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Diff for /OpenXM_contrib2/asir2000/builtin/rat.c between version 1.1 and 1.6

version 1.1, 1999/12/03 07:39:07 version 1.6, 2018/03/29 01:32:50
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 /* $OpenXM: OpenXM/src/asir99/builtin/rat.c,v 1.1.1.1 1999/11/10 08:12:26 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/rat.c,v 1.5 2013/02/15 07:05:49 noro Exp $
   */
 #include "ca.h"  #include "ca.h"
 #include "parse.h"  #include "parse.h"
   
 void Pnm(), Pdn(), Pderiv();  void Pnm(), Pdn(), Pderiv(), Pederiv(), Prderiv();
   
 struct ftab rat_tab[] = {  struct ftab rat_tab[] = {
         {"nm",Pnm,1},    {"nm",Pnm,1},
         {"dn",Pdn,1},    {"dn",Pdn,1},
         {"diff",Pderiv,-99999999},    {"diff",Pderiv,-99999999},
         {0,0,0},    {"ediff",Pederiv,-99999999},
     {"rdiff",Prderiv,-99999999},
     {0,0,0},
 };  };
   
 void Pnm(arg,rp)  void Pnm(arg,rp)
 NODE arg;  NODE arg;
 Obj *rp;  Obj *rp;
 {  {
         Obj t;    Obj t;
         Q q;    Q q;
   
         asir_assert(ARG0(arg),O_R,"nm");    asir_assert(ARG0(arg),O_R,"nm");
         if ( !(t = (Obj)ARG0(arg)) )    if ( !(t = (Obj)ARG0(arg)) )
                 *rp = 0;      *rp = 0;
         else    else
                 switch ( OID(t) ) {      switch ( OID(t) ) {
                         case O_N:        case O_N:
                                 switch ( NID(t) ) {          switch ( NID(t) ) {
                                         case N_Q:            case N_Q:
                                                 NTOQ(NM((Q)t),SGN((Q)t),q); *rp = (Obj)q; break;              NTOQ(NM((Q)t),SGN((Q)t),q); *rp = (Obj)q; break;
                                         default:            default:
                                                 *rp = t; break;              *rp = t; break;
                                 }          }
                                 break;          break;
                         case O_P:        case O_P:
                                 *rp = t; break;          *rp = t; break;
                         case O_R:        case O_R:
                                 *rp = (Obj)NM((R)t); break;          *rp = (Obj)NM((R)t); break;
                         default:        default:
                                 *rp = 0;          *rp = 0;
                 }      }
 }  }
   
 void Pdn(arg,rp)  void Pdn(arg,rp)
 NODE arg;  NODE arg;
 Obj *rp;  Obj *rp;
 {  {
         Obj t;    Obj t;
         Q q;    Q q;
   
         asir_assert(ARG0(arg),O_R,"dn");    asir_assert(ARG0(arg),O_R,"dn");
         if ( !(t = (Obj)ARG0(arg)) )    if ( !(t = (Obj)ARG0(arg)) )
                 *rp = (Obj)ONE;      *rp = (Obj)ONE;
         else    else
                 switch ( OID(t) ) {      switch ( OID(t) ) {
                         case O_N:        case O_N:
                                 switch ( NID(t) ) {          switch ( NID(t) ) {
                                         case N_Q:            case N_Q:
                                                 if ( DN((Q)t) )              if ( DN((Q)t) )
                                                         NTOQ(DN((Q)t),1,q);                NTOQ(DN((Q)t),1,q);
                                                 else              else
                                                         q = ONE;                q = ONE;
                                                 *rp = (Obj)q; break;              *rp = (Obj)q; break;
                                         default:            default:
                                                 *rp = (Obj)ONE; break;              *rp = (Obj)ONE; break;
                                 }          }
                                 break;          break;
                         case O_P:        case O_P:
                                 *rp = (Obj)ONE; break;          *rp = (Obj)ONE; break;
                         case O_R:        case O_R:
                                 *rp = (Obj)DN((R)t); break;          *rp = (Obj)DN((R)t); break;
                         default:        default:
                                 *rp = 0;          *rp = 0;
                 }      }
 }  }
   
 void Pderiv(arg,rp)  void Pderiv(arg,rp)
 NODE arg;  NODE arg;
 Obj *rp;  Obj *rp;
 {  {
         Obj a,t;    Obj a,t;
         LIST l;    LIST l;
         P v;    P v;
         NODE n;    NODE n;
   
         if ( !arg ) {    if ( !arg ) {
                 *rp = 0; return;      *rp = 0; return;
         }    }
         asir_assert(ARG0(arg),O_R,"diff");    asir_assert(ARG0(arg),O_R,"diff");
         reductr(CO,(Obj)ARG0(arg),&a);    reductr(CO,(Obj)ARG0(arg),&a);
         n = NEXT(arg);    n = NEXT(arg);
         if ( n && (l = (LIST)ARG0(n)) && OID(l) == O_LIST )    if ( n && (l = (LIST)ARG0(n)) && OID(l) == O_LIST )
                 n = BDY(l);      n = BDY(l);
         for ( ; n; n = NEXT(n) ) {    for ( ; n; n = NEXT(n) ) {
                 if ( !(v = (P)BDY(n)) || OID(v) != O_P )      if ( !(v = (P)BDY(n)) || OID(v) != O_P )
                         error("diff : invalid argument");        error("diff : invalid argument");
                 derivr(CO,a,VR(v),&t); a = t;      derivr(CO,a,VR(v),&t); a = t;
         }    }
         *rp = a;    *rp = a;
   }
   
   /* simple derivation with reduction */
   void Prderiv(arg,rp)
   NODE arg;
   Obj *rp;
   {
     Obj a,t;
     LIST l;
     P v;
     NODE n;
   
     if ( !arg ) {
       *rp = 0; return;
     }
     asir_assert(ARG0(arg),O_R,"rdiff");
     a = (Obj)ARG0(arg);
     n = NEXT(arg);
     if ( n && (l = (LIST)ARG0(n)) && OID(l) == O_LIST )
       n = BDY(l);
     for ( ; n; n = NEXT(n) ) {
       if ( !(v = (P)BDY(n)) || OID(v) != O_P )
         error("rdiff : invalid argument");
       simple_derivr(CO,a,VR(v),&t); a = t;
     }
     *rp = a;
   }
   
   /* Euler derivation */
   void Pederiv(arg,rp)
   NODE arg;
   Obj *rp;
   {
     Obj a,t;
     LIST l;
     P v;
     NODE n;
   
     if ( !arg ) {
       *rp = 0; return;
     }
     asir_assert(ARG0(arg),O_P,"ediff");
     reductr(CO,(Obj)ARG0(arg),&a);
     n = NEXT(arg);
     if ( n && (l = (LIST)ARG0(n)) && OID(l) == O_LIST )
       n = BDY(l);
     for ( ; n; n = NEXT(n) ) {
       if ( !(v = (P)BDY(n)) || OID(v) != O_P )
         error("diff : invalid argument");
       ediffp(CO,a,VR(v),&t); a = t;
     }
     *rp = a;
 }  }

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