[BACK]Return to parif.c CVS log [TXT][DIR] Up to [local] / OpenXM_contrib2 / asir2000 / builtin

Diff for /OpenXM_contrib2/asir2000/builtin/parif.c between version 1.15 and 1.39

version 1.15, 2009/03/16 16:43:02 version 1.39, 2018/04/09 04:07:27
Line 1 
Line 1 
 /*  /* $OpenXM: OpenXM_contrib2/asir2000/builtin/parif.c,v 1.38 2018/03/29 01:32:50 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/builtin/parif.c,v 1.14 2003/02/14 22:29:07 ohara Exp $  
 */  
 #include "ca.h"  #include "ca.h"
 #include "parse.h"  #include "parse.h"
   #include "ox.h"
   
 #if defined(PARI)  Q ox_pari_stream;
 #include "genpari.h"  int ox_pari_stream_initialized = 0;
   int ox_get_pari_result = 0;
   P ox_pari_starting_function = 0;
   
 extern long prec;  typedef void (*mpfr_func)(NODE,Obj *);
   
 void patori(GEN,Obj *);  void Pmpfr_ai();
 void patori_i(GEN,N *);  void Pmpfr_eint(), Pmpfr_erf(),Pmpfr_li2();
 void ritopa(Obj,GEN *);  void Pmpfr_zeta();
 void ritopa_i(N,int,GEN *);  void Pmpfr_j0(), Pmpfr_j1();
   void Pmpfr_y0(), Pmpfr_y1();
   void Pmpfr_gamma(), Pmpfr_lngamma(), Pmpfr_digamma();
   void Pmpfr_floor(), Pmpfr_round(), Pmpfr_ceil();
   
 void Ptodouble();  struct mpfr_tab_rec {
 void Peval(),Psetprec(),p_pi(),p_e(),p_mul(),p_gcd();    char *name;
 void asir_cgiv(GEN);    mpfr_func func;
   } mpfr_tab[] = {
 #if defined(INTERVAL) || 1    {"ai",Pmpfr_ai},
 void Psetprecword();    {"zeta",Pmpfr_zeta},
 #endif    {"j0",Pmpfr_j0},
     {"j1",Pmpfr_j1},
 struct ftab pari_tab[] = {    {"y0",Pmpfr_y0},
         {"eval",Peval,-2},    {"y1",Pmpfr_y1},
         {"setprec",Psetprec,-1},    {"eint",Pmpfr_eint},
         {"todouble",Ptodouble,1},    {"erf",Pmpfr_erf},
 #if defined(INTERVAL) || 1    {"li2",Pmpfr_li2},
         {"setprecword",Psetprecword,-1},    {"gamma",Pmpfr_gamma},
 #endif    {"lngamma",Pmpfr_gamma},
         {0,0,0},    {"digamma",Pmpfr_gamma},
     {"floor",Pmpfr_floor},
     {"ceil",Pmpfr_ceil},
     {"round",Pmpfr_round},
 };  };
   
 #define MKPREC(a,i,b) (argc(a)==(i)?mkprec(QTOS((Q)(b))):prec)  mpfr_func mpfr_search(char *name)
   
 #define CALLPARI1(f,a,p,r)\  
 ritopa((Obj)a,&_pt1_); _pt2_ = f(_pt1_,p); patori(_pt2_,r); asir_cgiv(_pt2_); asir_cgiv(_pt1_)  
 #define CALLPARI2(f,a,b,p,r)\  
 ritopa((Obj)a,&_pt1_); ritopa((Obj)b,&_pt2_); _pt3_ = f(_pt1_,_pt2_,p); patori(_pt3_,r); asir_cgiv(_pt3_); asir_cgiv(_pt2_); asir_cgiv(_pt1_)  
   
 #define PARIF1P(f,pf)\  
 void f(NODE,Obj *);\  
 void f(ar,rp) NODE ar; Obj *rp;\  
 { GEN _pt1_,_pt2_; CALLPARI1(pf,ARG0(ar),MKPREC(ar,2,ARG1(ar)),rp); }  
 #define PARIF2P(f,pf)\  
 void f(NODE,Obj *);\  
 void f(ar,rp) NODE ar; Obj *rp;\  
 { GEN _pt1_,_pt2_,_pt3_; CALLPARI2(pf,ARG0(ar),ARG1(ar),MKPREC(ar,3,ARG2(ar)),rp); }  
   
 #if defined(INTERVAL)  
 #define PREC_CONV       pariK1  
 #elif SIZEOF_LONG == 4  
 #define PREC_CONV               0.103810253  
 #elif SIZEOF_LONG == 8  
 #define PREC_CONV               0.051905126  
 #endif  
   
 /* XXX : we should be more careful when we free PARI pointers. */  
   
 void asir_cgiv(ptr)  
 GEN ptr;  
 {  {
         if ( ptr != gzero && ptr != gun    int i,n;
         && ptr != gdeux && ptr != ghalf  
         && ptr != polvar && ptr != gi )  
                 cgiv(ptr);  
 }  
   
 mkprec(p)    n = sizeof(mpfr_tab)/sizeof(struct mpfr_tab_rec);
 int p;    for ( i = 0; i < n; i++ )
 {      if ( !strcmp(name,mpfr_tab[i].name) )
         if ( p <= 0 )        return mpfr_tab[i].func;
                 p = 1;    return 0;
         return (int)(p*PREC_CONV+3);  
 }  }
   
 void Ptodouble(arg,rp)  Obj list_to_vect(Obj a)
 NODE arg;  
 Num *rp;  
 {  {
         double r,i;    int len,i;
         Real real,imag;    VECT v;
         Num num;    NODE nd;
   
         asir_assert(ARG0(arg),O_N,"todouble");    if ( !a || OID(a) != O_LIST ) return a;
         num = (Num)ARG0(arg);    len = length(BDY((LIST)a));
         if ( !num ) {    MKVECT(v,len);
                 *rp = 0;    for ( i = 0, nd = BDY((LIST)a); nd; nd = NEXT(nd), i++ )
                 return;       v->body[i] = (pointer)list_to_vect((Obj)BDY(nd));
         }    return (Obj)v;
         switch ( NID(num) ) {  
                 case N_R: case N_Q: case N_B:  
                         r = ToReal(num);  
                         MKReal(r,real);  
                         *rp = (Num)real;  
                         break;  
                 case N_C:  
                         r = ToReal(((C)num)->r);  
                         i = ToReal(((C)num)->i);  
                         MKReal(r,real);  
                         MKReal(i,imag);  
                         reimtocplx((Num)real,(Num)imag,rp);  
                         break;  
                 default:  
                         *rp = num;  
                         break;  
         }  
 }  }
   
 void Peval(arg,rp)  Obj vect_to_mat(VECT v)
 NODE arg;  
 Obj *rp;  
 {  {
         asir_assert(ARG0(arg),O_R,"eval");    MAT m;
         evalr(CO,(Obj)ARG0(arg),argc(arg)==2?QTOS((Q)ARG1(arg)):0,rp);    int len,col,i,j;
 }  
   
 void Psetprec(arg,rp)    len = v->len;
 NODE arg;    if ( v->body[0] && OID((Obj)v->body[0]) == O_VECT ) {
 Obj *rp;      col = ((VECT)v->body[0])->len;
 {    for ( i = 1; i < len; i++ )
         int p;      if ( !v->body[i] || OID((Obj)v->body[i]) != O_VECT
         Q q;       || ((VECT)v->body[i])->len != col )
       break;
 #if defined(INTERVAL) || 1      if ( i == len ) {
         p = (int)((prec-2)/PREC_CONV); STOQ(p,q); *rp = (Obj)q;      /* convert to a matrix */
         if ( arg ) {      MKMAT(m,len,col);
                 asir_assert(ARG0(arg),O_N,"setprec");      for ( i = 0; i < len; i++ )
                 p = QTOS((Q)ARG0(arg));        for ( j = 0; j < col; j++ )
                 if ( p > 0 )        m->body[i][j] = ((VECT)v->body[i])->body[j];
                         prec = (long)(p*PREC_CONV+3);      return (Obj)m;
         }    }
 #else    }
         p = (int)((prec-3)/PREC_CONV); STOQ(p,q); *rp = (Obj)q;    return (Obj)v;
         if ( arg ) {  
                 asir_assert(ARG0(arg),O_N,"setprec");  
                 prec = mkprec(QTOS((Q)ARG0(arg)));  
         }  
 #endif  
 }  }
   
 #if defined(INTERVAL) || 1  void reset_ox_pari()
 void Psetprecword(arg,rp)  
 NODE arg;  
 Obj *rp;  
 {  {
         int p;    NODE nd;
         Q q;    Obj r;
   
         p = (int)((prec-2)); STOQ(p,q); *rp = (Obj)q;    if ( ox_get_pari_result ) {
         if ( arg ) {    nd = mknode(1,ox_pari_stream);
                 asir_assert(ARG0(arg),O_N,"setprecword");    Pox_shutdown(nd,&r);
                 p = QTOS((Q)ARG0(arg));      ox_get_pari_result = 0;
                 if ( p > 0 ) {    ox_pari_stream_initialized = 0;
                         prec = p + 2;    }
                 }  
         }  
 }  }
 #endif  
   
 void p_pi(arg,rp)  pointer evalparif(FUNC f,NODE arg)
 NODE arg;  
 Obj *rp;  
 {  {
         GEN x;    int ac,intarg,opt,prec;
     Q q,r,narg,cmd;
     Real sec;
     NODE nd,oxarg,t,t1,n;
     STRING name;
     USINT ui;
     LIST list;
     Obj ret,dmy;
     mpfr_func mpfr_function;
     V v;
   
         x = mppi(MKPREC(arg,1,ARG0(arg)));    if ( arg && ARG0(arg) && NID((Num)ARG0(arg)) != N_C
         patori(x,rp); asir_cgiv(x);      && (mpfr_function = mpfr_search(f->name)) ) {
 }      (*mpfr_function)(arg,&ret);
       return (pointer) ret;
     }
   
 void p_e(arg,rp)    if ( !ox_pari_stream_initialized ) {
 NODE arg;    if ( ox_pari_starting_function && OID(ox_pari_starting_function) == O_P ) {
 Obj *rp;      v = VR(ox_pari_starting_function);
 {      if ( (int)v->attr != V_SR ) {
         GEN x;        error("pari : no handler.");
       }
       MKNODE(nd,0,0);
       r = (Q)bevalf((FUNC)v->priv,0);
     }else {
   #if !defined(VISUAL)
     MKSTR(name,"ox_pari");
     nd = mknode(2,NULL,name);
     Pox_launch_nox(nd,&r);
   #else
     error("Please load names.rr from latest asir-contrib library before using pari functions.");
   #endif
     }
     ox_pari_stream = r;
       ox_pari_stream_initialized = 1;
     }
   
         x = gexp(gun,MKPREC(arg,1,ARG0(arg))); patori(x,rp); asir_cgiv(x);    ac = argc(arg);
     /* reverse the arg list */
     for ( n = arg, t = 0; n; n = NEXT(n) ) {
       MKNODE(t1,BDY(n),t); t = t1;
     }
     /* push the reversed arg list */
     for ( ; t; t = NEXT(t) ) {
       oxarg = mknode(2,ox_pari_stream,BDY(t));
       Pox_push_cmo(oxarg,&dmy);
     }
     MKSTR(name,f->name);
     STOQ(ac,narg);
     oxarg = mknode(3,ox_pari_stream,name,narg);
     Pox_execute_function(oxarg,&dmy);
     ox_get_pari_result = 1;
   #if defined(VISUAL) || defined(__MINGW32__)
   #define SM_popCMO 262
     STOQ(SM_popCMO,cmd);
     oxarg = mknode(2,ox_pari_stream,cmd);
     Pox_push_cmd(oxarg,&dmy);
     nd = mknode(1,ox_pari_stream);
     MKLIST(list,nd);
     MKReal(1.0/8,sec);
     oxarg = mknode(2,list,sec);
     ret=0;
     do {
       check_intr();
       Pox_select(oxarg,&list);
       oxarg = mknode(1,list);
       Plength(oxarg,&ret);
     }while (!ret);
     oxarg = mknode(1,ox_pari_stream);
     Pox_get(oxarg,&ret);
   #else
     oxarg = mknode(1,ox_pari_stream);
     Pox_pop_cmo(oxarg,&ret);
   #endif
     ox_get_pari_result = 0;
     if ( ret && OID(ret) == O_ERR ) {
       char buf[BUFSIZ];
       soutput_init(buf);
       sprintexpr(CO,((ERR)ret)->body);
       error(buf);
     }
     if ( ret && OID(ret) == O_LIST ) {
       ret = list_to_vect(ret);
     ret = vect_to_mat((VECT)ret);
     }
     return ret;
 }  }
   
 void p_mul(a,b,r)  
 Obj a,b,*r;  
 {  
         GEN p1,p2,p3;  
   
         ritopa((Obj)a,&p1); ritopa((Obj)b,&p2);  
         p3 = mulii(p1,p2);  
         patori(p3,r); asir_cgiv(p3); asir_cgiv(p2); asir_cgiv(p1);  
 }  
   
 void p_gcd(a,b,r)  
 N a,b,*r;  
 {  
         GEN p1,p2,p3;  
   
         ritopa_i(a,1,&p1); ritopa_i(b,1,&p2);  
         p3 = mppgcd(p1,p2);  
         patori_i(p3,r); asir_cgiv(p3); asir_cgiv(p2); asir_cgiv(p1);  
 }  
   
 PARIF1P(p_sin,gsin) PARIF1P(p_cos,gcos) PARIF1P(p_tan,gtan)  
 PARIF1P(p_asin,gasin) PARIF1P(p_acos,gacos) PARIF1P(p_atan,gatan)  
 PARIF1P(p_sinh,gsh) PARIF1P(p_cosh,gch) PARIF1P(p_tanh,gth)  
 PARIF1P(p_asinh,gash) PARIF1P(p_acosh,gach) PARIF1P(p_atanh,gath)  
 PARIF1P(p_exp,gexp) PARIF1P(p_log,glog)  
 PARIF1P(p_dilog,dilog) PARIF1P(p_erf,gerfc)  
 PARIF1P(p_eigen,eigen) PARIF1P(p_roots,roots)  
   
 PARIF2P(p_pow,gpui)  
   
 pointer evalparif(f,arg)  
 FUNC f;  
 NODE arg;  
 {  
         GEN a,v;  
         long ltop,lbot;  
         pointer r;  
         int ac,opt,intarg,ret;  
         char buf[BUFSIZ];  
         Q q;  
         GEN (*dmy)();  
   
         if ( !f->f.binf ) {  
                 sprintf(buf,"pari : %s undefined.",f->name);  
                 error(buf);  
                 /* NOTREACHED */  
                 return 0;  
         }  
         switch ( f->type ) {  
                 case 0: /* in/out : integer */  
                         ac = argc(arg);  
                         if ( ac > 2 ) {  
                                 fprintf(stderr,"argument mismatch in %s()\n",NAME(f));  
                                 error("");  
                                 /* NOTREACHED */  
                                 return 0;  
                         }  
                         intarg = !ac ? 0 : QTOS((Q)ARG0(arg));  
                         dmy = (GEN (*)())f->f.binf;  
                         ret = (int)(*dmy)(intarg);  
                         STOQ(ret,q);  
                         return (pointer)q;  
   
                 case 1:  
                         ac = argc(arg);  
                         if ( !ac || ( ac > 2 ) ) {  
                                 fprintf(stderr,"argument mismatch in %s()\n",NAME(f));  
                                 error("");  
                                 /* NOTREACHED */  
                                 return 0;  
                         }  
                         ltop = avma;  
                         ritopa((Obj)ARG0(arg),&a);  
                         dmy = (GEN (*)())f->f.binf;  
                         v = (*dmy)(a,MKPREC(arg,2,ARG1(arg)));  
                         lbot = avma;  
                         patori(v,(Obj *)&r); gerepile(ltop,lbot,0);  
                         return r;  
   
                 case 2:  
                         ac = argc(arg);  
                         if ( !ac || ( ac > 2 ) ) {  
                                 fprintf(stderr,"argument mismatch in %s()\n",NAME(f));  
                                 error("");  
                                 /* NOTREACHED */  
                                 return 0;  
                         }  
                         if ( ac == 1 )  
                                 opt = 0;  
                         else  
                                 opt = QTOS((Q)ARG1(arg));  
                         ltop = avma;  
                         ritopa((Obj)ARG0(arg),&a);  
                         dmy = (GEN (*)())f->f.binf;  
                         v = (*dmy)(a,opt);  
                         lbot = avma;  
                         patori(v,(Obj *)&r); gerepile(ltop,lbot,0);  
                         return r;  
   
                 default:  
                         error("evalparif : not implemented yet.");  
                         /* NOTREACHED */  
                         return 0;  
         }  
 }  
   
 struct pariftab {  struct pariftab {
         char *name;    char *name;
         GEN (*f)();    int dmy;
         int type;    int type;
 };  };
   
 /*  /*
  * type = 1 => argc = 1, second arg = precision   * type = 1 => argc = 1, second arg = precision
  * type = 2 => argc = 1, second arg = optional (long int)   * type = 2 => argc = 1, second arg = (long int)0
  *   *
  */   */
   /*
   {"abs",0,1},
   {"adj",0,1},
   */
   
 struct pariftab pariftab[] = {  struct pariftab pariftab[] = {
 {"allocatemem",(GEN(*)())allocatemoremem,0},  {"arg",0,1},
 {"abs",(GEN (*)())gabs,1},  {"bigomega",0,1},
 {"adj",adj,1},  {"binary",0,1},
 {"arg",garg,1},  {"ceil",0,1},
 {"bigomega",gbigomega,1},  {"centerlift",0,1},
 {"binary",binaire,1},  {"cf",0,1},
 {"ceil",gceil,1},  {"classno",0,1},
 {"centerlift",centerlift,1},  {"classno2",0,1},
 {"cf",gcf,1},  {"conj",0,1},
 {"classno",classno,1},  {"content",0,1},
 {"classno2",classno2,1},  {"denom",0,1},
 {"conj",gconj,1},  {"det",0,1},
 {"content",content,1},  {"det2",0,1},
 {"denom",denom,1},  {"dilog",0,1},
 {"det",det,1},  {"disc",0,1},
 {"det2",det2,1},  {"discf",0,1},
 {"dilog",dilog,1},  {"divisors",0,1},
 {"disc",discsr,1},  {"eigen",0,1},
 {"discf",discf,1},  {"eintg1",0,1},
 {"divisors",divisors,1},  {"erfc",0,1},
 {"eigen",eigen,1},  {"eta",0,1},
 {"eintg1",eint1,1},  {"floor",0,1},
 {"erfc",gerfc,1},  {"frac",0,1},
 {"eta",eta,1},  {"galois",0,1},
 {"floor",gfloor,1},  {"galoisconj",0,1},
 {"frac",gfrac,1},  {"gamh",0,1},
 {"galois",galois,1},  {"gamma",0,1},
 {"galoisconj",galoisconj,1},  {"hclassno",0,1},
 {"gamh",ggamd,1},  {"hermite",0,1},
 {"gamma",ggamma,1},  {"hess",0,1},
 {"hclassno",classno3,1},  {"imag",0,1},
 {"hermite",hnf,1},  {"image",0,1},
 {"hess",hess,1},  {"image2",0,1},
 {"imag",gimag,1},  {"indexrank",0,1},
 {"image",image,1},  {"indsort",0,1},
 {"image2",image2,1},  {"initalg",0,1},
 {"indexrank",indexrank,1},  {"isfund",0,1},
 {"indsort",indexsort,1},  {"ispsp",0,1},
 {"initalg",initalg,1},  {"isqrt",0,1},
 {"isfund",gisfundamental,1},  {"issqfree",0,1},
 {"isprime",gisprime,2},  {"issquare",0,1},
 {"ispsp",gispsp,1},  {"jacobi",0,1},
 {"isqrt",racine,1},  {"jell",0,1},
 {"issqfree",gissquarefree,1},  {"ker",0,1},
 {"issquare",gcarreparfait,1},  {"keri",0,1},
 {"jacobi",jacobi,1},  {"kerint",0,1},
 {"jell",jell,1},  {"kerintg1",0,1},
 {"ker",ker,1},  {"length",0,1},
 {"keri",keri,1},  {"lexsort",0,1},
 {"kerint",kerint,1},  {"lift",0,1},
 {"kerintg1",kerint1,1},  {"lindep",0,1},
 {"length",(GEN(*)())glength,1},  {"lll",0,1},
 {"lexsort",lexsort,1},  {"lllgen",0,1},
 {"lift",lift,1},  {"lllgram",0,1},
 {"lindep",lindep,1},  {"lllgramgen",0,1},
 {"lll",lll,1},  {"lllgramint",0,1},
 {"lllgen",lllgen,1},  {"lllgramkerim",0,1},
 {"lllgram",lllgram,1},  {"lllgramkerimgen",0,1},
 {"lllgramgen",lllgramgen,1},  {"lllint",0,1},
 {"lllgramint",lllgramint,1},  {"lllkerim",0,1},
 {"lllgramkerim",lllgramkerim,1},  {"lllkerimgen",0,1},
 {"lllgramkerimgen",lllgramkerimgen,1},  {"lngamma",0,1},
 {"lllint",lllint,1},  {"logagm",0,1},
 {"lllkerim",lllkerim,1},  {"mat",0,1},
 {"lllkerimgen",lllkerimgen,1},  {"matrixqz2",0,1},
 {"lngamma",glngamma,1},  {"matrixqz3",0,1},
 {"logagm",glogagm,1},  {"matsize",0,1},
 {"mat",gtomat,1},  {"modreverse",0,1},
 {"matrixqz2",matrixqz2,1},  {"mu",0,1},
 {"matrixqz3",matrixqz3,1},  {"nextprime",0,1},
 {"matsize",matsize,1},  {"norm",0,1},
 {"modreverse",polymodrecip,1},  {"norml2",0,1},
 {"mu",gmu,1},  {"numdiv",0,1},
 {"nextprime",nextprime,1},  {"numer",0,1},
 {"norm",gnorm,1},  {"omega",0,1},
 {"norml2",gnorml2,1},  {"order",0,1},
 {"numdiv",numbdiv,1},  {"ordred",0,1},
 {"numer",numer,1},  {"phi",0,1},
 {"omega",gomega,1},  {"pnqn",0,1},
 {"order",order,1},  {"polred",0,1},
 {"ordred",ordred,1},  {"polred2",0,1},
 {"phi",phi,1},  {"primroot",0,1},
 {"pnqn",pnqn,1},  {"psi",0,1},
 {"polred",polred,1},  {"quadgen",0,1},
 {"polred2",polred2,1},  {"quadpoly",0,1},
 {"primroot",gener,1},  {"real",0,1},
 {"psi",gpsi,1},  {"recip",0,1},
 {"quadgen",quadgen    ,1},  {"redreal",0,1},
 {"quadpoly",quadpoly    ,1},  {"regula",0,1},
 {"real",greal,1},  {"reorder",0,1},
 {"recip",polrecip       ,1},  {"reverse",0,1},
 {"redreal",redreal       ,1},  {"rhoreal",0,1},
 {"regula",regula  ,1},  {"roots",0,1},
 {"reorder",reorder  ,1},  {"round",0,1},
 {"reverse",recip  ,1},  {"sigma",0,1},
 {"rhoreal",rhoreal       ,1},  {"signat",0,1},
 {"roots",roots,1},  {"simplify",0,1},
 {"round",ground,1},  {"smalldiscf",0,1},
 {"sigma",sumdiv,1},  {"smallfact",0,1},
 {"signat",signat,1},  {"smallpolred",0,1},
 {"simplify",simplify,1},  {"smallpolred2",0,1},
 {"smalldiscf",smalldiscf,1},  {"smith",0,1},
 {"smallfact",smallfact,1},  {"smith2",0,1},
 {"smallpolred",smallpolred,1},  {"sort",0,1},
 {"smallpolred2",smallpolred2,1},  {"sqr",0,1},
 {"smith",smith,1},  {"sqred",0,1},
 {"smith2",smith2,1},  {"sqrt",0,1},
 {"sort",sort,1},  {"supplement",0,1},
 {"sqr",gsqr,1},  {"trace",0,1},
 {"sqred",sqred,1},  {"trans",0,1},
 {"sqrt",gsqrt,1},  {"trunc",0,1},
 {"supplement",suppl,1},  {"unit",0,1},
 {"trace",gtrace,1},  {"vec",0,1},
 {"trans",gtrans,1},  {"wf",0,1},
 {"trunc",gtrunc,1},  {"wf2",0,1},
 {"unit",fundunit,1},  {"zeta",0,1},
 {"vec",gtovec,1},  {"factor",0,1},
 {"wf",wf,1},  
 {"wf2",wf2,1},  {"allocatemem",0,0},
 {"zeta",gzeta,1},  
 {"factor",factor,1},  {"factpol",0,2},
 {"factorint",factorint,2},  {"isprime",0,2},
   {"factorint",0,2},
 {0,0,0},  {0,0,0},
 };  };
   
 void parif_init() {  void parif_init() {
         int i;    int i;
   
         for ( i = 0, parif = 0; pariftab[i].name; i++ )    for ( i = 0, parif = 0; pariftab[i].name; i++ )
                  appendparif(&parif,pariftab[i].name, (int (*)())pariftab[i].f,pariftab[i].type);       appendparif(&parif,pariftab[i].name, 0,pariftab[i].type);
 }  }
 #else /* PARI */  
   
 struct ftab pari_tab[] = {  
         {0,0,0},  
 };  
   
 void parif_init() {}  
   
 pointer evalparif(f,arg)  
 FUNC f;  
 NODE arg;  
 {  
         error("evalparif : PARI is not combined.");  
 }  
 #endif /*PARI */  
Legend:
Removed from v.1.15  
changed lines
  Added in v.1.39
FreeBSD-CVSweb <freebsd-cvsweb@FreeBSD.org>