"Fossies" - the Fresh Open Source Software Archive  

Source code changes of the file "GENERATED/PDL/GSLSF/LEGENDRE.pm" between
PDL-2.074.tar.gz and PDL-2.075.tar.gz

About: PDL (Perl Data Language) aims to turn perl into an efficient numerical language for scientific computing (similar to IDL and MatLab).

LEGENDRE.pm  (PDL-2.074):LEGENDRE.pm  (PDL-2.075)
skipping to change at line 17 skipping to change at line 17
our %EXPORT_TAGS = (Func=>\@EXPORT_OK); our %EXPORT_TAGS = (Func=>\@EXPORT_OK);
use PDL::Core; use PDL::Core;
use PDL::Exporter; use PDL::Exporter;
use DynaLoader; use DynaLoader;
our @ISA = ( 'PDL::Exporter','DynaLoader' ); our @ISA = ( 'PDL::Exporter','DynaLoader' );
push @PDL::Core::PP, __PACKAGE__; push @PDL::Core::PP, __PACKAGE__;
bootstrap PDL::GSLSF::LEGENDRE ; bootstrap PDL::GSLSF::LEGENDRE ;
#line 6 "gsl_sf_legendre.pd" #line 5 "gsl_sf_legendre.pd"
use strict; use strict;
use warnings; use warnings;
=head1 NAME =head1 NAME
PDL::GSLSF::LEGENDRE - PDL interface to GSL Special Functions PDL::GSLSF::LEGENDRE - PDL interface to GSL Special Functions
=head1 DESCRIPTION =head1 DESCRIPTION
This is an interface to the Special Function package present in the GNU Scientif ic Library. This is an interface to the Special Function package present in the GNU Scientif ic Library.
=cut =cut
#line 38 "LEGENDRE.pm" #line 39 "LEGENDRE.pm"
=head1 FUNCTIONS =head1 FUNCTIONS
=cut =cut
#line 1059 "../../../../blib/lib/PDL/PP.pm" #line 1058 "../../../../blib/lib/PDL/PP.pm"
=head2 gsl_sf_legendre_Pl =head2 gsl_sf_legendre_Pl
=for sig =for sig
Signature: (double x(); double [o]y(); double [o]e(); int l) Signature: (double x(); double [o]y(); double [o]e(); int l)
=for ref =for ref
P_l(x) P_l(x)
=for bad =for bad
gsl_sf_legendre_Pl does not process bad values. gsl_sf_legendre_Pl 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. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
=cut =cut
#line 72 "LEGENDRE.pm" #line 74 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm"
#line 1061 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_legendre_Pl = \&PDL::gsl_sf_legendre_Pl; *gsl_sf_legendre_Pl = \&PDL::gsl_sf_legendre_Pl;
#line 78 "LEGENDRE.pm" #line 81 "LEGENDRE.pm"
#line 1059 "../../../../blib/lib/PDL/PP.pm" #line 1058 "../../../../blib/lib/PDL/PP.pm"
=head2 gsl_sf_legendre_Pl_array =head2 gsl_sf_legendre_Pl_array
=for sig =for sig
Signature: (double x(); double [o]y(num); int l=>num) Signature: (double x(); double [o]y(num); int l=>num)
=for ref =for ref
P_l(x) from 0 to n-1. P_l(x) from 0 to n-1.
=for bad =for bad
gsl_sf_legendre_Pl_array does not process bad values. gsl_sf_legendre_Pl_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. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
=cut =cut
#line 102 "LEGENDRE.pm" #line 106 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm"
#line 1061 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_legendre_Pl_array = \&PDL::gsl_sf_legendre_Pl_array; *gsl_sf_legendre_Pl_array = \&PDL::gsl_sf_legendre_Pl_array;
#line 108 "LEGENDRE.pm" #line 113 "LEGENDRE.pm"
#line 1059 "../../../../blib/lib/PDL/PP.pm" #line 1058 "../../../../blib/lib/PDL/PP.pm"
=head2 gsl_sf_legendre_Ql =head2 gsl_sf_legendre_Ql
=for sig =for sig
Signature: (double x(); double [o]y(); double [o]e(); int l) Signature: (double x(); double [o]y(); double [o]e(); int l)
=for ref =for ref
Q_l(x) Q_l(x)
=for bad =for bad
gsl_sf_legendre_Ql does not process bad values. gsl_sf_legendre_Ql 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. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
=cut =cut
#line 132 "LEGENDRE.pm" #line 138 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm"
#line 1061 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_legendre_Ql = \&PDL::gsl_sf_legendre_Ql; *gsl_sf_legendre_Ql = \&PDL::gsl_sf_legendre_Ql;
#line 138 "LEGENDRE.pm" #line 145 "LEGENDRE.pm"
#line 1059 "../../../../blib/lib/PDL/PP.pm" #line 1058 "../../../../blib/lib/PDL/PP.pm"
=head2 gsl_sf_legendre_Plm =head2 gsl_sf_legendre_Plm
=for sig =for sig
Signature: (double x(); double [o]y(); double [o]e(); int l; int m) Signature: (double x(); double [o]y(); double [o]e(); int l; int m)
=for ref =for ref
P_lm(x) P_lm(x)
=for bad =for bad
gsl_sf_legendre_Plm does not process bad values. gsl_sf_legendre_Plm 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. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
=cut =cut
#line 162 "LEGENDRE.pm" #line 170 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm"
#line 1061 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_legendre_Plm = \&PDL::gsl_sf_legendre_Plm; *gsl_sf_legendre_Plm = \&PDL::gsl_sf_legendre_Plm;
#line 168 "LEGENDRE.pm" #line 177 "LEGENDRE.pm"
#line 1059 "../../../../blib/lib/PDL/PP.pm" #line 1058 "../../../../blib/lib/PDL/PP.pm"
=head2 gsl_sf_legendre_array =head2 gsl_sf_legendre_array
=for sig =for sig
Signature: (double x(); double [o]y(n); double [t]work(wn); char norm; int lm ax; int csphase) Signature: (double x(); double [o]y(n); double [t]work(wn); char norm; int lm ax; int csphase)
=for ref =for ref
Calculate all normalized associated Legendre polynomials. Calculate all normalized associated Legendre polynomials.
skipping to change at line 175 skipping to change at line 180
csphase should be (-1) to INCLUDE the Condon-Shortley phase factor (-1)^m, or (+ 1) to EXCLUDE it. 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 ret urned vector. See L</gsl_sf_legendre_array_index> to get the value of C<l> and C<m> in the ret urned vector.
=for bad =for bad
gsl_sf_legendre_array processes bad values. gsl_sf_legendre_array processes bad values.
It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
=cut =cut
#line 219 "LEGENDRE.pm" #line 229 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm"
#line 1061 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_legendre_array = \&PDL::gsl_sf_legendre_array; *gsl_sf_legendre_array = \&PDL::gsl_sf_legendre_array;
#line 225 "LEGENDRE.pm" #line 236 "LEGENDRE.pm"
#line 1059 "../../../../blib/lib/PDL/PP.pm" #line 1058 "../../../../blib/lib/PDL/PP.pm"
=head2 gsl_sf_legendre_array_index =head2 gsl_sf_legendre_array_index
=for sig =for sig
Signature: (int [o]l(n); int [o]m(n); int lmax) Signature: (int [o]l(n); int [o]m(n); int lmax)
=for ref =for ref
Calculate the relation between gsl_sf_legendre_arrays index and l and m values. Calculate the relation between gsl_sf_legendre_arrays index and l and m values.
skipping to change at line 204 skipping to change at line 210
($l,$m) = gsl_sf_legendre_array_index($lmax); ($l,$m) = gsl_sf_legendre_array_index($lmax);
Note that this function is called differently than the corresponding GSL functio n, 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. Note that this function is called differently than the corresponding GSL functio n, 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 =for bad
gsl_sf_legendre_array_index does not process bad values. gsl_sf_legendre_array_index 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. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
=cut =cut
#line 254 "LEGENDRE.pm" #line 266 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm"
#line 1061 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_legendre_array_index = \&PDL::gsl_sf_legendre_array_index; *gsl_sf_legendre_array_index = \&PDL::gsl_sf_legendre_array_index;
#line 260 "LEGENDRE.pm" #line 273 "LEGENDRE.pm"
#line 1059 "../../../../blib/lib/PDL/PP.pm" #line 1058 "../../../../blib/lib/PDL/PP.pm"
=head2 gsl_sf_legendre_sphPlm =head2 gsl_sf_legendre_sphPlm
=for sig =for sig
Signature: (double x(); double [o]y(); double [o]e(); int l; int m) Signature: (double x(); double [o]y(); double [o]e(); int l; int m)
=for ref =for ref
P_lm(x), normalized properly for use in spherical harmonics P_lm(x), normalized properly for use in spherical harmonics
=for bad =for bad
gsl_sf_legendre_sphPlm does not process bad values. gsl_sf_legendre_sphPlm 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. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
=cut =cut
#line 284 "LEGENDRE.pm" #line 298 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm"
#line 1061 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_legendre_sphPlm = \&PDL::gsl_sf_legendre_sphPlm; *gsl_sf_legendre_sphPlm = \&PDL::gsl_sf_legendre_sphPlm;
#line 290 "LEGENDRE.pm" #line 305 "LEGENDRE.pm"
#line 1059 "../../../../blib/lib/PDL/PP.pm" #line 1058 "../../../../blib/lib/PDL/PP.pm"
=head2 gsl_sf_conicalP_half =head2 gsl_sf_conicalP_half
=for sig =for sig
Signature: (double x(); double [o]y(); double [o]e(); double lambda) Signature: (double x(); double [o]y(); double [o]e(); double lambda)
=for ref =for ref
Irregular Spherical Conical Function P^{1/2}_{-1/2 + I lambda}(x) Irregular Spherical Conical Function P^{1/2}_{-1/2 + I lambda}(x)
=for bad =for bad
gsl_sf_conicalP_half does not process bad values. gsl_sf_conicalP_half 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. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
=cut =cut
#line 314 "LEGENDRE.pm" #line 330 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm"
#line 1061 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_conicalP_half = \&PDL::gsl_sf_conicalP_half; *gsl_sf_conicalP_half = \&PDL::gsl_sf_conicalP_half;
#line 320 "LEGENDRE.pm" #line 337 "LEGENDRE.pm"
#line 1059 "../../../../blib/lib/PDL/PP.pm" #line 1058 "../../../../blib/lib/PDL/PP.pm"
=head2 gsl_sf_conicalP_mhalf =head2 gsl_sf_conicalP_mhalf
=for sig =for sig
Signature: (double x(); double [o]y(); double [o]e(); double lambda) Signature: (double x(); double [o]y(); double [o]e(); double lambda)
=for ref =for ref
Regular Spherical Conical Function P^{-1/2}_{-1/2 + I lambda}(x) Regular Spherical Conical Function P^{-1/2}_{-1/2 + I lambda}(x)
=for bad =for bad
gsl_sf_conicalP_mhalf does not process bad values. gsl_sf_conicalP_mhalf 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. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
=cut =cut
#line 344 "LEGENDRE.pm" #line 362 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm"
#line 1061 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_conicalP_mhalf = \&PDL::gsl_sf_conicalP_mhalf; *gsl_sf_conicalP_mhalf = \&PDL::gsl_sf_conicalP_mhalf;
#line 350 "LEGENDRE.pm" #line 369 "LEGENDRE.pm"
#line 1059 "../../../../blib/lib/PDL/PP.pm" #line 1058 "../../../../blib/lib/PDL/PP.pm"
=head2 gsl_sf_conicalP_0 =head2 gsl_sf_conicalP_0
=for sig =for sig
Signature: (double x(); double [o]y(); double [o]e(); double lambda) Signature: (double x(); double [o]y(); double [o]e(); double lambda)
=for ref =for ref
Conical Function P^{0}_{-1/2 + I lambda}(x) Conical Function P^{0}_{-1/2 + I lambda}(x)
=for bad =for bad
gsl_sf_conicalP_0 does not process bad values. gsl_sf_conicalP_0 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. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
=cut =cut
#line 374 "LEGENDRE.pm" #line 394 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm"
#line 1061 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_conicalP_0 = \&PDL::gsl_sf_conicalP_0; *gsl_sf_conicalP_0 = \&PDL::gsl_sf_conicalP_0;
#line 380 "LEGENDRE.pm" #line 401 "LEGENDRE.pm"
#line 1059 "../../../../blib/lib/PDL/PP.pm" #line 1058 "../../../../blib/lib/PDL/PP.pm"
=head2 gsl_sf_conicalP_1 =head2 gsl_sf_conicalP_1
=for sig =for sig
Signature: (double x(); double [o]y(); double [o]e(); double lambda) Signature: (double x(); double [o]y(); double [o]e(); double lambda)
=for ref =for ref
Conical Function P^{1}_{-1/2 + I lambda}(x) Conical Function P^{1}_{-1/2 + I lambda}(x)
=for bad =for bad
gsl_sf_conicalP_1 does not process bad values. gsl_sf_conicalP_1 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. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
=cut =cut
#line 404 "LEGENDRE.pm" #line 426 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm"
#line 1061 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_conicalP_1 = \&PDL::gsl_sf_conicalP_1; *gsl_sf_conicalP_1 = \&PDL::gsl_sf_conicalP_1;
#line 410 "LEGENDRE.pm" #line 433 "LEGENDRE.pm"
#line 1059 "../../../../blib/lib/PDL/PP.pm" #line 1058 "../../../../blib/lib/PDL/PP.pm"
=head2 gsl_sf_conicalP_sph_reg =head2 gsl_sf_conicalP_sph_reg
=for sig =for sig
Signature: (double x(); double [o]y(); double [o]e(); int l; double lambda) Signature: (double x(); double [o]y(); double [o]e(); int l; double lambda)
=for ref =for ref
Regular Spherical Conical Function P^{-1/2-l}_{-1/2 + I lambda}(x) Regular Spherical Conical Function P^{-1/2-l}_{-1/2 + I lambda}(x)
=for bad =for bad
gsl_sf_conicalP_sph_reg does not process bad values. gsl_sf_conicalP_sph_reg 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. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
=cut =cut
#line 434 "LEGENDRE.pm" #line 458 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm"
#line 1061 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_conicalP_sph_reg = \&PDL::gsl_sf_conicalP_sph_reg; *gsl_sf_conicalP_sph_reg = \&PDL::gsl_sf_conicalP_sph_reg;
#line 440 "LEGENDRE.pm" #line 465 "LEGENDRE.pm"
#line 1059 "../../../../blib/lib/PDL/PP.pm" #line 1058 "../../../../blib/lib/PDL/PP.pm"
=head2 gsl_sf_conicalP_cyl_reg_e =head2 gsl_sf_conicalP_cyl_reg_e
=for sig =for sig
Signature: (double x(); double [o]y(); double [o]e(); int m; double lambda) Signature: (double x(); double [o]y(); double [o]e(); int m; double lambda)
=for ref =for ref
Regular Cylindrical Conical Function P^{-m}_{-1/2 + I lambda}(x) Regular Cylindrical Conical Function P^{-m}_{-1/2 + I lambda}(x)
=for bad =for bad
gsl_sf_conicalP_cyl_reg_e does not process bad values. gsl_sf_conicalP_cyl_reg_e 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. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
=cut =cut
#line 464 "LEGENDRE.pm" #line 490 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm"
#line 1061 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_conicalP_cyl_reg_e = \&PDL::gsl_sf_conicalP_cyl_reg_e; *gsl_sf_conicalP_cyl_reg_e = \&PDL::gsl_sf_conicalP_cyl_reg_e;
#line 470 "LEGENDRE.pm" #line 497 "LEGENDRE.pm"
#line 1059 "../../../../blib/lib/PDL/PP.pm" #line 1058 "../../../../blib/lib/PDL/PP.pm"
=head2 gsl_sf_legendre_H3d =head2 gsl_sf_legendre_H3d
=for sig =for sig
Signature: (double [o]y(); double [o]e(); int l; double lambda; double eta) Signature: (double [o]y(); double [o]e(); int l; double lambda; double eta)
=for ref =for ref
lth radial eigenfunction of the Laplacian on the 3-dimensional hyperbolic space. lth radial eigenfunction of the Laplacian on the 3-dimensional hyperbolic space.
=for bad =for bad
gsl_sf_legendre_H3d does not process bad values. gsl_sf_legendre_H3d 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. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
=cut =cut
#line 494 "LEGENDRE.pm" #line 522 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm"
#line 1061 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_legendre_H3d = \&PDL::gsl_sf_legendre_H3d; *gsl_sf_legendre_H3d = \&PDL::gsl_sf_legendre_H3d;
#line 500 "LEGENDRE.pm" #line 529 "LEGENDRE.pm"
#line 1059 "../../../../blib/lib/PDL/PP.pm" #line 1058 "../../../../blib/lib/PDL/PP.pm"
=head2 gsl_sf_legendre_H3d_array =head2 gsl_sf_legendre_H3d_array
=for sig =for sig
Signature: (double [o]y(num); int l=>num; double lambda; double eta) Signature: (double [o]y(num); int l=>num; double lambda; double eta)
=for ref =for ref
Array of H3d(ell), for l from 0 to n-1. Array of H3d(ell), for l from 0 to n-1.
=for bad =for bad
gsl_sf_legendre_H3d_array does not process bad values. gsl_sf_legendre_H3d_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. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
=cut =cut
#line 524 "LEGENDRE.pm" #line 554 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm"
#line 1061 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_legendre_H3d_array = \&PDL::gsl_sf_legendre_H3d_array; *gsl_sf_legendre_H3d_array = \&PDL::gsl_sf_legendre_H3d_array;
#line 530 "LEGENDRE.pm" #line 561 "LEGENDRE.pm"
#line 345 "gsl_sf_legendre.pd" #line 344 "gsl_sf_legendre.pd"
=head1 AUTHOR =head1 AUTHOR
This file copyright (C) 1999 Christian Pellegrin <chri@infis.univ.trieste.it> This file copyright (C) 1999 Christian Pellegrin <chri@infis.univ.trieste.it>
All rights reserved. There All rights reserved. There
is no warranty. You are allowed to redistribute this software / is no warranty. You are allowed to redistribute this software /
documentation under certain conditions. For details, see the file documentation under certain conditions. For details, see the file
COPYING in the PDL distribution. If this file is separated from the COPYING in the PDL distribution. If this file is separated from the
PDL distribution, the copyright notice should be included in the file. PDL distribution, the copyright notice should be included in the file.
The GSL SF modules were written by G. Jungman. The GSL SF modules were written by G. Jungman.
=cut =cut
#line 550 "LEGENDRE.pm" #line 582 "LEGENDRE.pm"
# Exit with OK status # Exit with OK status
1; 1;
 End of changes. 64 change blocks. 
64 lines changed or deleted 80 lines changed or added

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