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Source code changes of the file "GENERATED/PDL/GSLSF/LEGENDRE.pm" between
PDL-2.077.tar.gz and PDL-2.078.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-2.077):LEGENDRE.pm  (PDL-2.078)
skipping to change at line 159 skipping to change at line 159
=for usage =for usage
$Plm = gsl_sf_legendre_array($x,'P',4,-1); $Plm = gsl_sf_legendre_array($x,'P',4,-1);
The calculation is done for degree 0 <= l <= lmax and order 0 <= m <= l on the r ange abs(x)<=1. The calculation is done for degree 0 <= l <= lmax and order 0 <= m <= l on the r ange abs(x)<=1.
The parameter norm should be: The parameter norm should be:
=over 3 =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 '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 'Y' for spherical harmonic associated Legendre polynomials Y_l^m(x), or
=item 'N' for fully normalized associated Legendre polynomials N_l^m(x). =item 'N' for fully normalized associated Legendre polynomials N_l^m(x).
=item 'P' (or any other) for unnormalized associated Legendre polynomials P_l^m(
x),
=back =back
lmax is the maximum degree l. lmax is the maximum degree l.
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 229 "LEGENDRE.pm" #line 228 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm" #line 1060 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_legendre_array = \&PDL::gsl_sf_legendre_array; *gsl_sf_legendre_array = \&PDL::gsl_sf_legendre_array;
#line 236 "LEGENDRE.pm" #line 235 "LEGENDRE.pm"
#line 1058 "../../../../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
skipping to change at line 210 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 266 "LEGENDRE.pm" #line 265 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm" #line 1060 "../../../../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 273 "LEGENDRE.pm" #line 272 "LEGENDRE.pm"
#line 1058 "../../../../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 298 "LEGENDRE.pm" #line 297 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm" #line 1060 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_legendre_sphPlm = \&PDL::gsl_sf_legendre_sphPlm; *gsl_sf_legendre_sphPlm = \&PDL::gsl_sf_legendre_sphPlm;
#line 305 "LEGENDRE.pm" #line 304 "LEGENDRE.pm"
#line 1058 "../../../../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 330 "LEGENDRE.pm" #line 329 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm" #line 1060 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_conicalP_half = \&PDL::gsl_sf_conicalP_half; *gsl_sf_conicalP_half = \&PDL::gsl_sf_conicalP_half;
#line 337 "LEGENDRE.pm" #line 336 "LEGENDRE.pm"
#line 1058 "../../../../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 362 "LEGENDRE.pm" #line 361 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm" #line 1060 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_conicalP_mhalf = \&PDL::gsl_sf_conicalP_mhalf; *gsl_sf_conicalP_mhalf = \&PDL::gsl_sf_conicalP_mhalf;
#line 369 "LEGENDRE.pm" #line 368 "LEGENDRE.pm"
#line 1058 "../../../../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 394 "LEGENDRE.pm" #line 393 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm" #line 1060 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_conicalP_0 = \&PDL::gsl_sf_conicalP_0; *gsl_sf_conicalP_0 = \&PDL::gsl_sf_conicalP_0;
#line 401 "LEGENDRE.pm" #line 400 "LEGENDRE.pm"
#line 1058 "../../../../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 426 "LEGENDRE.pm" #line 425 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm" #line 1060 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_conicalP_1 = \&PDL::gsl_sf_conicalP_1; *gsl_sf_conicalP_1 = \&PDL::gsl_sf_conicalP_1;
#line 433 "LEGENDRE.pm" #line 432 "LEGENDRE.pm"
#line 1058 "../../../../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 458 "LEGENDRE.pm" #line 457 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm" #line 1060 "../../../../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 465 "LEGENDRE.pm" #line 464 "LEGENDRE.pm"
#line 1058 "../../../../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 490 "LEGENDRE.pm" #line 489 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm" #line 1060 "../../../../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 497 "LEGENDRE.pm" #line 496 "LEGENDRE.pm"
#line 1058 "../../../../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 522 "LEGENDRE.pm" #line 521 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm" #line 1060 "../../../../blib/lib/PDL/PP.pm"
*gsl_sf_legendre_H3d = \&PDL::gsl_sf_legendre_H3d; *gsl_sf_legendre_H3d = \&PDL::gsl_sf_legendre_H3d;
#line 529 "LEGENDRE.pm" #line 528 "LEGENDRE.pm"
#line 1058 "../../../../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 554 "LEGENDRE.pm" #line 553 "LEGENDRE.pm"
#line 1060 "../../../../blib/lib/PDL/PP.pm" #line 1060 "../../../../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 561 "LEGENDRE.pm" #line 560 "LEGENDRE.pm"
#line 344 "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
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 582 "LEGENDRE.pm" #line 581 "LEGENDRE.pm"
# Exit with OK status # Exit with OK status
1; 1;
 End of changes. 26 change blocks. 
26 lines changed or deleted 27 lines changed or added
To the Perl Modules section of the PDL source changes report or the top of this page
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