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/*****************************************************************************/
/* cmath.c */
/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
/* Common basic functions used by other modules. */
/* This part of the library (cmath.[ch]) is standalone. */
/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
/* (c) 2003-2006, Pal A. (apal@szofi.elte.hu). */
/*****************************************************************************/
#include <stdio.h>
#include <math.h>
#include <astro/cmath.h>
#ifndef M_PI
#define M_PI 3.1415926535897932384626433832795028841968
#endif
/*****************************************************************************/
double sina(double x) { return(sin(x*M_PI/180.0)); }
double cosa(double x) { return(cos(x*M_PI/180.0)); }
double asina(double x) { return(asin(x)*180.0/M_PI); }
double acosa(double x) { return(acos(x)*180.0/M_PI); }
/*****************************************************************************/
void rotate(double *x,double *y,double phi)
{
double wx,wy;
phi=phi*M_PI/180.0;
wx=(*x)*cos(phi)-(*y)*sin(phi);
wy=(*x)*sin(phi)+(*y)*cos(phi);
*x=wx,*y=wy;
}
double getpcoords(double x,double y)
{
if ( x==0 && y==0 ) return(0.0);
x=atan2(y,x)*180.0/M_PI;
if ( x<0.0 ) x+=360.0;
return(x);
}
void get3dpcoords(double x,double y,double z,double *longi,double *latit)
{
double r;
r=sqrt(x*x+y*y+z*z);
if ( r==0.0 ) *latit=*longi=0;
else *latit=asina(z/r),*longi=getpcoords(x,y);
}
double get_angular_distance(double lon1,double lat1,double lon2,double lat2)
{
double d,r;
d=sina(lat1)*sina(lat2)+cosa(lat1)*cosa(lat2)*cosa(lon1-lon2);
if ( d>1.0 ) r=0.0;
else if ( d<-1.0 ) r=180.0;
else r=acosa(d);
return(r);
}
/*****************************************************************************/
double hypot3d(double x,double y,double z)
{
return( sqrt(x*x+y*y+z*z) );
}
/*
double solve_kepler_equ(double m,double ex)
{
double e,e0;
int n;
e=m+ex*sin(m)/(1-sin(m+ex)+sin(m));
for ( n=15,e0=0.0 ; e != e0 && n>0 ; n-- )
{ e0=e;
e=e+(m+ex*sin(e)-e)/(1-ex*cos(e));
};
return(e);
}
*/
double solve_kepler_equ(double m,double e)
{
double s,d,d0;
int n;
s=sin(m);
if ( s==0.0 )
return(m);
else if ( e>=0.8 && s*s<0.1 && cos(m)>0.0 )
{ if ( s>0 ) d=+pow(+6*s,1.0/3.0);
else d=-pow(-6*s,1.0/3.0);
}
else
{ d=e*s/(1-sin(m+e)+s);
if ( d<-e ) d=-e;
else if ( d>e ) d=+e;
}
for ( n=15,d0=0.0 ; d != d0 && n>0 ; n-- )
{ d0=d;
d=d-(d-e*sin(m+d))/(1-e*cos(m+d));
};
return(m+d);
}
/*****************************************************************************/
void matrix_rotation(matrix m,int ax,double fi)
{
int i,j,vi,vj;
double cfi,sfi;
cfi=cosa(fi),sfi=sina(fi);
ax=ax%3;
for ( i=0 ; i<3 ; i++ )
{ for ( j=0 ; j<3 ; j++ )
{ vi=(i-ax+3)%3,vj=(j-ax+3)%3;
if ( vi==0 && vj==0 ) m[i][j]=1.0;
else if ( vi==0 || vj==0 ) m[i][j]=0.0;
else if ( vi==vj ) m[i][j]=cfi;
else if ( vi==1 ) m[i][j]=-sfi;
else m[i][j]=+sfi;
}
}
}
void matrix_mul(matrix r,matrix m1,matrix m2) /* r = m1 * m2 ... */
{
int i,j;
matrix w;
for ( i=0 ; i<3 ; i++ )
{ for ( j=0 ; j<3 ; j++ )
w[i][j]=m1[i][0]*m2[0][j]+m1[i][1]*m2[1][j]+m1[i][2]*m2[2][j];
}
for ( i=0 ; i<3 ; i++ )
{ for ( j=0 ; j<3 ; j++ )
r[i][j]=w[i][j];
}
}
/*****************************************************************************/
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