| /* integration/gsl_integration.h |
| * |
| * Copyright (C) 1996, 1997, 1998, 1999, 2000 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 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., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. |
| */ |
| |
| #ifndef __GSL_INTEGRATION_H__ |
| #define __GSL_INTEGRATION_H__ |
| #include <stdlib.h> |
| #include <gsl/gsl_math.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 |
| |
| /* Workspace for adaptive integrators */ |
| |
| typedef struct |
| { |
| size_t limit; |
| size_t size; |
| size_t nrmax; |
| size_t i; |
| size_t maximum_level; |
| double *alist; |
| double *blist; |
| double *rlist; |
| double *elist; |
| size_t *order; |
| size_t *level; |
| } |
| gsl_integration_workspace; |
| |
| gsl_integration_workspace * |
| gsl_integration_workspace_alloc (const size_t n); |
| |
| void |
| gsl_integration_workspace_free (gsl_integration_workspace * w); |
| |
| |
| /* Workspace for QAWS integrator */ |
| |
| typedef struct |
| { |
| double alpha; |
| double beta; |
| int mu; |
| int nu; |
| double ri[25]; |
| double rj[25]; |
| double rg[25]; |
| double rh[25]; |
| } |
| gsl_integration_qaws_table; |
| |
| gsl_integration_qaws_table * |
| gsl_integration_qaws_table_alloc (double alpha, double beta, int mu, int nu); |
| |
| int |
| gsl_integration_qaws_table_set (gsl_integration_qaws_table * t, |
| double alpha, double beta, int mu, int nu); |
| |
| void |
| gsl_integration_qaws_table_free (gsl_integration_qaws_table * t); |
| |
| /* Workspace for QAWO integrator */ |
| |
| enum gsl_integration_qawo_enum { GSL_INTEG_COSINE, GSL_INTEG_SINE }; |
| |
| typedef struct |
| { |
| size_t n; |
| double omega; |
| double L; |
| double par; |
| enum gsl_integration_qawo_enum sine; |
| double *chebmo; |
| } |
| gsl_integration_qawo_table; |
| |
| gsl_integration_qawo_table * |
| gsl_integration_qawo_table_alloc (double omega, double L, |
| enum gsl_integration_qawo_enum sine, |
| size_t n); |
| |
| int |
| gsl_integration_qawo_table_set (gsl_integration_qawo_table * t, |
| double omega, double L, |
| enum gsl_integration_qawo_enum sine); |
| |
| int |
| gsl_integration_qawo_table_set_length (gsl_integration_qawo_table * t, |
| double L); |
| |
| void |
| gsl_integration_qawo_table_free (gsl_integration_qawo_table * t); |
| |
| |
| /* Definition of an integration rule */ |
| |
| typedef void gsl_integration_rule (const gsl_function * f, |
| double a, double b, |
| double *result, double *abserr, |
| double *defabs, double *resabs); |
| |
| void gsl_integration_qk15 (const gsl_function * f, double a, double b, |
| double *result, double *abserr, |
| double *resabs, double *resasc); |
| |
| void gsl_integration_qk21 (const gsl_function * f, double a, double b, |
| double *result, double *abserr, |
| double *resabs, double *resasc); |
| |
| void gsl_integration_qk31 (const gsl_function * f, double a, double b, |
| double *result, double *abserr, |
| double *resabs, double *resasc); |
| |
| void gsl_integration_qk41 (const gsl_function * f, double a, double b, |
| double *result, double *abserr, |
| double *resabs, double *resasc); |
| |
| void gsl_integration_qk51 (const gsl_function * f, double a, double b, |
| double *result, double *abserr, |
| double *resabs, double *resasc); |
| |
| void gsl_integration_qk61 (const gsl_function * f, double a, double b, |
| double *result, double *abserr, |
| double *resabs, double *resasc); |
| |
| void gsl_integration_qcheb (gsl_function * f, double a, double b, |
| double *cheb12, double *cheb24); |
| |
| /* The low-level integration rules in QUADPACK are identified by small |
| integers (1-6). We'll use symbolic constants to refer to them. */ |
| |
| enum |
| { |
| GSL_INTEG_GAUSS15 = 1, /* 15 point Gauss-Kronrod rule */ |
| GSL_INTEG_GAUSS21 = 2, /* 21 point Gauss-Kronrod rule */ |
| GSL_INTEG_GAUSS31 = 3, /* 31 point Gauss-Kronrod rule */ |
| GSL_INTEG_GAUSS41 = 4, /* 41 point Gauss-Kronrod rule */ |
| GSL_INTEG_GAUSS51 = 5, /* 51 point Gauss-Kronrod rule */ |
| GSL_INTEG_GAUSS61 = 6 /* 61 point Gauss-Kronrod rule */ |
| }; |
| |
| void |
| gsl_integration_qk (const int n, const double xgk[], |
| const double wg[], const double wgk[], |
| double fv1[], double fv2[], |
| const gsl_function *f, double a, double b, |
| double * result, double * abserr, |
| double * resabs, double * resasc); |
| |
| |
| int gsl_integration_qng (const gsl_function * f, |
| double a, double b, |
| double epsabs, double epsrel, |
| double *result, double *abserr, |
| size_t * neval); |
| |
| int gsl_integration_qag (const gsl_function * f, |
| double a, double b, |
| double epsabs, double epsrel, size_t limit, |
| int key, |
| gsl_integration_workspace * workspace, |
| double *result, double *abserr); |
| |
| int gsl_integration_qagi (gsl_function * f, |
| double epsabs, double epsrel, size_t limit, |
| gsl_integration_workspace * workspace, |
| double *result, double *abserr); |
| |
| int gsl_integration_qagiu (gsl_function * f, |
| double a, |
| double epsabs, double epsrel, size_t limit, |
| gsl_integration_workspace * workspace, |
| double *result, double *abserr); |
| |
| int gsl_integration_qagil (gsl_function * f, |
| double b, |
| double epsabs, double epsrel, size_t limit, |
| gsl_integration_workspace * workspace, |
| double *result, double *abserr); |
| |
| |
| int gsl_integration_qags (const gsl_function * f, |
| double a, double b, |
| double epsabs, double epsrel, size_t limit, |
| gsl_integration_workspace * workspace, |
| double *result, double *abserr); |
| |
| int gsl_integration_qagp (const gsl_function * f, |
| double *pts, size_t npts, |
| double epsabs, double epsrel, size_t limit, |
| gsl_integration_workspace * workspace, |
| double *result, double *abserr); |
| |
| int gsl_integration_qawc (gsl_function *f, |
| const double a, const double b, const double c, |
| const double epsabs, const double epsrel, const size_t limit, |
| gsl_integration_workspace * workspace, |
| double * result, double * abserr); |
| |
| int gsl_integration_qaws (gsl_function * f, |
| const double a, const double b, |
| gsl_integration_qaws_table * t, |
| const double epsabs, const double epsrel, |
| const size_t limit, |
| gsl_integration_workspace * workspace, |
| double *result, double *abserr); |
| |
| int gsl_integration_qawo (gsl_function * f, |
| const double a, |
| const double epsabs, const double epsrel, |
| const size_t limit, |
| gsl_integration_workspace * workspace, |
| gsl_integration_qawo_table * wf, |
| double *result, double *abserr); |
| |
| int gsl_integration_qawf (gsl_function * f, |
| const double a, |
| const double epsabs, |
| const size_t limit, |
| gsl_integration_workspace * workspace, |
| gsl_integration_workspace * cycle_workspace, |
| gsl_integration_qawo_table * wf, |
| double *result, double *abserr); |
| |
| __END_DECLS |
| |
| #endif /* __GSL_INTEGRATION_H__ */ |
