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+/* multiroots/gsl_multiroots.h
+ *
+ * Copyright (C) 1996, 1997, 1998, 1999, 2000, 2007 Brian Gough
+ *
+ * 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., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
+ */
+
+#ifndef __GSL_MULTIROOTS_H__
+#define __GSL_MULTIROOTS_H__
+
+#include <stdlib.h>
+#include <gsl/gsl_types.h>
+#include <gsl/gsl_math.h>
+#include <gsl/gsl_vector.h>
+#include <gsl/gsl_matrix.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
+
+/* Definition of vector-valued functions with parameters based on gsl_vector */
+
+struct gsl_multiroot_function_struct
+{
+ int (* f) (const gsl_vector * x, void * params, gsl_vector * f);
+ size_t n;
+ void * params;
+};
+
+typedef struct gsl_multiroot_function_struct gsl_multiroot_function ;
+
+#define GSL_MULTIROOT_FN_EVAL(F,x,y) (*((F)->f))(x,(F)->params,(y))
+
+int gsl_multiroot_fdjacobian (gsl_multiroot_function * F,
+ const gsl_vector * x, const gsl_vector * f,
+ double epsrel, gsl_matrix * jacobian);
+
+
+typedef struct
+ {
+ const char *name;
+ size_t size;
+ int (*alloc) (void *state, size_t n);
+ int (*set) (void *state, gsl_multiroot_function * function, gsl_vector * x, gsl_vector * f, gsl_vector * dx);
+ int (*iterate) (void *state, gsl_multiroot_function * function, gsl_vector * x, gsl_vector * f, gsl_vector * dx);
+ void (*free) (void *state);
+ }
+gsl_multiroot_fsolver_type;
+
+typedef struct
+ {
+ const gsl_multiroot_fsolver_type * type;
+ gsl_multiroot_function * function ;
+ gsl_vector * x ;
+ gsl_vector * f ;
+ gsl_vector * dx ;
+ void *state;
+ }
+gsl_multiroot_fsolver;
+
+gsl_multiroot_fsolver *
+gsl_multiroot_fsolver_alloc (const gsl_multiroot_fsolver_type * T,
+ size_t n);
+
+void gsl_multiroot_fsolver_free (gsl_multiroot_fsolver * s);
+
+int gsl_multiroot_fsolver_set (gsl_multiroot_fsolver * s,
+ gsl_multiroot_function * f,
+ const gsl_vector * x);
+
+int gsl_multiroot_fsolver_iterate (gsl_multiroot_fsolver * s);
+
+const char * gsl_multiroot_fsolver_name (const gsl_multiroot_fsolver * s);
+gsl_vector * gsl_multiroot_fsolver_root (const gsl_multiroot_fsolver * s);
+gsl_vector * gsl_multiroot_fsolver_dx (const gsl_multiroot_fsolver * s);
+gsl_vector * gsl_multiroot_fsolver_f (const gsl_multiroot_fsolver * s);
+
+/* Definition of vector-valued functions and gradient with parameters
+ based on gsl_vector */
+
+struct gsl_multiroot_function_fdf_struct
+{
+ int (* f) (const gsl_vector * x, void * params, gsl_vector * f);
+ int (* df) (const gsl_vector * x, void * params, gsl_matrix * df);
+ int (* fdf) (const gsl_vector * x, void * params, gsl_vector * f, gsl_matrix *df);
+ size_t n;
+ void * params;
+};
+
+typedef struct gsl_multiroot_function_fdf_struct gsl_multiroot_function_fdf ;
+
+#define GSL_MULTIROOT_FN_EVAL_F(F,x,y) ((*((F)->f))(x,(F)->params,(y)))
+#define GSL_MULTIROOT_FN_EVAL_DF(F,x,dy) ((*((F)->df))(x,(F)->params,(dy)))
+#define GSL_MULTIROOT_FN_EVAL_F_DF(F,x,y,dy) ((*((F)->fdf))(x,(F)->params,(y),(dy)))
+
+typedef struct
+ {
+ const char *name;
+ size_t size;
+ int (*alloc) (void *state, size_t n);
+ int (*set) (void *state, gsl_multiroot_function_fdf * fdf, gsl_vector * x, gsl_vector * f, gsl_matrix * J, gsl_vector * dx);
+ int (*iterate) (void *state, gsl_multiroot_function_fdf * fdf, gsl_vector * x, gsl_vector * f, gsl_matrix * J, gsl_vector * dx);
+ void (*free) (void *state);
+ }
+gsl_multiroot_fdfsolver_type;
+
+typedef struct
+ {
+ const gsl_multiroot_fdfsolver_type * type;
+ gsl_multiroot_function_fdf * fdf ;
+ gsl_vector * x;
+ gsl_vector * f;
+ gsl_matrix * J;
+ gsl_vector * dx;
+ void *state;
+ }
+gsl_multiroot_fdfsolver;
+
+gsl_multiroot_fdfsolver *
+gsl_multiroot_fdfsolver_alloc (const gsl_multiroot_fdfsolver_type * T,
+ size_t n);
+
+int
+gsl_multiroot_fdfsolver_set (gsl_multiroot_fdfsolver * s,
+ gsl_multiroot_function_fdf * fdf,
+ const gsl_vector * x);
+
+int
+gsl_multiroot_fdfsolver_iterate (gsl_multiroot_fdfsolver * s);
+
+void
+gsl_multiroot_fdfsolver_free (gsl_multiroot_fdfsolver * s);
+
+const char * gsl_multiroot_fdfsolver_name (const gsl_multiroot_fdfsolver * s);
+gsl_vector * gsl_multiroot_fdfsolver_root (const gsl_multiroot_fdfsolver * s);
+gsl_vector * gsl_multiroot_fdfsolver_dx (const gsl_multiroot_fdfsolver * s);
+gsl_vector * gsl_multiroot_fdfsolver_f (const gsl_multiroot_fdfsolver * s);
+
+int gsl_multiroot_test_delta (const gsl_vector * dx, const gsl_vector * x,
+ double epsabs, double epsrel);
+
+int gsl_multiroot_test_residual (const gsl_vector * f, double epsabs);
+
+GSL_VAR const gsl_multiroot_fsolver_type * gsl_multiroot_fsolver_dnewton;
+GSL_VAR const gsl_multiroot_fsolver_type * gsl_multiroot_fsolver_broyden;
+GSL_VAR const gsl_multiroot_fsolver_type * gsl_multiroot_fsolver_hybrid;
+GSL_VAR const gsl_multiroot_fsolver_type * gsl_multiroot_fsolver_hybrids;
+
+GSL_VAR const gsl_multiroot_fdfsolver_type * gsl_multiroot_fdfsolver_newton;
+GSL_VAR const gsl_multiroot_fdfsolver_type * gsl_multiroot_fdfsolver_gnewton;
+GSL_VAR const gsl_multiroot_fdfsolver_type * gsl_multiroot_fdfsolver_hybridj;
+GSL_VAR const gsl_multiroot_fdfsolver_type * gsl_multiroot_fdfsolver_hybridsj;
+
+
+__END_DECLS
+
+#endif /* __GSL_MULTIROOTS_H__ */