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Diff for /OpenXM_contrib2/asir2000/engine/cplx.c between version 1.1 and 1.6

version 1.1, 1999/12/03 07:39:08 version 1.6, 2009/03/27 14:42:29
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 /* $OpenXM: OpenXM/src/asir99/engine/cplx.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/engine/cplx.c,v 1.5 2003/02/14 22:29:08 ohara Exp $
   */
 #include "ca.h"  #include "ca.h"
 #include "base.h"  #include "base.h"
 #if PARI  #if defined(PARI)
 #include "genpari.h"  #include "genpari.h"
 void patori(GEN,Obj *);  
 void patori_i(GEN,N *);  
 void ritopa(Obj,GEN *);  
 void ritopa_i(N,int,GEN *);  
 #endif  #endif
   
 void toreim(a,rp,ip)  void toreim(a,rp,ip)
Line 15  Num *rp,*ip;
Line 59  Num *rp,*ip;
 {  {
         if ( !a )          if ( !a )
                 *rp = *ip = 0;                  *rp = *ip = 0;
   #if defined(INTERVAL)
           else if ( NID(a) <= N_PRE_C ) {
   #else
         else if ( NID(a) <= N_B ) {          else if ( NID(a) <= N_B ) {
   #endif
                 *rp = a; *ip = 0;                  *rp = a; *ip = 0;
         } else {          } else {
                 *rp = ((C)a)->r; *ip = ((C)a)->i;                  *rp = ((C)a)->r; *ip = ((C)a)->i;
Line 45  Num *c;
Line 93  Num *c;
                 *c = b;                  *c = b;
         else if ( !b )          else if ( !b )
                 *c = a;                  *c = a;
   #if defined(INTERVAL)
           else if ( (NID(a) <= N_PRE_C) && (NID(b) <= N_PRE_C ) )
   #else
         else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) )          else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) )
   #endif
                 addnum(0,a,b,c);                  addnum(0,a,b,c);
         else {          else {
                 toreim(a,&ar,&ai); toreim(b,&br,&bi);                  toreim(a,&ar,&ai); toreim(b,&br,&bi);
Line 64  Num *c;
Line 116  Num *c;
                 chsgnnum(b,c);                  chsgnnum(b,c);
         else if ( !b )          else if ( !b )
                 *c = a;                  *c = a;
   #if defined(INTERVAL)
           else if ( (NID(a) <= N_PRE_C) && (NID(b) <= N_PRE_C ) )
   #else
         else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) )          else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) )
   #endif
                 subnum(0,a,b,c);                  subnum(0,a,b,c);
         else {          else {
                 toreim(a,&ar,&ai); toreim(b,&br,&bi);                  toreim(a,&ar,&ai); toreim(b,&br,&bi);
Line 81  Num *c;
Line 137  Num *c;
   
         if ( !a || !b )          if ( !a || !b )
                 *c = 0;                  *c = 0;
   #if defined(INTERVAL)
           else if ( (NID(a) <= N_PRE_C) && (NID(b) <= N_PRE_C ) )
   #else
         else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) )          else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) )
   #endif
                 mulnum(0,a,b,c);                  mulnum(0,a,b,c);
         else {          else {
                 toreim(a,&ar,&ai); toreim(b,&br,&bi);                  toreim(a,&ar,&ai); toreim(b,&br,&bi);
Line 101  Num *c;
Line 161  Num *c;
                 error("divcplx : division by 0");                  error("divcplx : division by 0");
         else if ( !a )          else if ( !a )
                 *c = 0;                  *c = 0;
   #if defined(INTERVAL)
           else if ( (NID(a) <= N_PRE_C) && (NID(b) <= N_PRE_C ) )
   #else
         else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) )          else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) )
   #endif
                 divnum(0,a,b,c);                  divnum(0,a,b,c);
         else {          else {
                 toreim(a,&ar,&ai); toreim(b,&br,&bi);                  toreim(a,&ar,&ai); toreim(b,&br,&bi);
Line 120  Num *c;
Line 184  Num *c;
 {  {
         int ei;          int ei;
         Num t;          Num t;
         extern long prec;  
   
         if ( !e )          if ( !e )
                 *c = (Num)ONE;                  *c = (Num)ONE;
         else if ( !a )          else if ( !a )
                 *c = 0;                  *c = 0;
         else if ( !INT(e) ) {          else if ( !INT(e) ) {
 #if PARI  #if defined(PARI)
                 GEN pa,pe,z;                  gpui_ri((Obj)a,(Obj)c,(Obj *)c);
                 int ltop,lbot;  
   
                 ltop = avma; ritopa((Obj)a,&pa); ritopa((Obj)e,&pe); lbot = avma;  
                 z = gerepile(ltop,lbot,gpui(pa,pe,prec));  
                 patori(z,(Obj *)c); cgiv(z);  
 #else  #else
                 error("pwrcplx : can't calculate a fractional power");                  error("pwrcplx : can't calculate a fractional power");
 #endif  #endif
Line 173  Num a,*c;
Line 231  Num a,*c;
   
         if ( !a )          if ( !a )
                 *c = 0;                  *c = 0;
   #if defined(INTERVAL)
           else if ( NID(a) <= N_PRE_C )
   #else
         else if ( NID(a) <= N_B )          else if ( NID(a) <= N_B )
   #endif
                 chsgnnum(a,c);                  chsgnnum(a,c);
         else {          else {
                 chsgnnum(((C)a)->r,&r); chsgnnum(((C)a)->i,&i);                  chsgnnum(((C)a)->r,&r); chsgnnum(((C)a)->i,&i);
Line 188  Num a,b;
Line 250  Num a,b;
         int s;          int s;
   
         if ( !a ) {          if ( !a ) {
   #if defined(INTERVAL)
                   if ( !b || (NID(b)<=N_PRE_C) )
   #else
                 if ( !b || (NID(b)<=N_B) )                  if ( !b || (NID(b)<=N_B) )
   #endif
                         return compnum(0,a,b);                          return compnum(0,a,b);
                 else                  else
                         return -1;                          return -1;
         } else if ( !b ) {          } else if ( !b ) {
   #if defined(INTERVAL)
                   if ( !a || (NID(a)<=N_PRE_C) )
   #else
                 if ( !a || (NID(a)<=N_B) )                  if ( !a || (NID(a)<=N_B) )
   #endif
                         return compnum(0,a,b);                          return compnum(0,a,b);
                 else                  else
                         return 1;                          return 1;
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