version 1.4, 2002/07/26 00:33:02 |
version 1.5, 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/RU.c,v 1.3 2000/08/22 05:04:05 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/engine/RU.c,v 1.4 2002/07/26 00:33:02 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
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int qcoefr(r) |
int qcoefr(r) |
Obj r; |
Obj r; |
{ |
{ |
if ( !r ) |
if ( !r ) |
return 1; |
return 1; |
else |
else |
switch ( OID(r) ) { |
switch ( OID(r) ) { |
case O_N: |
case O_N: |
return RATN(r)?1:0; break; |
return RATN(r)?1:0; break; |
case O_P: |
case O_P: |
return qcoefp(r); break; |
return qcoefp(r); break; |
default: |
default: |
return qcoefp((Obj)NM((R)r))&&qcoefp((Obj)DN((R)r)); break; |
return qcoefp((Obj)NM((R)r))&&qcoefp((Obj)DN((R)r)); break; |
} |
} |
} |
} |
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int qcoefp(p) |
int qcoefp(p) |
Obj p; |
Obj p; |
{ |
{ |
DCP dc; |
DCP dc; |
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if ( !p ) |
if ( !p ) |
return 1; |
return 1; |
else |
else |
switch ( OID(p) ) { |
switch ( OID(p) ) { |
case O_N: |
case O_N: |
return RATN(p)?1:0; break; |
return RATN(p)?1:0; break; |
default: |
default: |
for ( dc = DC((P)p); dc; dc = NEXT(dc) ) |
for ( dc = DC((P)p); dc; dc = NEXT(dc) ) |
if ( !qcoefp((Obj)COEF(dc)) ) |
if ( !qcoefp((Obj)COEF(dc)) ) |
return 0; |
return 0; |
return 1; break; |
return 1; break; |
} |
} |
} |
} |
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void reductr(vl,p,r) |
void reductr(vl,p,r) |
VL vl; |
VL vl; |
Obj p,*r; |
Obj p,*r; |
{ |
{ |
P t,s,u,cnm,cdn,pnm,pdn; |
P t,s,u,cnm,cdn,pnm,pdn; |
R a; |
R a; |
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if ( !p ) |
if ( !p ) |
*r = 0; |
*r = 0; |
else if ( OID(p) <= O_P ) |
else if ( OID(p) <= O_P ) |
*r = p; |
*r = p; |
else if ( ((R)p)->reduced ) |
else if ( ((R)p)->reduced ) |
*r = p; |
*r = p; |
else if ( NUM(DN((R)p)) ) |
else if ( NUM(DN((R)p)) ) |
divsp(vl,NM((R)p),DN((R)p),(P *)r); |
divsp(vl,NM((R)p),DN((R)p),(P *)r); |
else if ( qcoefp((Obj)NM((R)p)) && qcoefp((Obj)DN((R)p)) ) { |
else if ( qcoefp((Obj)NM((R)p)) && qcoefp((Obj)DN((R)p)) ) { |
ptozp(NM((R)p),1,(Q *)&cnm,&pnm); ptozp(DN((R)p),1,(Q *)&cdn,&pdn); |
ptozp(NM((R)p),1,(Q *)&cnm,&pnm); ptozp(DN((R)p),1,(Q *)&cdn,&pdn); |
ezgcdpz(vl,pnm,pdn,&t); |
ezgcdpz(vl,pnm,pdn,&t); |
divsp(vl,NM((R)p),t,&u); divsp(vl,DN((R)p),t,&s); |
divsp(vl,NM((R)p),t,&u); divsp(vl,DN((R)p),t,&s); |
if ( NUM(s) ) |
if ( NUM(s) ) |
divsp(vl,u,s,(P *)r); |
divsp(vl,u,s,(P *)r); |
else { |
else { |
divsp(vl,u,cdn,&pnm); divsp(vl,s,cdn,&pdn); |
divsp(vl,u,cdn,&pnm); divsp(vl,s,cdn,&pdn); |
if ( headsgn(pdn) < 0 ) { |
if ( headsgn(pdn) < 0 ) { |
chsgnp(pnm,&t); pnm = t; |
chsgnp(pnm,&t); pnm = t; |
chsgnp(pdn,&t); pdn = t; |
chsgnp(pdn,&t); pdn = t; |
} |
} |
MKRAT(pnm,pdn,1,a); *r = (Obj)a; |
MKRAT(pnm,pdn,1,a); *r = (Obj)a; |
} |
} |
} else { |
} else { |
MKRAT(NM((R)p),DN((R)p),1,a); *r = (Obj)a; |
MKRAT(NM((R)p),DN((R)p),1,a); *r = (Obj)a; |
} |
} |
} |
} |
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void pderivr(vl,a,v,b) |
void pderivr(vl,a,v,b) |
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V v; |
V v; |
Obj a,*b; |
Obj a,*b; |
{ |
{ |
P t,s,u; |
P t,s,u; |
R r; |
R r; |
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if ( !a ) |
if ( !a ) |
*b = 0; |
*b = 0; |
else if ( OID(a) <= O_P ) |
else if ( OID(a) <= O_P ) |
diffp(vl,(P)a,v,(P *)b); |
diffp(vl,(P)a,v,(P *)b); |
else { |
else { |
diffp(vl,NM((R)a),v,&t); mulp(vl,t,DN((R)a),&s); |
diffp(vl,NM((R)a),v,&t); mulp(vl,t,DN((R)a),&s); |
diffp(vl,DN((R)a),v,&t); mulp(vl,t,NM((R)a),&u); |
diffp(vl,DN((R)a),v,&t); mulp(vl,t,NM((R)a),&u); |
subp(vl,s,u,&t); |
subp(vl,s,u,&t); |
if ( t ) { |
if ( t ) { |
mulp(vl,DN((R)a),DN((R)a),&u); MKRAT(t,u,0,r); *b = (Obj)r; |
mulp(vl,DN((R)a),DN((R)a),&u); MKRAT(t,u,0,r); *b = (Obj)r; |
} else |
} else |
*b = 0; |
*b = 0; |
} |
} |
} |
} |
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void clctvr(vl,p,nvl) |
void clctvr(vl,p,nvl) |
VL vl,*nvl; |
VL vl,*nvl; |
Obj p; |
Obj p; |
{ |
{ |
VL vl1,vl2; |
VL vl1,vl2; |
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if ( !p ) |
if ( !p ) |
*nvl = 0; |
*nvl = 0; |
else if ( OID(p) <= O_P ) |
else if ( OID(p) <= O_P ) |
clctv(vl,(P)p,nvl); |
clctv(vl,(P)p,nvl); |
else { |
else { |
clctv(vl,NM((R)p),&vl1); clctv(vl,DN((R)p),&vl2); mergev(vl,vl1,vl2,nvl); |
clctv(vl,NM((R)p),&vl1); clctv(vl,DN((R)p),&vl2); mergev(vl,vl1,vl2,nvl); |
} |
} |
} |
} |