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/*+++++++++
.Header trigo.h
.LANGUAGE C
.AUTHOR Francois Ochsenbein [ESO-IPG]
.KEYWORDS Trigonometric mathematical functions
.COMMENTS This header contains declarations for mathematical functions
and macros for spherical/hyperbolic transformations.
.VERSION 1.0 21-Oct-1985: Creation
.VERSION 1.1 05-Dec-1988: Transformed some macros to functions
----------------*/
#ifndef TRIGO_DEF
#define TRIGO_DEF 0
#include <math.h> /* Use system Math Library */
#include "compiler.h" /* If function templates are allowed */
/* constants */
#undef PI
#define PI 3.14159265358979325e0
#define DEG (180.e0/PI) /* radians to degrees */
/* =57.295779513082320e0 */
/*=========================================================================
1. Trigonometric functions
*=========================================================================*/
/* Standard: sin(x) cos(x) tan(x) sinh(x) cosh(x) tanh(x) */
/* Argument in degrees: */
#if _TEMPLATES_
double cosd (double x);
double sind (double x);
double tand (double x);
double acosd(double x);
double asind(double x);
double atand(double x);
double atan2d(double x, double y);
#else
double acosd(), asind(), atand(), atan2d();
double cosd(), sind(), tand();
#endif
/*=========================================================================
2. Spherical functions
*=========================================================================*/
#if _TEMPLATES_
int tr_ou (double o[2] , double u[3]);
int tr_uo (double u[3] , double o[2]);
int tr_uu (double u1[3], double u2[3], double R[3][3]);
int tr_uu1 (double u1[3], double u2[3], double R[3][3]);
int tr_Euler(double Euler_angles[3], double R[3][3] );
int prej_u (double u0[3], double u1[3], double eq0, double eq1 );
/* Surface of a `rectangle' on the sphere */
double surf_o (double o1[2], double o2[2]); /* Pos. in degrees */
double surf_p (double p1[2], double p2[2]); /* On gnomonic proj. */
/* Distances between two points on the sphere (degrees) */
double s2d_u (double u1[3], double u2[3]);
double s2d_o (double o1[2], double o2[2]);
double s2d_p (double p1[2], double p2[2]);
double dist_u (double u1[3], double u2[3]);
double dist_o (double o1[2], double o2[2]);
double dist_p (double p1[2], double p2[2]);
#else
double surf_o(), surf_p();
double s2d_o(), s2d_p(), s2d_u();
double dist_o(), dist_p(), dist_u();
#endif
/*=========================================================================
3. Other standard Math Functions
*=========================================================================*/
/* Standard: log(x) log10(x) exp(x) sqrt(x) */
/* Standard: hypoth(x,y)= sqrt(x*x + y*y) */
/* Standard: pow(x,y) = x**y */
#if _TEMPLATES_
double sinc (double x); /* sin(x)/x */
double asinc(double x); /* asin(x)/x */
double acosh(double x);
double asinh(double x);
double atanh(double x);
#else
double sinc(), asinc();
double acosh(), asinh(), atanh();
#endif
/*=========================================================================
4. Arithmetic operations
*=========================================================================*/
/* Standard: ceil(x) floor(x) fabs(x) */
/* Standard: fmod(x,y) = x%y, with same sign as x */
/* trigo functions in degrees*/
/*=========================================================================
5. Mantissa / Exponent Conversions
*=========================================================================*/
/* Standard: m = frexp (x, &e) Returns m and e such that x = m * 2**e
with |m| in range [0.5, 1[ */
/* Standard: y = ldexp (m, e) Returns y = m * 2**e */
/* Standard: f = modf (x, &E) Returns f and E (double) with x = E + f
f = fractional part with same
sign as x */
#endif
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