version 1.7, 2015/08/20 08:42:07 |
version 1.8, 2018/03/29 01:32:51 |
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* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* |
* |
* $OpenXM: OpenXM_contrib2/asir2000/engine/cplx.c,v 1.6 2009/03/27 14:42:29 ohara Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/engine/cplx.c,v 1.7 2015/08/20 08:42:07 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "base.h" |
#include "base.h" |
Line 54 void toreim(a,rp,ip) |
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Line 54 void toreim(a,rp,ip) |
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Num a; |
Num a; |
Num *rp,*ip; |
Num *rp,*ip; |
{ |
{ |
if ( !a ) |
if ( !a ) |
*rp = *ip = 0; |
*rp = *ip = 0; |
#if defined(INTERVAL) |
#if defined(INTERVAL) |
else if ( NID(a) <= N_PRE_C ) { |
else if ( NID(a) <= N_PRE_C ) { |
#else |
#else |
else if ( NID(a) <= N_B ) { |
else if ( NID(a) <= N_B ) { |
#endif |
#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; |
} |
} |
} |
} |
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void reimtocplx(r,i,cp) |
void reimtocplx(r,i,cp) |
Num r,i; |
Num r,i; |
Num *cp; |
Num *cp; |
{ |
{ |
C c; |
C c; |
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if ( !i ) |
if ( !i ) |
*cp = r; |
*cp = r; |
else { |
else { |
NEWC(c); c->r = r; c->i = i; *cp = (Num)c; |
NEWC(c); c->r = r; c->i = i; *cp = (Num)c; |
} |
} |
} |
} |
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void addcplx(a,b,c) |
void addcplx(a,b,c) |
Num a,b; |
Num a,b; |
Num *c; |
Num *c; |
{ |
{ |
Num ar,ai,br,bi,cr,ci; |
Num ar,ai,br,bi,cr,ci; |
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if ( !a ) |
if ( !a ) |
*c = b; |
*c = b; |
else if ( !b ) |
else if ( !b ) |
*c = a; |
*c = a; |
#if defined(INTERVAL) |
#if defined(INTERVAL) |
else if ( (NID(a) <= N_PRE_C) && (NID(b) <= N_PRE_C ) ) |
else if ( (NID(a) <= N_PRE_C) && (NID(b) <= N_PRE_C ) ) |
#else |
#else |
else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) ) |
else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) ) |
#endif |
#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); |
addnum(0,ar,br,&cr); addnum(0,ai,bi,&ci); |
addnum(0,ar,br,&cr); addnum(0,ai,bi,&ci); |
reimtocplx(cr,ci,c); |
reimtocplx(cr,ci,c); |
} |
} |
} |
} |
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void subcplx(a,b,c) |
void subcplx(a,b,c) |
Num a,b; |
Num a,b; |
Num *c; |
Num *c; |
{ |
{ |
Num ar,ai,br,bi,cr,ci; |
Num ar,ai,br,bi,cr,ci; |
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if ( !a ) |
if ( !a ) |
chsgnnum(b,c); |
chsgnnum(b,c); |
else if ( !b ) |
else if ( !b ) |
*c = a; |
*c = a; |
#if defined(INTERVAL) |
#if defined(INTERVAL) |
else if ( (NID(a) <= N_PRE_C) && (NID(b) <= N_PRE_C ) ) |
else if ( (NID(a) <= N_PRE_C) && (NID(b) <= N_PRE_C ) ) |
#else |
#else |
else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) ) |
else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) ) |
#endif |
#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); |
subnum(0,ar,br,&cr); subnum(0,ai,bi,&ci); |
subnum(0,ar,br,&cr); subnum(0,ai,bi,&ci); |
reimtocplx(cr,ci,c); |
reimtocplx(cr,ci,c); |
} |
} |
} |
} |
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void mulcplx(a,b,c) |
void mulcplx(a,b,c) |
Num a,b; |
Num a,b; |
Num *c; |
Num *c; |
{ |
{ |
Num ar,ai,br,bi,cr,ci,t,s; |
Num ar,ai,br,bi,cr,ci,t,s; |
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if ( !a || !b ) |
if ( !a || !b ) |
*c = 0; |
*c = 0; |
#if defined(INTERVAL) |
#if defined(INTERVAL) |
else if ( (NID(a) <= N_PRE_C) && (NID(b) <= N_PRE_C ) ) |
else if ( (NID(a) <= N_PRE_C) && (NID(b) <= N_PRE_C ) ) |
#else |
#else |
else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) ) |
else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) ) |
#endif |
#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); |
mulnum(0,ar,br,&t); mulnum(0,ai,bi,&s); subnum(0,t,s,&cr); |
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); |
mulnum(0,ar,bi,&t); mulnum(0,ai,br,&s); addnum(0,t,s,&ci); |
reimtocplx(cr,ci,c); |
reimtocplx(cr,ci,c); |
} |
} |
} |
} |
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void divcplx(a,b,c) |
void divcplx(a,b,c) |
Num a,b; |
Num a,b; |
Num *c; |
Num *c; |
{ |
{ |
Num ar,ai,br,bi,cr,ci,t,s,u,w; |
Num ar,ai,br,bi,cr,ci,t,s,u,w; |
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if ( !b ) |
if ( !b ) |
error("divcplx : division by 0"); |
error("divcplx : division by 0"); |
else if ( !a ) |
else if ( !a ) |
*c = 0; |
*c = 0; |
#if defined(INTERVAL) |
#if defined(INTERVAL) |
else if ( (NID(a) <= N_PRE_C) && (NID(b) <= N_PRE_C ) ) |
else if ( (NID(a) <= N_PRE_C) && (NID(b) <= N_PRE_C ) ) |
#else |
#else |
else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) ) |
else if ( (NID(a) <= N_B) && (NID(b) <= N_B ) ) |
#endif |
#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); |
mulnum(0,br,br,&t); mulnum(0,bi,bi,&s); addnum(0,t,s,&u); |
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); |
mulnum(0,ar,br,&t); mulnum(0,ai,bi,&s); |
addnum(0,t,s,&w); divnum(0,w,u,&cr); |
addnum(0,t,s,&w); divnum(0,w,u,&cr); |
mulnum(0,ar,bi,&t); mulnum(0,ai,br,&s); |
mulnum(0,ar,bi,&t); mulnum(0,ai,br,&s); |
subnum(0,s,t,&w); divnum(0,w,u,&ci); |
subnum(0,s,t,&w); divnum(0,w,u,&ci); |
reimtocplx(cr,ci,c); |
reimtocplx(cr,ci,c); |
} |
} |
} |
} |
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void pwrcplx(a,e,c) |
void pwrcplx(a,e,c) |
Num a,e; |
Num a,e; |
Num *c; |
Num *c; |
{ |
{ |
int ei; |
int ei; |
Num t; |
Num t; |
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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) ) |
error("pwrcplx : not implemented (use eval())."); |
error("pwrcplx : not implemented (use eval())."); |
else { |
else { |
ei = SGN((Q)e)*QTOS((Q)e); |
ei = SGN((Q)e)*QTOS((Q)e); |
pwrcplx0(a,ei,&t); |
pwrcplx0(a,ei,&t); |
if ( SGN((Q)e) < 0 ) |
if ( SGN((Q)e) < 0 ) |
divnum(0,(Num)ONE,t,c); |
divnum(0,(Num)ONE,t,c); |
else |
else |
*c = t; |
*c = t; |
} |
} |
} |
} |
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void pwrcplx0(a,e,c) |
void pwrcplx0(a,e,c) |
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int e; |
int e; |
Num *c; |
Num *c; |
{ |
{ |
Num t,s; |
Num t,s; |
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if ( e == 1 ) |
if ( e == 1 ) |
*c = a; |
*c = a; |
else { |
else { |
pwrcplx0(a,e/2,&t); |
pwrcplx0(a,e/2,&t); |
if ( !(e%2) ) |
if ( !(e%2) ) |
mulnum(0,t,t,c); |
mulnum(0,t,t,c); |
else { |
else { |
mulnum(0,t,t,&s); mulnum(0,s,a,c); |
mulnum(0,t,t,&s); mulnum(0,s,a,c); |
} |
} |
} |
} |
} |
} |
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void chsgncplx(a,c) |
void chsgncplx(a,c) |
Num a,*c; |
Num a,*c; |
{ |
{ |
Num r,i; |
Num r,i; |
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if ( !a ) |
if ( !a ) |
*c = 0; |
*c = 0; |
#if defined(INTERVAL) |
#if defined(INTERVAL) |
else if ( NID(a) <= N_PRE_C ) |
else if ( NID(a) <= N_PRE_C ) |
#else |
#else |
else if ( NID(a) <= N_B ) |
else if ( NID(a) <= N_B ) |
#endif |
#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); |
reimtocplx(r,i,c); |
reimtocplx(r,i,c); |
} |
} |
} |
} |
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int cmpcplx(a,b) |
int cmpcplx(a,b) |
Num a,b; |
Num a,b; |
{ |
{ |
Num ar,ai,br,bi; |
Num ar,ai,br,bi; |
int s; |
int s; |
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if ( !a ) { |
if ( !a ) { |
#if defined(INTERVAL) |
#if defined(INTERVAL) |
if ( !b || (NID(b)<=N_PRE_C) ) |
if ( !b || (NID(b)<=N_PRE_C) ) |
#else |
#else |
if ( !b || (NID(b)<=N_B) ) |
if ( !b || (NID(b)<=N_B) ) |
#endif |
#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 defined(INTERVAL) |
if ( !a || (NID(a)<=N_PRE_C) ) |
if ( !a || (NID(a)<=N_PRE_C) ) |
#else |
#else |
if ( !a || (NID(a)<=N_B) ) |
if ( !a || (NID(a)<=N_B) ) |
#endif |
#endif |
return compnum(0,a,b); |
return compnum(0,a,b); |
else |
else |
return 1; |
return 1; |
} else { |
} else { |
toreim(a,&ar,&ai); toreim(b,&br,&bi); |
toreim(a,&ar,&ai); toreim(b,&br,&bi); |
s = compnum(0,ar,br); |
s = compnum(0,ar,br); |
if ( s ) |
if ( s ) |
return s; |
return s; |
else |
else |
return compnum(0,ai,bi); |
return compnum(0,ai,bi); |
} |
} |
} |
} |