version 1.13, 2008/09/01 07:53:59 |
version 1.24, 2018/03/28 05:27:22 |
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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/builtin/pf.c,v 1.12 2005/10/05 07:38:08 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/pf.c,v 1.23 2018/03/27 06:29:19 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "math.h" |
#include "math.h" |
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#include <alloca.h> |
#include <alloca.h> |
#endif |
#endif |
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double const_pi(),const_e(); |
double const_pi(),const_e(), double_factorial(); |
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void make_ihyp(void); |
void make_ihyp(void); |
void make_hyp(void); |
void make_hyp(void); |
Line 62 void make_itri(void); |
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Line 62 void make_itri(void); |
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void make_tri(void); |
void make_tri(void); |
void make_exp(void); |
void make_exp(void); |
void simplify_pow(PFINS,Obj *); |
void simplify_pow(PFINS,Obj *); |
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FNODE partial_eval(FNODE f); |
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void Pfunctor(),Pargs(),Pfunargs(),Pvtype(),Pcall(),Pdeval(),Pfunargs_ext(); |
void Pfunctor(),Pargs(),Pfunargs(),Pvtype(),Pcall(),Pdeval(),Pfunargs_ext(); |
void Pregister_handler(); |
void Pregister_handler(); |
Line 89 struct ftab puref_tab[] = { |
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Line 90 struct ftab puref_tab[] = { |
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{0,0,0}, |
{0,0,0}, |
}; |
}; |
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#if defined(PARI) |
int mp_pi(),mp_e(); |
int p_pi(),p_e(); |
int mp_exp(), mp_log(), mp_pow(); |
int p_log(),p_exp(),p_pow(); |
int mp_sin(),mp_cos(),mp_tan(),mp_asin(),mp_acos(),mp_atan(); |
int p_sin(),p_cos(),p_tan(),p_asin(),p_acos(),p_atan(); |
int mp_sinh(),mp_cosh(),mp_tanh(),mp_asinh(),mp_acosh(),mp_atanh(); |
int p_sinh(),p_cosh(),p_tanh(),p_asinh(),p_acosh(),p_atanh(); |
int mp_factorial(),mp_abs(); |
#else |
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int p_pi,p_e; |
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int p_log,p_exp,p_pow; |
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int p_sin,p_cos,p_tan,p_asin,p_acos,p_atan; |
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int p_sinh,p_cosh,p_tanh,p_asinh,p_acosh,p_atanh; |
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#endif |
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static V *uarg,*darg; |
static V *uarg,*darg; |
static P x,y; |
static P x,y; |
Line 109 static PF sindef,cosdef,tandef; |
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Line 104 static PF sindef,cosdef,tandef; |
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static PF asindef,acosdef,atandef; |
static PF asindef,acosdef,atandef; |
static PF sinhdef,coshdef,tanhdef; |
static PF sinhdef,coshdef,tanhdef; |
static PF asinhdef,acoshdef,atanhdef; |
static PF asinhdef,acoshdef,atanhdef; |
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static PF factorialdef,absdef; |
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#define OALLOC(p,n) ((p)=(Obj *)CALLOC((n),sizeof(Obj))) |
#define OALLOC(p,n) ((p)=(Obj *)CALLOC((n),sizeof(Obj))) |
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double const_pi() { return 3.14159265358979323846264338327950288; } |
double const_pi() { return 3.14159265358979323846264338327950288; } |
double const_e() { return 2.718281828459045235360287471352662497; } |
double const_e() { return 2.718281828459045235360287471352662497; } |
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double double_factorial(double x) |
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{ |
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return tgamma(x+1); |
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} |
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int simplify_elemfunc_ins(); |
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int simplify_factorial_ins(); |
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int simplify_abs_ins(); |
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void pf_init() { |
void pf_init() { |
uarg = (V *)CALLOC(1,sizeof(V)); |
uarg = (V *)CALLOC(1,sizeof(V)); |
uarg[0] = &oVAR[26]; MKV(uarg[0],x); |
uarg[0] = &oVAR[26]; MKV(uarg[0],x); |
Line 123 void pf_init() { |
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Line 128 void pf_init() { |
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darg[0] = &oVAR[26]; |
darg[0] = &oVAR[26]; |
darg[1] = &oVAR[27]; MKV(darg[1],y); |
darg[1] = &oVAR[27]; MKV(darg[1],y); |
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mkpf("@pi",0,0,0,(int (*)())p_pi,const_pi,0,&pidef); |
mkpf("@pi",0,0,0,(int (*)())mp_pi,const_pi,simplify_elemfunc_ins,&pidef); |
mkpf("@e",0,0,0,(int (*)())p_e,const_e,0,&edef); |
mkpf("@e",0,0,0,(int (*)())mp_e,const_e,simplify_elemfunc_ins,&edef); |
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mkpf("log",0,1,uarg,(int (*)())p_log,log,0,&logdef); |
mkpf("factorial",0,1,uarg,(int (*)())mp_factorial,double_factorial,simplify_factorial_ins,&factorialdef); |
mkpf("exp",0,1,uarg,(int (*)())p_exp,exp,0,&expdef); |
mkpf("abs",0,1,uarg,(int (*)())mp_abs,fabs,simplify_abs_ins,&absdef); |
mkpf("pow",0,2,darg,(int (*)())p_pow,pow,(int (*)())simplify_pow,&powdef); |
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mkpf("sin",0,1,uarg,(int (*)())p_sin,sin,0,&sindef); |
mkpf("log",0,1,uarg,(int (*)())mp_log,log,simplify_elemfunc_ins,&logdef); |
mkpf("cos",0,1,uarg,(int (*)())p_cos,cos,0,&cosdef); |
mkpf("exp",0,1,uarg,(int (*)())mp_exp,exp,simplify_elemfunc_ins,&expdef); |
mkpf("tan",0,1,uarg,(int (*)())p_tan,tan,0,&tandef); |
mkpf("pow",0,2,darg,(int (*)())mp_pow,pow,(int (*)())simplify_pow,&powdef); |
mkpf("asin",0,1,uarg,(int (*)())p_asin,asin,0,&asindef); |
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mkpf("acos",0,1,uarg,(int (*)())p_acos,acos,0,&acosdef); |
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mkpf("atan",0,1,uarg,(int (*)())p_atan,atan,0,&atandef); |
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mkpf("sinh",0,1,uarg,(int (*)())p_sinh,sinh,0,&sinhdef); |
mkpf("sin",0,1,uarg,(int (*)())mp_sin,sin,simplify_elemfunc_ins,&sindef); |
mkpf("cosh",0,1,uarg,(int (*)())p_cosh,cosh,0,&coshdef); |
mkpf("cos",0,1,uarg,(int (*)())mp_cos,cos,simplify_elemfunc_ins,&cosdef); |
mkpf("tanh",0,1,uarg,(int (*)())p_tanh,tanh,0,&tanhdef); |
mkpf("tan",0,1,uarg,(int (*)())mp_tan,tan,simplify_elemfunc_ins,&tandef); |
#if !defined(VISUAL) |
mkpf("asin",0,1,uarg,(int (*)())mp_asin,asin,simplify_elemfunc_ins,&asindef); |
mkpf("asinh",0,1,uarg,(int (*)())p_asinh,asinh,0,&asinhdef); |
mkpf("acos",0,1,uarg,(int (*)())mp_acos,acos,simplify_elemfunc_ins,&acosdef); |
mkpf("acosh",0,1,uarg,(int (*)())p_acosh,acosh,0,&acoshdef); |
mkpf("atan",0,1,uarg,(int (*)())mp_atan,atan,simplify_elemfunc_ins,&atandef); |
mkpf("atanh",0,1,uarg,(int (*)())p_atanh,atanh,0,&atanhdef); |
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mkpf("sinh",0,1,uarg,(int (*)())mp_sinh,sinh,simplify_elemfunc_ins,&sinhdef); |
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mkpf("cosh",0,1,uarg,(int (*)())mp_cosh,cosh,simplify_elemfunc_ins,&coshdef); |
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mkpf("tanh",0,1,uarg,(int (*)())mp_tanh,tanh,simplify_elemfunc_ins,&tanhdef); |
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#if !defined(VISUAL) && !defined(__MINGW32__) |
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mkpf("asinh",0,1,uarg,(int (*)())mp_asinh,asinh,simplify_elemfunc_ins,&asinhdef); |
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mkpf("acosh",0,1,uarg,(int (*)())mp_acosh,acosh,simplify_elemfunc_ins,&acoshdef); |
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mkpf("atanh",0,1,uarg,(int (*)())mp_atanh,atanh,simplify_elemfunc_ins,&atanhdef); |
#endif |
#endif |
make_exp(); |
make_exp(); |
make_tri(); |
make_tri(); |
make_itri(); |
make_itri(); |
make_hyp(); |
make_hyp(); |
#if !defined(VISUAL) |
#if !defined(VISUAL) && !defined(__MINGW32__) |
make_ihyp(); |
make_ihyp(); |
#endif |
#endif |
} |
} |
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simplify_ins(ins,r); |
simplify_ins(ins,r); |
} |
} |
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extern int evalef; |
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void simplify_pow(ins,rp) |
void simplify_pow(ins,rp) |
PFINS ins; |
PFINS ins; |
Obj *rp; |
Obj *rp; |
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V v; |
V v; |
P t; |
P t; |
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if ( evalef ) { |
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simplify_elemfunc_ins(ins,rp); |
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return; |
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} |
pf = ins->pf; ad = ins->ad; a0 = ad[0].arg; a1 = ad[1].arg; |
pf = ins->pf; ad = ins->ad; a0 = ad[0].arg; a1 = ad[1].arg; |
if ( !a1 ) |
if ( !a1 ) |
*rp = (Obj)ONE; |
*rp = (Obj)ONE; |
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else if ( RATN(a1) && SGN((Q)a1) < 0 ) |
else if ( RATN(a1) && SGN((Q)a1) < 0 ) |
error("simplify_pow : division by 0"); |
error("simplify_pow : division by 0"); |
else { |
else { |
instov(ins,&v); MKV(v,t); *rp = (Obj)t; |
instoobj(ins,rp); |
} |
} |
} else if ( NUM(a1) && INT(a1) ) |
} else if ( NUM(a1) && INT(a1) ) |
arf_pwr(CO,a0,a1,rp); |
arf_pwr(CO,a0,a1,rp); |
else { |
else { |
instov(ins,&v); MKV(v,t); *rp = (Obj)t; |
instoobj(ins,rp); |
} |
} |
} |
} |
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Line 564 void Pcall(NODE arg,Obj *rp) |
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Line 578 void Pcall(NODE arg,Obj *rp) |
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{ |
{ |
P p; |
P p; |
V v; |
V v; |
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NODE n,n1; |
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LIST list; |
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VECT vect; |
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pointer *a; |
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int len,i; |
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p = (P)ARG0(arg); |
p = (P)ARG0(arg); |
if ( !p || OID(p) != 2 ) |
if ( !p || OID(p) != 2 ) |
Line 571 void Pcall(NODE arg,Obj *rp) |
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Line 590 void Pcall(NODE arg,Obj *rp) |
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v = VR(p); |
v = VR(p); |
if ( (int)v->attr != V_SR ) |
if ( (int)v->attr != V_SR ) |
error("call : no such function"); |
error("call : no such function"); |
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else { |
else |
list = (LIST) ARG1(arg); |
*rp = (Obj)bevalf((FUNC)v->priv,BDY((LIST)ARG1(arg))); |
if ( list ) { |
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switch (OID(list)) { |
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case O_VECT: |
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vect = (VECT)list; len = vect->len; a = BDY(vect); |
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for ( i = len - 1, n = 0; i >= 0; i-- ) { |
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MKNODE(n1,a[i],n); n = n1; |
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} |
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MKLIST(list,n); |
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/* falling next case */ |
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case O_LIST: |
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*rp = (Obj)bevalf_with_opts((FUNC)v->priv,BDY(list),current_option); |
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return; |
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default: |
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break; |
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} |
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} |
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error("call : invalid argument"); |
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} |
} |
} |
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/* at=position of arg to be used for iteration */ |
/* at=position of arg to be used for iteration */ |
Line 591 void Pmapat(NODE arg,Obj *rp) |
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Line 627 void Pmapat(NODE arg,Obj *rp) |
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int len,row,col,i,j,pos; |
int len,row,col,i,j,pos; |
Obj iter; |
Obj iter; |
pointer val; |
pointer val; |
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NODE option; |
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option = current_option; |
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if ( argc(arg) < 3 ) |
if ( argc(arg) < 3 ) |
error("mapat : too few arguments"); |
error("mapat : too few arguments"); |
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Line 616 void Pmapat(NODE arg,Obj *rp) |
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Line 655 void Pmapat(NODE arg,Obj *rp) |
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NEXTNODE(r0,r); |
NEXTNODE(r0,r); |
iter = BDY(t); rest = NEXT(t); |
iter = BDY(t); rest = NEXT(t); |
if ( !iter ) { |
if ( !iter ) { |
*rp = bevalf(f,node); |
*rp = bevalf_with_opts(f,node,option); |
return; |
return; |
} |
} |
switch ( OID(iter) ) { |
switch ( OID(iter) ) { |
Line 624 void Pmapat(NODE arg,Obj *rp) |
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Line 663 void Pmapat(NODE arg,Obj *rp) |
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v = (VECT)iter; len = v->len; MKVECT(rv,len); |
v = (VECT)iter; len = v->len; MKVECT(rv,len); |
for ( i = 0; i < len; i++ ) { |
for ( i = 0; i < len; i++ ) { |
BDY(r) = BDY(v)[i]; NEXT(r) = rest; |
BDY(r) = BDY(v)[i]; NEXT(r) = rest; |
BDY(rv)[i] = bevalf(f,r0); |
BDY(rv)[i] = bevalf_with_opts(f,r0,option); |
} |
} |
*rp = (Obj)rv; |
*rp = (Obj)rv; |
break; |
break; |
Line 633 void Pmapat(NODE arg,Obj *rp) |
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Line 672 void Pmapat(NODE arg,Obj *rp) |
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for ( i = 0; i < row; i++ ) |
for ( i = 0; i < row; i++ ) |
for ( j = 0; j < col; j++ ) { |
for ( j = 0; j < col; j++ ) { |
BDY(r) = BDY(m)[i][j]; NEXT(r) = rest; |
BDY(r) = BDY(m)[i][j]; NEXT(r) = rest; |
BDY(rm)[i][j] = bevalf(f,r0); |
BDY(rm)[i][j] = bevalf_with_opts(f,r0,option); |
} |
} |
*rp = (Obj)rm; |
*rp = (Obj)rm; |
break; |
break; |
Line 641 void Pmapat(NODE arg,Obj *rp) |
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Line 680 void Pmapat(NODE arg,Obj *rp) |
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n = BDY((LIST)iter); |
n = BDY((LIST)iter); |
for ( t0 = t = 0; n; n = NEXT(n) ) { |
for ( t0 = t = 0; n; n = NEXT(n) ) { |
BDY(r) = BDY(n); NEXT(r) = rest; |
BDY(r) = BDY(n); NEXT(r) = rest; |
NEXTNODE(t0,t); BDY(t) = bevalf(f,r0); |
NEXTNODE(t0,t); BDY(t) = bevalf_with_opts(f,r0,option); |
} |
} |
if ( t0 ) |
if ( t0 ) |
NEXT(t) = 0; |
NEXT(t) = 0; |
Line 649 void Pmapat(NODE arg,Obj *rp) |
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Line 688 void Pmapat(NODE arg,Obj *rp) |
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*rp = (Obj)rl; |
*rp = (Obj)rl; |
break; |
break; |
default: |
default: |
*rp = bevalf(f,node); |
*rp = bevalf_with_opts(f,node,option); |
break; |
break; |
} |
} |
} |
} |
Line 668 void Pmap(NODE arg,Obj *rp) |
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Line 707 void Pmap(NODE arg,Obj *rp) |
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int len,row,col,i,j; |
int len,row,col,i,j; |
Obj iter; |
Obj iter; |
pointer val; |
pointer val; |
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NODE option; |
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option = current_option; |
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if ( argc(arg) < 2 ) |
if ( argc(arg) < 2 ) |
error("mapat : too few arguments"); |
error("mapat : too few arguments"); |
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Line 685 void Pmap(NODE arg,Obj *rp) |
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Line 727 void Pmap(NODE arg,Obj *rp) |
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error("evalmapf : invalid position"); |
error("evalmapf : invalid position"); |
r0 = 0; |
r0 = 0; |
NEXTNODE(r0,r); |
NEXTNODE(r0,r); |
iter = BDY(t); rest = NEXT(t); |
iter = BDY(node); rest = NEXT(node); |
if ( !iter ) { |
if ( !iter ) { |
*rp = bevalf(f,node); |
*rp = bevalf_with_opts(f,node,option); |
return; |
return; |
} |
} |
switch ( OID(iter) ) { |
switch ( OID(iter) ) { |
Line 695 void Pmap(NODE arg,Obj *rp) |
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Line 737 void Pmap(NODE arg,Obj *rp) |
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v = (VECT)iter; len = v->len; MKVECT(rv,len); |
v = (VECT)iter; len = v->len; MKVECT(rv,len); |
for ( i = 0; i < len; i++ ) { |
for ( i = 0; i < len; i++ ) { |
BDY(r) = BDY(v)[i]; NEXT(r) = rest; |
BDY(r) = BDY(v)[i]; NEXT(r) = rest; |
BDY(rv)[i] = bevalf(f,r0); |
BDY(rv)[i] = bevalf_with_opts(f,r0,option); |
} |
} |
*rp = (Obj)rv; |
*rp = (Obj)rv; |
break; |
break; |
Line 704 void Pmap(NODE arg,Obj *rp) |
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Line 746 void Pmap(NODE arg,Obj *rp) |
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for ( i = 0; i < row; i++ ) |
for ( i = 0; i < row; i++ ) |
for ( j = 0; j < col; j++ ) { |
for ( j = 0; j < col; j++ ) { |
BDY(r) = BDY(m)[i][j]; NEXT(r) = rest; |
BDY(r) = BDY(m)[i][j]; NEXT(r) = rest; |
BDY(rm)[i][j] = bevalf(f,r0); |
BDY(rm)[i][j] = bevalf_with_opts(f,r0,option); |
} |
} |
*rp = (Obj)rm; |
*rp = (Obj)rm; |
break; |
break; |
Line 712 void Pmap(NODE arg,Obj *rp) |
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Line 754 void Pmap(NODE arg,Obj *rp) |
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n = BDY((LIST)iter); |
n = BDY((LIST)iter); |
for ( t0 = t = 0; n; n = NEXT(n) ) { |
for ( t0 = t = 0; n; n = NEXT(n) ) { |
BDY(r) = BDY(n); NEXT(r) = rest; |
BDY(r) = BDY(n); NEXT(r) = rest; |
NEXTNODE(t0,t); BDY(t) = bevalf(f,r0); |
NEXTNODE(t0,t); BDY(t) = bevalf_with_opts(f,r0,option); |
} |
} |
if ( t0 ) |
if ( t0 ) |
NEXT(t) = 0; |
NEXT(t) = 0; |
Line 720 void Pmap(NODE arg,Obj *rp) |
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Line 762 void Pmap(NODE arg,Obj *rp) |
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*rp = (Obj)rl; |
*rp = (Obj)rl; |
break; |
break; |
default: |
default: |
*rp = bevalf(f,node); |
*rp = bevalf_with_opts(f,node,option); |
break; |
break; |
} |
} |
} |
} |