# # GENERATED WITH PDL::PP! Don't modify! # package PDL::GSLSF::BESSEL; our @EXPORT_OK = qw(gsl_sf_bessel_Jn gsl_sf_bessel_Jn_array gsl_sf_bessel_Yn gsl_sf_bessel_Yn_array gsl_sf_bessel_In gsl_sf_bessel_I_array gsl_sf_bessel_In_scaled gsl_sf_bessel_In_scaled_array gsl_sf_bessel_Kn gsl_sf_bessel_K_array gsl_sf_bessel_Kn_scaled gsl_sf_bessel_Kn_scaled_array gsl_sf_bessel_jl gsl_sf_bessel_jl_array gsl_sf_bessel_yl gsl_sf_bessel_yl_array gsl_sf_bessel_il_scaled gsl_sf_bessel_il_scaled_array gsl_sf_bessel_kl_scaled gsl_sf_bessel_kl_scaled_array gsl_sf_bessel_Jnu gsl_sf_bessel_Ynu gsl_sf_bessel_Inu_scaled gsl_sf_bessel_Inu gsl_sf_bessel_Knu_scaled gsl_sf_bessel_Knu gsl_sf_bessel_lnKnu ); our %EXPORT_TAGS = (Func=>\@EXPORT_OK); use PDL::Core; use PDL::Exporter; use DynaLoader; our @ISA = ( 'PDL::Exporter','DynaLoader' ); push @PDL::Core::PP, __PACKAGE__; bootstrap PDL::GSLSF::BESSEL ; =head1 NAME PDL::GSLSF::BESSEL - PDL interface to GSL Special Functions =head1 DESCRIPTION This is an interface to the Special Function package present in the GNU Scientific Library. =head1 SYNOPSIS =cut =head1 FUNCTIONS =cut =head2 gsl_sf_bessel_Jn =for sig Signature: (double x(); double [o]y(); double [o]e(); int n) =for ref Regular Bessel Function J_n(x). =for bad gsl_sf_bessel_Jn does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_Jn = \&PDL::gsl_sf_bessel_Jn; =head2 gsl_sf_bessel_Jn_array =for sig Signature: (double x(); double [o]y(num); int s; int n=>num) =for ref Array of Regular Bessel Functions J_{s}(x) to J_{s+n-1}(x). =for bad gsl_sf_bessel_Jn_array does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_Jn_array = \&PDL::gsl_sf_bessel_Jn_array; =head2 gsl_sf_bessel_Yn =for sig Signature: (double x(); double [o]y(); double [o]e(); int n) =for ref IrRegular Bessel Function Y_n(x). =for bad gsl_sf_bessel_Yn does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_Yn = \&PDL::gsl_sf_bessel_Yn; =head2 gsl_sf_bessel_Yn_array =for sig Signature: (double x(); double [o]y(num); int s; int n=>num) =for ref Array of Regular Bessel Functions Y_{s}(x) to Y_{s+n-1}(x). =for bad gsl_sf_bessel_Yn_array does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_Yn_array = \&PDL::gsl_sf_bessel_Yn_array; =head2 gsl_sf_bessel_In =for sig Signature: (double x(); double [o]y(); double [o]e(); int n) =for ref Regular Modified Bessel Function I_n(x). =for bad gsl_sf_bessel_In does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_In = \&PDL::gsl_sf_bessel_In; =head2 gsl_sf_bessel_I_array =for sig Signature: (double x(); double [o]y(num); int s; int n=>num) =for ref Array of Regular Modified Bessel Functions I_{s}(x) to I_{s+n-1}(x). =for bad gsl_sf_bessel_I_array does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_I_array = \&PDL::gsl_sf_bessel_I_array; =head2 gsl_sf_bessel_In_scaled =for sig Signature: (double x(); double [o]y(); double [o]e(); int n) =for ref Scaled Regular Modified Bessel Function exp(-|x|) I_n(x). =for bad gsl_sf_bessel_In_scaled does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_In_scaled = \&PDL::gsl_sf_bessel_In_scaled; =head2 gsl_sf_bessel_In_scaled_array =for sig Signature: (double x(); double [o]y(num); int s; int n=>num) =for ref Array of Scaled Regular Modified Bessel Functions exp(-|x|) I_{s}(x) to exp(-|x|) I_{s+n-1}(x). =for bad gsl_sf_bessel_In_scaled_array does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_In_scaled_array = \&PDL::gsl_sf_bessel_In_scaled_array; =head2 gsl_sf_bessel_Kn =for sig Signature: (double x(); double [o]y(); double [o]e(); int n) =for ref IrRegular Modified Bessel Function K_n(x). =for bad gsl_sf_bessel_Kn does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_Kn = \&PDL::gsl_sf_bessel_Kn; =head2 gsl_sf_bessel_K_array =for sig Signature: (double x(); double [o]y(num); int s; int n=>num) =for ref Array of IrRegular Modified Bessel Functions K_{s}(x) to K_{s+n-1}(x). =for bad gsl_sf_bessel_K_array does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_K_array = \&PDL::gsl_sf_bessel_K_array; =head2 gsl_sf_bessel_Kn_scaled =for sig Signature: (double x(); double [o]y(); double [o]e(); int n) =for ref Scaled IrRegular Modified Bessel Function exp(-|x|) K_n(x). =for bad gsl_sf_bessel_Kn_scaled does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_Kn_scaled = \&PDL::gsl_sf_bessel_Kn_scaled; =head2 gsl_sf_bessel_Kn_scaled_array =for sig Signature: (double x(); double [o]y(num); int s; int n=>num) =for ref Array of Scaled IrRegular Modified Bessel Functions exp(-|x|) K_{s}(x) to exp(-|x|) K_{s+n-1}(x). =for bad gsl_sf_bessel_Kn_scaled_array does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_Kn_scaled_array = \&PDL::gsl_sf_bessel_Kn_scaled_array; =head2 gsl_sf_bessel_jl =for sig Signature: (double x(); double [o]y(); double [o]e(); int n) =for ref Regular Sphericl Bessel Function J_n(x). =for bad gsl_sf_bessel_jl does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_jl = \&PDL::gsl_sf_bessel_jl; =head2 gsl_sf_bessel_jl_array =for sig Signature: (double x(); double [o]y(num); int n=>num) =for ref Array of Spherical Regular Bessel Functions J_{0}(x) to J_{n-1}(x). =for bad gsl_sf_bessel_jl_array does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_jl_array = \&PDL::gsl_sf_bessel_jl_array; =head2 gsl_sf_bessel_yl =for sig Signature: (double x(); double [o]y(); double [o]e(); int n) =for ref IrRegular Spherical Bessel Function y_n(x). =for bad gsl_sf_bessel_yl does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_yl = \&PDL::gsl_sf_bessel_yl; =head2 gsl_sf_bessel_yl_array =for sig Signature: (double x(); double [o]y(num); int n=>num) =for ref Array of Regular Spherical Bessel Functions y_{0}(x) to y_{n-1}(x). =for bad gsl_sf_bessel_yl_array does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_yl_array = \&PDL::gsl_sf_bessel_yl_array; =head2 gsl_sf_bessel_il_scaled =for sig Signature: (double x(); double [o]y(); double [o]e(); int n) =for ref Scaled Regular Modified Spherical Bessel Function exp(-|x|) i_n(x). =for bad gsl_sf_bessel_il_scaled does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_il_scaled = \&PDL::gsl_sf_bessel_il_scaled; =head2 gsl_sf_bessel_il_scaled_array =for sig Signature: (double x(); double [o]y(num); int n=>num) =for ref Array of Scaled Regular Modified Spherical Bessel Functions exp(-|x|) i_{0}(x) to exp(-|x|) i_{n-1}(x). =for bad gsl_sf_bessel_il_scaled_array does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_il_scaled_array = \&PDL::gsl_sf_bessel_il_scaled_array; =head2 gsl_sf_bessel_kl_scaled =for sig Signature: (double x(); double [o]y(); double [o]e(); int n) =for ref Scaled IrRegular Modified Spherical Bessel Function exp(-|x|) k_n(x). =for bad gsl_sf_bessel_kl_scaled does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_kl_scaled = \&PDL::gsl_sf_bessel_kl_scaled; =head2 gsl_sf_bessel_kl_scaled_array =for sig Signature: (double x(); double [o]y(num); int n=>num) =for ref Array of Scaled IrRegular Modified Spherical Bessel Functions exp(-|x|) k_{s}(x) to exp(-|x|) k_{s+n-1}(x). =for bad gsl_sf_bessel_kl_scaled_array does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_kl_scaled_array = \&PDL::gsl_sf_bessel_kl_scaled_array; =head2 gsl_sf_bessel_Jnu =for sig Signature: (double x(); double [o]y(); double [o]e(); double n) =for ref Regular Cylindrical Bessel Function J_nu(x). =for bad gsl_sf_bessel_Jnu does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_Jnu = \&PDL::gsl_sf_bessel_Jnu; =head2 gsl_sf_bessel_Ynu =for sig Signature: (double x(); double [o]y(); double [o]e(); double n) =for ref IrRegular Cylindrical Bessel Function J_nu(x). =for bad gsl_sf_bessel_Ynu does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_Ynu = \&PDL::gsl_sf_bessel_Ynu; =head2 gsl_sf_bessel_Inu_scaled =for sig Signature: (double x(); double [o]y(); double [o]e(); double n) =for ref Scaled Modified Cylindrical Bessel Function exp(-|x|) I_nu(x). =for bad gsl_sf_bessel_Inu_scaled does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_Inu_scaled = \&PDL::gsl_sf_bessel_Inu_scaled; =head2 gsl_sf_bessel_Inu =for sig Signature: (double x(); double [o]y(); double [o]e(); double n) =for ref Modified Cylindrical Bessel Function I_nu(x). =for bad gsl_sf_bessel_Inu does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_Inu = \&PDL::gsl_sf_bessel_Inu; =head2 gsl_sf_bessel_Knu_scaled =for sig Signature: (double x(); double [o]y(); double [o]e(); double n) =for ref Scaled Modified Cylindrical Bessel Function exp(-|x|) K_nu(x). =for bad gsl_sf_bessel_Knu_scaled does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_Knu_scaled = \&PDL::gsl_sf_bessel_Knu_scaled; =head2 gsl_sf_bessel_Knu =for sig Signature: (double x(); double [o]y(); double [o]e(); double n) =for ref Modified Cylindrical Bessel Function K_nu(x). =for bad gsl_sf_bessel_Knu does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_Knu = \&PDL::gsl_sf_bessel_Knu; =head2 gsl_sf_bessel_lnKnu =for sig Signature: (double x(); double [o]y(); double [o]e(); double n) =for ref Logarithm of Modified Cylindrical Bessel Function K_nu(x). =for bad gsl_sf_bessel_lnKnu does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. =cut *gsl_sf_bessel_lnKnu = \&PDL::gsl_sf_bessel_lnKnu; =head1 AUTHOR This file copyright (C) 1999 Christian Pellegrin <chri@infis.univ.trieste.it> All rights reserved. There is no warranty. You are allowed to redistribute this software / documentation under certain conditions. For details, see the file COPYING in the PDL distribution. If this file is separated from the PDL distribution, the copyright notice should be included in the file. The GSL SF modules were written by G. Jungman. =cut # Exit with OK status 1;