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Added copyright notice and license agreement. It is mandatory to distribute
Risa/Asir source codes freely.

/*
 * 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@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 1.2 2000/08/21 08:31:27 noro 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;
	else if ( NID(a) <= N_B ) {
		*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;
	else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) )
		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;
	else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) )
		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;
	else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) )
		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;
	else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) )
		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;
	else if ( NID(a) <= N_B )
		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 ( !b || (NID(b)<=N_B) )
			return compnum(0,a,b);
		else
			return -1;
	} else if ( !b ) {
		if ( !a || (NID(a)<=N_B) )
			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);
	}
}