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fgsl.F90
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!-*-f90-*-
module fgsl
#include "config.h"
!-------------------------------------------------------------------------------
!> \mainpage
!> \brief Interface module for use of GSL from Fortran
!> \author R. Bader, T. Schoonjans
!> \details
!> Please see the <a href="pages.html">Related Pages</a> section
!> for the information about the conventions used in the interface.
!> Examples on how to use the interface are available in the
!> <p><b>doc/examples</b><p> subdirectory of the source package.
!> \page "Introduction"
!> <OL>
!> <LI> Introductory notes:
!> <UL>
!> <LI> In Fortran code, GSL_* must be replaced by FGSL_* for each API
!> call, abstract data type, module variables and parameters (with
!> exception of the M_* mathematical constants)
!> <LI> Some names were changed due to UC/LC aliasing. See the documentation
!> chapter on special functions for details.
!> <LI> Intrinsic type matching:
!> -# real(fgsl_double) is used for double precision values
!> -# real(fgsl_float) is used for single precision values
!> -# integer(fgsl_int) for integer
!> -# integer(fgsl_long) for long integer
!> -# integer(fgsl_size_t) for size_t integer
!> -# complex(fgsl_double_complex) for gsl_complex
!> -# character(fgsl_char) for characters
!> -# no value attributes and mostly no pointers in Fortran calls
!> -# unsigned int must be converted to integer(fgsl_long).
!> -# char * results are converted to fixed length strings. Use TRIM.
!> </UL>
!> <LI> Additional routines:
!> <UL>
!> <LI> Generic interface fgsl_well_defined for checking status of FGSL
!> objects (which are typically opaque).
!> <LI> See api/array.finc for array alignment routines.
!> <LI> See api/math.finc for function object constructors.
!> <LI> See api/io.finc for I/O related add-ons.
!> </UL>
!> <LI> Structure of the documentation:
!> <UL>
!> <LI> type definitions are in the fgsl section of the Modules menu item
!> <LI> all API routines are available via the Files menu item
!> <LI> additional remarks on the various files are available via the Related
!> Pages menu item
!> </UL>
!> <LI> Only interfaces from the GSL manual are implemented. The
!> C include files may contain more stuff which may only be meant
!> for internal use, or is not officially documented.
!> <LI> Inlining of GSL routines is not possible.
!> <LI> Macros are not supported:
!> <UL>
!> <LI> macro values are replicated as parameters
!> <LI> Inf/Nan need to use IEEE_VALUE (if available)
!> </UL>
!> </OL>
!>
!-------------------------------------------------------------------------------
use, intrinsic :: iso_c_binding
implicit none
private
!
! Exported entities
!
public :: fgsl_set_error_handler_off, fgsl_set_error_handler, fgsl_strerror, &
fgsl_error_handler_init, fgsl_name, fgsl_error
public :: fgsl_well_defined, fgsl_obj_c_ptr, fgsl_sizeof
public :: fgsl_open, fgsl_close, fgsl_stdin, fgsl_stdout, fgsl_stderr, fgsl_flush
public :: assignment(=)
public :: fgsl_isnan, fgsl_isinf, fgsl_finite, fgsl_log1p, fgsl_expm1, &
fgsl_hypot, fgsl_hypot3, fgsl_acosh, fgsl_asinh, fgsl_atanh, fgsl_ldexp, fgsl_frexp, &
fgsl_fcmp, fgsl_function_init, fgsl_function_fdf_init, fgsl_function_free, &
fgsl_function_fdf_free, fgsl_fn_eval, fgsl_fn_fdf_eval_f, fgsl_fn_fdf_eval_df, &
fgsl_fn_fdf_eval_f_df
! complex functions
public :: fgsl_complex_arg, fgsl_complex_logabs, fgsl_complex_log10, &
fgsl_complex_log_b, fgsl_complex_arcsin, fgsl_complex_arcsin_real, &
fgsl_complex_arccos, fgsl_complex_arccos_real, fgsl_complex_arctan, &
fgsl_complex_arcsec, fgsl_complex_arcsec_real, fgsl_complex_arccsc, &
fgsl_complex_arccsc_real, fgsl_complex_arccot, fgsl_complex_arcsinh, &
fgsl_complex_arccosh, fgsl_complex_arccosh_real, fgsl_complex_arctanh, &
fgsl_complex_arctanh_real, fgsl_complex_arcsech, fgsl_complex_arccsch, &
fgsl_complex_arccoth
! polynomials
public :: fgsl_poly_eval, fgsl_poly_complex_eval, fgsl_complex_poly_complex_eval, &
fgsl_poly_eval_derivs, fgsl_poly_dd_init, fgsl_poly_dd_eval, fgsl_poly_dd_taylor, &
fgsl_poly_solve_quadratic, fgsl_poly_complex_solve_quadratic, &
fgsl_poly_solve_cubic, fgsl_poly_complex_solve_cubic, &
fgsl_poly_complex_workspace_alloc, fgsl_poly_complex_workspace_free, &
fgsl_poly_complex_solve
public :: fgsl_poly_dd_hermite_init
! special functions
public :: fgsl_sf_airy_ai, fgsl_sf_airy_ai_e, fgsl_sf_airy_bi, fgsl_sf_airy_bi_e, &
fgsl_sf_airy_ai_scaled, fgsl_sf_airy_ai_scaled_e, fgsl_sf_airy_bi_scaled, &
fgsl_sf_airy_bi_scaled_e, fgsl_sf_airy_ai_deriv, fgsl_sf_airy_bi_deriv, &
fgsl_sf_airy_ai_deriv_scaled, fgsl_sf_airy_bi_deriv_scaled, &
fgsl_sf_airy_ai_deriv_e, fgsl_sf_airy_bi_deriv_e, &
fgsl_sf_airy_ai_deriv_scaled_e, fgsl_sf_airy_bi_deriv_scaled_e, &
fgsl_sf_airy_zero_ai, fgsl_sf_airy_zero_ai_e, &
fgsl_sf_airy_zero_bi, fgsl_sf_airy_zero_bi_e, &
fgsl_sf_airy_zero_ai_deriv, fgsl_sf_airy_zero_ai_deriv_e, &
fgsl_sf_airy_zero_bi_deriv, fgsl_sf_airy_zero_bi_deriv_e
public :: fgsl_sf_bessel_jc0, fgsl_sf_bessel_jc0_e, &
fgsl_sf_bessel_jc1, fgsl_sf_bessel_jc1_e, fgsl_sf_bessel_jcn, &
fgsl_sf_bessel_jcn_e, fgsl_sf_bessel_jcn_array, &
fgsl_sf_bessel_yc0, fgsl_sf_bessel_yc0_e, &
fgsl_sf_bessel_yc1, fgsl_sf_bessel_yc1_e, fgsl_sf_bessel_ycn, &
fgsl_sf_bessel_ycn_e, fgsl_sf_bessel_ycn_array, &
fgsl_sf_bessel_ic0, fgsl_sf_bessel_ic0_e, &
fgsl_sf_bessel_ic1, fgsl_sf_bessel_ic1_e, fgsl_sf_bessel_icn, &
fgsl_sf_bessel_icn_e, fgsl_sf_bessel_icn_array, &
fgsl_sf_bessel_ic0_scaled, fgsl_sf_bessel_ic0_scaled_e, &
fgsl_sf_bessel_ic1_scaled, fgsl_sf_bessel_ic1_scaled_e, fgsl_sf_bessel_icn_scaled, &
fgsl_sf_bessel_icn_scaled_e, fgsl_sf_bessel_icn_scaled_array, &
fgsl_sf_bessel_kc0, fgsl_sf_bessel_kc0_e, &
fgsl_sf_bessel_kc1, fgsl_sf_bessel_kc1_e, fgsl_sf_bessel_kcn, &
fgsl_sf_bessel_kcn_e, fgsl_sf_bessel_kcn_array, &
fgsl_sf_bessel_kc0_scaled, fgsl_sf_bessel_kc0_scaled_e, &
fgsl_sf_bessel_kc1_scaled, fgsl_sf_bessel_kc1_scaled_e, fgsl_sf_bessel_kcn_scaled, &
fgsl_sf_bessel_kcn_scaled_e, fgsl_sf_bessel_kcn_scaled_array
public :: fgsl_sf_bessel_js0, fgsl_sf_bessel_js0_e, fgsl_sf_bessel_js1, fgsl_sf_bessel_js1_e, &
fgsl_sf_bessel_js2, fgsl_sf_bessel_js2_e, fgsl_sf_bessel_jsl, fgsl_sf_bessel_jsl_e, &
fgsl_sf_bessel_jsl_array, fgsl_sf_bessel_jsl_steed_array, &
fgsl_sf_bessel_ys0, fgsl_sf_bessel_ys0_e, fgsl_sf_bessel_ys1, fgsl_sf_bessel_ys1_e, &
fgsl_sf_bessel_ys2, fgsl_sf_bessel_ys2_e, fgsl_sf_bessel_ysl, fgsl_sf_bessel_ysl_e, &
fgsl_sf_bessel_ysl_array, fgsl_sf_bessel_is0_scaled, fgsl_sf_bessel_is0_scaled_e, &
fgsl_sf_bessel_is1_scaled, fgsl_sf_bessel_is1_scaled_e, &
fgsl_sf_bessel_is2_scaled, fgsl_sf_bessel_is2_scaled_e, fgsl_sf_bessel_isl_scaled, &
fgsl_sf_bessel_isl_scaled_e, fgsl_sf_bessel_isl_scaled_array, &
fgsl_sf_bessel_ks0_scaled, fgsl_sf_bessel_ks0_scaled_e, &
fgsl_sf_bessel_ks1_scaled, fgsl_sf_bessel_ks1_scaled_e, &
fgsl_sf_bessel_ks2_scaled, fgsl_sf_bessel_ks2_scaled_e, fgsl_sf_bessel_ksl_scaled, &
fgsl_sf_bessel_ksl_scaled_e, fgsl_sf_bessel_ksl_scaled_array
public :: fgsl_sf_bessel_jnu, fgsl_sf_bessel_jnu_e, fgsl_sf_bessel_sequence_jnu_e, &
fgsl_sf_bessel_ynu, fgsl_sf_bessel_ynu_e, fgsl_sf_bessel_inu, fgsl_sf_bessel_inu_e, &
fgsl_sf_bessel_inu_scaled, fgsl_sf_bessel_inu_scaled_e, &
fgsl_sf_bessel_knu, fgsl_sf_bessel_knu_e, &
fgsl_sf_bessel_lnknu, fgsl_sf_bessel_lnknu_e, &
fgsl_sf_bessel_knu_scaled, fgsl_sf_bessel_knu_scaled_e, &
fgsl_sf_bessel_zero_jc0, fgsl_sf_bessel_zero_jc0_e, &
fgsl_sf_bessel_zero_jc1, fgsl_sf_bessel_zero_jc1_e, &
fgsl_sf_bessel_zero_jnu, fgsl_sf_bessel_zero_jnu_e
public :: fgsl_sf_clausen, fgsl_sf_clausen_e, fgsl_sf_hydrogenicr_1, &
fgsl_sf_hydrogenicr_1_e, fgsl_sf_hydrogenicr, fgsl_sf_hydrogenicr_e, &
fgsl_sf_coulomb_wave_fg_e, fgsl_sf_coulomb_wave_f_array, fgsl_sf_coulomb_wave_fg_array, &
fgsl_sf_coulomb_wave_fgp_array, fgsl_sf_coulomb_wave_sphf_array, &
fgsl_sf_coulomb_cl_e, fgsl_sf_coulomb_cl_array
public :: fgsl_sf_coupling_3j, fgsl_sf_coupling_3j_e, fgsl_sf_coupling_6j, &
fgsl_sf_coupling_6j_e, fgsl_sf_coupling_9j, fgsl_sf_coupling_9j_e, &
fgsl_sf_dawson, fgsl_sf_dawson_e, fgsl_sf_debye_1, fgsl_sf_debye_1_e, &
fgsl_sf_debye_2, fgsl_sf_debye_2_e, fgsl_sf_debye_3, fgsl_sf_debye_3_e, &
fgsl_sf_debye_4, fgsl_sf_debye_4_e, fgsl_sf_debye_5, fgsl_sf_debye_5_e, &
fgsl_sf_debye_6, fgsl_sf_debye_6_e, fgsl_sf_dilog, fgsl_sf_dilog_e, &
fgsl_sf_complex_dilog_e, fgsl_sf_multiply_e, fgsl_sf_multiply_err_e
public :: fgsl_sf_ellint_kcomp, fgsl_sf_ellint_kcomp_e, fgsl_sf_ellint_ecomp, &
fgsl_sf_ellint_ecomp_e, fgsl_sf_ellint_f, fgsl_sf_ellint_pcomp, &
fgsl_sf_ellint_pcomp_e, fgsl_sf_ellint_f_e, &
fgsl_sf_ellint_e, fgsl_sf_ellint_e_e, fgsl_sf_ellint_p, fgsl_sf_ellint_p_e, &
fgsl_sf_ellint_d, fgsl_sf_ellint_d_e, fgsl_sf_ellint_rc, fgsl_sf_ellint_rc_e, &
fgsl_sf_ellint_rd, fgsl_sf_ellint_rd_e, fgsl_sf_ellint_rf, fgsl_sf_ellint_rf_e, &
fgsl_sf_ellint_rj, fgsl_sf_ellint_rj_e, fgsl_sf_elljac_e
public :: fgsl_sf_erf, fgsl_sf_erf_e, fgsl_sf_erfc, fgsl_sf_erfc_e, fgsl_sf_log_erfc, &
fgsl_sf_log_erfc_e, fgsl_sf_erf_z, fgsl_sf_erf_z_e, fgsl_sf_erf_q, fgsl_sf_erf_q_e, &
fgsl_sf_hazard, fgsl_sf_hazard_e, fgsl_sf_exp, fgsl_sf_exp_e, fgsl_sf_exp_e10_e, &
fgsl_sf_exp_mult, fgsl_sf_exp_mult_e, fgsl_sf_exp_mult_e10_e, fgsl_sf_expm1, &
fgsl_sf_expm1_e, fgsl_sf_exprel, fgsl_sf_exprel_e, fgsl_sf_exprel_2, fgsl_sf_exprel_2_e, &
fgsl_sf_exprel_n, fgsl_sf_exprel_n_e, fgsl_sf_exp_err_e, fgsl_sf_exp_err_e10_e, &
fgsl_sf_exp_mult_err_e, fgsl_sf_exp_mult_err_e10_e
public :: fgsl_sf_expint_e1, fgsl_sf_expint_e1_e, fgsl_sf_expint_e2, fgsl_sf_expint_e2_e, &
fgsl_sf_expint_en, fgsl_sf_expint_en_e, &
fgsl_sf_expint_ei, fgsl_sf_expint_ei_e, fgsl_sf_shi, fgsl_sf_shi_e, fgsl_sf_chi, &
fgsl_sf_chi_e, fgsl_sf_expint_3, fgsl_sf_expint_3_e, fgsl_sf_si, fgsl_sf_si_e, &
fgsl_sf_ci, fgsl_sf_ci_e, fgsl_sf_atanint, fgsl_sf_atanint_e
public :: fgsl_sf_fermi_dirac_m1, fgsl_sf_fermi_dirac_m1_e, fgsl_sf_fermi_dirac_0, &
fgsl_sf_fermi_dirac_0_e, fgsl_sf_fermi_dirac_1, fgsl_sf_fermi_dirac_1_e, &
fgsl_sf_fermi_dirac_2, fgsl_sf_fermi_dirac_2_e, fgsl_sf_fermi_dirac_int, &
fgsl_sf_fermi_dirac_int_e, fgsl_sf_fermi_dirac_mhalf, fgsl_sf_fermi_dirac_mhalf_e, &
fgsl_sf_fermi_dirac_half, fgsl_sf_fermi_dirac_half_e, fgsl_sf_fermi_dirac_3half, &
fgsl_sf_fermi_dirac_3half_e, fgsl_sf_fermi_dirac_inc_0, &
fgsl_sf_fermi_dirac_inc_0_e
public :: fgsl_sf_gamma, fgsl_sf_gamma_e, fgsl_sf_lngamma, fgsl_sf_lngamma_e, &
fgsl_sf_lngamma_sgn_e, fgsl_sf_gammastar, fgsl_sf_gammastar_e, fgsl_sf_gammainv, &
fgsl_sf_gammainv_e, fgsl_sf_lngamma_complex_e, fgsl_sf_fact, fgsl_sf_fact_e, &
fgsl_sf_doublefact, fgsl_sf_doublefact_e, fgsl_sf_lnfact, fgsl_sf_lnfact_e, &
fgsl_sf_lndoublefact, fgsl_sf_lndoublefact_e, fgsl_sf_choose, fgsl_sf_choose_e, &
fgsl_sf_lnchoose, fgsl_sf_lnchoose_e, fgsl_sf_taylorcoeff, fgsl_sf_taylorcoeff_e, &
fgsl_sf_poch, fgsl_sf_poch_e, fgsl_sf_lnpoch, fgsl_sf_lnpoch_e, &
fgsl_sf_lnpoch_sgn_e, fgsl_sf_pochrel, fgsl_sf_pochrel_e, &
fgsl_sf_gamma_inc, fgsl_sf_gamma_inc_e, &
fgsl_sf_gamma_inc_q, fgsl_sf_gamma_inc_q_e, fgsl_sf_gamma_inc_p, &
fgsl_sf_gamma_inc_p_e, fgsl_sf_beta, fgsl_sf_beta_e, fgsl_sf_lnbeta, &
fgsl_sf_lnbeta_e, fgsl_sf_beta_inc, fgsl_sf_beta_inc_e
public :: fgsl_sf_gegenpoly_1, fgsl_sf_gegenpoly_1_e, fgsl_sf_gegenpoly_2, &
fgsl_sf_gegenpoly_2_e, fgsl_sf_gegenpoly_3, fgsl_sf_gegenpoly_3_e, &
fgsl_sf_gegenpoly_n, fgsl_sf_gegenpoly_n_e, fgsl_sf_gegenpoly_array
public :: fgsl_sf_hermite, fgsl_sf_hermite_deriv, fgsl_sf_hermite_deriv_e, &
fgsl_sf_hermite_prob, fgsl_sf_hermite_prob_deriv, &
fgsl_sf_hermite_prob_e, fgsl_sf_hermite_prob_deriv_e, &
fgsl_sf_hermite_prob_series_e, fgsl_sf_hermite_e, &
fgsl_sf_hermite_series_e, fgsl_sf_hermite_func, fgsl_sf_hermite_func_e, &
fgsl_sf_hermite_func_fast, fgsl_sf_hermite_func_fast_e, &
fgsl_sf_hermite_func_series_e, fgsl_sf_hermite_prob_array, &
fgsl_sf_hermite_prob_series, fgsl_sf_hermite_array, fgsl_sf_hermite_series, &
fgsl_sf_hermite_func_array, fgsl_sf_hermite_func_series, &
fgsl_sf_hermite_array_deriv, fgsl_sf_hermite_deriv_array, &
fgsl_sf_hermite_prob_array_deriv, fgsl_sf_hermite_prob_deriv_array, &
fgsl_sf_hermite_zero, fgsl_sf_hermite_zero_e, &
fgsl_sf_hermite_prob_zero, fgsl_sf_hermite_prob_zero_e
! deprecated
public fgsl_sf_hermite_phys, fgsl_sf_hermite_phys_e, fgsl_sf_hermite_phys_series_e, &
fgsl_sf_hermite_phys_array, fgsl_sf_hermite_phys_series
public :: fgsl_sf_hyperg_0f1, fgsl_sf_hyperg_0f1_e, fgsl_sf_hyperg_1f1_int, &
fgsl_sf_hyperg_1f1_int_e, fgsl_sf_hyperg_1f1, fgsl_sf_hyperg_1f1_e, &
fgsl_sf_hyperg_u_int, fgsl_sf_hyperg_u_int_e, fgsl_sf_hyperg_u_int_e10_e, &
fgsl_sf_hyperg_u, fgsl_sf_hyperg_u_e, fgsl_sf_hyperg_u_e10_e, &
fgsl_sf_hyperg_2f1, fgsl_sf_hyperg_2f1_e, fgsl_sf_hyperg_2f1_conj, &
fgsl_sf_hyperg_2f1_conj_e, fgsl_sf_hyperg_2f1_renorm, fgsl_sf_hyperg_2f1_renorm_e, &
fgsl_sf_hyperg_2f1_conj_renorm, fgsl_sf_hyperg_2f1_conj_renorm_e, &
fgsl_sf_hyperg_2f0, fgsl_sf_hyperg_2f0_e
public :: fgsl_sf_laguerre_1, fgsl_sf_laguerre_1_e, fgsl_sf_laguerre_2, &
fgsl_sf_laguerre_2_e, fgsl_sf_laguerre_3, fgsl_sf_laguerre_3_e, &
fgsl_sf_laguerre_n, fgsl_sf_laguerre_n_e
public :: fgsl_sf_lambert_w0, fgsl_sf_lambert_w0_e, fgsl_sf_lambert_wm1, &
fgsl_sf_lambert_wm1_e, fgsl_sf_legendre_p1, fgsl_sf_legendre_p1_e, &
fgsl_sf_legendre_p2, fgsl_sf_legendre_p2_e, fgsl_sf_legendre_p3, &
fgsl_sf_legendre_p3_e, fgsl_sf_legendre_pl, fgsl_sf_legendre_pl_e, &
fgsl_sf_legendre_pl_array, fgsl_sf_legendre_pl_deriv_array, &
fgsl_sf_legendre_q0, fgsl_sf_legendre_q0_e, &
fgsl_sf_legendre_q1, fgsl_sf_legendre_q1_e, fgsl_sf_legendre_ql, &
fgsl_sf_legendre_ql_e, fgsl_sf_legendre_plm, fgsl_sf_legendre_plm_e, &
fgsl_sf_legendre_sphplm, fgsl_sf_legendre_sphplm_e
public :: fgsl_sf_conicalp_half, fgsl_sf_conicalp_half_e, fgsl_sf_conicalp_mhalf, &
fgsl_sf_conicalp_mhalf_e, fgsl_sf_conicalp_0, fgsl_sf_conicalp_0_e, &
fgsl_sf_conicalp_1, fgsl_sf_conicalp_1_e, fgsl_sf_conicalp_sph_reg, &
fgsl_sf_conicalp_sph_reg_e, fgsl_sf_conicalp_cyl_reg, fgsl_sf_conicalp_cyl_reg_e, &
fgsl_sf_legendre_h3d_0, fgsl_sf_legendre_h3d_0_e, fgsl_sf_legendre_h3d_1, &
fgsl_sf_legendre_h3d_1_e, fgsl_sf_legendre_h3d, fgsl_sf_legendre_h3d_e, &
fgsl_sf_legendre_h3d_array
public :: fgsl_sf_legendre_array, fgsl_sf_legendre_array_e, &
fgsl_sf_legendre_deriv_array, fgsl_sf_legendre_deriv_array_e, &
fgsl_sf_legendre_deriv_alt_array, fgsl_sf_legendre_deriv_alt_array_e, &
fgsl_sf_legendre_deriv2_array, fgsl_sf_legendre_deriv2_array_e, &
fgsl_sf_legendre_deriv2_alt_array, fgsl_sf_legendre_deriv2_alt_array_e, &
fgsl_sf_legendre_array_n, fgsl_sf_legendre_array_index, fgsl_sf_legendre_nlm
public :: fgsl_sf_mathieu_a_array, fgsl_sf_mathieu_b_array, &
fgsl_sf_mathieu_a_e, fgsl_sf_mathieu_a, &
fgsl_sf_mathieu_b_e, fgsl_sf_mathieu_b, &
fgsl_sf_mathieu_a_coeff, fgsl_sf_mathieu_b_coeff, &
fgsl_sf_mathieu_alloc, fgsl_sf_mathieu_free, &
fgsl_sf_mathieu_ce_e, fgsl_sf_mathieu_ce, &
fgsl_sf_mathieu_se_e, fgsl_sf_mathieu_se, &
fgsl_sf_mathieu_ce_array, fgsl_sf_mathieu_se_array, &
fgsl_sf_mathieu_mc_e, fgsl_sf_mathieu_mc, &
fgsl_sf_mathieu_ms_e, fgsl_sf_mathieu_ms, &
fgsl_sf_mathieu_mc_array, fgsl_sf_mathieu_ms_array
public :: fgsl_sf_log, fgsl_sf_log_e, fgsl_sf_log_abs, fgsl_sf_log_abs_e, &
fgsl_sf_complex_log_e, fgsl_sf_log_1plusx, fgsl_sf_log_1plusx_e, &
fgsl_sf_log_1plusx_mx, fgsl_sf_log_1plusx_mx_e, fgsl_sf_psi_int, &
fgsl_sf_psi_1_int, fgsl_sf_psi_1_int_e, fgsl_sf_psi_1, fgsl_sf_psi_1_e,&
fgsl_sf_psi_n, fgsl_sf_psi_n_e,&
fgsl_sf_psi_int_e, fgsl_sf_psi, fgsl_sf_psi_e, fgsl_sf_psi_1piy, &
fgsl_sf_psi_1piy_e, fgsl_sf_synchrotron_1, fgsl_sf_synchrotron_1_e, &
fgsl_sf_synchrotron_2, fgsl_sf_synchrotron_2_e, fgsl_sf_transport_2, &
fgsl_sf_transport_2_e, fgsl_sf_transport_3, fgsl_sf_transport_3_e, &
fgsl_sf_transport_4, fgsl_sf_transport_4_e, fgsl_sf_transport_5, &
fgsl_sf_transport_5_e, fgsl_sf_hypot, fgsl_sf_hypot_e, fgsl_sf_sinc, &
fgsl_sf_sinc_e, fgsl_sf_complex_sin_e, fgsl_sf_complex_cos_e, &
fgsl_sf_complex_logsin_e, fgsl_sf_lnsinh, fgsl_sf_lnsinh_e, &
fgsl_sf_lncosh, fgsl_sf_lncosh_e, fgsl_sf_polar_to_rect, &
fgsl_sf_rect_to_polar, fgsl_sf_angle_restrict_symm, fgsl_sf_angle_restrict_symm_e, &
fgsl_sf_angle_restrict_pos, fgsl_sf_angle_restrict_pos_e, fgsl_sf_sin_err_e, &
fgsl_sf_cos_err_e, fgsl_sf_zeta_int, fgsl_sf_zeta_int_e, &
fgsl_sf_eta_int, fgsl_sf_eta_int_e, fgsl_sf_zeta, &
fgsl_sf_zeta_e, fgsl_sf_zetam1_int, fgsl_sf_zetam1_int_e, fgsl_sf_zetam1, &
fgsl_sf_zetam1_e, fgsl_sf_hzeta, fgsl_sf_hzeta_e, fgsl_sf_eta, fgsl_sf_eta_e
! array processing
public :: fgsl_vector_init, fgsl_vector_align, fgsl_vector_free,&
fgsl_vector_get_size, fgsl_vector_get_stride, fgsl_vector_to_fptr
public :: fgsl_matrix_init, fgsl_matrix_align, fgsl_matrix_to_fptr, fgsl_matrix_free,&
fgsl_matrix_get_size1, fgsl_matrix_get_size2, fgsl_matrix_get_tda
! interpolation
public :: fgsl_interp_alloc, fgsl_interp_init, &
fgsl_interp_free, fgsl_interp_eval, fgsl_interp_eval_e, &
fgsl_interp_eval_deriv, fgsl_interp_eval_deriv_e, &
fgsl_interp_eval_deriv2, fgsl_interp_eval_deriv2_e, &
fgsl_interp_eval_integ, fgsl_interp_eval_integ_e, &
fgsl_interp_min_size, &
fgsl_interp_type_min_size,&
fgsl_interp_name
public :: fgsl_interp2d_alloc, fgsl_interp2d_name, fgsl_interp2d_min_size, &
fgsl_interp2d_type_min_size, fgsl_interp2d_init, fgsl_interp2d_free, fgsl_interp2d_eval, &
fgsl_interp2d_eval_extrap, fgsl_interp2d_eval_e, fgsl_interp2d_eval_e_extrap, &
fgsl_interp2d_eval_extrap_e, fgsl_interp2d_eval_deriv_x, fgsl_interp2d_eval_deriv_x_e, &
fgsl_interp2d_eval_deriv_y, fgsl_interp2d_eval_deriv_y_e, &
fgsl_interp2d_eval_deriv_xx, fgsl_interp2d_eval_deriv_xx_e, &
fgsl_interp2d_eval_deriv_yy, fgsl_interp2d_eval_deriv_yy_e, &
fgsl_interp2d_eval_deriv_xy, fgsl_interp2d_eval_deriv_xy_e
public :: fgsl_spline_alloc, fgsl_spline_init, fgsl_spline_free, &
fgsl_spline_name, fgsl_spline_min_size, fgsl_spline_eval, &
fgsl_spline_eval_e, fgsl_spline_eval_deriv, fgsl_spline_eval_deriv_e, &
fgsl_spline_eval_deriv2, fgsl_spline_eval_deriv2_e, &
fgsl_spline_eval_integ, fgsl_spline_eval_integ_e
public :: fgsl_spline2d_alloc, fgsl_spline2d_init, fgsl_spline2d_free, &
fgsl_spline2d_eval, fgsl_spline2d_eval_e, &
fgsl_spline2d_eval_deriv_x, fgsl_spline2d_eval_deriv_x_e, &
fgsl_spline2d_eval_deriv_y, fgsl_spline2d_eval_deriv_y_e, &
fgsl_spline2d_eval_deriv_xx, fgsl_spline2d_eval_deriv_xx_e, &
fgsl_spline2d_eval_deriv_yy, fgsl_spline2d_eval_deriv_yy_e, &
fgsl_spline2d_eval_deriv_xy, fgsl_spline2d_eval_deriv_xy_e, &
fgsl_spline2d_min_size, fgsl_spline2d_name
public :: fgsl_interp_accel_alloc, fgsl_interp_accel_free, &
fgsl_interp_accel_find, fgsl_interp_bsearch
! permutations, combinations and multisets
public :: fgsl_permutation_alloc, fgsl_permutation_calloc, fgsl_permutation_init, &
fgsl_permutation_free, fgsl_permutation_memcpy, fgsl_permutation_get, &
fgsl_permutation_swap, fgsl_permutation_size, fgsl_permutation_data, &
fgsl_permutation_valid, fgsl_permutation_reverse, fgsl_permutation_inverse, &
fgsl_permutation_next, fgsl_permutation_prev, &
fgsl_permute, fgsl_permute_inverse, fgsl_permute_vector, &
fgsl_permute_vector_inverse, fgsl_permute_matrix, fgsl_permutation_mul, &
fgsl_permutation_linear_to_canonical, fgsl_permutation_canonical_to_linear, &
fgsl_permutation_inversions, fgsl_permutation_linear_cycles, &
fgsl_permutation_canonical_cycles, fgsl_permutation_fwrite, &
fgsl_permutation_fread, fgsl_permutation_fprintf, &
fgsl_permutation_fscanf, &
fgsl_multiset_alloc, &
fgsl_multiset_calloc, fgsl_multiset_init_first, fgsl_multiset_init_last, &
fgsl_multiset_free, fgsl_multiset_memcpy, fgsl_multiset_get, &
fgsl_multiset_n, fgsl_multiset_k, fgsl_multiset_data, &
fgsl_multiset_valid, fgsl_multiset_next, &
fgsl_multiset_prev, fgsl_multiset_fwrite, fgsl_multiset_fread, &
fgsl_multiset_fprintf, fgsl_multiset_fscanf, &
fgsl_combination_alloc, &
fgsl_combination_calloc, fgsl_combination_init_first, fgsl_combination_init_last, &
fgsl_combination_free, fgsl_combination_memcpy, fgsl_combination_get, &
fgsl_combination_n, fgsl_combination_k, fgsl_combination_data, &
fgsl_combination_valid, fgsl_combination_next, &
fgsl_combination_prev, fgsl_combination_fwrite, fgsl_combination_fread, &
fgsl_combination_fprintf, fgsl_combination_fscanf
! sorting
public :: fgsl_heapsort, fgsl_heapsort_index, &
fgsl_sort_smallest, fgsl_sort_smallest_index, &
fgsl_sort_largest, fgsl_sort_largest_index, &
fgsl_sort, fgsl_sort_index
public :: fgsl_sort_vector2
! linear algebra
public :: fgsl_linalg_lu_decomp, fgsl_linalg_complex_lu_decomp, &
fgsl_linalg_lu_solve, fgsl_linalg_complex_lu_solve, &
fgsl_linalg_lu_svx, fgsl_linalg_complex_lu_svx, &
fgsl_linalg_lu_refine, fgsl_linalg_complex_lu_refine, &
fgsl_linalg_lu_invert, fgsl_linalg_complex_lu_invert, &
fgsl_linalg_lu_invx, fgsl_linalg_complex_lu_invx, &
fgsl_linalg_lu_det, fgsl_linalg_complex_lu_det, &
fgsl_linalg_lu_lndet, fgsl_linalg_complex_lu_lndet, &
fgsl_linalg_lu_sgndet, fgsl_linalg_complex_lu_sgndet, &
fgsl_linalg_qr_decomp, fgsl_linalg_qr_solve, fgsl_linalg_qr_svx, &
fgsl_linalg_qr_decomp_r, fgsl_linalg_qr_solve_r, fgsl_linalg_qr_lssolve, &
fgsl_linalg_qr_lssolve_r, fgsl_linalg_qr_qtvec, &
fgsl_linalg_qr_qtvec_r, fgsl_linalg_qr_qvec, fgsl_linalg_qr_qtmat, &
fgsl_linalg_qr_qtmat_r, fgsl_linalg_qr_rsolve, fgsl_linalg_qr_rsvx, &
fgsl_linalg_qr_unpack, fgsl_linalg_qr_unpack_r, &
fgsl_linalg_qr_qrsolve, fgsl_linalg_qr_update, &
fgsl_linalg_r_solve, fgsl_linalg_r_svx, fgsl_linalg_qrpt_decomp, &
fgsl_linalg_qrpt_decomp2, fgsl_linalg_qrpt_solve, fgsl_linalg_qrpt_svx, &
fgsl_linalg_qrpt_qrsolve, fgsl_linalg_qrpt_update, &
fgsl_linalg_qrpt_rsolve, fgsl_linalg_qrpt_rsvx, &
fgsl_linalg_qrpt_lssolve, fgsl_linalg_qrpt_lssolve2, &
fgsl_linalg_qrpt_rank, fgsl_linalg_qrpt_rcond, &
fgsl_linalg_lq_decomp, fgsl_linalg_lq_lssolve, &
fgsl_linalg_lq_unpack, fgsl_linalg_lq_qtvec, &
fgsl_linalg_cod_decomp, fgsl_linalg_cod_decomp_e, &
fgsl_linalg_cod_lssolve, fgsl_linalg_cod_lssolve2, &
fgsl_linalg_cod_unpack, fgsl_linalg_cod_matz, &
fgsl_linalg_sv_decomp, fgsl_linalg_sv_decomp_mod, &
fgsl_linalg_sv_decomp_jacobi, fgsl_linalg_sv_solve, &
fgsl_linalg_cholesky_decomp1, fgsl_linalg_complex_cholesky_decomp, &
fgsl_linalg_cholesky_decomp, &
fgsl_linalg_cholesky_solve, fgsl_linalg_complex_cholesky_solve, &
fgsl_linalg_cholesky_svx, fgsl_linalg_complex_cholesky_svx, &
fgsl_linalg_cholesky_invert, fgsl_linalg_cholesky_rcond, &
fgsl_linalg_complex_cholesky_invert, &
fgsl_linalg_cholesky_decomp2, fgsl_linalg_cholesky_solve2, &
fgsl_linalg_cholesky_svx2, &
fgsl_linalg_cholesky_scale, fgsl_linalg_cholesky_scale_apply, &
fgsl_linalg_pcholesky_decomp, fgsl_linalg_pcholesky_solve, &
fgsl_linalg_pcholesky_svx, fgsl_linalg_pcholesky_decomp2, &
fgsl_linalg_pcholesky_solve2, fgsl_linalg_pcholesky_svx2, &
fgsl_linalg_pcholesky_invert, fgsl_linalg_pcholesky_rcond, &
fgsl_linalg_mcholesky_decomp, fgsl_linalg_mcholesky_solve, &
fgsl_linalg_mcholesky_svx, fgsl_linalg_mcholesky_rcond, &
fgsl_linalg_mcholesky_invert, &
fgsl_linalg_ldlt_decomp, fgsl_linalg_ldlt_solve, fgsl_linalg_ldlt_svx, &
fgsl_linalg_ldlt_rcond, &
fgsl_linalg_symmtd_decomp, fgsl_linalg_symmtd_unpack, &
fgsl_linalg_symmtd_unpack_t, fgsl_linalg_hermtd_decomp, &
fgsl_linalg_hermtd_unpack, fgsl_linalg_hermtd_unpack_t, &
fgsl_linalg_hessenberg_decomp, fgsl_linalg_hessenberg_unpack, &
fgsl_linalg_hessenberg_unpack_accum, fgsl_linalg_hessenberg_set_zero, &
fgsl_linalg_hesstri_decomp, &
fgsl_linalg_bidiag_decomp, fgsl_linalg_bidiag_unpack, &
fgsl_linalg_bidiag_unpack2, fgsl_linalg_bidiag_unpack_b, &
fgsl_linalg_householder_transform, &
fgsl_linalg_complex_householder_transform, &
fgsl_linalg_householder_hm, fgsl_linalg_complex_householder_hm, &
fgsl_linalg_householder_mh, fgsl_linalg_complex_householder_mh, &
fgsl_linalg_householder_hv, fgsl_linalg_complex_householder_hv, &
fgsl_linalg_hh_solve, fgsl_linalg_hh_svx, fgsl_linalg_solve_tridiag, &
fgsl_linalg_solve_symm_tridiag, fgsl_linalg_solve_cyc_tridiag, &
fgsl_linalg_solve_symm_cyc_tridiag, fgsl_linalg_balance_matrix, &
fgsl_linalg_qr_matq, fgsl_linalg_givens, fgsl_linalg_givens_gv, &
fgsl_linalg_tri_invert, fgsl_linalg_complex_tri_invert, &
fgsl_linalg_tri_ltl, fgsl_linalg_complex_tri_lhl, &
fgsl_linalg_tri_ul, fgsl_linalg_complex_tri_ul, &
fgsl_linalg_tri_rcond, &
fgsl_linalg_tri_upper_invert, fgsl_linalg_tri_lower_invert, &
fgsl_linalg_tri_upper_unit_invert, fgsl_linalg_tri_lower_unit_invert, &
fgsl_linalg_tri_upper_rcond, fgsl_linalg_tri_lower_rcond, &
fgsl_linalg_cholesky_band_decomp, fgsl_linalg_cholesky_band_solve, &
fgsl_linalg_cholesky_band_svx, fgsl_linalg_cholesky_band_invert, &
fgsl_linalg_cholesky_band_unpack, fgsl_linalg_cholesky_band_rcond, &
fgsl_linalg_ldlt_band_decomp, fgsl_linalg_ldlt_band_solve, &
fgsl_linalg_ldlt_band_svx, fgsl_linalg_ldlt_band_unpack, fgsl_linalg_ldlt_band_rcond
public :: fgsl_linalg_sv_leverage
! eigensystems
public :: fgsl_eigen_symm_alloc, fgsl_eigen_symm_free, fgsl_eigen_symm, &
fgsl_eigen_symmv_alloc, fgsl_eigen_symmv_free, fgsl_eigen_symmv, &
fgsl_eigen_herm_alloc, fgsl_eigen_herm_free, fgsl_eigen_herm, &
fgsl_eigen_hermv_alloc, fgsl_eigen_hermv_free, fgsl_eigen_hermv, &
fgsl_eigen_nonsymm_alloc, fgsl_eigen_nonsymm_free, fgsl_eigen_nonsymm, &
fgsl_eigen_nonsymm_params, fgsl_eigen_nonsymmv_params, &
fgsl_eigen_nonsymmv_alloc, fgsl_eigen_nonsymmv_free, fgsl_eigen_nonsymmv, &
fgsl_eigen_nonsymm_z, fgsl_eigen_nonsymmv_z, &
fgsl_eigen_gensymm_alloc, fgsl_eigen_gensymm_free, fgsl_eigen_gensymm, &
fgsl_eigen_gensymmv_alloc, fgsl_eigen_gensymmv_free, fgsl_eigen_gensymmv, &
fgsl_eigen_genherm_alloc, fgsl_eigen_genherm_free, fgsl_eigen_genherm, &
fgsl_eigen_genhermv_alloc, fgsl_eigen_genhermv_free, fgsl_eigen_genhermv, &
fgsl_eigen_gen_alloc, fgsl_eigen_gen_free, fgsl_eigen_gen, &
fgsl_eigen_genv_alloc, fgsl_eigen_genv_free, fgsl_eigen_genv, &
fgsl_eigen_gen_params, fgsl_eigen_gen_qz, fgsl_eigen_genv_qz, &
fgsl_eigen_symmv_sort, fgsl_eigen_hermv_sort, &
fgsl_eigen_nonsymmv_sort, fgsl_eigen_gensymmv_sort, &
fgsl_eigen_genhermv_sort, fgsl_eigen_genv_sort
! FFT
public :: fgsl_fft_complex_radix2_forward, fgsl_fft_complex_radix2_transform, &
fgsl_fft_complex_radix2_backward, fgsl_fft_complex_radix2_inverse, &
fgsl_fft_complex_radix2_dif_forward, fgsl_fft_complex_radix2_dif_transform, &
fgsl_fft_complex_radix2_dif_backward, fgsl_fft_complex_radix2_dif_inverse, &
fgsl_fft_complex_wavetable_alloc, fgsl_fft_complex_wavetable_free, &
fgsl_fft_complex_workspace_alloc, fgsl_fft_complex_workspace_free, &
fgsl_fft_complex_forward, fgsl_fft_complex_transform, &
fgsl_fft_complex_backward, fgsl_fft_complex_inverse, &
fgsl_fft_real_radix2_transform, fgsl_fft_halfcomplex_radix2_inverse, &
fgsl_fft_halfcomplex_radix2_backward, fgsl_fft_real_wavetable_alloc, &
fgsl_fft_real_wavetable_free, fgsl_fft_halfcomplex_wavetable_alloc, &
fgsl_fft_halfcomplex_wavetable_free, fgsl_fft_real_transform, &
fgsl_fft_halfcomplex_transform, fgsl_fft_real_unpack, &
fgsl_fft_halfcomplex_unpack, fgsl_fft_real_workspace_alloc, &
fgsl_fft_real_workspace_free
! numerical integration
public :: fgsl_integration_qng, fgsl_integration_workspace_alloc, &
fgsl_integration_workspace_free, &
fgsl_integration_qag, fgsl_integration_qagi, fgsl_integration_qags, &
fgsl_integration_qagp, fgsl_integration_qagiu, fgsl_integration_qagil, &
fgsl_integration_qawc, fgsl_integration_qaws_table_alloc, &
fgsl_integration_qaws_table_set, fgsl_integration_qaws_table_free, &
fgsl_integration_qaws, &
fgsl_integration_qawo_table_alloc, fgsl_integration_qawo_table_set, &
fgsl_integration_qawo_table_set_length, fgsl_integration_qawo, &
fgsl_integration_cquad_workspace_alloc, fgsl_integration_cquad_workspace_free, &
fgsl_integration_cquad, fgsl_integration_romberg_alloc, &
fgsl_integration_romberg_free, fgsl_integration_romberg, &
fgsl_integration_glfixed_point,&
fgsl_integration_glfixed, &
fgsl_integration_glfixed_table_alloc, fgsl_integration_glfixed_table_free, &
fgsl_integration_qawo_table_free, fgsl_integration_qawf, &
fgsl_integration_fixed_alloc, fgsl_integration_fixed_free, &
fgsl_integration_fixed_n, fgsl_integration_fixed_nodes, &
fgsl_integration_fixed_weights, fgsl_integration_fixed
! random numbers, quasi-random numbers, distribution functions
public :: fgsl_rng_alloc, fgsl_rng_set, fgsl_rng_free, fgsl_rng_get, fgsl_rng_uniform, &
fgsl_rng_uniform_pos, fgsl_rng_uniform_int, fgsl_rng_name, fgsl_rng_max, &
fgsl_rng_min, fgsl_rng_env_setup, fgsl_rng_memcpy, fgsl_rng_clone, &
fgsl_rng_fwrite, fgsl_rng_fread, fgsl_qrng_alloc, &
fgsl_qrng_free, fgsl_qrng_init, fgsl_qrng_get, fgsl_qrng_name, fgsl_qrng_memcpy, &
fgsl_qrng_clone
public :: fgsl_ran_gaussian, fgsl_ran_gaussian_pdf, fgsl_ran_gaussian_ziggurat, &
fgsl_ran_gaussian_ratio_method, fgsl_ran_ugaussian, fgsl_ran_ugaussian_pdf, &
fgsl_ran_ugaussian_ratio_method, fgsl_cdf_gaussian_p, fgsl_cdf_gaussian_q, &
fgsl_cdf_gaussian_pinv, fgsl_cdf_gaussian_qinv, fgsl_cdf_ugaussian_p, &
fgsl_cdf_ugaussian_q, fgsl_cdf_ugaussian_pinv, fgsl_cdf_ugaussian_qinv, &
fgsl_ran_gaussian_tail, fgsl_ran_gaussian_tail_pdf, fgsl_ran_ugaussian_tail, &
fgsl_ran_ugaussian_tail_pdf, fgsl_ran_bivariate_gaussian, &
fgsl_ran_bivariate_gaussian_pdf, &
fgsl_ran_multivariate_gaussian, fgsl_ran_multivariate_gaussian_pdf, &
fgsl_ran_multivariate_gaussian_log_pdf, &
fgsl_ran_multivariate_gaussian_mean, fgsl_ran_multivariate_gaussian_vcov, &
fgsl_ran_exponential, &
fgsl_ran_exponential_pdf, fgsl_cdf_exponential_p, fgsl_cdf_exponential_q, &
fgsl_cdf_exponential_pinv, fgsl_cdf_exponential_qinv, fgsl_ran_laplace, &
fgsl_ran_laplace_pdf, fgsl_cdf_laplace_p, fgsl_cdf_laplace_q, &
fgsl_cdf_laplace_pinv, fgsl_cdf_laplace_qinv, fgsl_ran_exppow, &
fgsl_ran_exppow_pdf, fgsl_cdf_exppow_p, fgsl_cdf_exppow_q, fgsl_ran_cauchy, &
fgsl_ran_cauchy_pdf, fgsl_cdf_cauchy_p, fgsl_cdf_cauchy_q, fgsl_cdf_cauchy_pinv, &
fgsl_cdf_cauchy_qinv, fgsl_ran_rayleigh, fgsl_ran_rayleigh_pdf, &
fgsl_cdf_rayleigh_p, fgsl_cdf_rayleigh_q, fgsl_cdf_rayleigh_pinv, &
fgsl_cdf_rayleigh_qinv, fgsl_ran_rayleigh_tail, fgsl_ran_rayleigh_tail_pdf, &
fgsl_ran_landau, fgsl_ran_landau_pdf, fgsl_ran_levy, fgsl_ran_levy_skew
public :: fgsl_ran_gamma, fgsl_ran_gamma_mt, fgsl_ran_gamma_pdf, fgsl_cdf_gamma_p, &
fgsl_cdf_gamma_q, fgsl_cdf_gamma_pinv, fgsl_cdf_gamma_qinv, fgsl_ran_flat, &
fgsl_ran_flat_pdf, fgsl_cdf_flat_p, fgsl_cdf_flat_q, fgsl_cdf_flat_pinv, &
fgsl_cdf_flat_qinv, fgsl_ran_lognormal, fgsl_ran_lognormal_pdf, &
fgsl_cdf_lognormal_p, fgsl_cdf_lognormal_q, fgsl_cdf_lognormal_pinv, &
fgsl_cdf_lognormal_qinv, fgsl_ran_chisq, fgsl_ran_chisq_pdf, fgsl_cdf_chisq_p, &
fgsl_cdf_chisq_q, fgsl_cdf_chisq_pinv, fgsl_cdf_chisq_qinv, fgsl_ran_fdist, &
fgsl_ran_fdist_pdf, fgsl_cdf_fdist_p, fgsl_cdf_fdist_q, fgsl_cdf_fdist_pinv, &
fgsl_cdf_fdist_qinv, fgsl_ran_tdist, fgsl_ran_tdist_pdf, fgsl_cdf_tdist_p, &
fgsl_cdf_tdist_q, fgsl_cdf_tdist_pinv, fgsl_cdf_tdist_qinv, fgsl_ran_beta, &
fgsl_ran_beta_pdf, fgsl_cdf_beta_p, fgsl_cdf_beta_q, fgsl_cdf_beta_pinv, &
fgsl_cdf_beta_qinv, fgsl_ran_logistic, fgsl_ran_logistic_pdf, fgsl_cdf_logistic_p, &
fgsl_cdf_logistic_q, fgsl_cdf_logistic_pinv, fgsl_cdf_logistic_qinv, &
fgsl_ran_pareto, fgsl_ran_pareto_pdf, fgsl_cdf_pareto_p, fgsl_cdf_pareto_q, &
fgsl_cdf_pareto_pinv, fgsl_cdf_pareto_qinv, fgsl_ran_dir_2d, &
fgsl_ran_dir_2d_trig_method, fgsl_ran_dir_3d, fgsl_ran_dir_nd, &
fgsl_ran_weibull, fgsl_ran_weibull_pdf, fgsl_cdf_weibull_p, fgsl_cdf_weibull_q, &
fgsl_cdf_weibull_pinv, fgsl_cdf_weibull_qinv, fgsl_ran_gumbel1, &
fgsl_ran_gumbel1_pdf, fgsl_cdf_gumbel1_p, fgsl_cdf_gumbel1_q, &
fgsl_cdf_gumbel1_pinv, fgsl_cdf_gumbel1_qinv, fgsl_ran_gumbel2, &
fgsl_ran_gumbel2_pdf, fgsl_cdf_gumbel2_p, fgsl_cdf_gumbel2_q, &
fgsl_cdf_gumbel2_pinv, fgsl_cdf_gumbel2_qinv, fgsl_ran_dirichlet, &
fgsl_ran_dirichlet_pdf, fgsl_ran_dirichlet_lnpdf, fgsl_ran_discrete_preproc, &
fgsl_ran_discrete, fgsl_ran_discrete_pdf, fgsl_ran_poisson, fgsl_ran_poisson_pdf, &
fgsl_cdf_poisson_p, fgsl_cdf_poisson_q, fgsl_ran_bernoulli, &
fgsl_ran_bernoulli_pdf, fgsl_ran_binomial, fgsl_ran_binomial_pdf, &
fgsl_cdf_binomial_p, fgsl_cdf_binomial_q, fgsl_ran_multinomial, &
fgsl_ran_multinomial_pdf, fgsl_ran_multinomial_lnpdf, fgsl_ran_negative_binomial, &
fgsl_ran_negative_binomial_pdf, fgsl_cdf_negative_binomial_p, &
fgsl_cdf_negative_binomial_q, fgsl_ran_pascal, fgsl_ran_pascal_pdf, &
fgsl_cdf_pascal_p, fgsl_cdf_pascal_q, fgsl_ran_geometric, fgsl_ran_geometric_pdf, &
fgsl_cdf_geometric_p, fgsl_cdf_geometric_q, fgsl_ran_hypergeometric, &
fgsl_ran_hypergeometric_pdf, fgsl_cdf_hypergeometric_p, fgsl_cdf_hypergeometric_q, &
fgsl_ran_logarithmic, fgsl_ran_logarithmic_pdf, &
fgsl_ran_wishart, fgsl_ran_wishart_pdf, fgsl_ran_wishart_log_pdf, &
fgsl_ran_shuffle, fgsl_ran_choose, fgsl_ran_sample, &
fgsl_ran_discrete_free
! simulated annealing
public :: fgsl_siman_params_init, fgsl_siman_params_free, fgsl_siman_solve
! ordinary differential equations
public :: fgsl_odeiv2_system_init, fgsl_odeiv2_system_free, &
fgsl_odeiv2_step_alloc, fgsl_odeiv2_step_status, fgsl_odeiv2_system_status, &
fgsl_odeiv2_step_reset, fgsl_odeiv2_step_free, fgsl_odeiv2_step_name, &
fgsl_odeiv2_step_order, fgsl_odeiv2_step_set_driver, fgsl_odeiv2_step_apply, &
fgsl_odeiv2_control_standard_new, fgsl_odeiv2_control_y_new, fgsl_odeiv2_control_yp_new, &
fgsl_odeiv2_control_scaled_new, fgsl_odeiv2_control_alloc, fgsl_odeiv2_control_init, &
fgsl_odeiv2_control_free, fgsl_odeiv2_control_hadjust, &
fgsl_odeiv2_control_name, fgsl_odeiv2_control_errlevel, fgsl_odeiv2_control_set_driver, &
fgsl_odeiv2_evolve_alloc, fgsl_odeiv2_evolve_apply, fgsl_odeiv2_evolve_apply_fixed_step, &
fgsl_odeiv2_evolve_reset, fgsl_odeiv2_evolve_free, fgsl_odeiv2_evolve_set_driver, &
fgsl_odeiv2_driver_alloc_y_new, fgsl_odeiv2_driver_alloc_yp_new, &
fgsl_odeiv2_driver_alloc_standard_new, fgsl_odeiv2_driver_alloc_scaled_new, &
fgsl_odeiv2_driver_set_hmin, fgsl_odeiv2_driver_set_hmax, fgsl_odeiv2_driver_set_nmax, &
fgsl_odeiv2_driver_apply, fgsl_odeiv2_driver_apply_fixed_step, &
fgsl_odeiv2_driver_reset, fgsl_odeiv2_driver_free
public :: gsl_odeiv2_driver_reset_hstart
! legacy calls
public :: fgsl_odeiv_system_init, fgsl_odeiv_system_free, &
fgsl_odeiv_step_alloc, fgsl_odeiv_step_status, fgsl_odeiv_system_status, &
fgsl_odeiv_step_reset, fgsl_odeiv_step_free, fgsl_odeiv_step_name, &
fgsl_odeiv_step_order, fgsl_odeiv_step_apply, fgsl_odeiv_control_standard_new, &
fgsl_odeiv_control_y_new, fgsl_odeiv_control_yp_new, &
fgsl_odeiv_control_scaled_new, fgsl_odeiv_control_alloc, fgsl_odeiv_control_init, &
fgsl_odeiv_control_free, fgsl_odeiv_control_hadjust, &
fgsl_odeiv_control_name, fgsl_odeiv_evolve_alloc, fgsl_odeiv_evolve_apply, &
fgsl_odeiv_evolve_reset, fgsl_odeiv_evolve_free
! Monte Carlo
public :: fgsl_monte_function_init, fgsl_monte_function_free, &
fgsl_monte_plain_alloc, fgsl_monte_plain_init, &
fgsl_monte_plain_integrate, fgsl_monte_plain_free, &
fgsl_monte_miser_alloc, fgsl_monte_miser_init, &
fgsl_monte_miser_integrate, fgsl_monte_miser_free, &
fgsl_monte_vegas_alloc, fgsl_monte_vegas_init, &
fgsl_monte_vegas_integrate, fgsl_monte_vegas_free, &
fgsl_monte_vegas_chisq, fgsl_monte_vegas_runval, &
fgsl_monte_miser_setparams, fgsl_monte_miser_getparams, &
fgsl_monte_vegas_setparams, fgsl_monte_vegas_getparams
! Histograms
public :: fgsl_histogram_alloc, fgsl_histogram_set_ranges, &
fgsl_histogram_set_ranges_uniform, fgsl_histogram_free, &
fgsl_histogram_memcpy, fgsl_histogram_clone, fgsl_histogram_increment, &
fgsl_histogram_accumulate, fgsl_histogram_get, fgsl_histogram_get_range, &
fgsl_histogram_max, fgsl_histogram_min, fgsl_histogram_bins, &
fgsl_histogram_reset, fgsl_histogram_find, fgsl_histogram_max_val, &
fgsl_histogram_min_val, fgsl_histogram_max_bin, &
fgsl_histogram_min_bin, fgsl_histogram_mean, &
fgsl_histogram_sigma, fgsl_histogram_sum, fgsl_histogram_equal_bins_p, &
fgsl_histogram_add, fgsl_histogram_sub, fgsl_histogram_mul, &
fgsl_histogram_div, fgsl_histogram_scale, fgsl_histogram_shift, &
fgsl_histogram_fwrite, fgsl_histogram_fread, fgsl_histogram_fprintf, &
fgsl_histogram_fscanf, fgsl_histogram_pdf_alloc, fgsl_histogram_pdf_init, &
fgsl_histogram_pdf_free, fgsl_histogram_pdf_sample, &
fgsl_histogram2d_alloc, fgsl_histogram2d_set_ranges, &
fgsl_histogram2d_set_ranges_uniform, fgsl_histogram2d_free, &
fgsl_histogram2d_memcpy, fgsl_histogram2d_clone, fgsl_histogram2d_increment, &
fgsl_histogram2d_accumulate, fgsl_histogram2d_get, fgsl_histogram2d_get_xrange, &
fgsl_histogram2d_get_yrange, fgsl_histogram2d_xmax, &
fgsl_histogram2d_xmin, fgsl_histogram2d_ymax, &
fgsl_histogram2d_ymin, fgsl_histogram2d_nx, fgsl_histogram2d_ny, &
fgsl_histogram2d_reset, fgsl_histogram2d_find, fgsl_histogram2d_max_val, &
fgsl_histogram2d_min_val, fgsl_histogram2d_max_bin, &
fgsl_histogram2d_min_bin, fgsl_histogram2d_xmean, fgsl_histogram2d_ymean, &
fgsl_histogram2d_xsigma, fgsl_histogram2d_ysigma, fgsl_histogram2d_cov, &
fgsl_histogram2d_sum, fgsl_histogram2d_equal_bins_p, &
fgsl_histogram2d_add, fgsl_histogram2d_sub, fgsl_histogram2d_mul, &
fgsl_histogram2d_div, fgsl_histogram2d_scale, fgsl_histogram2d_shift, &
fgsl_histogram2d_fwrite, fgsl_histogram2d_fread, fgsl_histogram2d_fprintf, &
fgsl_histogram2d_fscanf, fgsl_histogram2d_pdf_alloc, fgsl_histogram2d_pdf_init, &
fgsl_histogram2d_pdf_free, fgsl_histogram2d_pdf_sample
! Ntuples
public :: fgsl_ntuple_create, fgsl_ntuple_open, fgsl_ntuple_write, &
fgsl_ntuple_bookdata, fgsl_ntuple_read, fgsl_ntuple_close, &
fgsl_ntuple_select_fn_init, fgsl_ntuple_value_fn_init, &
fgsl_ntuple_select_fn_free, fgsl_ntuple_value_fn_free, &
fgsl_ntuple_project, fgsl_ntuple_data, fgsl_ntuple_size
! Numerical derivatives
public :: fgsl_deriv_central, fgsl_deriv_forward, fgsl_deriv_backward
! Chebyshev approximations
public :: fgsl_cheb_alloc, fgsl_cheb_free, fgsl_cheb_init, fgsl_cheb_order, &
fgsl_cheb_size, fgsl_cheb_coeffs, fgsl_cheb_eval, &
fgsl_cheb_eval_err, fgsl_cheb_eval_n, fgsl_cheb_eval_n_err, fgsl_cheb_calc_deriv, &
fgsl_cheb_calc_integ
! Series acceleration
public :: fgsl_sum_levin_u_alloc, fgsl_sum_levin_u_free, fgsl_sum_levin_u_accel, &
fgsl_sum_levin_utrunc_alloc, fgsl_sum_levin_utrunc_free, fgsl_sum_levin_utrunc_accel
! Wavelet transforms
public :: fgsl_wavelet_alloc, fgsl_wavelet_name, fgsl_wavelet_free, &
fgsl_wavelet_workspace_alloc, fgsl_wavelet_workspace_free, fgsl_wavelet_transform, &
fgsl_wavelet_transform_forward, fgsl_wavelet_transform_inverse, &
fgsl_wavelet2d_transform, fgsl_wavelet2d_transform_forward, &
fgsl_wavelet2d_transform_inverse, fgsl_wavelet2d_nstransform, &
fgsl_wavelet2d_nstransform_forward, fgsl_wavelet2d_nstransform_inverse
! Hankel Transform
public :: fgsl_dht_alloc, fgsl_dht_init, fgsl_dht_new, fgsl_dht_free, &
fgsl_dht_apply, fgsl_dht_x_sample, fgsl_dht_k_sample
! One-dimensional root finding
public :: fgsl_root_fsolver_alloc, fgsl_root_fdfsolver_alloc, fgsl_root_fsolver_set, &
fgsl_root_fdfsolver_set, fgsl_root_fsolver_free, fgsl_root_fdfsolver_free, &
fgsl_root_fsolver_name, fgsl_root_fdfsolver_name, fgsl_root_fsolver_iterate, &
fgsl_root_fdfsolver_iterate, fgsl_root_fsolver_x_lower, fgsl_root_fsolver_x_upper, &
fgsl_root_test_interval, fgsl_root_test_delta, fgsl_root_test_residual, &
fgsl_root_fsolver_root, fgsl_root_fdfsolver_root
! One-dimensional minimization
public :: fgsl_min_fminimizer_alloc, fgsl_min_fminimizer_free, fgsl_min_fminimizer_set, &
fgsl_min_fminimizer_set_with_values, fgsl_min_fminimizer_iterate, fgsl_min_fminimizer_name, &
fgsl_min_fminimizer_x_minimum, fgsl_min_fminimizer_x_lower, fgsl_min_fminimizer_x_upper, &
fgsl_min_fminimizer_f_minimum, fgsl_min_fminimizer_f_lower, fgsl_min_fminimizer_f_upper, &
fgsl_min_test_interval
! Multi-root
public :: fgsl_multiroot_function_init, fgsl_multiroot_function_free, &
fgsl_multiroot_fsolver_alloc, fgsl_multiroot_fsolver_free, fgsl_multiroot_fsolver_name, &
fgsl_multiroot_fsolver_iterate, fgsl_multiroot_fsolver_root, fgsl_multiroot_fsolver_f, &
fgsl_multiroot_fsolver_dx, fgsl_multiroot_test_delta, fgsl_multiroot_test_residual, &
fgsl_multiroot_fsolver_set, fgsl_multiroot_fdfsolver_alloc, fgsl_multiroot_fdfsolver_free, &
fgsl_multiroot_fdfsolver_name, fgsl_multiroot_function_fdf_init, fgsl_multiroot_function_fdf_free, &
fgsl_multiroot_fdfsolver_iterate, fgsl_multiroot_fdfsolver_root, fgsl_multiroot_fdfsolver_f, &
fgsl_multiroot_fdfsolver_dx, fgsl_multiroot_fdfsolver_set
! Multi-minimization
public :: fgsl_multimin_function_init, fgsl_multimin_function_fdf_init, &
fgsl_multimin_function_free, fgsl_multimin_function_fdf_free, fgsl_multimin_fminimizer_alloc, &
fgsl_multimin_fdfminimizer_alloc, fgsl_multimin_fminimizer_free, fgsl_multimin_fdfminimizer_free, &
fgsl_multimin_fminimizer_set, fgsl_multimin_fdfminimizer_set, fgsl_multimin_fminimizer_name, &
fgsl_multimin_fdfminimizer_name, fgsl_multimin_fminimizer_iterate, &
fgsl_multimin_fdfminimizer_iterate, &
fgsl_multimin_fminimizer_minimum, fgsl_multimin_fdfminimizer_minimum, &
fgsl_multimin_fdfminimizer_gradient, fgsl_multimin_fminimizer_size, &
fgsl_multimin_fdfminimizer_restart, fgsl_multimin_fminimizer_x, &
fgsl_multimin_test_size, fgsl_multimin_fdfminimizer_x, fgsl_multimin_test_gradient
! Linear and nonlinear fitting
public :: fgsl_fit_linear, fgsl_fit_wlinear, fgsl_fit_linear_est, fgsl_fit_mul, &
fgsl_fit_wmul, fgsl_fit_mul_est
public :: fgsl_multifit_linear_alloc, fgsl_multifit_linear_free, &
fgsl_multifit_linear, fgsl_multifit_linear_tsvd, fgsl_multifit_linear_svd, &
fgsl_multifit_wlinear,fgsl_multifit_wlinear_tsvd, fgsl_multifit_wlinear_svd, &
fgsl_multifit_wlinear_usvd, fgsl_multifit_linear_bsvd, &
fgsl_multifit_linear_est, fgsl_multifit_linear_solve, &
fgsl_multifit_linear_residuals, fgsl_multifit_linear_rank, &
fgsl_multifit_linear_applyw, &
fgsl_multifit_linear_stdform1, fgsl_multifit_linear_wstdform1, &
fgsl_multifit_linear_l_decomp, fgsl_multifit_linear_stdform2, &
fgsl_multifit_linear_wstdform2, fgsl_multifit_linear_genform1, &
fgsl_multifit_linear_genform2, fgsl_multifit_linear_wgenform2, &
fgsl_multifit_linear_lreg, fgsl_multifit_linear_lcurve, &
fgsl_multifit_linear_lcorner, fgsl_multifit_linear_lcorner2, &
fgsl_multifit_linear_gcv_init, fgsl_multifit_linear_gcv_curve, &
fgsl_multifit_linear_gcv_min, fgsl_multifit_linear_gcv_calc, &
fgsl_multifit_linear_gcv, &
fgsl_multifit_linear_lk, fgsl_multifit_linear_lsobolev, &
fgsl_multifit_linear_rcond, fgsl_multifit_robust_maxiter, &
fgsl_multifit_robust_weights, fgsl_multifit_robust_residuals
public :: fgsl_multifit_function_init, fgsl_multifit_function_fdf_init, &
fgsl_multifit_function_free, fgsl_multifit_function_fdf_free, fgsl_multifit_fsolver_alloc, &
fgsl_multifit_fdfsolver_alloc, fgsl_multifit_fsolver_free, fgsl_multifit_fdfsolver_free, &
fgsl_multifit_fsolver_set, fgsl_multifit_fdfsolver_set, fgsl_multifit_fsolver_name, &
fgsl_multifit_fdfsolver_name, fgsl_multifit_fsolver_iterate, fgsl_multifit_fdfsolver_iterate, &
fgsl_multifit_fsolver_position, fgsl_multifit_fdfsolver_position, &
fgsl_multifit_fdfsolver_dx, fgsl_multifit_fdfsolver_f, fgsl_multifit_fdfsolver_jac, &
fgsl_multifit_test_delta, fgsl_multifit_test_gradient, fgsl_multifit_gradient, &
fgsl_multifit_covar, fgsl_multifit_covar_qrpt, fgsl_multifit_fdfsolver_wset, &
fgsl_multifit_fdfsolver_residual, fgsl_multifit_fdfsolver_niter, fgsl_multifit_eval_wf, &
fgsl_multifit_eval_wdf, fgsl_multifit_fdfsolver_test
public :: fgsl_multifit_fsolver_driver, fgsl_multifit_fdfsolver_driver, &
fgsl_multifit_fdfsolver_dif_df
public :: fgsl_multifit_robust_alloc, fgsl_multifit_robust_free, &
fgsl_multifit_robust_tune, fgsl_multifit_robust_name, &
fgsl_multifit_robust_statistics, fgsl_multifit_robust, &
fgsl_multifit_robust_est
public :: fgsl_multifit_fdfridge_alloc, fgsl_multifit_fdfridge_free, &
fgsl_multifit_fdfridge_name, fgsl_multifit_fdfridge_position, &
fgsl_multifit_fdfridge_residual, fgsl_multifit_fdfridge_niter, &
fgsl_multifit_fdfridge_set, fgsl_multifit_fdfridge_wset, &
fgsl_multifit_fdfridge_set2, fgsl_multifit_fdfridge_wset2, &
fgsl_multifit_fdfridge_set3, fgsl_multifit_fdfridge_wset3, &
fgsl_multifit_fdfridge_iterate, fgsl_multifit_fdfridge_driver
!
! new nonlinear fitting interfaces
public :: fgsl_multifit_nlinear_alloc, fgsl_multilarge_nlinear_alloc, &
fgsl_multifit_nlinear_default_parameters, fgsl_multilarge_nlinear_default_parameters, &
fgsl_multifit_nlinear_init, fgsl_multifit_nlinear_winit, &
fgsl_multilarge_nlinear_init, fgsl_multilarge_nlinear_winit, &
fgsl_multifit_nlinear_free, fgsl_multilarge_nlinear_free, &
fgsl_multifit_nlinear_name, fgsl_multilarge_nlinear_name, &
fgsl_multifit_nlinear_trs_name, fgsl_multilarge_nlinear_trs_name, &
fgsl_multifit_nlinear_iterate, fgsl_multilarge_nlinear_iterate, &
fgsl_multifit_nlinear_position, fgsl_multilarge_nlinear_position, &
fgsl_multifit_nlinear_residual, fgsl_multilarge_nlinear_residual, &
fgsl_multifit_nlinear_jac, fgsl_multifit_nlinear_niter, fgsl_multilarge_nlinear_niter, &
fgsl_multifit_nlinear_rcond, fgsl_multilarge_nlinear_rcond, &
fgsl_multifit_nlinear_test, fgsl_multilarge_nlinear_test, &
fgsl_multifit_nlinear_driver, fgsl_multilarge_nlinear_driver, &
fgsl_multifit_nlinear_covar, fgsl_multilarge_nlinear_covar, &
fgsl_multifit_nlinear_fdf_init, fgsl_multifit_nlinear_fdf_free, &
fgsl_multifit_nlinear_fdf_get, fgsl_multifit_nlinear_parameters_set, &
fgsl_multilarge_nlinear_fdf_init, fgsl_multilarge_nlinear_fdf_free, &
fgsl_multilarge_nlinear_fdf_get, fgsl_multilarge_nlinear_parameters_set
!
! large linear least squares systems
public :: fgsl_multilarge_linear_alloc, fgsl_multilarge_linear_free, &
fgsl_multilarge_linear_name, fgsl_multilarge_linear_reset, &
fgsl_multilarge_linear_accumulate, fgsl_multilarge_linear_solve, &
fgsl_multilarge_linear_rcond, fgsl_multilarge_linear_lcurve, &
fgsl_multilarge_linear_wstdform1, fgsl_multilarge_linear_stdform1, &
fgsl_multilarge_linear_l_decomp, fgsl_multilarge_linear_wstdform2, &
fgsl_multilarge_linear_stdform2, fgsl_multilarge_linear_genform1, &
fgsl_multilarge_linear_genform2
! statistics
public :: fgsl_stats_mean, fgsl_stats_variance, fgsl_stats_variance_m, &
fgsl_stats_sd, fgsl_stats_sd_m, fgsl_stats_variance_with_fixed_mean, &
fgsl_stats_sd_with_fixed_mean, fgsl_stats_absdev, fgsl_stats_absdev_m, &
fgsl_stats_skew, fgsl_stats_skew_m_sd, fgsl_stats_kurtosis, &
fgsl_stats_kurtosis_m_sd, fgsl_stats_lag1_autocorrelation, fgsl_stats_lag1_autocorrelation_m, &
fgsl_stats_covariance, fgsl_stats_correlation, fgsl_stats_covariance_m, &
fgsl_stats_wmean, fgsl_stats_wvariance, fgsl_stats_wvariance_m, &
fgsl_stats_wsd, fgsl_stats_wsd_m, &
fgsl_stats_wvariance_with_fixed_mean, fgsl_stats_wsd_with_fixed_mean, &
fgsl_stats_wabsdev, fgsl_stats_wabsdev_m, fgsl_stats_wskew, &
fgsl_stats_wskew_m_sd, fgsl_stats_wkurtosis, fgsl_stats_wkurtosis_m_sd, fgsl_stats_max, &
fgsl_stats_min, fgsl_stats_minmax, fgsl_stats_max_index, &
fgsl_stats_min_index, fgsl_stats_minmax_index, fgsl_stats_median_from_sorted_data, &
fgsl_stats_quantile_from_sorted_data
public :: fgsl_stats_spearman, &
fgsl_stats_median, fgsl_stats_select, &
fgsl_stats_trmean_from_sorted_data, &
fgsl_stats_gastwirth_from_sorted_data, &
fgsl_stats_mad, fgsl_stats_mad0, &
fgsl_stats_sn0_from_sorted_data, fgsl_stats_sn_from_sorted_data, &
fgsl_stats_qn0_from_sorted_data, fgsl_stats_qn_from_sorted_data
! B-splines
public :: fgsl_bspline_alloc, fgsl_bspline_free, fgsl_bspline_knots, &
fgsl_bspline_knots_uniform, fgsl_bspline_eval, &
fgsl_bspline_eval_nonzero, fgsl_bspline_ncoeffs, &
fgsl_bspline_deriv_eval, fgsl_bspline_deriv_eval_nonzero, &
fgsl_bspline_greville_abscissa
public :: fgsl_bspline_knots_greville
! sparse matrices
public :: fgsl_spmatrix_alloc, fgsl_spmatrix_alloc_nzmax, fgsl_spmatrix_size, &
fgsl_spmatrix_free, fgsl_spmatrix_realloc, fgsl_spmatrix_set_zero, &
fgsl_spmatrix_nnz, fgsl_spmatrix_memcpy, &
fgsl_spmatrix_get, fgsl_spmatrix_set, fgsl_spmatrix_compcol, &
fgsl_spmatrix_cumsum, fgsl_spmatrix_scale, fgsl_spmatrix_minmax, &
fgsl_spmatrix_add, fgsl_spmatrix_d2sp, fgsl_spmatrix_sp2d, &
fgsl_spmatrix_equal, fgsl_spmatrix_transpose_memcpy, &
fgsl_spmatrix_transpose, fgsl_spmatrix_scale_columns, &
fgsl_spmatrix_scale_rows, fgsl_spmatrix_add_to_dense, fgsl_spmatrix_min_index, &
fgsl_spmatrix_csc, fgsl_spmatrix_csr, fgsl_spmatrix_compress, &
fgsl_spmatrix_fwrite, fgsl_spmatrix_fread, fgsl_spmatrix_fscanf, &
fgsl_spmatrix_fprintf, fgsl_spblas_dgemv, fgsl_spblas_dgemm, &
fgsl_spmatrix_getfields
! sparse matrix linear algebra
public :: fgsl_splinalg_itersolve_alloc, fgsl_splinalg_itersolve_free, &
fgsl_splinalg_itersolve_name, fgsl_splinalg_itersolve_iterate, &
fgsl_splinalg_itersolve_normr
! running statistics
public :: fgsl_rstat_quantile_alloc, fgsl_rstat_quantile_free, &
fgsl_rstat_quantile_add, fgsl_rstat_quantile_get, &
fgsl_rstat_quantile_reset, &
fgsl_rstat_alloc, fgsl_rstat_free, fgsl_rstat_n, &
fgsl_rstat_add, fgsl_rstat_min, fgsl_rstat_max, &
fgsl_rstat_mean, fgsl_rstat_rms, fgsl_rstat_variance, fgsl_rstat_sd, &
fgsl_rstat_sd_mean, fgsl_rstat_median, fgsl_rstat_skew, &
fgsl_rstat_kurtosis, fgsl_rstat_reset
! moving window statistics
public :: fgsl_movstat_alloc, fgsl_movstat_alloc2, fgsl_movstat_free, &
fgsl_movstat_mean, fgsl_movstat_variance, fgsl_movstat_sd, &
fgsl_movstat_min, fgsl_movstat_max, fgsl_movstat_minmax, &
fgsl_movstat_sum, fgsl_movstat_median, fgsl_movstat_mad0, &
fgsl_movstat_mad, fgsl_movstat_qqr, fgsl_movstat_sn, &
fgsl_movstat_qn, fgsl_movstat_apply, fgsl_movstat_fill
! digital filtering
public :: fgsl_filter_gaussian_alloc, fgsl_filter_gaussian_free, &
fgsl_filter_gaussian, fgsl_filter_gaussian_kernel, &
fgsl_filter_median_alloc, fgsl_filter_median_free, &
fgsl_filter_median, fgsl_filter_rmedian_alloc, &
fgsl_filter_rmedian_free, fgsl_filter_rmedian, &
fgsl_filter_impulse_alloc, fgsl_filter_impulse_free, &
fgsl_filter_impulse
! IEEE
public :: fgsl_ieee_fprintf, fgsl_ieee_printf, fgsl_ieee_env_setup
!
!
! Kind and length parameters are default integer
!
integer, parameter, public :: fgsl_double = c_double
integer, parameter, public :: fgsl_double_complex = c_double_complex
! integer, parameter, public :: fgsl_extended = selected_real_kind(18)
integer, parameter, public :: fgsl_extended = selected_real_kind(13)
! FIXME - c_long_double unsupported, selected_real_kind(30) unsupported in g95
integer, parameter, public :: fgsl_float = c_float
integer, parameter, public :: fgsl_int = c_int
integer, parameter, public :: fgsl_long = c_long
integer, parameter, public :: fgsl_size_t = c_size_t
integer, parameter, public :: fgsl_char = c_char
integer, parameter, public :: fgsl_strmax = 128
integer, parameter, public :: fgsl_pathmax = 2048
!
! Version strings
!
character(kind=fgsl_char, len=*), public, parameter ::&
fgsl_version=PACKAGE_VERSION
character(kind=fgsl_char, len=*), public, parameter ::&
fgsl_gslbase=GSL_VERSION
!
! Error codes
!
integer(fgsl_int), parameter, public :: fgsl_success = 0
integer(fgsl_int), parameter, public :: fgsl_failure = -1
integer(fgsl_int), parameter, public :: fgsl_continue = -2 ! iteration has not converged
integer(fgsl_int), parameter, public :: fgsl_edom = 1 ! input domain error, e.g. sqrt(-1)
integer(fgsl_int), parameter, public :: fgsl_erange = 2 ! output range error, e.g. exp(1e100)
integer(fgsl_int), parameter, public :: fgsl_efault = 3 ! invalid pointer
integer(fgsl_int), parameter, public :: fgsl_einval = 4 ! invalid argument supplied by user
integer(fgsl_int), parameter, public :: fgsl_efactor = 6 ! generic failure
integer(fgsl_int), parameter, public :: fgsl_esanity = 7 ! sanity check failed - shouldn't happen
integer(fgsl_int), parameter, public :: fgsl_enomem = 8 ! malloc failed
integer(fgsl_int), parameter, public :: fgsl_ebadfunc = 9 ! problem with user-supplied function
integer(fgsl_int), parameter, public :: fgsl_erunaway = 10 ! iterative process is out of control
integer(fgsl_int), parameter, public :: fgsl_emaxiter = 11 ! exceeded max number of iterations
integer(fgsl_int), parameter, public :: fgsl_ezerodiv = 12 ! tried to divide by zero
integer(fgsl_int), parameter, public :: fgsl_ebadtol = 13 ! user specified an invalid tolerance
integer(fgsl_int), parameter, public :: fgsl_etol = 14 ! failed to reach the specified tolerance
integer(fgsl_int), parameter, public :: fgsl_eundrflw = 15 ! underflow
integer(fgsl_int), parameter, public :: fgsl_eovrflw = 16 ! overflow
integer(fgsl_int), parameter, public :: fgsl_eloss = 17 ! loss of accuracy
integer(fgsl_int), parameter, public :: fgsl_eround = 18 ! failed because of roundoff error
integer(fgsl_int), parameter, public :: fgsl_ebadlen = 19 ! matrix, vector lengths are not conformant
integer(fgsl_int), parameter, public :: fgsl_enotsqr = 20 ! matrix not square
integer(fgsl_int), parameter, public :: fgsl_esing = 21 ! apparent singularity detected
integer(fgsl_int), parameter, public :: fgsl_ediverge = 22 ! integral or series is divergent
integer(fgsl_int), parameter, public :: fgsl_eunsup = 23 ! no hw support for requested feature
integer(fgsl_int), parameter, public :: fgsl_eunimpl = 24 ! requested feature not (yet) implemented
integer(fgsl_int), parameter, public :: fgsl_ecache = 25 ! cache limit exceeded
integer(fgsl_int), parameter, public :: fgsl_etable = 26 ! table limit exceeded
integer(fgsl_int), parameter, public :: fgsl_enoprog = 27 ! iteration: no progress towards solution
integer(fgsl_int), parameter, public :: fgsl_enoprogj = 28 ! jacobian evals not improving the solution
integer(fgsl_int), parameter, public :: fgsl_etolf = 29 ! can't reach specified tolerance in F
integer(fgsl_int), parameter, public :: fgsl_etolx = 30 ! can't reach specified tolerance in X
integer(fgsl_int), parameter, public :: fgsl_etolg = 31 ! can't reach specified tolerance in gradient
integer(fgsl_int), parameter, public :: fgsl_eof = 32 ! end of file
!
! mathematical constants from gsl_math.h
!
real(fgsl_extended), parameter, public :: m_e = 2.71828182845904523536028747135_fgsl_extended
real(fgsl_extended), parameter, public :: m_log2e = 1.44269504088896340735992468100_fgsl_extended
real(fgsl_extended), parameter, public :: m_log10e = 0.43429448190325182765112891892_fgsl_extended
real(fgsl_extended), parameter, public :: m_sqrt2 = 1.41421356237309504880168872421_fgsl_extended
real(fgsl_extended), parameter, public :: m_sqrt1_2 = 0.70710678118654752440084436210_fgsl_extended
real(fgsl_extended), parameter, public :: m_sqrt3 = 1.73205080756887729352744634151_fgsl_extended
real(fgsl_extended), parameter, public :: m_pi = 3.14159265358979323846264338328_fgsl_extended
real(fgsl_extended), parameter, public :: m_pi_2 = 1.57079632679489661923132169164_fgsl_extended
real(fgsl_extended), parameter, public :: m_pi_4 = 0.78539816339744830961566084582_fgsl_extended
real(fgsl_extended), parameter, public :: m_sqrtpi = 1.77245385090551602729816748334_fgsl_extended
real(fgsl_extended), parameter, public :: m_2_sqrtpi = 1.12837916709551257389615890312_fgsl_extended
real(fgsl_extended), parameter, public :: m_1_pi = 0.31830988618379067153776752675_fgsl_extended
real(fgsl_extended), parameter, public :: m_2_pi = 0.63661977236758134307553505349_fgsl_extended
real(fgsl_extended), parameter, public :: m_ln10 = 2.30258509299404568401799145468_fgsl_extended
real(fgsl_extended), parameter, public :: m_ln2 = 0.69314718055994530941723212146_fgsl_extended
real(fgsl_extended), parameter, public :: m_lnpi = 1.14472988584940017414342735135_fgsl_extended
real(fgsl_extended), parameter, public :: m_euler = 0.57721566490153286060651209008_fgsl_extended
! the following provokes warnings from g95 ... may need to change if refused by other compilers
! real(fgsl_double), parameter, public :: fgsl_posinf = 1.0_fgsl_double / 0.0_fgsl_double
! real(fgsl_double), parameter, public :: fgsl_neginf = -1.0_fgsl_double / 0.0_fgsl_double
! real(fgsl_double), parameter, public :: fgsl_nan = 0.0_fgsl_double / 0.0_fgsl_double
! probably should throw this out - use IEEE_VALUE intrinsic if these are needed.
!
! Numerical constants
!
real(fgsl_double), parameter, public :: fgsl_const_num_fine_structure = 7.297352533E-3_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_num_avogadro = 6.02214199E23_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_num_yotta = 1e24_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_num_zetta = 1e21_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_num_exa = 1e18_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_num_peta = 1e15_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_num_tera = 1e12_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_num_giga = 1e9_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_num_mega = 1e6_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_num_kilo = 1e3_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_num_milli = 1e-3_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_num_micro = 1e-6_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_num_nano = 1e-9_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_num_pico = 1e-12_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_num_femto = 1e-15_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_num_atto = 1e-18_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_num_zepto = 1e-21_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_num_yocto = 1e-24_fgsl_double
!
! MKSA physical units
!
real(fgsl_double), parameter, public :: fgsl_const_mksa_speed_of_light = 2.99792458e8_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_gravitational_constant = 6.673e-11_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_plancks_constant_h = 6.62606896e-34_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_plancks_constant_hbar = 1.05457162825e-34_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_astronomical_unit = 1.49597870691e11_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_light_year = 9.46053620707e15_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_parsec = 3.08567758135e16_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_grav_accel = 9.80665e0_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_electron_volt = 1.602176487e-19_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_mass_electron = 9.10938188e-31_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_mass_muon = 1.88353109e-28_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_mass_proton = 1.67262158e-27_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_mass_neutron = 1.67492716e-27_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_rydberg = 2.17987196968e-18_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_boltzmann = 1.3806504e-23_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_bohr_magneton = 9.27400899e-24_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_nuclear_magneton = 5.05078317e-27_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_electron_magnetic_moment = 9.28476362e-24_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_proton_magnetic_moment = 1.410606633e-26_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_molar_gas = 8.314472e0_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_standard_gas_volume = 2.2710981e-2_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_minute = 6e1_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_hour = 3.6e3_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_day = 8.64e4_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_week = 6.048e5_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_inch = 2.54e-2_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_foot = 3.048e-1_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_yard = 9.144e-1_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_mile = 1.609344e3_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_nautical_mile = 1.852e3_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_fathom = 1.8288e0_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_mil = 2.54e-5_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_point = 3.52777777778e-4_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_texpoint = 3.51459803515e-4_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_micron = 1e-6_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_angstrom = 1e-10_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_hectare = 1e4_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_acre = 4.04685642241e3_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_barn = 1e-28_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_liter = 1e-3_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_us_gallon = 3.78541178402e-3_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_quart = 9.46352946004e-4_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_pint = 4.73176473002e-4_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_cup = 2.36588236501e-4_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_fluid_ounce = 2.95735295626e-5_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_tablespoon = 1.47867647813e-5_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_teaspoon = 4.92892159375e-6_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_canadian_gallon = 4.54609e-3_fgsl_double
real(fgsl_double), parameter, public :: fgsl_const_mksa_uk_gallon = 4.546092e-3_fgsl_double