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-rw-r--r--thirdparty/includes/GSL/gsl/gsl_sf_mathieu.h113
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diff --git a/thirdparty/includes/GSL/gsl/gsl_sf_mathieu.h b/thirdparty/includes/GSL/gsl/gsl_sf_mathieu.h
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--- a/thirdparty/includes/GSL/gsl/gsl_sf_mathieu.h
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-/* 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 3 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_e(int order, double qq, gsl_sf_result *result);
-double gsl_sf_mathieu_a(int order, double qq);
-int gsl_sf_mathieu_b_e(int order, double qq, gsl_sf_result *result);
-double gsl_sf_mathieu_b(int order, double qq);
-
-/* 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_e(int order, double qq, double zz, gsl_sf_result *result);
-double gsl_sf_mathieu_ce(int order, double qq, double zz);
-int gsl_sf_mathieu_se_e(int order, double qq, double zz, gsl_sf_result *result);
-double gsl_sf_mathieu_se(int order, double qq, double zz);
-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_e(int kind, int order, double qq, double zz,
- gsl_sf_result *result);
-double gsl_sf_mathieu_Mc(int kind, int order, double qq, double zz);
-int gsl_sf_mathieu_Ms_e(int kind, int order, double qq, double zz,
- gsl_sf_result *result);
-double gsl_sf_mathieu_Ms(int kind, int order, double qq, double zz);
-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__ */