File: [local] / OpenXM_contrib2 / asir2000 / engine / cplx.c (download)
Revision 1.1.1.1 (vendor branch), Fri Dec 3 07:39:08 1999 UTC (24 years, 10 months ago) by noro
Branch: NORO
CVS Tags: RELEASE_20000124, RELEASE_1_1_2, ASIR2000 Changes since 1.1: +0 -0
lines
Imported asir2000 as OpenXM_contrib2/asir2000.
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/* $OpenXM: OpenXM_contrib2/asir2000/engine/cplx.c,v 1.1.1.1 1999/12/03 07:39:08 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);
}
}