"Fossies" - the Fresh Open Source Software Archive  

Source code changes of the file "GENERATED/PDL/GSLSF/LEGENDRE.pm" between
PDL-2.081.tar.gz and PDL-2.082.tar.gz

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

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LEGENDRE.pm  (PDL-2.081):LEGENDRE.pm  (PDL-2.082)
skipping to change at line 37 skipping to change at line 37
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 39 "LEGENDRE.pm" #line 39 "LEGENDRE.pm"
=head1 FUNCTIONS =head1 FUNCTIONS
=cut =cut
#line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 958 "/home/osboxes/pdl-code/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 74 "LEGENDRE.pm" #line 74 "LEGENDRE.pm"
#line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 960 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm"
*gsl_sf_legendre_Pl = \&PDL::gsl_sf_legendre_Pl; *gsl_sf_legendre_Pl = \&PDL::gsl_sf_legendre_Pl;
#line 81 "LEGENDRE.pm" #line 81 "LEGENDRE.pm"
#line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 958 "/home/osboxes/pdl-code/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 106 "LEGENDRE.pm" #line 106 "LEGENDRE.pm"
#line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 960 "/home/osboxes/pdl-code/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 113 "LEGENDRE.pm" #line 113 "LEGENDRE.pm"
#line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 958 "/home/osboxes/pdl-code/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 138 "LEGENDRE.pm" #line 138 "LEGENDRE.pm"
#line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 960 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm"
*gsl_sf_legendre_Ql = \&PDL::gsl_sf_legendre_Ql; *gsl_sf_legendre_Ql = \&PDL::gsl_sf_legendre_Ql;
#line 145 "LEGENDRE.pm" #line 145 "LEGENDRE.pm"
#line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 958 "/home/osboxes/pdl-code/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 170 "LEGENDRE.pm" #line 170 "LEGENDRE.pm"
#line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 960 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm"
*gsl_sf_legendre_Plm = \&PDL::gsl_sf_legendre_Plm; *gsl_sf_legendre_Plm = \&PDL::gsl_sf_legendre_Plm;
#line 177 "LEGENDRE.pm" #line 177 "LEGENDRE.pm"
#line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 958 "/home/osboxes/pdl-code/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 182 skipping to change at line 182
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 228 "LEGENDRE.pm" #line 228 "LEGENDRE.pm"
#line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 960 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm"
*gsl_sf_legendre_array = \&PDL::gsl_sf_legendre_array; *gsl_sf_legendre_array = \&PDL::gsl_sf_legendre_array;
#line 235 "LEGENDRE.pm" #line 235 "LEGENDRE.pm"
#line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 958 "/home/osboxes/pdl-code/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 212 skipping to change at line 212
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 265 "LEGENDRE.pm" #line 265 "LEGENDRE.pm"
#line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 960 "/home/osboxes/pdl-code/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 272 "LEGENDRE.pm" #line 272 "LEGENDRE.pm"
#line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 958 "/home/osboxes/pdl-code/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 297 "LEGENDRE.pm" #line 297 "LEGENDRE.pm"
#line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 960 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm"
*gsl_sf_legendre_sphPlm = \&PDL::gsl_sf_legendre_sphPlm; *gsl_sf_legendre_sphPlm = \&PDL::gsl_sf_legendre_sphPlm;
#line 304 "LEGENDRE.pm" #line 304 "LEGENDRE.pm"
#line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 958 "/home/osboxes/pdl-code/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 329 "LEGENDRE.pm" #line 329 "LEGENDRE.pm"
#line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 960 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm"
*gsl_sf_conicalP_half = \&PDL::gsl_sf_conicalP_half; *gsl_sf_conicalP_half = \&PDL::gsl_sf_conicalP_half;
#line 336 "LEGENDRE.pm" #line 336 "LEGENDRE.pm"
#line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 958 "/home/osboxes/pdl-code/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 361 "LEGENDRE.pm" #line 361 "LEGENDRE.pm"
#line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 960 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm"
*gsl_sf_conicalP_mhalf = \&PDL::gsl_sf_conicalP_mhalf; *gsl_sf_conicalP_mhalf = \&PDL::gsl_sf_conicalP_mhalf;
#line 368 "LEGENDRE.pm" #line 368 "LEGENDRE.pm"
#line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 958 "/home/osboxes/pdl-code/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 393 "LEGENDRE.pm" #line 393 "LEGENDRE.pm"
#line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 960 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm"
*gsl_sf_conicalP_0 = \&PDL::gsl_sf_conicalP_0; *gsl_sf_conicalP_0 = \&PDL::gsl_sf_conicalP_0;
#line 400 "LEGENDRE.pm" #line 400 "LEGENDRE.pm"
#line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 958 "/home/osboxes/pdl-code/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 425 "LEGENDRE.pm" #line 425 "LEGENDRE.pm"
#line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 960 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm"
*gsl_sf_conicalP_1 = \&PDL::gsl_sf_conicalP_1; *gsl_sf_conicalP_1 = \&PDL::gsl_sf_conicalP_1;
#line 432 "LEGENDRE.pm" #line 432 "LEGENDRE.pm"
#line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 958 "/home/osboxes/pdl-code/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 457 "LEGENDRE.pm" #line 457 "LEGENDRE.pm"
#line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 960 "/home/osboxes/pdl-code/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 464 "LEGENDRE.pm" #line 464 "LEGENDRE.pm"
#line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 958 "/home/osboxes/pdl-code/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 489 "LEGENDRE.pm" #line 489 "LEGENDRE.pm"
#line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 960 "/home/osboxes/pdl-code/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 496 "LEGENDRE.pm" #line 496 "LEGENDRE.pm"
#line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 958 "/home/osboxes/pdl-code/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 521 "LEGENDRE.pm" #line 521 "LEGENDRE.pm"
#line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 960 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm"
*gsl_sf_legendre_H3d = \&PDL::gsl_sf_legendre_H3d; *gsl_sf_legendre_H3d = \&PDL::gsl_sf_legendre_H3d;
#line 528 "LEGENDRE.pm" #line 528 "LEGENDRE.pm"
#line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 958 "/home/osboxes/pdl-code/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 553 "LEGENDRE.pm" #line 553 "LEGENDRE.pm"
#line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" #line 960 "/home/osboxes/pdl-code/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 560 "LEGENDRE.pm" #line 560 "LEGENDRE.pm"
#line 302 "gsl_sf_legendre.pd" #line 302 "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
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