/*
* 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 1.4 2000/12/22 10:03:28 saito Exp $
*/
#include "ca.h"
#include "base.h"
#if PARI
#include "genpari.h"
void patori(GEN,Obj *);
void patori_i(GEN,N *);
void ritopa(Obj,GEN *);
void ritopa_i(N,int,GEN *);
#endif
void toreim(a,rp,ip)
Num a;
Num *rp,*ip;
{
if ( !a )
*rp = *ip = 0;
#if defined(INTERVAL)
else if ( NID(a) <= N_PRE_C ) {
#else
else if ( NID(a) <= N_B ) {
#endif
*rp = a; *ip = 0;
} else {
*rp = ((C)a)->r; *ip = ((C)a)->i;
}
}
void reimtocplx(r,i,cp)
Num r,i;
Num *cp;
{
C c;
if ( !i )
*cp = r;
else {
NEWC(c); c->r = r; c->i = i; *cp = (Num)c;
}
}
void addcplx(a,b,c)
Num a,b;
Num *c;
{
Num ar,ai,br,bi,cr,ci;
if ( !a )
*c = b;
else if ( !b )
*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 ) )
#endif
addnum(0,a,b,c);
else {
toreim(a,&ar,&ai); toreim(b,&br,&bi);
addnum(0,ar,br,&cr); addnum(0,ai,bi,&ci);
reimtocplx(cr,ci,c);
}
}
void subcplx(a,b,c)
Num a,b;
Num *c;
{
Num ar,ai,br,bi,cr,ci;
if ( !a )
chsgnnum(b,c);
else if ( !b )
*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 ) )
#endif
subnum(0,a,b,c);
else {
toreim(a,&ar,&ai); toreim(b,&br,&bi);
subnum(0,ar,br,&cr); subnum(0,ai,bi,&ci);
reimtocplx(cr,ci,c);
}
}
void mulcplx(a,b,c)
Num a,b;
Num *c;
{
Num ar,ai,br,bi,cr,ci,t,s;
if ( !a || !b )
*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 ) )
#endif
mulnum(0,a,b,c);
else {
toreim(a,&ar,&ai); toreim(b,&br,&bi);
mulnum(0,ar,br,&t); mulnum(0,ai,bi,&s); subnum(0,t,s,&cr);
mulnum(0,ar,bi,&t); mulnum(0,ai,br,&s); addnum(0,t,s,&ci);
reimtocplx(cr,ci,c);
}
}
void divcplx(a,b,c)
Num a,b;
Num *c;
{
Num ar,ai,br,bi,cr,ci,t,s,u,w;
if ( !b )
error("divcplx : division by 0");
else if ( !a )
*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 ) )
#endif
divnum(0,a,b,c);
else {
toreim(a,&ar,&ai); toreim(b,&br,&bi);
mulnum(0,br,br,&t); mulnum(0,bi,bi,&s); addnum(0,t,s,&u);
mulnum(0,ar,br,&t); mulnum(0,ai,bi,&s);
addnum(0,t,s,&w); divnum(0,w,u,&cr);
mulnum(0,ar,bi,&t); mulnum(0,ai,br,&s);
subnum(0,s,t,&w); divnum(0,w,u,&ci);
reimtocplx(cr,ci,c);
}
}
void pwrcplx(a,e,c)
Num a,e;
Num *c;
{
int ei;
Num t;
extern long prec;
if ( !e )
*c = (Num)ONE;
else if ( !a )
*c = 0;
else if ( !INT(e) ) {
#if PARI
GEN pa,pe,z;
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
error("pwrcplx : can't calculate a fractional power");
#endif
} else {
ei = SGN((Q)e)*QTOS((Q)e);
pwrcplx0(a,ei,&t);
if ( SGN((Q)e) < 0 )
divnum(0,(Num)ONE,t,c);
else
*c = t;
}
}
void pwrcplx0(a,e,c)
Num a;
int e;
Num *c;
{
Num t,s;
if ( e == 1 )
*c = a;
else {
pwrcplx0(a,e/2,&t);
if ( !(e%2) )
mulnum(0,t,t,c);
else {
mulnum(0,t,t,&s); mulnum(0,s,a,c);
}
}
}
void chsgncplx(a,c)
Num a,*c;
{
Num r,i;
if ( !a )
*c = 0;
#if defined(INTERVAL)
else if ( NID(a) <= N_PRE_C )
#else
else if ( NID(a) <= N_B )
#endif
chsgnnum(a,c);
else {
chsgnnum(((C)a)->r,&r); chsgnnum(((C)a)->i,&i);
reimtocplx(r,i,c);
}
}
int cmpcplx(a,b)
Num a,b;
{
Num ar,ai,br,bi;
int s;
if ( !a ) {
#if defined(INTERVAL)
if ( !b || (NID(b)<=N_PRE_C) )
#else
if ( !b || (NID(b)<=N_B) )
#endif
return compnum(0,a,b);
else
return -1;
} else if ( !b ) {
#if defined(INTERVAL)
if ( !a || (NID(a)<=N_PRE_C) )
#else
if ( !a || (NID(a)<=N_B) )
#endif
return compnum(0,a,b);
else
return 1;
} else {
toreim(a,&ar,&ai); toreim(b,&br,&bi);
s = compnum(0,ar,br);
if ( s )
return s;
else
return compnum(0,ai,bi);
}
}