double elliptic_ea ( double a );
void elliptic_ea_values ( int *n_data, double *x, double *fx );
double elliptic_ek ( double k );
void elliptic_ek_values ( int *n_data, double *x, double *fx );
double elliptic_em ( double m );
void elliptic_em_values ( int *n_data, double *x, double *fx );
double elliptic_fa ( double a );
void elliptic_fa_values ( int *n_data, double *x, double *fx );
double elliptic_fk ( double k );
void elliptic_fk_values ( int *n_data, double *x, double *fx );
double elliptic_fm ( double m );
void elliptic_fm_values ( int *n_data, double *x, double *fx );
double elliptic_inc_ea ( double phi, double a );
void elliptic_inc_ea_values ( int *n_data, double *phi, double *a, double *ea );
double elliptic_inc_ek ( double phi, double k );
void elliptic_inc_ek_values ( int *n_data, double *phi, double *k, double *ek );
double elliptic_inc_em ( double phi, double m );
void elliptic_inc_em_values ( int *n_data, double *phi, double *m, double *em );
double elliptic_inc_fa ( double phi, double a );
void elliptic_inc_fa_values ( int *n_data, double *phi, double *a, double *fa );
double elliptic_inc_fk ( double phi, double k );
void elliptic_inc_fk_values ( int *n_data, double *phi, double *k, double *fk );
double elliptic_inc_fm ( double phi, double m );
void elliptic_inc_fm_values ( int *n_data, double *phi, double *m, double *fm );
double elliptic_inc_pia ( double phi, double n, double a );
void elliptic_inc_pia_values ( int *n_data, double *phi, double *n, double *a, 
  double *pia );
double elliptic_inc_pik ( double phi, double n, double k );
void elliptic_inc_pik_values ( int *n_data, double *phi, double *n, double *k, 
  double *pik );
double elliptic_inc_pim ( double phi, double n, double m );
void elliptic_inc_pim_values ( int *n_data, double *phi, double *n, double *m, 
  double *pim );
double elliptic_pia ( double n, double a );
void elliptic_pia_values ( int *n_data, double *n, double *a, double *pia );
double elliptic_pik ( double n, double k );
void elliptic_pik_values ( int *n_data, double *n, double *k, double *pik );
double elliptic_pim ( double n, double m );
void elliptic_pim_values ( int *n_data, double *n, double *m, double *pim );
double jacobi_cn ( double u, double m );
void jacobi_cn_values ( int *n_data, double *u, double *a, double *k,
  double *m, double *fx );
double jacobi_dn ( double u, double m );
void jacobi_dn_values ( int *n_data, double *u, double *a, double *k,
  double *m, double *fx );
double jacobi_sn ( double u, double m );
void jacobi_sn_values ( int *n_data, double *u, double *a, double *k,
  double *m, double *fx );
double rc ( double x, double y, double errtol, int *ierr );
double rd ( double x, double y, double z, double errtol, int *ierr );
double rf ( double x, double y, double z, double errtol, int *ierr );
double rj ( double x, double y, double z, double p, double errtol, int *ierr );
void sncndn ( double u, double m, double *sn, double *cn, double *dn );
void timestamp ( );