#
# GENERATED WITH PDL::PP! Don't modify!
#
package PDL::GSLSF::LEGENDRE;
our @EXPORT_OK = qw(PDL::PP gsl_sf_legendre_Pl PDL::PP gsl_sf_legendre_Pl_array PDL::PP gsl_sf_legendre_Ql PDL::PP gsl_sf_legendre_Plm PDL::PP gsl_sf_legendre_array PDL::PP gsl_sf_legendre_array_index PDL::PP gsl_sf_legendre_sphPlm PDL::PP gsl_sf_conicalP_half PDL::PP gsl_sf_conicalP_mhalf PDL::PP gsl_sf_conicalP_0 PDL::PP gsl_sf_conicalP_1 PDL::PP gsl_sf_conicalP_sph_reg PDL::PP gsl_sf_conicalP_cyl_reg_e PDL::PP gsl_sf_legendre_H3d PDL::PP gsl_sf_legendre_H3d_array );
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::LEGENDRE ;
=head1 NAME
PDL::GSLSF::LEGENDRE - 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_legendre_Pl
=for sig
Signature: (double x(); double [o]y(); double [o]e(); int l)
=for ref
P_l(x)
=for bad
gsl_sf_legendre_Pl does not process bad values.
It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
=cut
*gsl_sf_legendre_Pl = \&PDL::gsl_sf_legendre_Pl;
=head2 gsl_sf_legendre_Pl_array
=for sig
Signature: (double x(); double [o]y(num); int l=>num)
=for ref
P_l(x) from 0 to n-1.
=for bad
gsl_sf_legendre_Pl_array does not process bad values.
It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
=cut
*gsl_sf_legendre_Pl_array = \&PDL::gsl_sf_legendre_Pl_array;
=head2 gsl_sf_legendre_Ql
=for sig
Signature: (double x(); double [o]y(); double [o]e(); int l)
=for ref
Q_l(x)
=for bad
gsl_sf_legendre_Ql does not process bad values.
It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
=cut
*gsl_sf_legendre_Ql = \&PDL::gsl_sf_legendre_Ql;
=head2 gsl_sf_legendre_Plm
=for sig
Signature: (double x(); double [o]y(); double [o]e(); int l; int m)
=for ref
P_lm(x)
=for bad
gsl_sf_legendre_Plm does not process bad values.
It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
=cut
*gsl_sf_legendre_Plm = \&PDL::gsl_sf_legendre_Plm;
=head2 gsl_sf_legendre_array
=for sig
Signature: (double x(); double [o]y(n); double [t]work(wn); char norm; int lmax; int csphase)
=for ref
Calculate all normalized associated Legendre polynomials.
=for usage
$Plm = gsl_sf_legendre_array($x,'P',4,-1);
The calculation is done for degree 0 <= l <= lmax and order 0 <= m <= l on the range abs(x)<=1.
The parameter norm should be:
=over 3
=item 'P' for unnormalized associated Legendre polynomials P_l^m(x),
=item 'S' for Schmidt semi-normalized associated Legendre polynomials S_l^m(x),
=item 'Y' for spherical harmonic associated Legendre polynomials Y_l^m(x), or
=item 'N' for fully normalized associated Legendre polynomials N_l^m(x).
=back
lmax is the maximum degree l.
csphase should be (-1) to INCLUDE the Condon-Shortley phase factor (-1)^m, or (+1) to EXCLUDE it.
See L</gsl_sf_legendre_array_index> to get the value of C<l> and C<m> in the returned vector.
=for bad
gsl_sf_legendre_array processes bad values.
It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
=cut
*gsl_sf_legendre_array = \&PDL::gsl_sf_legendre_array;
=head2 gsl_sf_legendre_array_index
=for sig
Signature: (int [o]l(n); int [o]m(n); int lmax)
=for ref
Calculate the relation between gsl_sf_legendre_arrays index and l and m values.
=for usage
($l,$m) = gsl_sf_legendre_array_index($lmax);
Note that this function is called differently than the corresponding GSL function, to make it more useful for PDL: here you just input the maximum l (lmax) that was used in C<gsl_sf_legendre_array> and it calculates all l and m values.
=for bad
gsl_sf_legendre_array_index does not process bad values.
It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
=cut
*gsl_sf_legendre_array_index = \&PDL::gsl_sf_legendre_array_index;
=head2 gsl_sf_legendre_sphPlm
=for sig
Signature: (double x(); double [o]y(); double [o]e(); int l; int m)
=for ref
P_lm(x), normalized properly for use in spherical harmonics
=for bad
gsl_sf_legendre_sphPlm does not process bad values.
It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
=cut
*gsl_sf_legendre_sphPlm = \&PDL::gsl_sf_legendre_sphPlm;
=head2 gsl_sf_conicalP_half
=for sig
Signature: (double x(); double [o]y(); double [o]e(); double lambda)
=for ref
Irregular Spherical Conical Function P^{1/2}_{-1/2 + I lambda}(x)
=for bad
gsl_sf_conicalP_half does not process bad values.
It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
=cut
*gsl_sf_conicalP_half = \&PDL::gsl_sf_conicalP_half;
=head2 gsl_sf_conicalP_mhalf
=for sig
Signature: (double x(); double [o]y(); double [o]e(); double lambda)
=for ref
Regular Spherical Conical Function P^{-1/2}_{-1/2 + I lambda}(x)
=for bad
gsl_sf_conicalP_mhalf does not process bad values.
It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
=cut
*gsl_sf_conicalP_mhalf = \&PDL::gsl_sf_conicalP_mhalf;
=head2 gsl_sf_conicalP_0
=for sig
Signature: (double x(); double [o]y(); double [o]e(); double lambda)
=for ref
Conical Function P^{0}_{-1/2 + I lambda}(x)
=for bad
gsl_sf_conicalP_0 does not process bad values.
It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
=cut
*gsl_sf_conicalP_0 = \&PDL::gsl_sf_conicalP_0;
=head2 gsl_sf_conicalP_1
=for sig
Signature: (double x(); double [o]y(); double [o]e(); double lambda)
=for ref
Conical Function P^{1}_{-1/2 + I lambda}(x)
=for bad
gsl_sf_conicalP_1 does not process bad values.
It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
=cut
*gsl_sf_conicalP_1 = \&PDL::gsl_sf_conicalP_1;
=head2 gsl_sf_conicalP_sph_reg
=for sig
Signature: (double x(); double [o]y(); double [o]e(); int l; double lambda)
=for ref
Regular Spherical Conical Function P^{-1/2-l}_{-1/2 + I lambda}(x)
=for bad
gsl_sf_conicalP_sph_reg does not process bad values.
It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
=cut
*gsl_sf_conicalP_sph_reg = \&PDL::gsl_sf_conicalP_sph_reg;
=head2 gsl_sf_conicalP_cyl_reg_e
=for sig
Signature: (double x(); double [o]y(); double [o]e(); int m; double lambda)
=for ref
Regular Cylindrical Conical Function P^{-m}_{-1/2 + I lambda}(x)
=for bad
gsl_sf_conicalP_cyl_reg_e does not process bad values.
It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
=cut
*gsl_sf_conicalP_cyl_reg_e = \&PDL::gsl_sf_conicalP_cyl_reg_e;
=head2 gsl_sf_legendre_H3d
=for sig
Signature: (double [o]y(); double [o]e(); int l; double lambda; double eta)
=for ref
lth radial eigenfunction of the Laplacian on the 3-dimensional hyperbolic space.
=for bad
gsl_sf_legendre_H3d does not process bad values.
It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
=cut
*gsl_sf_legendre_H3d = \&PDL::gsl_sf_legendre_H3d;
=head2 gsl_sf_legendre_H3d_array
=for sig
Signature: (double [o]y(num); int l=>num; double lambda; double eta)
=for ref
Array of H3d(ell), for l from 0 to n-1.
=for bad
gsl_sf_legendre_H3d_array does not process bad values.
It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.
=cut
*gsl_sf_legendre_H3d_array = \&PDL::gsl_sf_legendre_H3d_array;
;
=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;