* externals */
 #if 0  #if 0
 double NatToReal();  double NatToReal();
Line 612  extern N ONEN;
Line 761  extern N ONEN;
 extern UP2 ONEUP2;  extern UP2 ONEUP2;
   
 extern FILE *asir_out;  extern FILE *asir_out;
 #if defined(__GNUC__) || defined(THINK_C)  #if defined(__GNUC__)
 extern const int sprime[];  extern const int sprime[];
 extern const int lprime[];  
 #else  #else
 extern int sprime[];  extern int sprime[];
 extern int lprime[];  
 #endif  #endif
   
   extern int lprime_size;
   extern int *lprime;
   
 extern void (*addnumt[])();  extern void (*addnumt[])();
 extern void (*subnumt[])();  extern void (*subnumt[])();
 extern void (*mulnumt[])();  extern void (*mulnumt[])();
Line 630  extern void (*chsgnnumt[])();
Line 780  extern void (*chsgnnumt[])();
   
 /* prototypes */  /* prototypes */
 int compui(VL,USINT,USINT);  int compui(VL,USINT,USINT);
   int compbytearray(VL,BYTEARRAY,BYTEARRAY);
   
 void powermodup(UP,UP *);  void powermodup(UP,UP *);
 void hybrid_powermodup(UP,UP *);  void hybrid_powermodup(UP,UP *);
Line 968  int int_bits(int);
Line 1119  int int_bits(int);
   
   
 LUM LUMALLOC(int, int);  LUM LUMALLOC(int, int);
   BM BMALLOC(int, int);
 Obj ToAlg(Num);  Obj ToAlg(Num);
 UM *berlemain(register int, UM, UM *);  UM *berlemain(register int, UM, UM *);
 void *Risa_GC_malloc(size_t);  void *Risa_GC_malloc(size_t);
Line 979  void *GC_realloc(void *,size_t);
Line 1131  void *GC_realloc(void *,size_t);
 double NatToReal(N,int *);  double NatToReal(N,int *);
 double RatnToReal(Q);  double RatnToReal(Q);
 double pwrreal0(double,int);  double pwrreal0(double,int);
   double rtodbl(); /* XXX */
 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 1055  void chsgngfpn(GFPN,GFPN *);
Line 1208  void chsgngfpn(GFPN,GFPN *);
 void pwrgfpn(GFPN,Q, GFPN *);  void pwrgfpn(GFPN,Q, GFPN *);
 int cmpgfpn(GFPN,GFPN);  int cmpgfpn(GFPN,GFPN);
   
   void addgfs(GFS,GFS,GFS *);
   void subgfs(GFS,GFS,GFS *);
   void mulgfs(GFS,GFS,GFS *);
   void divgfs(GFS,GFS,GFS *);
   void chsgngfs(GFS,GFS *);
   void pwrgfs(GFS,Q, GFS *);
   int cmpgfs(GFS,GFS);
   
 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 1079  void addlm(LM,LM,LM *);
Line 1240  void addlm(LM,LM,LM *);
 void addstr(VL,STRING,STRING,STRING *);  void addstr(VL,STRING,STRING,STRING *);
 void addum(int,UM,UM,UM);  void addum(int,UM,UM,UM);
 void addvect(VL,VECT,VECT,VECT *);  void addvect(VL,VECT,VECT,VECT *);
   void addquote(VL,QUOTE,QUOTE,QUOTE *);
 void adjc(VL,P,P,P,Q,P *,P *);  void adjc(VL,P,P,P,Q,P *,P *);
 void afctr(VL,P,P,DCP *);  void afctr(VL,P,P,DCP *);
 void afctrmain(VL,P,P,int,DCP *);  void afctrmain(VL,P,P,int,DCP *);
Line 1102  void chsgnreal(Num,Num *);
Line 1264  void chsgnreal(Num,Num *);
 void chsgnmi(MQ,MQ *);  void chsgnmi(MQ,MQ *);
 void chsgnlm(LM,LM *);  void chsgnlm(LM,LM *);
 void chsgnvect(VECT,VECT *);  void chsgnvect(VECT,VECT *);
   void chsgnquote(QUOTE,QUOTE *);
 void clctv(VL,P,VL *);  void clctv(VL,P,VL *);
 void clctvr(VL,Obj,VL *);  void clctvr(VL,Obj,VL *);
 void cm2p(Q,Q,P,P *);  void cm2p(Q,Q,P,P *);
Line 1143  void divsrdcp(VL,P,P,P *,P *);
Line 1306  void divsrdcp(VL,P,P,P *,P *);
 void divsrmp(VL,int,P,P,P *,P *);  void divsrmp(VL,int,P,P,P *,P *);
 void divsrp(VL,P,P,P *,P *);  void divsrp(VL,P,P,P *,P *);
 void divvect(VL,Obj,Obj,Obj *);  void divvect(VL,Obj,Obj,Obj *);
   void divquote(VL,QUOTE,QUOTE,QUOTE *);
 void dtest(P,ML,int,DCP *);  void dtest(P,ML,int,DCP *);
 void dtestroot(int,int,P,LUM,struct oDUM *,DCP *);  void dtestroot(int,int,P,LUM,struct oDUM *,DCP *);
 void dtestroot1(int,int,P,LUM,P *);  void dtestroot1(int,int,P,LUM,P *);
Line 1238  void mulsgn(VN,VN,int,VN);
Line 1402  void mulsgn(VN,VN,int,VN);
 void mulsum(register int,UM,register int,UM);  void mulsum(register int,UM,register int,UM);
 void mulum(register int,UM,UM,UM);  void mulum(register int,UM,UM,UM);
 void mulvect(VL,Obj,Obj,Obj *);  void mulvect(VL,Obj,Obj,Obj *);
   void mulquote(VL,QUOTE,QUOTE,QUOTE *);
 void mulvectmat(VL,VECT,MAT,VECT *);  void mulvectmat(VL,VECT,MAT,VECT *);
 void next(VN);  void next(VN);
 void nezgcdnp_sqfr_primitive(VL,P,P *,int,P *);  void nezgcdnp_sqfr_primitive(VL,P,P *,int,P *);
Line 1283  void pwrnum(VL,Num,Num,Num *);
Line 1448  void pwrnum(VL,Num,Num,Num *);
 void pwrp(VL,P,Q,P *);  void pwrp(VL,P,Q,P *);
 void pwrq(Q,Q,Q *);  void pwrq(Q,Q,Q *);
 void pwrr(VL,Obj,Obj,Obj *);  void pwrr(VL,Obj,Obj,Obj *);
   void pwrquote(VL,QUOTE,QUOTE,QUOTE *);
 void pwrreal(Num,Num,Real *);  void pwrreal(Num,Num,Real *);
 void pwrmi(MQ,Q,MQ *);  void pwrmi(MQ,Q,MQ *);
 void pwrlm(LM,Q,LM *);  void pwrlm(LM,Q,LM *);
Line 1341  void substp(VL,P,V,P,P *);
Line 1507  void substp(VL,P,V,P,P *);
 void substvp(VL,P,VN,P *);  void substvp(VL,P,VN,P *);
 void subum(int,UM,UM,UM);  void subum(int,UM,UM,UM);
 void subvect(VL,VECT,VECT,VECT *);  void subvect(VL,VECT,VECT,VECT *);
   void subquote(VL,QUOTE,QUOTE,QUOTE *);
 void toreim(Num,Num *,Num *);  void toreim(Num,Num *,Num *);
 void ucsump(P,Q *);  void ucsump(P,Q *);
 void udivpwm(Q,P,P,P *,P *);  void udivpwm(Q,P,P,P *,P *);
Legend:
Removed from v.1.1.1.1  
changed lines
  Added in v.1.19
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