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Diffstat (limited to 'gsl-1.9/specfunc/gsl_sf_mathieu.h')
| -rw-r--r-- | gsl-1.9/specfunc/gsl_sf_mathieu.h | 107 |
1 files changed, 107 insertions, 0 deletions
diff --git a/gsl-1.9/specfunc/gsl_sf_mathieu.h b/gsl-1.9/specfunc/gsl_sf_mathieu.h new file mode 100644 index 0000000..705c466 --- /dev/null +++ b/gsl-1.9/specfunc/gsl_sf_mathieu.h @@ -0,0 +1,107 @@ +/* specfunc/gsl_sf_mathieu.h + * + * Copyright (C) 2002 Lowell Johnson + * + * This program is free software; you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation; either version 2 of the License, or (at + * your option) any later version. + * + * This program is distributed in the hope that it will be useful, but + * WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program; if not, write to the Free Software + * Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. + */ + +/* Author: L. Johnson */ + +#ifndef __GSL_SF_MATHIEU_H__ +#define __GSL_SF_MATHIEU_H__ + +#include <gsl/gsl_sf_result.h> +#include <gsl/gsl_eigen.h> + +#undef __BEGIN_DECLS +#undef __END_DECLS +#ifdef __cplusplus +# define __BEGIN_DECLS extern "C" { +# define __END_DECLS } +#else +# define __BEGIN_DECLS /* empty */ +# define __END_DECLS /* empty */ +#endif + +__BEGIN_DECLS + +#define GSL_SF_MATHIEU_COEFF 100 + +typedef struct +{ + size_t size; + size_t even_order; + size_t odd_order; + int extra_values; + double qa; /* allow for caching of results: not implemented yet */ + double qb; /* allow for caching of results: not implemented yet */ + double *aa; + double *bb; + double *dd; + double *ee; + double *tt; + double *e2; + double *zz; + gsl_vector *eval; + gsl_matrix *evec; + gsl_eigen_symmv_workspace *wmat; +} gsl_sf_mathieu_workspace; + + +/* Compute an array of characteristic (eigen) values from the recurrence + matrices for the Mathieu equations. */ +int gsl_sf_mathieu_a_array(int order_min, int order_max, double qq, gsl_sf_mathieu_workspace *work, double result_array[]); +int gsl_sf_mathieu_b_array(int order_min, int order_max, double qq, gsl_sf_mathieu_workspace *work, double result_array[]); + +/* Compute the characteristic value for a Mathieu function of order n and + type ntype. */ +int gsl_sf_mathieu_a(int order, double qq, gsl_sf_result *result); +int gsl_sf_mathieu_b(int order, double qq, gsl_sf_result *result); + +/* Compute the Fourier coefficients for a Mathieu function. */ +int gsl_sf_mathieu_a_coeff(int order, double qq, double aa, double coeff[]); +int gsl_sf_mathieu_b_coeff(int order, double qq, double aa, double coeff[]); + +/* Allocate computational storage space for eigenvalue solution. */ +gsl_sf_mathieu_workspace *gsl_sf_mathieu_alloc(const size_t nn, + const double qq); +void gsl_sf_mathieu_free(gsl_sf_mathieu_workspace *workspace); + +/* Compute an angular Mathieu function. */ +int gsl_sf_mathieu_ce(int order, double qq, double zz, gsl_sf_result *result); +int gsl_sf_mathieu_se(int order, double qq, double zz, gsl_sf_result *result); +int gsl_sf_mathieu_ce_array(int nmin, int nmax, double qq, double zz, + gsl_sf_mathieu_workspace *work, + double result_array[]); +int gsl_sf_mathieu_se_array(int nmin, int nmax, double qq, double zz, + gsl_sf_mathieu_workspace *work, + double result_array[]); + +/* Compute a radial Mathieu function. */ +int gsl_sf_mathieu_Mc(int kind, int order, double qq, double zz, + gsl_sf_result *result); +int gsl_sf_mathieu_Ms(int kind, int order, double qq, double zz, + gsl_sf_result *result); +int gsl_sf_mathieu_Mc_array(int kind, int nmin, int nmax, double qq, + double zz, gsl_sf_mathieu_workspace *work, + double result_array[]); +int gsl_sf_mathieu_Ms_array(int kind, int nmin, int nmax, double qq, + double zz, gsl_sf_mathieu_workspace *work, + double result_array[]); + + +__END_DECLS + +#endif /* !__GSL_SF_MATHIEU_H__ */ |