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/*****************************************************************************/
/* lfit-builtin.c */
/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
/* LFIT - Symbolic fitting & arithmetic evaluating utility. */
/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
/* This file defines the built-in functions available in LFIT by default. */
/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
/* (c) 1996, 2002, 2004-2005, 2006, 2007-2008; Pal, A. (apal@szofi.elte.hu) */
/*****************************************************************************/
#include <stdio.h>
#include <math.h>
#include <string.h>
#include <stdlib.h>
#if defined _CHDET_SOURCE
#include "psn.h"
#elif defined _FITSH_SOURCE
#include <psn/psn.h>
#else
#include <psn/psn.h>
#endif
#if defined _FITSH_SOURCE
#include "math/elliptic/elliptic.h"
#include "math/elliptic/ntiq.h"
#include "math/spline/spline.h"
#include "xfunct.h"
#elif defined _ASTRO_EXTEN
#include "elliptic/elliptic.h"
#include "elliptic/ntiq.h"
#include "spline/spline.h"
#include "xfunct.h"
#endif
#include <lfit/lfit.h>
#include "lfit-builtin.h"
#ifndef M_PI
#define M_PI 3.1415926535897932384626433832795028841968
#endif
#ifndef M_LN10
#define M_LN10 2.3025850929940456840179914546843642076011
#endif
#ifndef M_LOG10E
#define M_LOG10E 0.4342944819032518276511289189166050822943
#endif
/*****************************************************************************/
static int bltf_o_add(double *s) { *(s-2)=(*(s-2))+(*(s-1));return(0); }
static int bltf_o_sub(double *s) { *(s-2)=(*(s-2))-(*(s-1));return(0); }
static int bltf_o_mul(double *s) { *(s-2)=(*(s-2))*(*(s-1));return(0); }
static int bltf_o_div(double *s) { if ( *(s-1)==0.0 ) return(1);
*(s-2)=(*(s-2))/(*(s-1));return(0); }
static int bltf_o_pow(double *s) { *(s-2)=pow(*(s-2),*(s-1));
return(0); }
static int bltf_o_chs(double *s) { *(s-1)=-(*(s-1));return(0); }
static int bltf_o_psq(double *s) { s--,(*s)*=*s;return(0); }
static int bltf_o_rcp(double *s) { s--;if ( *s==0.0 ) return(1);
*s=1.0/(*s);return(0); }
static int bltf_o_sqr(double *s) { s--;if ( *s<0.0 ) return(1);
*s=sqrt(*s);return(0); }
static int bltf_o_abs(double *s) { s--;*s=fabs(*s);return(0); }
static int bltf_o_sgn(double *s) { s--; if ( *s>0 ) *s=1.0;
else if ( *s<0 ) *s=-1.0;
else *s=0.0;
return(0); }
static int bltf_o_theta(double *s) { s--;if ( *s>0 ) *s=1.0;
else if ( *s<0 ) *s=0.0;
else *s=0.5;
return(0); }
static int bltf_o_fmod(double *s) { double m,d;int k;
s-=2;m=*s,d=*(s+1);
if ( d<0.0 ) d=-d; else if ( d==0.0 ) return(1);
if ( m<0.0 ) k=(int)((-m)/d),m+=d*(double)(k+2);
k=(int)(m/d),m-=(double)k*d;
*s=m;return(0); }
static int bltf_o_fint(double *s) { s--;*s=floor(*s);return(0); }
static int bltf_o_fdiv(double *s) { double m,d;
s-=2;m=*s,d=*(s+1);
if ( d<0.0 ) d=-d; else if ( d==0.0 ) return(1);
m=floor(m/d);
*s=m;return(0); }
static int bltf_o_vpi(double *s) { *s=M_PI;return(0); }
static int bltf_f_arg(double *s) { s-=2; *s=atan2(*(s+1),*(s));return(0); }
static int bltf_f_atan2(double *s) { s-=2; *s=atan2(*(s),*(s+1));return(0); }
static int bltf_f_hypot(double *s) { s-=2; *s=sqrt((*s)*(*s)+(*(s+1))*(*(s+1)));return(0); }
static int bltf_f_exp(double *s) { s--;*s=exp(*s);return(0); }
static int bltf_f_log(double *s) { s--;if ( *s<=0.0 ) return(1);
*s=log(*s);return(0); }
static int bltf_f_exp10(double *s) { s--;*s=exp(*s*(M_LN10));return(0); }
static int bltf_f_log10(double *s) { s--;if ( *s<=0.0 ) return(1);
*s=log(*s)*M_LOG10E;return(0); }
static int bltf_f_sin(double *s) { *(s-1)=sin(*(s-1));return(0); }
static int bltf_f_cos(double *s) { *(s-1)=cos(*(s-1));return(0); }
static int bltf_f_tan(double *s) { *(s-1)=tan(*(s-1));return(0); }
static int bltf_f_ctn(double *s) { *(s-1)=1.0/tan(*(s-1));return(0); }
static int bltf_f_sina(double *s) { *(s-1)=sin(*(s-1)*M_PI/180.0);return(0); }
static int bltf_f_cosa(double *s) { *(s-1)=cos(*(s-1)*M_PI/180.0);return(0); }
static int bltf_f_tana(double *s) { *(s-1)=tan(*(s-1)*M_PI/180.0);return(0); }
static int bltf_f_ctna(double *s) { *(s-1)=1.0/tan(*(s-1)*M_PI/180.0);return(0); }
static int bltf_f_asin(double *s) { *(s-1)=asin(*(s-1));return(0); }
static int bltf_f_acos(double *s) { *(s-1)=acos(*(s-1));return(0); }
static int bltf_f_atan(double *s) { *(s-1)=atan(*(s-1));return(0); }
static int bltf_f_actn(double *s) { *(s-1)=atan(1.0/(*(s-1)));return(0); }
static int bltf_f_asina(double *s) { *(s-1)=asin(*(s-1))*180.0/M_PI;return(0); }
static int bltf_f_acosa(double *s) { *(s-1)=acos(*(s-1))*180.0/M_PI;return(0); }
static int bltf_f_atana(double *s) { *(s-1)=atan(*(s-1))*180.0/M_PI;return(0); }
static int bltf_f_actna(double *s) { *(s-1)=atan(1.0/(*(s-1)))*180.0/M_PI;return(0); }
/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
static int bltf_f_ilinear(double *s)
{
int b;
double x,r;
s-=3;
b=(int)s[1];
x=s[2];
if ( x <= b-1 )
r=0.0;
else if ( x <= b )
r=1.0-(b-x);
else if ( x < b+1 )
r=1.0-(x-b);
else
r=0.0;
*s=r;
return(0);
}
static int bltf_f_ilinear_dx(double *s)
{
int b;
double x,r;
s-=3;
b=(int)s[1];
x=s[2];
if ( x <= b-1 )
r=0.0;
else if ( x <= b )
r=+1.0;
else if ( x < b+1 )
r=-1.0;
else
r=0.0;
*s=r;
return(0);
}
static int bltf_f_ispline(double *s)
{
static int t_save=0;
static double *arr=NULL;
int n,t,b;
double x,r;
s-=3;
n=(int)s[0];
b=(int)s[1];
x=s[2];
if ( n<0 || ! ( 0<=b && b<=n ) )
return(-1);
if ( x<0 ) x=0.0;
else if ( x>n ) x=(double)n;
t=n+1;
if ( t_save != t )
{ int i,j;
t_save=t;
if ( arr != NULL )
{ free(arr);
arr=NULL;
}
arr=(double *)malloc(sizeof(double)*(2*t*t));
for ( i=0 ; i<t ; i++ )
{ for ( j=0 ; j<t ; j++ )
{ arr[i*t+j]=(i==j?1.0:0.0); }
natspline_coeff(&arr[i*t],t,&arr[(i+t)*t]);
}
}
r=natspline_inter(&arr[b*t],&arr[(b+t)*t],t,x);
s[0]=r;
return(0);
}
static int bltf_f_ispline_dx(double *s)
{
static int t_save=0;
static double *arr=NULL;
int n,t,b;
double x,r;
s-=3;
n=(int)s[0];
b=(int)s[1];
x=s[2];
if ( n<0 || ! ( 0<=b && b<=n ) )
return(-1);
if ( x<0 ) x=0.0;
else if ( x>n ) x=(double)n;
t=n+1;
if ( t_save != t )
{ int i,j;
t_save=t;
if ( arr != NULL )
{ free(arr);
arr=NULL;
}
arr=(double *)malloc(sizeof(double)*(2*t*t));
for ( i=0 ; i<t ; i++ )
{ for ( j=0 ; j<t ; j++ )
{ arr[i*t+j]=(i==j?1.0:0.0); }
natspline_coeff(&arr[i*t],t,&arr[(i+t)*t]);
}
}
r=natspline_inter_der(&arr[b*t],&arr[(b+t)*t],t,x);
s[0]=r;
return(0);
}
static int bltf_f_icyspline(double *s)
{
static int n_save=0;
static double *arr=NULL;
int n;
double x,r;
s-=2;
n=(int)s[0];
x=s[1];
if ( n<0 )
return(-1);
if ( n_save != n )
{ int i;
n_save=n;
if ( arr != NULL )
{ free(arr);
arr=NULL;
}
arr=(double *)malloc(sizeof(double)*(2*n));
for ( i=0 ; i<n ; i++ )
{ arr[i]=0.0; }
arr[0]=1.0;
cyspline_coeff(arr,n,arr+n);
}
r=cyspline_inter(arr,arr+n,n,x);
s[0]=r;
return(0);
}
static int bltf_f_icyspline_dx(double *s)
{
static int n_save=0;
static double *arr=NULL;
int n;
double x,r;
s-=2;
n=(int)s[0];
x=s[1];
if ( n<0 )
return(-1);
if ( n_save != n )
{ int i;
n_save=n;
if ( arr != NULL )
{ free(arr);
arr=NULL;
}
arr=(double *)malloc(sizeof(double)*(2*n));
for ( i=0 ; i<n ; i++ )
{ arr[i]=0.0; }
arr[0]=1.0;
cyspline_coeff(arr,n,arr+n);
}
r=cyspline_inter_der(arr,arr+n,n,x);
s[0]=r;
return(0);
}
/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
static int bltf_f_jbessel(double *s)
{
double x,y;
int n;
s-=2;
n=(int)floor(s[0]);
x=s[1];
if ( n==0 ) y=j0(x);
else if ( n==1 ) y=j1(x);
else if ( n==-1 ) y=-j1(x);
else y=jn(n,x);
s[0]=y;
return(0);
}
static int bltf_f_ybessel(double *s)
{
double x,y;
int n;
s-=2;
n=(int)floor(s[0]);
x=s[1];
if ( x<=0.0 ) return(1);
if ( n==0 ) y=y0(x);
else if ( n==1 ) y=y1(x);
else if ( n==-1 ) y=-y1(x);
else y=yn(n,x);
s[0]=y;
return(0);
}
/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
/* Definitions of additional operators: relations and boolean operators: */
static int bltf_o_equ(double *s) { if ( *(s-1)==*(s-2) ) *(s-2)=1.0; else *(s-2)=0.0; return(0); }
static int bltf_o_neq(double *s) { if ( *(s-1)!=*(s-2) ) *(s-2)=1.0; else *(s-2)=0.0; return(0); }
static int bltf_o_ls(double *s) { if ( *(s-2)< *(s-1) ) *(s-2)=1.0; else *(s-2)=0.0; return(0); }
static int bltf_o_gr(double *s) { if ( *(s-2)> *(s-1) ) *(s-2)=1.0; else *(s-2)=0.0; return(0); }
static int bltf_o_le(double *s) { if ( *(s-2)<=*(s-1) ) *(s-2)=1.0; else *(s-2)=0.0; return(0); }
static int bltf_o_ge(double *s) { if ( *(s-2)>=*(s-1) ) *(s-2)=1.0; else *(s-2)=0.0; return(0); }
static int bltf_o_and(double *s) { if ( *(s-1)!=0 && *(s-2)!=0 ) *(s-2)=1.0; else *(s-2)=0.0; return(0); }
static int bltf_o_or(double *s) { if ( *(s-1)!=0 || *(s-2)!=0 ) *(s-2)=1.0; else *(s-2)=0.0; return(0); }
/*****************************************************************************/
/* Derivative rules */
static short diffrule_o_add[]={ SS_D2,SS_D1,O_ADD,0 };
static short diffrule_o_sub[]={ SS_D2,SS_D1,O_SUB,0 };
static short diffrule_o_mul[]={ SS_D2,SS_N1,O_MUL,SS_D1,SS_N2,O_MUL,O_ADD,0 };
static short diffrule_o_div[]={ SS_D2,SS_N1,O_MUL,SS_D1,SS_N2,O_MUL,O_SUB,SS_N1,O_PSQ,O_DIV,0 };
static short diffrule_o_pow[]={ SS_N2,SS_N1,O_POW,SS_D1,O_MUL,SS_N2,F_LOG,O_MUL,SS_N2,SS_N1,CON_1,O_SUB,O_POW,SS_N1,O_MUL,SS_D2,O_MUL,O_ADD,0 };
static short diffrule_o_chs[]={ SS_D1,O_CHS,0 };
static short diffrule_o_psq[]={ SS_N1,CON_2,O_MUL,SS_D1,O_MUL,0 };
static short diffrule_o_rcp[]={ SS_N1,O_PSQ,O_RCP,O_CHS,SS_D1,O_MUL,0 };
static short diffrule_f_sqr[]={ SS_N1,F_SQR,CON_2,O_MUL,O_RCP,SS_D1,O_MUL,0 };
static short diffrule_f_abs[]={ SS_N1,F_SGN,SS_D1,O_MUL,0 };
static short diffrule_f_sgn[] ={ CON_0,0 };
static short diffrule_f_theta[]={ CON_0,0 };
static short diffrule_f_fmod[]={ SS_D2,SS_N2,SS_N1,O_DIV,F_FINT,SS_D1,O_MUL,O_SUB,0 };
static short diffrule_f_fint[]={ CON_0,0 };
static short diffrule_f_fdiv[]={ CON_0,0 };
static short diffrule_f_vpi[]={ CON_0,0 };
static short diffrule_f_arg []={ SS_N2,SS_D1,O_MUL,SS_N1,SS_D2,O_MUL,O_SUB,SS_N1,O_PSQ,SS_N2,O_PSQ,O_ADD,O_DIV,0 };
static short diffrule_f_atan2[]={ SS_N1,SS_D2,O_MUL,SS_N2,SS_D1,O_MUL,O_SUB,SS_N1,O_PSQ,SS_N2,O_PSQ,O_ADD,O_DIV,0 };
static short diffrule_f_hypot[]={ SS_N1,SS_D1,O_MUL,SS_N2,SS_D2,O_MUL,O_ADD,SS_N1,SS_N2,F_HYPOT,O_DIV,0 };
static short diffrule_f_sin[]={ SS_N1,F_COS,SS_D1,O_MUL,0 };
static short diffrule_f_cos[]={ SS_N1,F_SIN,O_CHS,SS_D1,O_MUL,0 };
static short diffrule_f_tan[]={ SS_N1,F_COS,O_PSQ,O_RCP,SS_D1,O_MUL,0 };
static short diffrule_f_ctn[]={ SS_N1,F_SIN,O_PSQ,O_RCP,O_CHS,SS_D1,O_MUL,0 };
static short diffrule_f_asin[]={ SS_D1,CON_1,SS_N1,O_PSQ,O_SUB,F_SQR,O_DIV,0 };
static short diffrule_f_acos[]={ SS_D1,CON_1,SS_N1,O_PSQ,O_SUB,F_SQR,O_DIV,O_CHS,0 };
static short diffrule_f_atan[]={ SS_D1,CON_1,SS_N1,O_PSQ,O_ADD,O_DIV,0 };
static short diffrule_f_actn[]={ SS_D1,CON_1,SS_N1,O_PSQ,O_ADD,O_DIV,O_CHS };
static short diffrule_f_exp[]={ SS_N1,F_EXP,SS_D1,O_MUL,0 };
static short diffrule_f_log[]={ SS_N1,O_RCP,SS_D1,O_MUL,0 };
static short diffrule_f_ilinear[] = { SS_N3,SS_N2,SS_N1,F_ILINEAR_DX,SS_D1,O_MUL,0 };
static short diffrule_f_ispline[] = { SS_N3,SS_N2,SS_N1,F_ISPLINE_DX,SS_D1,O_MUL,0 };
static short diffrule_f_icyspline[] = { SS_N2,SS_N1,F_ICYSPLINE_DX,SS_D1,O_MUL,0 };
static short diffrule_f_jbessel[] = { SS_N2,CON_1,O_SUB,SS_N1,F_JBESSEL,SS_N2,CON_1,O_ADD,SS_N1,F_JBESSEL,O_SUB,CON_2,O_DIV,SS_D1,O_MUL,0 };
static short diffrule_f_ybessel[] = { SS_N2,CON_1,O_SUB,SS_N1,F_YBESSEL,SS_N2,CON_1,O_ADD,SS_N1,F_YBESSEL,O_SUB,CON_2,O_DIV,SS_D1,O_MUL,0 };
/* Simplification rules: */
/* Type */
static short sim_o_add1[]={ S_EXP1,CON_0,O_ADD,0,S_EXP1,0 }; /* expr+0=expr */
static short sim_o_add2[]={ CON_0,S_EXP1,O_ADD,0,S_EXP1,0 }; /* 0+expr=expr */
static short sim_o_sub1[]={ S_EXP1,CON_0,O_SUB,0,S_EXP1,0 }; /* expr-0=expr */
static short sim_o_sub2[]={ CON_0,S_EXP1,O_SUB,0,S_EXP1,O_CHS,0 }; /* 0-expr=-expr */
static short sim_o_mul1[]={ S_EXP1,CON_1 ,O_MUL,0,S_EXP1,0 }; /* expr*1=expr */
static short sim_o_mul2[]={ CON_1 ,S_EXP1,O_MUL,0,S_EXP1,0 }; /* 1*expr=expr */
static short sim_o_mul3[]={ S_EXP1,CON_0 ,O_MUL,0,CON_0,0 }; /* expr*0=0 */
static short sim_o_mul4[]={ CON_0 ,S_EXP1,O_MUL,0,CON_0,0 }; /* 0*expr=0 */
static short sim_o_mul5[]={ S_EXP1,S_EXP1,O_MUL,0,S_EXP1,O_PSQ,0 }; /* ex*ex=ex^(2) */
static short sim_o_div1[]={ S_EXP1,CON_1 ,O_DIV,0,S_EXP1,0 }; /* expr/1=expr */
static short sim_o_div2[]={ CON_1 ,S_EXP1,O_DIV,0,S_EXP1,O_RCP,0 }; /* 1/expr=expr^(-1) */
static short sim_o_div3[]={ S_EXP1,CON_0 ,O_DIV,0,0 }; /* expr/0=UNDEF! */
static short sim_o_div4[]={ CON_0 ,S_EXP1,O_DIV,0,CON_0 ,0 }; /* 0/expr=0 */
static short sim_o_pow1[]={ S_EXP1,CON_0,O_POW,0,CON_1 ,0 }; /* ex^0=1 */
static short sim_o_pow2[]={ S_EXP1,CON_1,O_POW,0,S_EXP1,0 }; /* ex^1=ex */
static short sim_o_pow3[]={ S_EXP1,CON_2,O_POW,0,S_EXP1,O_PSQ,0 }; /* ex^2=ex PSQ */
static short sim_addmul_dis1[]={ S_EXP1,S_EXP2,O_MUL,S_EXP1,S_EXP3,O_MUL,O_ADD,0,S_EXP1,S_EXP2,S_EXP3,O_ADD,O_MUL,0 }; /* a*b+a*c=a*(b+c) */
static short sim_addmul_dis2[]={ S_EXP2,S_EXP1,O_MUL,S_EXP1,S_EXP3,O_MUL,O_ADD,0,S_EXP1,S_EXP2,S_EXP3,O_ADD,O_MUL,0 }; /* a*b+c*a=a*(b+c) */
static short sim_addmul_dis3[]={ S_EXP1,S_EXP2,O_MUL,S_EXP3,S_EXP1,O_MUL,O_ADD,0,S_EXP1,S_EXP2,S_EXP3,O_ADD,O_MUL,0 }; /* b*a+a*c=a*(b+c) */
static short sim_addmul_dis4[]={ S_EXP2,S_EXP1,O_MUL,S_EXP3,S_EXP1,O_MUL,O_ADD,0,S_EXP1,S_EXP2,S_EXP3,O_ADD,O_MUL,0 }; /* b*a+c*a=a*(b+c) */
static short sim_submul_dis1[]={ S_EXP1,S_EXP2,O_MUL,S_EXP1,S_EXP3,O_MUL,O_SUB,0,S_EXP1,S_EXP2,S_EXP3,O_SUB,O_MUL,0 }; /* a*b-a*c=a*(b-c) */
static short sim_submul_dis2[]={ S_EXP2,S_EXP1,O_MUL,S_EXP1,S_EXP3,O_MUL,O_SUB,0,S_EXP1,S_EXP2,S_EXP3,O_SUB,O_MUL,0 }; /* a*b-c*a=a*(b-c) */
static short sim_submul_dis3[]={ S_EXP1,S_EXP2,O_MUL,S_EXP3,S_EXP1,O_MUL,O_SUB,0,S_EXP1,S_EXP2,S_EXP3,O_SUB,O_MUL,0 }; /* b*a-a*c=a*(b-c) */
static short sim_submul_dis4[]={ S_EXP2,S_EXP1,O_MUL,S_EXP3,S_EXP1,O_MUL,O_SUB,0,S_EXP1,S_EXP2,S_EXP3,O_SUB,O_MUL,0 }; /* b*a-c*a=a*(b-c) */
static short sim_adddiv_dis []={ S_EXP2,S_EXP1,O_DIV,S_EXP3,S_EXP1,O_DIV,O_ADD,0,S_EXP2,S_EXP3,O_ADD,S_EXP1,O_DIV,0 }; /* b/a+c/a=(b+c)/a */
static short sim_subdiv_dis []={ S_EXP2,S_EXP1,O_DIV,S_EXP3,S_EXP1,O_DIV,O_SUB,0,S_EXP2,S_EXP3,O_SUB,S_EXP1,O_DIV,0 }; /* b/a-c/a=(b-c)/a */
static short sim_mulpow_dis []={ S_EXP2,S_EXP1,O_POW,S_EXP3,S_EXP1,O_POW,O_MUL,0,S_EXP2,S_EXP3,O_MUL,S_EXP1,O_POW,0 }; /* b^a*c^a=(b*c)^a */
static short sim_divpow_dis []={ S_EXP2,S_EXP1,O_POW,S_EXP3,S_EXP1,O_POW,O_DIV,0,S_EXP2,S_EXP3,O_DIV,S_EXP1,O_POW,0 }; /* b^a/c^a=(b/c)^a */
static short sim_tau1[]= { S_EXP1,S_EXP2,O_CHS,O_SUB,0,S_EXP1,S_EXP2,O_ADD,0 }; /* a-(-b)=a+b */
static short sim_gon1[]= { S_EXP1,F_SIN,O_PSQ,S_EXP1,F_COS,O_PSQ,O_ADD,0,CON_1,0 }; /* sin^2(x)+cos^2(x)=1 */
short *psn_lfit_simp[]=
{ sim_o_add1,
sim_o_add2,
sim_o_sub1,
sim_o_sub2,
sim_o_mul1,
sim_o_mul2,
sim_o_mul3,
sim_o_mul4,
sim_o_mul5,
sim_o_div1,
sim_o_div2,
sim_o_div3,
sim_o_div4,
sim_o_pow1,
sim_o_pow2,
sim_o_pow3,
sim_addmul_dis1,
sim_addmul_dis2,
sim_addmul_dis3,
sim_addmul_dis4,
sim_submul_dis1,
sim_submul_dis2,
sim_submul_dis3,
sim_submul_dis4,
sim_adddiv_dis,
sim_subdiv_dis,
sim_mulpow_dis,
sim_divpow_dis,
sim_tau1,
sim_gon1,
NULL
};
static psnfunctinfo pfi_add = { "addition" };
static psnfunctinfo pfi_sub = { "subtraction" };
static psnfunctinfo pfi_chs = { "negation" };
static psnfunctinfo pfi_mul = { "multiplication" };
static psnfunctinfo pfi_div = { "division" };
static psnfunctinfo pfi_pow = { "power (right-associative)" };
static psnfunctinfo pfi_sin = { "sine function (argument in radians)" };
static psnfunctinfo pfi_cos = { "cosine function (argument in radians)" };
static psnfunctinfo pfi_tan = { "tangent function (argument in radians)" };
static psnfunctinfo pfi_cot = { "cotangent function (argument in radians)" };
static psnfunctinfo pfi_asin = { "inverse sine function (results radians)" };
static psnfunctinfo pfi_acos = { "inverse cosine function (results radians)" };
static psnfunctinfo pfi_atan = { "inverse tangent function (results radians)" };
static psnfunctinfo pfi_acot = { "inverse cotangent function (results radians)" };
static psnfunctinfo pfi_exp = { "exponential function (natural, e-based)" };
static psnfunctinfo pfi_log = { "natural logarithm" };
static psnfunctinfo pfi_exp10 = { "exponential function (base 10)" };
static psnfunctinfo pfi_log10 = { "logarithm to the base 10" };
static psnfunctinfo pfi_sgn = { "sign function" };
static psnfunctinfo pfi_theta = { "Heaviside step function" };
static psnfunctinfo pfi_abs = { "absolute value function" };
static psnfunctinfo pfi_sqrt = { "square root function" };
static psnfunctinfo pfi_fint = { "integer part function (i.e. results the largest integer which is not larger than the argument)" };
static psnfunctinfo pfi_fdiv = { "integer division, div(x,y) is equivalent to int(x/y)" };
static psnfunctinfo pfi_fmod = { "real fractional remainder function" };
static psnfunctinfo pfi_arg = { "two dimensional argument function (results radians)" };
static psnfunctinfo pfi_atan2 = { "two dimensional argument function, as defined in some programming languages, i.e. atan2(y,x)=arg(x,y) (results radians)" };
static psnfunctinfo pfi_hypot = { "hypotenuse function, it results the hypotenuse of a right triangle of which catheti are the two arguments of the function" };
static psnfunctinfo pfi_vpi = { "results the value of \\pi (a function with no arguments)" };
static psnfunctinfo pfi_ilinear = { "base function of linear interpolation" };
static psnfunctinfo pfi_ispline = { "base function of cubic spline interpolation" };
static psnfunctinfo pfi_icyspline = { "base function of cyclic cubic spline interpolation" };
static psnfunctinfo pfi_jbessel = { "Bessel function of the first kind" };
static psnfunctinfo pfi_ybessel = { "Bessel function of the second kind" };
/*****************************************************************************/
/*| sym type major minor | #| P| assoc | (*funct)()| diffrule | symstring S affix | */
psnlfit psnlfit_list_builtin_normal_operators[]=
{
{ "+" , T_OP, O_ADD , TO_INFIX , 2, 20, ASSOC_LEFT , bltf_o_add , diffrule_o_add , "#(1)+#(2)", 0, TO_INFIX , &pfi_add },
{ "+" , T_OP, 0 , TO_PREFIX, 0, 0, 0 , NULL , NULL , NULL , 0, 0 , NULL },
{ "-" , T_OP, O_SUB , TO_INFIX , 2, 20, ASSOC_LEFT , bltf_o_sub , diffrule_o_sub , "#(1)-#[2]", 0, TO_INFIX , &pfi_sub },
{ "-" , T_OP, O_CHS , TO_PREFIX, 1, 22, 0 , bltf_o_chs , diffrule_o_chs , "(-#(1))" , 1, 0 , &pfi_chs },
{ "*" , T_OP, O_MUL , TO_INFIX , 2, 21, ASSOC_LEFT , bltf_o_mul , diffrule_o_mul , "#(1)*#(2)", 0, TO_INFIX , &pfi_mul },
{ "/" , T_OP, O_DIV , TO_INFIX , 2, 21, ASSOC_LEFT , bltf_o_div , diffrule_o_div , "#(1)/#[2]", 0, TO_INFIX , &pfi_div },
{ "^" , T_OP, O_POW , TO_INFIX , 2, 23, ASSOC_RIGHT, bltf_o_pow , diffrule_o_pow , "#(1)^#(2)", 1, 0 , &pfi_pow },
{ "RCP" , T_OP, O_RCP , 0 , 1, 23, 0 , bltf_o_rcp , diffrule_o_rcp , "1.0/#[1]" , 0, TO_INFIX , NULL },
{ "PSQ" , T_OP, O_PSQ , 0 , 1, 23, 0 , bltf_o_psq , diffrule_o_psq , "#(1)^2" , 1, 0 , NULL },
{ NULL , 0 , 0 , 0 , 0, 0, 0 , NULL , NULL , NULL , 0, 0 , NULL }
};
psnlfit psnlfit_list_builtin_relational_operators[]=
{
{ "==" , T_OP, O_EQU , TO_INFIX , 2, 10, ASSOC_LEFT , bltf_o_equ , NULL , NULL , 0, 0 , NULL },
{ "!=" , T_OP, O_NEQ , TO_INFIX , 2, 10, ASSOC_LEFT , bltf_o_neq , NULL , NULL , 0, 0 , NULL },
{ "<" , T_OP, O_LS , TO_INFIX , 2, 10, ASSOC_LEFT , bltf_o_ls , NULL , NULL , 0, 0 , NULL },
{ ">" , T_OP, O_GR , TO_INFIX , 2, 10, ASSOC_LEFT , bltf_o_gr , NULL , NULL , 0, 0 , NULL },
{ "<=" , T_OP, O_LE , TO_INFIX , 2, 10, ASSOC_LEFT , bltf_o_le , NULL , NULL , 0, 0 , NULL },
{ ">=" , T_OP, O_GE , TO_INFIX , 2, 10, ASSOC_LEFT , bltf_o_ge , NULL , NULL , 0, 0 , NULL },
{ "&&" , T_OP, O_AND , TO_INFIX , 2, 5, ASSOC_LEFT , bltf_o_and , NULL , NULL , 0, 0 , NULL },
{ "||" , T_OP, O_OR , TO_INFIX , 2, 4, ASSOC_LEFT , bltf_o_or , NULL , NULL , 0, 0 , NULL },
{ NULL , 0 , 0 , 0 , 0, 0, 0 , NULL , NULL , NULL , 0, 0 , NULL },
};
psnlfit psnlfit_list_builtin_elementary_functions[]=
{
{ "sin" , T_FN, F_SIN , 0 , 1, 0, 0 , bltf_f_sin , diffrule_f_sin , "sin(#1)" , 0, 0 , &pfi_sin },
{ "cos" , T_FN, F_COS , 0 , 1, 0, 0 , bltf_f_cos , diffrule_f_cos , "cos(#1)" , 0, 0 , &pfi_cos },
{ "tan" , T_FN, F_TAN , 0 , 1, 0, 0 , bltf_f_tan , diffrule_f_tan , "tan(#1)" , 0, 0 , &pfi_tan },
{ "cot" , T_FN, F_CTN , 0 , 1, 0, 0 , bltf_f_ctn , diffrule_f_ctn , "cot(#1)" , 0, 0 , &pfi_cot },
{ "asin" , T_FN, F_ASIN , 0 , 1, 0, 0 , bltf_f_asin , diffrule_f_asin , "asin(#1)" , 0, 0 , &pfi_asin },
{ "acos" , T_FN, F_ACOS , 0 , 1, 0, 0 , bltf_f_acos , diffrule_f_acos , "acos(#1)" , 0, 0 , &pfi_acos },
{ "atan" , T_FN, F_ATAN , 0 , 1, 0, 0 , bltf_f_atan , diffrule_f_atan , "atan(#1)" , 0, 0 , &pfi_atan },
{ "acot" , T_FN, F_ACTN , 0 , 1, 0, 0 , bltf_f_actn , diffrule_f_actn , "acot(#1)" , 0, 0 , &pfi_acot },
{ "sina" , T_FN, F_SINA , 0 , 1, 0, 0 , bltf_f_sina , NULL , "sina(#1)" , 0, 0 , NULL },
{ "cosa" , T_FN, F_COSA , 0 , 1, 0, 0 , bltf_f_cosa , NULL , "cosa(#1)" , 0, 0 , NULL },
{ "tana" , T_FN, F_TANA , 0 , 1, 0, 0 , bltf_f_tana , NULL , "tana(#1)" , 0, 0 , NULL },
{ "ctga" , T_FN, F_CTNA , 0 , 1, 0, 0 , bltf_f_ctna , NULL , "ctna(#1)" , 0, 0 , NULL },
{ "asina", T_FN, F_ASINA, 0 , 1, 0, 0 , bltf_f_asina, NULL , "asina(#1)" , 0, 0 , NULL },
{ "acosa", T_FN, F_ACOSA, 0 , 1, 0, 0 , bltf_f_acosa, NULL , "acosa(#1)" , 0, 0 , NULL },
{ "atana", T_FN, F_ATANA, 0 , 1, 0, 0 , bltf_f_atana, NULL , "atana(#1)" , 0, 0 , NULL },
{ "actga", T_FN, F_ACTNA, 0 , 1, 0, 0 , bltf_f_actna, NULL , "actna(#1)" , 0, 0 , NULL },
{ "exp" , T_FN, F_EXP , 0 , 1, 0, 0 , bltf_f_exp , diffrule_f_exp , "exp(#1)" , 0, 0 , &pfi_exp },
{ "log" , T_FN, F_LOG , 0 , 1, 0, 0 , bltf_f_log , diffrule_f_log , "log(#1)" , 0, 0 , &pfi_log },
{ "exp10", T_FN, F_EXP10, 0 , 1, 0, 0 , bltf_f_exp10, NULL , "exp10(#1)" , 0, 0 , &pfi_exp10},
{ "log10", T_FN, F_LOG10, 0 , 1, 0, 0 , bltf_f_log10, NULL , "log10(#1)" , 0, 0 , &pfi_log10},
{ "sqrt" , T_FN, F_SQR , 0 , 1, 0, 0 , bltf_o_sqr , diffrule_f_sqr , "sqrt(#1)" , 0, 0 , &pfi_sqrt },
{ "abs" , T_FN, F_ABS , 0 , 1, 0, 0 , bltf_o_abs , diffrule_f_abs , "abs(#1)" , 0, 0 , &pfi_abs },
{ "sign" , T_FN, F_SGN , 0 , 1, 0, 0 , bltf_o_sgn , diffrule_f_sgn , "sign(#1)" , 0, 0 , &pfi_sgn },
{ "theta", T_FN, F_THETA, 0 , 1, 0, 0 , bltf_o_theta, diffrule_f_theta, "theta(#1)" , 0, 0 , &pfi_theta},
{ "int" , T_FN, F_FINT , 0 , 1, 0, 0 , bltf_o_fint , diffrule_f_fint , "int(#1)" , 0, 0 , &pfi_fint },
{ "div" , T_FN, F_FDIV , 0 , 2, 0, 0 , bltf_o_fdiv , diffrule_f_fdiv , "div(#1,#2)" , 0, 0 , &pfi_fdiv },
{ "mod" , T_FN, F_FMOD , 0 , 2, 0, 0 , bltf_o_fmod , diffrule_f_fmod , "mod(#1,#2)" , 0, 0 , &pfi_fmod },
{ "arg" , T_FN, F_ARG , 0 , 2, 0, 0 , bltf_f_arg , diffrule_f_arg , "arg(#1,#2)" , 0, 0 , &pfi_arg },
{ "atan2", T_FN, F_ATAN2, 0 , 2, 0, 0 , bltf_f_atan2, diffrule_f_atan2, "atan2(#1,#2)", 0, 0 , &pfi_atan2},
{ "hypot", T_FN, F_HYPOT, 0 , 2, 0, 0 , bltf_f_hypot, diffrule_f_hypot, "hypot(#1,#2)", 0, 0 , &pfi_hypot},
{ "pi" , T_FN, F_VPI , 0 , 0, 0, 0 , bltf_o_vpi , diffrule_f_vpi , "pi()" , 0, 0 , &pfi_vpi },
{ NULL , 0 , 0 , 0 , 0, 0, 0 , NULL , NULL , NULL , 0, 0 , NULL },
};
psnlfit psnlfit_list_builtin_interpolators[]=
{
{ "ilinear" , T_FN, F_ILINEAR , 0 , 3, 0, 0 , bltf_f_ilinear , diffrule_f_ilinear , "ilinear(#1,#2,#3)" , 0, 0 , &pfi_ilinear },
{ "ilinear_dx" , T_FN, F_ILINEAR_DX , 0 , 3, 0, 0 , bltf_f_ilinear_dx , NULL , "ilinear_dx(#1,#2,#3)" , 0, 0 , NULL },
{ "ispline" , T_FN, F_ISPLINE , 0 , 3, 0, 0 , bltf_f_ispline , diffrule_f_ispline , "ispline(#1,#2,#3)" , 0, 0 , &pfi_ispline },
{ "ispline_dx" , T_FN, F_ISPLINE_DX , 0 , 3, 0, 0 , bltf_f_ispline_dx , NULL , "ispline_dx(#1,#2,#3)" , 0, 0 , NULL },
{ "icyspline" , T_FN, F_ICYSPLINE , 0 , 2, 0, 0 , bltf_f_icyspline , diffrule_f_icyspline, "icyspline(#1,#2)" , 0, 0 , &pfi_icyspline },
{ "icyspline_dx", T_FN, F_ICYSPLINE_DX, 0 , 2, 0, 0 , bltf_f_icyspline_dx, NULL , "icyspline_dx(#1,#2)" , 0, 0 , NULL },
{ NULL , 0 , 0 , 0 , 0, 0, 0 , NULL , NULL , NULL , 0, 0 , NULL },
};
psnlfit psnlfit_list_builtin_aa_functions[]=
{
{ "jbessel", T_FN, F_JBESSEL, 0, 2, 0, 0, bltf_f_jbessel, diffrule_f_jbessel , "jbessel(#1,#2)", 0, 0 , &pfi_jbessel },
{ "ybessel", T_FN, F_YBESSEL, 0, 2, 0, 0, bltf_f_ybessel, diffrule_f_ybessel , "ybessel(#1,#2)", 0, 0 , &pfi_ybessel },
{ NULL , 0 , 0 , 0, 0, 0, 0, NULL , NULL , NULL , 0, 0 , NULL }
};
/*****************************************************************************/
/* If 'lfit' is the part of the 'fi' package, we register some extra */
/* functions, declared and defined in xfunct.[ch]. */
/*****************************************************************************/
#if defined _FITSH_SOURCE || defined _ASTRO_EXTEN
#define F_EOQ 96 /* eoq(), eccentric offset */
#define F_EOP 97 /* eop(), eccentric offset */
#define F_ETC 98 /* etc(), eccentric trig. */
#define F_ETS 99 /* ets(), eccentric trig. */
#define F_ELL_K 100 /* E() , ell. integral, 1st */
#define F_ELL_E 101 /* K() , ell. integral, 2nd */
#define F_ELL_PI 102 /* Pi(), ell. integral, 3rd */
#define F_NTIU 104 /* ntiu(), norm. trans. int. */
#define F_NTIQ 105 /* ntiq(), norm. trans. int. */
#define F_NTIQ_DP 106 /* ntiq_diff(): [0] */
#define F_NTIQ_DZ 107 /* ntiq_diff(): [1] */
#define F_NTIQ_DG1 108 /* ntiq_diff(): [2] */
#define F_NTIQ_DG2 109 /* ntiq_diff(): [3] */
#define F_HJD 110 /* hjd(), helocentric JD */
#define F_BJD 111 /* bjd(), barycentric JD */
static int funct_f_eoq(double *s)
{ s-=3;
*s=eccentric_offset_q(*s,*(s+1),*(s+2));
return(0);
}
static short diffrule_f_eoq[]=
{ SS_N3,SS_N2,SS_N1,F_EOP,SS_N3,O_ADD,F_COS,SS_N2,O_SUB,SS_D2,O_MUL,
SS_N3,SS_N2,SS_N1,F_EOP,SS_N3,O_ADD,F_SIN,SS_N1,O_SUB,SS_D1,O_MUL,O_ADD,
SS_N3,SS_N2,SS_N1,F_EOP,SS_D3,O_MUL,O_SUB,
CON_1,SS_N3,SS_N2,SS_N1,F_EOQ,O_SUB,O_DIV,0
};
static int funct_f_eop(double *s)
{ s-=3;
*s=eccentric_offset_p(*s,*(s+1),*(s+2));
return(0);
}
static short diffrule_f_eop[]=
{ SS_N3,SS_N2,SS_N1,F_EOP,SS_N3,O_ADD,F_SIN,SS_D2,O_MUL,
SS_N3,SS_N2,SS_N1,F_EOP,SS_N3,O_ADD,F_COS,SS_D1,O_MUL,O_SUB,
SS_N3,SS_N2,SS_N1,F_EOQ,SS_D3,O_MUL,O_ADD,
CON_1,SS_N3,SS_N2,SS_N1,F_EOQ,O_SUB,O_DIV,0
};
static int funct_f_etc(double *s)
{ s-=3;
*s=cos((*s)+eccentric_offset_p(*s,*(s+1),*(s+2)));
return(0);
}
static short diffrule_f_etc[]=
{ SS_N3,SS_N2,SS_N1,F_ETS,O_CHS,SS_D3,O_MUL,
SS_N3,SS_N2,SS_N1,F_ETS,O_PSQ,SS_D2,O_MUL,O_SUB,
SS_N3,SS_N2,SS_N1,F_ETS,SS_N3,SS_N2,SS_N1,F_ETC,O_MUL,SS_D1,O_MUL,O_ADD,
CON_1,SS_N3,SS_N2,SS_N1,F_EOQ,O_SUB,O_DIV,0
};
static int funct_f_ets(double *s)
{ s-=3;
*s=sin((*s)+eccentric_offset_p(*s,*(s+1),*(s+2)));
return(0);
}
static short diffrule_f_ets[]=
{ SS_N3,SS_N2,SS_N1,F_ETC,SS_D3,O_MUL,
SS_N3,SS_N2,SS_N1,F_ETS,SS_N3,SS_N2,SS_N1,F_ETC,O_MUL,SS_D2,O_MUL,O_ADD,
SS_N3,SS_N2,SS_N1,F_ETC,O_PSQ,SS_D1,O_MUL,O_SUB,
CON_1,SS_N3,SS_N2,SS_N1,F_EOQ,O_SUB,O_DIV,0
};
static int funct_f_ntiu(double *s)
{ s-=2;
*s=1.0-ntiq(*s,*(s+1),0.0,0.0);
return(0);
}
static short diffrule_f_ntiq[]=
{ SS_N4,SS_N3,SS_N2,SS_N1,F_NTIQ_DP ,SS_D4,O_MUL,
SS_N4,SS_N3,SS_N2,SS_N1,F_NTIQ_DZ ,SS_D3,O_MUL,O_ADD,
SS_N4,SS_N3,SS_N2,SS_N1,F_NTIQ_DG1,SS_D2,O_MUL,O_ADD,
SS_N4,SS_N3,SS_N2,SS_N1,F_NTIQ_DG2,SS_D1,O_MUL,O_ADD,0
};
static int funct_f_ntiq_diff(double *s,double *out)
{ static double st_args[4]={1,5,0,0},st_diff[5]={0,0,0,0,0};
if ( memcmp(s,st_args,sizeof(double)*4) != 0 )
{ memcpy(st_args,s,sizeof(double)*4);
st_diff[4]=ntiq_diff(s[0],s[1],s[2],s[3],st_diff);
}
memcpy(out,st_diff,sizeof(double)*5);
return(0);
}
static int funct_f_ntiq(double *s)
{ double st_diff[5];
s-=4;
funct_f_ntiq_diff(s,st_diff);
*s=(1.0-st_diff[4]);
return(0);
}
static int funct_f_ntiq_dp(double *s)
{ double st_diff[5];
s-=4;
funct_f_ntiq_diff(s,st_diff);
*s=(-st_diff[0]);
return(0);
}
static int funct_f_ntiq_dz(double *s)
{ double st_diff[5];
s-=4;
funct_f_ntiq_diff(s,st_diff);
*s=(-st_diff[1]);
return(0);
}
static int funct_f_ntiq_dg1(double *s)
{ double st_diff[5];
s-=4;
funct_f_ntiq_diff(s,st_diff);
*s=(-st_diff[2]);
return(0);
}
static int funct_f_ntiq_dg2(double *s)
{ double st_diff[5];
s-=4;
funct_f_ntiq_diff(s,st_diff);
*s=(-st_diff[3]);
return(0);
}
static int funct_f_hjd(double *s)
{ s-=3;
*s=get_hjd(*s,*(s+1),*(s+2));
return(0);
}
static int funct_f_bjd(double *s)
{ s-=3;
*s=get_bjd(*s,*(s+1),*(s+2));
return(0);
}
static int funct_f_elliptic_k(double *s)
{
s-=1;
if ( fabs(*s) < 1.0 )
{ *s=elliptic_complete_first(*s);
return(0);
}
else
return(1);
}
static int funct_f_elliptic_e(double *s)
{
s-=1;
if ( fabs(*s) <= 1.0 )
{ *s=elliptic_complete_second(*s);
return(0);
}
else
return(1);
}
static int funct_f_elliptic_pi(double *s)
{
s-=2;
if ( *s < 1.0 && fabs(*(s+1)) < 1.0 )
{ *s=elliptic_complete_third(*s,*(s+1));
return(0);
}
else
return(1);
}
static psnfunctinfo pfi_eoq = { "eccentric offset function, `q` component (arguments: mean longitude in radians, k and h Lagrangian elements)" };
static psnfunctinfo pfi_eop = { "eccentric offset function, `p` component (arguments: mean longitude in radians, k and h Lagrangian elements)" };
static psnfunctinfo pfi_etc = { "eccentric trigonometric function, cosine component (arguments: mean longitude in radians, k and h Lagrangian elements)" };
static psnfunctinfo pfi_ets = { "eccentric trigonometric function, sine component (arguments: mean longitude in radians, k and h Lagrangian elements)" };
static psnfunctinfo pfi_ntiu = { "normalized transit intensity - uniform flux distribution (arguments: fractional radius, normalized distance)" };
static psnfunctinfo pfi_ntiq = { "normalized transit intensity - quadratic limb darkening assumption (arguments: fracional radius, normalized distance, the two limb darkening coefficients)" };
static psnfunctinfo pfi_hjd = { "heliocentric Julian date (arguments: julian day, RA and DEC, in degrees)" };
static psnfunctinfo pfi_bjd = { "barycentric Julian date (arguments: julian day, RA and DEC, in degrees)" };
static psnfunctinfo pfi_ell_k = { "complete elliptic integral of the first kind" };
static psnfunctinfo pfi_ell_e = { "complete elliptic integral of the second kind" };
static psnfunctinfo pfi_ell_pi = { "complete elliptic integral of the third kind" };
psnlfit psnlfit_list_builtin_xfuncts[]=
{
{ "eoq" , T_FN, F_EOQ , 0 , 3, 0, 0 , funct_f_eoq , diffrule_f_eoq , "eoq(#1,#2,#3)" , 0, 0 , &pfi_eoq },
{ "eop" , T_FN, F_EOP , 0 , 3, 0, 0 , funct_f_eop , diffrule_f_eop , "eop(#1,#2,#3)" , 0, 0 , &pfi_eop },
{ "etc" , T_FN, F_ETC , 0 , 3, 0, 0 , funct_f_etc , diffrule_f_etc , "etc(#1,#2,#3)" , 0, 0 , &pfi_etc },
{ "ets" , T_FN, F_ETS , 0 , 3, 0, 0 , funct_f_ets , diffrule_f_ets , "ets(#1,#2,#3)" , 0, 0 , &pfi_ets },
{ "ntiu" , T_FN, F_NTIU , 0 , 2, 0, 0 , funct_f_ntiu , NULL , "ntiu(#1,#2)" , 0, 0 , &pfi_ntiu },
{ "ntiq" , T_FN, F_NTIQ , 0 , 4, 0, 0 , funct_f_ntiq , diffrule_f_ntiq , "ntiq(#1,#2,#3,#4)" , 0, 0 , &pfi_ntiq },
{ "ntiq_dp" , T_FN, F_NTIQ_DP , 0 , 4, 0, 0 , funct_f_ntiq_dp , NULL , "ntiq_dp(#1,#2,#3,#4)" , 0, 0 , NULL },
{ "ntiq_dz" , T_FN, F_NTIQ_DZ , 0 , 4, 0, 0 , funct_f_ntiq_dz , NULL , "ntiq_dz(#1,#2,#3,#4)" , 0, 0 , NULL },
{ "ntiq_dg1" , T_FN, F_NTIQ_DG1, 0 , 4, 0, 0 , funct_f_ntiq_dg1 , NULL , "ntiq_dg1(#1,#2,#3,#4)", 0, 0 , NULL },
{ "ntiq_dg2" , T_FN, F_NTIQ_DG2, 0 , 4, 0, 0 , funct_f_ntiq_dg2 , NULL , "ntiq_dg2(#1,#2,#3,#4)", 0, 0 , NULL },
{ "hjd" , T_FN, F_HJD , 0 , 3, 0, 0 , funct_f_hjd , NULL , "hjd(#1,#2,#3)" , 0, 0 , &pfi_hjd },
{ "bjd" , T_FN, F_BJD , 0 , 3, 0, 0 , funct_f_bjd , NULL , "bjd(#1,#2,#3)" , 0, 0 , &pfi_bjd },
{ "ellipticK" , T_FN, F_ELL_K , 0 , 1, 0, 0 , funct_f_elliptic_k , NULL , "ellipticK(#1)" , 0, 0 , &pfi_ell_k },
{ "ellipticE" , T_FN, F_ELL_E , 0 , 1, 0, 0 , funct_f_elliptic_e , NULL , "ellipticE(#1)" , 0, 0 , &pfi_ell_e },
{ "ellipticPi", T_FN, F_ELL_PI , 0 , 2, 0, 0 , funct_f_elliptic_pi, NULL , "ellipticPi(#1)" , 0, 0 , &pfi_ell_pi },
{ NULL , 0 , 0 , 0 , 0, 0, 0 , NULL , NULL , NULL , 0, 0 , NULL }
};
#endif
/*****************************************************************************/
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