octave-nkf: libinterp/corefcn/besselj.cc annotate

annotate libinterp/corefcn/besselj.cc @ 20124:93b3757a9623

Use stricter input validation for OPT arg of bessel functions (bug #44867). * besselj.cc (do_bessel): Validate that OPT argument is a scalar and either 0/1 or false/true. * besselj.cc (Fbesselj): Update documentation to specify that OPT must be 1 or true to engage the scaling operation.

author	Rik <rik@octave.org>
date	Fri, 17 Apr 2015 15:02:30 -0700
parents	4197fc428c7d
children	4f45eaf83908

rev	line source
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	1 /*
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	2
19731 4197fc428c7d maint: Update copyright notices for 2015. John W. Eaton <jwe@octave.org> parents: 18111 diff changeset	3 Copyright (C) 1997-2015 John W. Eaton
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	4
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	5 This file is part of Octave.
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	6
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	7 Octave is free software; you can redistribute it and/or modify it
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	8 under the terms of the GNU General Public License as published by the
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5823 diff changeset	9 Free Software Foundation; either version 3 of the License, or (at your
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5823 diff changeset	10 option) any later version.
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	11
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	12 Octave is distributed in the hope that it will be useful, but WITHOUT
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	15 for more details.
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	16
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	17 You should have received a copy of the GNU General Public License
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5823 diff changeset	18 along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5823 diff changeset	19 <http://www.gnu.org/licenses/>.
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	20
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	21 */
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	22
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	23 #ifdef HAVE_CONFIG_H
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	24 #include <config.h>
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	25 #endif
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	26
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	27 #include "lo-specfun.h"
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 3810 diff changeset	28 #include "quit.h"
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	29
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	30 #include "defun.h"
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	31 #include "error.h"
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	32 #include "gripes.h"
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	33 #include "oct-obj.h"
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	34 #include "utils.h"
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	35
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	36 enum bessel_type
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	37 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	38 BESSEL_J,
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	39 BESSEL_Y,
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	40 BESSEL_I,
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	41 BESSEL_K,
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	42 BESSEL_H1,
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	43 BESSEL_H2
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	44 };
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	45
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	46 #define DO_BESSEL(type, alpha, x, scaled, ierr, result) \
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	47 do \
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	48 { \
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	49 switch (type) \
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	50 { \
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	51 case BESSEL_J: \
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	52 result = besselj (alpha, x, scaled, ierr); \
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	53 break; \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	54 \
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	55 case BESSEL_Y: \
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	56 result = bessely (alpha, x, scaled, ierr); \
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	57 break; \
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	58 \
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	59 case BESSEL_I: \
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	60 result = besseli (alpha, x, scaled, ierr); \
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	61 break; \
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	62 \
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	63 case BESSEL_K: \
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	64 result = besselk (alpha, x, scaled, ierr); \
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	65 break; \
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	66 \
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	67 case BESSEL_H1: \
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	68 result = besselh1 (alpha, x, scaled, ierr); \
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	69 break; \
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	70 \
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	71 case BESSEL_H2: \
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	72 result = besselh2 (alpha, x, scaled, ierr); \
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	73 break; \
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	74 \
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	75 default: \
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	76 break; \
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	77 } \
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	78 } \
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	79 while (0)
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	80
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	81 static void
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	82 gripe_bessel_arg (const char fn, const char arg)
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	83 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	84 error ("%s: expecting scalar or matrix as %s argument", fn, arg);
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	85 }
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	86
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	87 octave_value_list
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	88 do_bessel (enum bessel_type type, const char *fn,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	89 const octave_value_list& args, int nargout)
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	90 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	91 octave_value_list retval;
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	92
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	93 int nargin = args.length ();
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	94
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	95 if (nargin == 2 \|\| nargin == 3)
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	96 {
20124 93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	97 bool scaled = false;
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	98 if (nargin == 3)
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	99 {
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	100 octave_value opt_arg = args(2);
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	101 bool rpt_error = false;
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	102
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	103 if (! opt_arg.is_scalar_type ())
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	104 rpt_error = true;
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	105 else if (opt_arg.is_numeric_type ())
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	106 {
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	107 double opt_val = opt_arg.double_value ();
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	108 if (opt_val != 0.0 && opt_val != 1.0)
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	109 rpt_error = true;
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	110 scaled = (opt_val == 1.0);
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	111 }
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	112 else if (opt_arg.is_bool_type ())
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	113 scaled = opt_arg.bool_value ();
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	114
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	115 if (rpt_error)
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	116 {
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	117 error ("%s: OPT must be 0 (or false) or 1 (or true)", fn);
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	118 return retval;
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	119 }
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	120 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	121
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	122 octave_value alpha_arg = args(0);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	123 octave_value x_arg = args(1);
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	124
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	125 if (alpha_arg.is_single_type () \|\| x_arg.is_single_type ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	126 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	127 if (alpha_arg.is_scalar_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	128 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	129 float alpha = args(0).float_value ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4153 diff changeset	130
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	131 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	132 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	133 if (x_arg.is_scalar_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	134 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	135 FloatComplex x = x_arg.float_complex_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	136
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	137 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	138 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	139 octave_idx_type ierr;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	140 octave_value result;
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	141
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	142 DO_BESSEL (type, alpha, x, scaled, ierr, result);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	143
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	144 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	145 retval(1) = static_cast<float> (ierr);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	146
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	147 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	148 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	149 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	150 gripe_bessel_arg (fn, "second");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	151 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	152 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	153 {
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17757 diff changeset	154 FloatComplexNDArray x
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17757 diff changeset	155 = x_arg.float_complex_array_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	156
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	157 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	158 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	159 Array<octave_idx_type> ierr;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	160 octave_value result;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	161
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	162 DO_BESSEL (type, alpha, x, scaled, ierr, result);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	163
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	164 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	165 retval(1) = NDArray (ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	166
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	167 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	168 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	169 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	170 gripe_bessel_arg (fn, "second");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	171 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	172 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	173 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	174 gripe_bessel_arg (fn, "first");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	175 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	176 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	177 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	178 dim_vector dv0 = args(0).dims ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	179 dim_vector dv1 = args(1).dims ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	180
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	181 bool args0_is_row_vector = (dv0 (1) == dv0.numel ());
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	182 bool args1_is_col_vector = (dv1 (0) == dv1.numel ());
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	183
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	184 if (args0_is_row_vector && args1_is_col_vector)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	185 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	186 FloatRowVector ralpha = args(0).float_row_vector_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	187
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	188 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	189 {
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	190 FloatComplexColumnVector cx =
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	191 x_arg.float_complex_column_vector_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	192
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	193 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	194 {
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	195 Array<octave_idx_type> ierr;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	196 octave_value result;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	197
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	198 DO_BESSEL (type, ralpha, cx, scaled, ierr, result);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	199
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	200 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	201 retval(1) = NDArray (ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	202
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	203 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	204 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	205 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	206 gripe_bessel_arg (fn, "second");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	207 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	208 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	209 gripe_bessel_arg (fn, "first");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	210 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	211 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	212 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	213 FloatNDArray alpha = args(0).float_array_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	214
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	215 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	216 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	217 if (x_arg.is_scalar_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	218 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	219 FloatComplex x = x_arg.float_complex_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	220
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	221 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	222 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	223 Array<octave_idx_type> ierr;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	224 octave_value result;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	225
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	226 DO_BESSEL (type, alpha, x, scaled, ierr, result);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	227
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	228 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	229 retval(1) = NDArray (ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	230
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	231 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	232 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	233 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	234 gripe_bessel_arg (fn, "second");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	235 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	236 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	237 {
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17757 diff changeset	238 FloatComplexNDArray x
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17757 diff changeset	239 = x_arg.float_complex_array_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	240
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	241 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	242 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	243 Array<octave_idx_type> ierr;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	244 octave_value result;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	245
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	246 DO_BESSEL (type, alpha, x, scaled, ierr, result);
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	247
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	248 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	249 retval(1) = NDArray (ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	250
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	251 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	252 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	253 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	254 gripe_bessel_arg (fn, "second");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	255 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	256 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	257 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	258 gripe_bessel_arg (fn, "first");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	259 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	260 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	261 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	262 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	263 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	264 if (alpha_arg.is_scalar_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	265 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	266 double alpha = args(0).double_value ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	267
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	268 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	269 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	270 if (x_arg.is_scalar_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	271 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	272 Complex x = x_arg.complex_value ();
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	273
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	274 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	275 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	276 octave_idx_type ierr;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	277 octave_value result;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	278
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	279 DO_BESSEL (type, alpha, x, scaled, ierr, result);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	280
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	281 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	282 retval(1) = static_cast<double> (ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	283
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	284 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	285 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	286 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	287 gripe_bessel_arg (fn, "second");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	288 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	289 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	290 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	291 ComplexNDArray x = x_arg.complex_array_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	292
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	293 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	294 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	295 Array<octave_idx_type> ierr;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	296 octave_value result;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	297
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	298 DO_BESSEL (type, alpha, x, scaled, ierr, result);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	299
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	300 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	301 retval(1) = NDArray (ierr);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	302
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	303 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	304 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	305 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	306 gripe_bessel_arg (fn, "second");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	307 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	308 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	309 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	310 gripe_bessel_arg (fn, "first");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	311 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	312 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	313 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	314 dim_vector dv0 = args(0).dims ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	315 dim_vector dv1 = args(1).dims ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	316
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	317 bool args0_is_row_vector = (dv0 (1) == dv0.numel ());
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	318 bool args1_is_col_vector = (dv1 (0) == dv1.numel ());
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	319
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	320 if (args0_is_row_vector && args1_is_col_vector)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	321 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	322 RowVector ralpha = args(0).row_vector_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	323
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	324 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	325 {
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	326 ComplexColumnVector cx =
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	327 x_arg.complex_column_vector_value ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4153 diff changeset	328
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	329 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	330 {
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	331 Array<octave_idx_type> ierr;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	332 octave_value result;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	333
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	334 DO_BESSEL (type, ralpha, cx, scaled, ierr, result);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	335
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	336 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	337 retval(1) = NDArray (ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	338
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	339 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	340 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	341 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	342 gripe_bessel_arg (fn, "second");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	343 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	344 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	345 gripe_bessel_arg (fn, "first");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	346 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	347 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	348 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	349 NDArray alpha = args(0).array_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	350
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	351 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	352 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	353 if (x_arg.is_scalar_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	354 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	355 Complex x = x_arg.complex_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	356
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	357 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	358 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	359 Array<octave_idx_type> ierr;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	360 octave_value result;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	361
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	362 DO_BESSEL (type, alpha, x, scaled, ierr, result);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	363
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	364 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	365 retval(1) = NDArray (ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	366
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	367 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	368 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	369 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	370 gripe_bessel_arg (fn, "second");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	371 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	372 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	373 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	374 ComplexNDArray x = x_arg.complex_array_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	375
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	376 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	377 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	378 Array<octave_idx_type> ierr;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	379 octave_value result;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	380
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	381 DO_BESSEL (type, alpha, x, scaled, ierr, result);
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	382
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	383 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	384 retval(1) = NDArray (ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	385
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	386 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	387 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	388 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	389 gripe_bessel_arg (fn, "second");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	390 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	391 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	392 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	393 gripe_bessel_arg (fn, "first");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	394 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	395 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	396 }
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	397 }
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	398 else
5823 080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe] jwe parents: 5760 diff changeset	399 print_usage ();
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	400
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	401 return retval;
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	402 }
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	403
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	404 DEFUN (besselj, args, nargout,
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17757 diff changeset	405 "-- texinfo --\n\
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	406 @deftypefn {Built-in Function} {[@var{j}, @var{ierr}] =} besselj (@var{alpha}, @var{x}, @var{opt})\n\
e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	407 @deftypefnx {Built-in Function} {[@var{y}, @var{ierr}] =} bessely (@var{alpha}, @var{x}, @var{opt})\n\
e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	408 @deftypefnx {Built-in Function} {[@var{i}, @var{ierr}] =} besseli (@var{alpha}, @var{x}, @var{opt})\n\
e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	409 @deftypefnx {Built-in Function} {[@var{k}, @var{ierr}] =} besselk (@var{alpha}, @var{x}, @var{opt})\n\
e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	410 @deftypefnx {Built-in Function} {[@var{h}, @var{ierr}] =} besselh (@var{alpha}, @var{k}, @var{x}, @var{opt})\n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	411 Compute Bessel or Hankel functions of various kinds:\n\
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	412 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	413 @table @code\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	414 @item besselj\n\
20124 93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	415 Bessel functions of the first kind. If the argument @var{opt} is 1 or true,\n\
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	416 the result is multiplied by @w{@code{exp (-abs (imag (@var{x})))}}.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	417 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	418 @item bessely\n\
20124 93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	419 Bessel functions of the second kind. If the argument @var{opt} is 1 or true,\n\
14854 5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	420 the result is multiplied by @code{exp (-abs (imag (@var{x})))}.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	421 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	422 @item besseli\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	423 \n\
20124 93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	424 Modified Bessel functions of the first kind. If the argument @var{opt} is 1\n\
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	425 or true, the result is multiplied by @code{exp (-abs (real (@var{x})))}.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	426 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	427 @item besselk\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	428 \n\
20124 93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	429 Modified Bessel functions of the second kind. If the argument @var{opt} is 1\n\
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	430 or true, the result is multiplied by @code{exp (@var{x})}.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	431 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	432 @item besselh\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	433 Compute Hankel functions of the first (@var{k} = 1) or second (@var{k}\n\
20124 93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19731 diff changeset	434 = 2) kind. If the argument @var{opt} is 1 or true, the result is multiplied\n\
10846 a4f482e66b65 Grammarcheck more of the documentation. Rik <octave@nomad.inbox5.com> parents: 10840 diff changeset	435 by @code{exp (-I@var{x})} for @var{k} = 1 or @code{exp (I@var{x})} for\n\
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	436 @var{k} = 2.\n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	437 @end table\n\
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	438 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	439 If @var{alpha} is a scalar, the result is the same size as @var{x}.\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	440 If @var{x} is a scalar, the result is the same size as @var{alpha}.\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	441 If @var{alpha} is a row vector and @var{x} is a column vector, the\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	442 result is a matrix with @code{length (@var{x})} rows and\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	443 @code{length (@var{alpha})} columns. Otherwise, @var{alpha} and\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	444 @var{x} must conform and the result will be the same size.\n\
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	445 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	446 The value of @var{alpha} must be real. The value of @var{x} may be\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	447 complex.\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	448 \n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	449 If requested, @var{ierr} contains the following status information\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	450 and is the same size as the result.\n\
3548 ab7fa5a8f23f [project @ 2000-02-03 01:17:15 by jwe] jwe parents: 3499 diff changeset	451 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	452 @enumerate 0\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	453 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	454 Normal return.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	455 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	456 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	457 Input error, return @code{NaN}.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	458 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	459 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	460 Overflow, return @code{Inf}.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	461 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	462 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	463 Loss of significance by argument reduction results in less than\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	464 half of machine accuracy.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	465 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	466 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	467 Complete loss of significance by argument reduction, return @code{NaN}.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	468 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	469 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	470 Error---no computation, algorithm termination condition not met,\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	471 return @code{NaN}.\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	472 @end enumerate\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	473 @end deftypefn")
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	474 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	475 return do_bessel (BESSEL_J, "besselj", args, nargout);
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	476 }
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	477
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	478 DEFUN (bessely, args, nargout,
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17757 diff changeset	479 "-- texinfo --\n\
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	480 @deftypefn {Built-in Function} {[@var{y}, @var{ierr}] =} bessely (@var{alpha}, @var{x}, @var{opt})\n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	481 See besselj.\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	482 @end deftypefn")
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	483 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	484 return do_bessel (BESSEL_Y, "bessely", args, nargout);
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	485 }
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	486
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	487 DEFUN (besseli, args, nargout,
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17757 diff changeset	488 "-- texinfo --\n\
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	489 @deftypefn {Built-in Function} {[@var{i}, @var{ierr}] =} besseli (@var{alpha}, @var{x}, @var{opt})\n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	490 See besselj.\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	491 @end deftypefn")
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	492 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	493 return do_bessel (BESSEL_I, "besseli", args, nargout);
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	494 }
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	495
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	496 DEFUN (besselk, args, nargout,
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17757 diff changeset	497 "-- texinfo --\n\
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	498 @deftypefn {Built-in Function} {[@var{k}, @var{ierr}] =} besselk (@var{alpha}, @var{x}, @var{opt})\n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	499 See besselj.\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	500 @end deftypefn")
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	501 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	502 return do_bessel (BESSEL_K, "besselk", args, nargout);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	503 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	504
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	505 DEFUN (besselh, args, nargout,
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17757 diff changeset	506 "-- texinfo --\n\
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	507 @deftypefn {Built-in Function} {[@var{h}, @var{ierr}] =} besselh (@var{alpha}, @var{k}, @var{x}, @var{opt})\n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	508 See besselj.\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	509 @end deftypefn")
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	510 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	511 octave_value_list retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	512
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	513 int nargin = args.length ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	514
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	515 if (nargin == 2)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	516 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	517 retval = do_bessel (BESSEL_H1, "besselh", args, nargout);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	518 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	519 else if (nargin == 3 \|\| nargin == 4)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	520 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4844 diff changeset	521 octave_idx_type kind = args(1).int_value ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	522
3810 f19f00339363 [project @ 2001-03-29 21:03:01 by jwe] jwe parents: 3568 diff changeset	523 if (! error_state)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	524 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	525 octave_value_list tmp_args;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	526
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	527 if (nargin == 4)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	528 tmp_args(2) = args(3);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	529
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	530 tmp_args(1) = args(2);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	531 tmp_args(0) = args(0);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	532
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	533 if (kind == 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	534 retval = do_bessel (BESSEL_H1, "besselh", tmp_args, nargout);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	535 else if (kind == 2)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	536 retval = do_bessel (BESSEL_H2, "besselh", tmp_args, nargout);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	537 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	538 error ("besselh: expecting K = 1 or 2");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	539 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	540 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	541 error ("besselh: invalid value of K");
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	542 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	543 else
5823 080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe] jwe parents: 5760 diff changeset	544 print_usage ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	545
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	546 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	547 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	548
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	549 DEFUN (airy, args, nargout,
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17757 diff changeset	550 "-- texinfo --\n\
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	551 @deftypefn {Built-in Function} {[@var{a}, @var{ierr}] =} airy (@var{k}, @var{z}, @var{opt})\n\
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	552 Compute Airy functions of the first and second kind, and their\n\
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	553 derivatives.\n\
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	554 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	555 @example\n\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8920 diff changeset	556 @group\n\
17757 dae2230227a7 doc: Use double-quote in preference to single quote in code examples. Rik <rik@octave.org> parents: 17744 diff changeset	557 K Function Scale factor (if \"opt\" is supplied)\n\
7031 120f3135952f [project @ 2007-10-15 15:30:03 by jwe] jwe parents: 7017 diff changeset	558 --- -------- ---------------------------------------\n\
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	559 0 Ai (Z) exp ((2/3) * Z * sqrt (Z))\n\
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	560 1 dAi(Z)/dZ exp ((2/3) * Z * sqrt (Z))\n\
14854 5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	561 2 Bi (Z) exp (-abs (real ((2/3) * Z * sqrt (Z))))\n\
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	562 3 dBi(Z)/dZ exp (-abs (real ((2/3) * Z * sqrt (Z))))\n\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8920 diff changeset	563 @end group\n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	564 @end example\n\
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	565 \n\
3549 03025e79d8b9 [project @ 2000-02-03 01:28:24 by jwe] jwe parents: 3548 diff changeset	566 The function call @code{airy (@var{z})} is equivalent to\n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	567 @code{airy (0, @var{z})}.\n\
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	568 \n\
3549 03025e79d8b9 [project @ 2000-02-03 01:28:24 by jwe] jwe parents: 3548 diff changeset	569 The result is the same size as @var{z}.\n\
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	570 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	571 If requested, @var{ierr} contains the following status information and\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	572 is the same size as the result.\n\
3548 ab7fa5a8f23f [project @ 2000-02-03 01:17:15 by jwe] jwe parents: 3499 diff changeset	573 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	574 @enumerate 0\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	575 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	576 Normal return.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	577 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	578 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	579 Input error, return @code{NaN}.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	580 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	581 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	582 Overflow, return @code{Inf}.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	583 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	584 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	585 Loss of significance by argument reduction results in less than half\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	586 of machine accuracy.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	587 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	588 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	589 Complete loss of significance by argument reduction, return @code{NaN}.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	590 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	591 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	592 Error---no computation, algorithm termination condition not met,\n\
5448 ebe5d7d15522 [project @ 2005-09-14 18:55:04 by jwe] jwe parents: 5307 diff changeset	593 return @code{NaN}.\n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	594 @end enumerate\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	595 @end deftypefn")
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	596 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	597 octave_value_list retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	598
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	599 int nargin = args.length ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	600
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	601 if (nargin > 0 && nargin < 4)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	602 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	603 bool scale = (nargin == 3);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	604
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	605 int kind = 0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	606
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	607 if (nargin > 1)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	608 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	609 kind = args(0).int_value ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	610
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	611 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	612 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	613 if (kind < 0 \|\| kind > 3)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	614 error ("airy: expecting K = 0, 1, 2, or 3");
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	615 }
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	616 else
12483 7a5aacf65f81 Rewrite error strings in src/ to use variables named in documentation. Rik <octave@nomad.inbox5.com> parents: 11586 diff changeset	617 error ("airy: K must be an integer value");
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	618 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	619
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	620 if (! error_state)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	621 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	622 int idx = nargin == 1 ? 0 : 1;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	623
18111 b560bac0fca2 maint: Don't use space between 'args' and '(' when doing indexing. Rik <rik@octave.org> parents: 17787 diff changeset	624 if (args(idx).is_single_type ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	625 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	626 FloatComplexNDArray z = args(idx).float_complex_array_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	627
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	628 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	629 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	630 Array<octave_idx_type> ierr;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	631 octave_value result;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	632
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	633 if (kind > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	634 result = biry (z, kind == 3, scale, ierr);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	635 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	636 result = airy (z, kind == 1, scale, ierr);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	637
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	638 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	639 retval(1) = NDArray (ierr);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	640
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	641 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	642 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	643 else
12483 7a5aacf65f81 Rewrite error strings in src/ to use variables named in documentation. Rik <octave@nomad.inbox5.com> parents: 11586 diff changeset	644 error ("airy: Z must be a complex matrix");
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	645 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	646 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	647 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	648 ComplexNDArray z = args(idx).complex_array_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	649
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	650 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	651 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	652 Array<octave_idx_type> ierr;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	653 octave_value result;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	654
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	655 if (kind > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	656 result = biry (z, kind == 3, scale, ierr);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	657 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	658 result = airy (z, kind == 1, scale, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	659
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	660 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	661 retval(1) = NDArray (ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	662
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	663 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	664 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	665 else
12483 7a5aacf65f81 Rewrite error strings in src/ to use variables named in documentation. Rik <octave@nomad.inbox5.com> parents: 11586 diff changeset	666 error ("airy: Z must be a complex matrix");
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	667 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	668 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	669 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	670 else
5823 080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe] jwe parents: 5760 diff changeset	671 print_usage ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	672
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	673 return retval;
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	674 }
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	675
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	676 /*
17336 b81b9d079515 Use '##' for comments which stand alone on a line. Rik <rik@octave.org> parents: 15195 diff changeset	677 ## Test values computed with GP/PARI version 2.3.3
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	678 %!shared alpha, x, jx, yx, ix, kx, nix
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	679 %!
17336 b81b9d079515 Use '##' for comments which stand alone on a line. Rik <rik@octave.org> parents: 15195 diff changeset	680 %! ## Bessel functions, even order, positive and negative x
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	681 %! alpha = 2; x = 1.25;
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	682 %! jx = 0.1710911312405234823613091417;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	683 %! yx = -1.193199310178553861283790424;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	684 %! ix = 0.2220184483766341752692212604;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	685 %! kx = 0.9410016167388185767085460540;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	686 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	687 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	688 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	689 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	690 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	691 %!assert (besselh (alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	692 %!assert (besselh (alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	693 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	694 %!assert (besselj (alpha,x,1), jxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	695 %!assert (bessely (alpha,x,1), yxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	696 %!assert (besseli (alpha,x,1), ixexp(-abs(real(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	697 %!assert (besselk (alpha,x,1), kxexp(x), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	698 %!assert (besselh (alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	699 %!assert (besselh (alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	700 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	701 %!assert (besselj (-alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	702 %!assert (bessely (-alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	703 %!assert (besseli (-alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	704 %!assert (besselk (-alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	705 %!assert (besselh (-alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	706 %!assert (besselh (-alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	707 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	708 %!assert (besselj (-alpha,x,1), jxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	709 %!assert (bessely (-alpha,x,1), yxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	710 %!assert (besseli (-alpha,x,1), ixexp(-abs(real(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	711 %!assert (besselk (-alpha,x,1), kxexp(x), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	712 %!assert (besselh (-alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	713 %!assert (besselh (-alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	714 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	715 %! x *= -1;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	716 %! yx = -1.193199310178553861283790424 + 0.3421822624810469647226182835*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	717 %! kx = 0.9410016167388185767085460540 - 0.6974915263814386815610060884*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	718 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	719 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	720 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	721 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	722 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	723 %!assert (besselh (alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	724 %!assert (besselh (alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	725 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	726 %!assert (besselj (alpha,x,1), jxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	727 %!assert (bessely (alpha,x,1), yxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	728 %!assert (besseli (alpha,x,1), ixexp(-abs(real(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	729 %!assert (besselk (alpha,x,1), kxexp(x), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	730 %!assert (besselh (alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	731 %!assert (besselh (alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	732 %!
17336 b81b9d079515 Use '##' for comments which stand alone on a line. Rik <rik@octave.org> parents: 15195 diff changeset	733 %! ## Bessel functions, odd order, positive and negative x
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	734 %! alpha = 3; x = 2.5;
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	735 %! jx = 0.2166003910391135247666890035;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	736 %! yx = -0.7560554967536709968379029772;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	737 %! ix = 0.4743704087780355895548240179;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	738 %! kx = 0.2682271463934492027663765197;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	739 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	740 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	741 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	742 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	743 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	744 %!assert (besselh (alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	745 %!assert (besselh (alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	746 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	747 %!assert (besselj (alpha,x,1), jxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	748 %!assert (bessely (alpha,x,1), yxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	749 %!assert (besseli (alpha,x,1), ixexp(-abs(real(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	750 %!assert (besselk (alpha,x,1), kxexp(x), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	751 %!assert (besselh (alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	752 %!assert (besselh (alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	753 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	754 %!assert (besselj (-alpha,x), -jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	755 %!assert (bessely (-alpha,x), -yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	756 %!assert (besseli (-alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	757 %!assert (besselk (-alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	758 %!assert (besselh (-alpha,1,x), -(jx + Iyx), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	759 %!assert (besselh (-alpha,2,x), -(jx - Iyx), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	760 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	761 %!assert (besselj (-alpha,x,1), -jxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	762 %!assert (bessely (-alpha,x,1), -yxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	763 %!assert (besseli (-alpha,x,1), ixexp(-abs(real(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	764 %!assert (besselk (-alpha,x,1), kxexp(x), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	765 %!assert (besselh (-alpha,1,x,1), -(jx + Iyx)exp(-Ix), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	766 %!assert (besselh (-alpha,2,x,1), -(jx - Iyx)exp(Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	767 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	768 %! x *= -1;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	769 %! jx = -jx;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	770 %! yx = 0.7560554967536709968379029772 - 0.4332007820782270495333780070*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	771 %! ix = -ix;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	772 %! kx = -0.2682271463934492027663765197 - 1.490278591297463775542004240*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	773 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	774 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	775 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	776 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	777 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	778 %!assert (besselh (alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	779 %!assert (besselh (alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	780 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	781 %!assert (besselj (alpha,x,1), jxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	782 %!assert (bessely (alpha,x,1), yxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	783 %!assert (besseli (alpha,x,1), ixexp(-abs(real(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	784 %!assert (besselk (alpha,x,1), kxexp(x), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	785 %!assert (besselh (alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	786 %!assert (besselh (alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	787 %!
17336 b81b9d079515 Use '##' for comments which stand alone on a line. Rik <rik@octave.org> parents: 15195 diff changeset	788 %! ## Bessel functions, fractional order, positive and negative x
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	789 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	790 %! alpha = 3.5; x = 2.75;
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	791 %! jx = 0.1691636439842384154644784389;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	792 %! yx = -0.8301381935499356070267953387;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	793 %! ix = 0.3930540878794826310979363668;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	794 %! kx = 0.2844099013460621170288192503;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	795 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	796 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	797 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	798 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	799 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	800 %!assert (besselh (alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	801 %!assert (besselh (alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	802 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	803 %!assert (besselj (alpha,x,1), jxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	804 %!assert (bessely (alpha,x,1), yxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	805 %!assert (besseli (alpha,x,1), ixexp(-abs(real(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	806 %!assert (besselk (alpha,x,1), kxexp(x), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	807 %!assert (besselh (alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	808 %!assert (besselh (alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	809 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	810 %! nix = 0.2119931212254662995364461998;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	811 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	812 %!assert (besselj (-alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	813 %!assert (bessely (-alpha,x), -jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	814 %!assert (besseli (-alpha,x), nix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	815 %!assert (besselk (-alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	816 %!assert (besselh (-alpha,1,x), -I(jx + Iyx), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	817 %!assert (besselh (-alpha,2,x), I(jx - Iyx), 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	818 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	819 %!assert (besselj (-alpha,x,1), yxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	820 %!assert (bessely (-alpha,x,1), -jxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	821 %!assert (besseli (-alpha,x,1), nixexp(-abs(real(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	822 %!assert (besselk (-alpha,x,1), kxexp(x), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	823 %!assert (besselh (-alpha,1,x,1), -I(jx + Iyx)exp(-Ix), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	824 %!assert (besselh (-alpha,2,x,1), I(jx - Iyx)exp(Ix), 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	825 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	826 %! x *= -1;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	827 %! jx *= -I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	828 %! yx = -0.8301381935499356070267953387*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	829 %! ix *= -I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	830 %! kx = -0.9504059335995575096509874508*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	831 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	832 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	833 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	834 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	835 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	836 %!assert (besselh (alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	837 %!assert (besselh (alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	838 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	839 %!assert (besselj (alpha,x,1), jxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	840 %!assert (bessely (alpha,x,1), yxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	841 %!assert (besseli (alpha,x,1), ixexp(-abs(real(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	842 %!assert (besselk (alpha,x,1), kxexp(x), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	843 %!assert (besselh (alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	844 %!assert (besselh (alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	845 %!
17336 b81b9d079515 Use '##' for comments which stand alone on a line. Rik <rik@octave.org> parents: 15195 diff changeset	846 %! ## Bessel functions, even order, complex x
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	847 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	848 %! alpha = 2; x = 1.25 + 3.625 * I;
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	849 %! jx = -1.299533366810794494030065917 + 4.370833116012278943267479589*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	850 %! yx = -4.370357232383223896393056727 - 1.283083391453582032688834041*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	851 %! ix = -0.6717801680341515541002273932 - 0.2314623443930774099910228553*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	852 %! kx = -0.01108009888623253515463783379 + 0.2245218229358191588208084197*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	853 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	854 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	855 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	856 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	857 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	858 %!assert (besselh (alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	859 %!assert (besselh (alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	860 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	861 %!assert (besselj (alpha,x,1), jxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	862 %!assert (bessely (alpha,x,1), yxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	863 %!assert (besseli (alpha,x,1), ixexp(-abs(real(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	864 %!assert (besselk (alpha,x,1), kxexp(x), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	865 %!assert (besselh (alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	866 %!assert (besselh (alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	867 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	868 %!assert (besselj (-alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	869 %!assert (bessely (-alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	870 %!assert (besseli (-alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	871 %!assert (besselk (-alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	872 %!assert (besselh (-alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	873 %!assert (besselh (-alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	874 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	875 %!assert (besselj (-alpha,x,1), jxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	876 %!assert (bessely (-alpha,x,1), yxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	877 %!assert (besseli (-alpha,x,1), ixexp(-abs(real(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	878 %!assert (besselk (-alpha,x,1), kxexp(x), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	879 %!assert (besselh (-alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	880 %!assert (besselh (-alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	881 %!
17336 b81b9d079515 Use '##' for comments which stand alone on a line. Rik <rik@octave.org> parents: 15195 diff changeset	882 %! ## Bessel functions, odd order, complex x
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	883 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	884 %! alpha = 3; x = 2.5 + 1.875 * I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	885 %! jx = 0.1330721523048277493333458596 + 0.5386295217249660078754395597*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	886 %! yx = -0.6485072392105829901122401551 + 0.2608129289785456797046996987*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	887 %! ix = -0.6182064685486998097516365709 + 0.4677561094683470065767989920*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	888 %! kx = -0.1568585587733540007867882337 - 0.05185853709490846050505141321*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	889 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	890 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	891 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	892 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	893 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	894 %!assert (besselh (alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	895 %!assert (besselh (alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	896 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	897 %!assert (besselj (alpha,x,1), jxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	898 %!assert (bessely (alpha,x,1), yxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	899 %!assert (besseli (alpha,x,1), ixexp(-abs(real(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	900 %!assert (besselk (alpha,x,1), kxexp(x), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	901 %!assert (besselh (alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	902 %!assert (besselh (alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	903 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	904 %!assert (besselj (-alpha,x), -jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	905 %!assert (bessely (-alpha,x), -yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	906 %!assert (besseli (-alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	907 %!assert (besselk (-alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	908 %!assert (besselh (-alpha,1,x), -(jx + Iyx), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	909 %!assert (besselh (-alpha,2,x), -(jx - Iyx), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	910 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	911 %!assert (besselj (-alpha,x,1), -jxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	912 %!assert (bessely (-alpha,x,1), -yxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	913 %!assert (besseli (-alpha,x,1), ixexp(-abs(real(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	914 %!assert (besselk (-alpha,x,1), kxexp(x), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	915 %!assert (besselh (-alpha,1,x,1), -(jx + Iyx)exp(-Ix), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	916 %!assert (besselh (-alpha,2,x,1), -(jx - Iyx)exp(Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	917 %!
17336 b81b9d079515 Use '##' for comments which stand alone on a line. Rik <rik@octave.org> parents: 15195 diff changeset	918 %! ## Bessel functions, fractional order, complex x
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	919 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	920 %! alpha = 3.5; x = 1.75 + 4.125 * I;
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	921 %! jx = -3.018566131370455929707009100 - 0.7585648436793900607704057611*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	922 %! yx = 0.7772278839106298215614791107 - 3.018518722313849782683792010*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	923 %! ix = 0.2100873577220057189038160913 - 0.6551765604618246531254970926*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	924 %! kx = 0.1757147290513239935341488069 + 0.08772348296883849205562558311*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	925 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	926 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	927 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	928 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	929 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	930 %!assert (besselh (alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	931 %!assert (besselh (alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	932 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	933 %!assert (besselj (alpha,x,1), jxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	934 %!assert (bessely (alpha,x,1), yxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	935 %!assert (besseli (alpha,x,1), ixexp(-abs(real(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	936 %!assert (besselk (alpha,x,1), kxexp(x), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	937 %!assert (besselh (alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	938 %!assert (besselh (alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	939 %!
17337 a31b54b5f84a Use only 1 space between '%!' and start of test/demo code. Rik <rik@octave.org> parents: 17336 diff changeset	940 %! nix = 0.09822388691172060573913739253 - 0.7110230642207380127317227407*I;
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	941 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	942 %!assert (besselj (-alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	943 %!assert (bessely (-alpha,x), -jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	944 %!assert (besseli (-alpha,x), nix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	945 %!assert (besselk (-alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	946 %!assert (besselh (-alpha,1,x), -I(jx + Iyx), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	947 %!assert (besselh (-alpha,2,x), I(jx - Iyx), 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	948 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	949 %!assert (besselj (-alpha,x,1), yxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	950 %!assert (bessely (-alpha,x,1), -jxexp(-abs(imag(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	951 %!assert (besseli (-alpha,x,1), nixexp(-abs(real(x))), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	952 %!assert (besselk (-alpha,x,1), kxexp(x), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	953 %!assert (besselh (-alpha,1,x,1), -I(jx + Iyx)exp(-Ix), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	954 %!assert (besselh (-alpha,2,x,1), I(jx - Iyx)exp(Ix), 100*eps)
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	955
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	956
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	957 Tests contributed by Robert T. Short.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	958 Tests are based on the properties and tables in A&S:
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	959 Abramowitz and Stegun, "Handbook of Mathematical Functions",
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	960 1972.
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	961
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	962 For regular Bessel functions, there are 3 tests. These compare octave
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	963 results against Tables 9.1, 9.2, and 9.4 in A&S. Tables 9.1 and 9.2
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	964 are good to only a few decimal places, so any failures should be
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	965 considered a broken implementation. Table 9.4 is an extended table
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	966 for larger orders and arguments. There are some differences between
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	967 Octave and Table 9.4, mostly in the last decimal place but in a very
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	968 few instances the errors are in the last two places. The comparison
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	969 tolerance has been changed to reflect this.
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	970
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	971 Similarly for modifed Bessel functions, there are 3 tests. These
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	972 compare octave results against Tables 9.8, 9.9, and 9.11 in A&S.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	973 Tables 9.8 and 9.9 are good to only a few decimal places, so any
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	974 failures should be considered a broken implementation. Table 9.11 is
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	975 an extended table for larger orders and arguments. There are some
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	976 differences between octave and Table 9.11, mostly in the last decimal
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	977 place but in a very few instances the errors are in the last two
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	978 places. The comparison tolerance has been changed to reflect this.
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	979
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	980 For spherical Bessel functions, there are also three tests, comparing
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	981 octave results to Tables 10.1, 10.2, and 10.4 in A&S. Very similar
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	982 comments may be made here as in the previous lines. At this time,
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	983 modified spherical Bessel function tests are not included.
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	984
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	985 % Table 9.1 - J and Y for integer orders 0, 1, 2.
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	986 % Compare against excerpts of Table 9.1, Abramowitz and Stegun.
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	987 %!test
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	988 %! n = 0:2;
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	989 %! z = (0:2.5:17.5)';
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	990 %!
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	991 %! Jt = [[ 1.000000000000000, 0.0000000000, 0.0000000000];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	992 %! [-0.048383776468198, 0.4970941025, 0.4460590584];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	993 %! [-0.177596771314338, -0.3275791376, 0.0465651163];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	994 %! [ 0.266339657880378, 0.1352484276, -0.2302734105];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	995 %! [-0.245935764451348, 0.0434727462, 0.2546303137];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	996 %! [ 0.146884054700421, -0.1654838046, -0.1733614634];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	997 %! [-0.014224472826781, 0.2051040386, 0.0415716780];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	998 %! [-0.103110398228686, -0.1634199694, 0.0844338303]];
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	999 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1000 %! Yt = [[-Inf, -Inf, -Inf ];
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1001 %! [ 0.4980703596, 0.1459181380, -0.38133585 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1002 %! [-0.3085176252, 0.1478631434, 0.36766288 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1003 %! [ 0.1173132861, -0.2591285105, -0.18641422 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1004 %! [ 0.0556711673, 0.2490154242, -0.00586808 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1005 %! [-0.1712143068, -0.1538382565, 0.14660019 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1006 %! [ 0.2054642960, 0.0210736280, -0.20265448 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1007 %! [-0.1604111925, 0.0985727987, 0.17167666 ]];
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1008 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1009 %! J = besselj (n,z);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1010 %! Y = bessely (n,z);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1011 %! assert (Jt(:,1), J(:,1), 0.5e-10);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1012 %! assert (Yt(:,1), Y(:,1), 0.5e-10);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1013 %! assert (Jt(:,2:3), J(:,2:3), 0.5e-10);
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1014
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1015 Table 9.2 - J and Y for integer orders 3-9.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1016
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1017 %!test
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1018 %! n = (3:9);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1019 %! z = (0:2:20).';
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1020 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1021 %! Jt = [[ 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1022 %! [ 1.2894e-01, 3.3996e-02, 7.0396e-03, 1.2024e-03, 1.7494e-04, 2.2180e-05, 2.4923e-06];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1023 %! [ 4.3017e-01, 2.8113e-01, 1.3209e-01, 4.9088e-02, 1.5176e-02, 4.0287e-03, 9.3860e-04];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1024 %! [ 1.1477e-01, 3.5764e-01, 3.6209e-01, 2.4584e-01, 1.2959e-01, 5.6532e-02, 2.1165e-02];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1025 %! [-2.9113e-01,-1.0536e-01, 1.8577e-01, 3.3758e-01, 3.2059e-01, 2.2345e-01, 1.2632e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1026 %! [ 5.8379e-02,-2.1960e-01,-2.3406e-01,-1.4459e-02, 2.1671e-01, 3.1785e-01, 2.9186e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1027 %! [ 1.9514e-01, 1.8250e-01,-7.3471e-02,-2.4372e-01,-1.7025e-01, 4.5095e-02, 2.3038e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1028 %! [-1.7681e-01, 7.6244e-02, 2.2038e-01, 8.1168e-02,-1.5080e-01,-2.3197e-01,-1.1431e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1029 %! [-4.3847e-02,-2.0264e-01,-5.7473e-02, 1.6672e-01, 1.8251e-01,-7.0211e-03,-1.8953e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1030 %! [ 1.8632e-01, 6.9640e-02,-1.5537e-01,-1.5596e-01, 5.1399e-02, 1.9593e-01, 1.2276e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1031 %! [-9.8901e-02, 1.3067e-01, 1.5117e-01,-5.5086e-02,-1.8422e-01,-7.3869e-02, 1.2513e-01]];
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1032 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1033 %! Yt = [[ -Inf, -Inf, -Inf, -Inf, -Inf, -Inf, -Inf];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1034 %! [-1.1278e+00,-2.7659e+00,-9.9360e+00,-4.6914e+01,-2.7155e+02,-1.8539e+03,-1.4560e+04];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1035 %! [-1.8202e-01,-4.8894e-01,-7.9585e-01,-1.5007e+00,-3.7062e+00,-1.1471e+01,-4.2178e+01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1036 %! [ 3.2825e-01, 9.8391e-02,-1.9706e-01,-4.2683e-01,-6.5659e-01,-1.1052e+00,-2.2907e+00];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1037 %! [ 2.6542e-02, 2.8294e-01, 2.5640e-01, 3.7558e-02,-2.0006e-01,-3.8767e-01,-5.7528e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1038 %! [-2.5136e-01,-1.4495e-01, 1.3540e-01, 2.8035e-01, 2.0102e-01, 1.0755e-03,-1.9930e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1039 %! [ 1.2901e-01,-1.5122e-01,-2.2982e-01,-4.0297e-02, 1.8952e-01, 2.6140e-01, 1.5902e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1040 %! [ 1.2350e-01, 2.0393e-01,-6.9717e-03,-2.0891e-01,-1.7209e-01, 3.6816e-02, 2.1417e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1041 %! [-1.9637e-01,-7.3222e-05, 1.9633e-01, 1.2278e-01,-1.0425e-01,-2.1399e-01,-1.0975e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1042 %! [ 3.3724e-02,-1.7722e-01,-1.1249e-01, 1.1472e-01, 1.8897e-01, 3.2253e-02,-1.6030e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1043 %! [ 1.4967e-01, 1.2409e-01,-1.0004e-01,-1.7411e-01,-4.4312e-03, 1.7101e-01, 1.4124e-01]];
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1044 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1045 %! n = (3:9);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1046 %! z = (0:2:20).';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1047 %! J = besselj (n,z);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1048 %! Y = bessely (n,z);
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1049 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1050 %! assert (J(1,:), zeros (1, columns (J)));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1051 %! assert (J(2:end,:), Jt(2:end,:), -5e-5);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1052 %! assert (Yt(1,:), Y(1,:));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1053 %! assert (Y(2:end,:), Yt(2:end,:), -5e-5);
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1054
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1055 Table 9.4 - J and Y for various integer orders and arguments.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1056
14450 ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1057 %!test
ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1058 %! Jt = [[ 7.651976866e-01, 2.238907791e-01, -1.775967713e-01, -2.459357645e-01, 5.581232767e-02, 1.998585030e-02];
ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1059 %! [ 2.497577302e-04, 7.039629756e-03, 2.611405461e-01, -2.340615282e-01, -8.140024770e-02, -7.419573696e-02];
ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1060 %! [ 2.630615124e-10, 2.515386283e-07, 1.467802647e-03, 2.074861066e-01, -1.138478491e-01, -5.473217694e-02];
ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1061 %! [ 2.297531532e-17, 7.183016356e-13, 4.796743278e-07, 4.507973144e-03, -1.082255990e-01, 1.519812122e-02];
ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1062 %! [ 3.873503009e-25, 3.918972805e-19, 2.770330052e-11, 1.151336925e-05, -1.167043528e-01, 6.221745850e-02];
ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1063 %! [ 3.482869794e-42, 3.650256266e-33, 2.671177278e-21, 1.551096078e-12, 4.843425725e-02, 8.146012958e-02];
ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1064 %! [ 1.107915851e-60, 1.196077458e-48, 8.702241617e-33, 6.030895312e-21, -1.381762812e-01, 7.270175482e-02];
ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1065 %! [ 2.906004948e-80, 3.224095839e-65, 2.294247616e-45, 1.784513608e-30, 1.214090219e-01, -3.869833973e-02];
ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1066 %! [ 8.431828790e-189, 1.060953112e-158, 6.267789396e-119, 6.597316064e-89, 1.115927368e-21, 9.636667330e-02]];
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1067 %!
14450 ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1068 %! Yt = [[ 8.825696420e-02, 5.103756726e-01, -3.085176252e-01, 5.567116730e-02, -9.806499547e-02, -7.724431337e-02]
ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1069 %! [-2.604058666e+02, -9.935989128e+00, -4.536948225e-01, 1.354030477e-01, -7.854841391e-02, -2.948019628e-02]
ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1070 %! [-1.216180143e+08, -1.291845422e+05, -2.512911010e+01, -3.598141522e-01, 5.723897182e-03, 5.833157424e-02]
ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1071 %! [-9.256973276e+14, -2.981023646e+10, -4.694049564e+04, -6.364745877e+00, 4.041280205e-02, 7.879068695e-02]
ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1072 %! [-4.113970315e+22, -4.081651389e+16, -5.933965297e+08, -1.597483848e+03, 1.644263395e-02, 5.124797308e-02]
ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1073 %! [-3.048128783e+39, -2.913223848e+30, -4.028568418e+18, -7.256142316e+09, -1.164572349e-01, 6.138839212e-03]
ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1074 %! [-7.184874797e+57, -6.661541235e+45, -9.216816571e+29, -1.362803297e+18, -4.530801120e-02, 4.074685217e-02]
ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1075 %! [-2.191142813e+77, -1.976150576e+62, -2.788837017e+42, -3.641066502e+27, -2.103165546e-01, 7.650526394e-02]
ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1076 %! [-3.775287810e+185, -3.000826049e+155, -5.084863915e+115, -4.849148271e+85, -3.293800188e+18, -1.669214114e-01]];
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1077 %!
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1078 %! n = [(0:5:20).';30;40;50;100];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1079 %! z = [1,2,5,10,50,100];
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1080 %! J = besselj (n.', z.').';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1081 %! Y = bessely (n.', z.').';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1082 %! assert (J, Jt, -1e-9);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1083 %! assert (Y, Yt, -1e-9);
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1084
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1085 Table 9.8 - I and K for integer orders 0, 1, 2.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1086
14450 ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1087 %!test
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1088 %! n = 0:2;
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1089 %! z1 = [0.1;2.5;5.0];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1090 %! z2 = [7.5;10.0;15.0;20.0];
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1091 %! rtbl = [[ 0.9071009258 0.0452984468 0.1251041992 2.6823261023 10.890182683 1.995039646 ];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1092 %! [ 0.2700464416 0.2065846495 0.2042345837 0.7595486903 0.9001744239 0.759126289 ];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1093 %! [ 0.1835408126 0.1639722669 0.7002245988 0.5478075643 0.6002738588 0.132723593 ];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1094 %! [ 0.1483158301 0.1380412115 0.111504840 0.4505236991 0.4796689336 0.57843541 ];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1095 %! [ 0.1278333372 0.1212626814 0.103580801 0.3916319344 0.4107665704 0.47378525 ];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1096 %! [ 0.1038995314 0.1003741751 0.090516308 0.3210023535 0.3315348950 0.36520701 ];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1097 %! [ 0.0897803119 0.0875062222 0.081029690 0.2785448768 0.2854254970 0.30708743 ]];
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1098 %!
14450 ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1099 %! tbl = [besseli(n,z1,1), besselk(n,z1,1)];
14854 5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1100 %! tbl(:,3) = tbl(:,3) .* (exp (z1) .* z1.^(-2));
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1101 %! tbl(:,6) = tbl(:,6) .* (exp (-z1) .* z1.^(2));
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1102 %! tbl = [tbl;[besseli(n,z2,1),besselk(n,z2,1)]];
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1103 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1104 %! assert (tbl, rtbl, -2e-8);
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1105
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1106 Table 9.9 - I and K for orders 3-9.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1107
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1108 %!test
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1109 %! It = [[ 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1110 %! [ 2.8791e-02 6.8654e-03 1.3298e-03 2.1656e-04 3.0402e-05 3.7487e-06 4.1199e-07];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1111 %! [ 6.1124e-02 2.5940e-02 9.2443e-03 2.8291e-03 7.5698e-04 1.7968e-04 3.8284e-05];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1112 %! [ 7.4736e-02 4.1238e-02 1.9752e-02 8.3181e-03 3.1156e-03 1.0484e-03 3.1978e-04];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1113 %! [ 7.9194e-02 5.0500e-02 2.8694e-02 1.4633e-02 6.7449e-03 2.8292e-03 1.0866e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1114 %! [ 7.9830e-02 5.5683e-02 3.5284e-02 2.0398e-02 1.0806e-02 5.2694e-03 2.3753e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1115 %! [ 7.8848e-02 5.8425e-02 3.9898e-02 2.5176e-02 1.4722e-02 8.0010e-03 4.0537e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1116 %! [ 7.7183e-02 5.9723e-02 4.3056e-02 2.8969e-02 1.8225e-02 1.0744e-02 5.9469e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1117 %! [ 7.5256e-02 6.0155e-02 4.5179e-02 3.1918e-02 2.1240e-02 1.3333e-02 7.9071e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1118 %! [ 7.3263e-02 6.0059e-02 4.6571e-02 3.4186e-02 2.3780e-02 1.5691e-02 9.8324e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1119 %! [ 7.1300e-02 5.9640e-02 4.7444e-02 3.5917e-02 2.5894e-02 1.7792e-02 1.1661e-02]];
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1120 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1121 %! Kt = [[ Inf Inf Inf Inf Inf Inf Inf];
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1122 %! [ 4.7836e+00 1.6226e+01 6.9687e+01 3.6466e+02 2.2576e+03 1.6168e+04 1.3160e+05];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1123 %! [ 1.6317e+00 3.3976e+00 8.4268e+00 2.4465e+01 8.1821e+01 3.1084e+02 1.3252e+03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1124 %! [ 9.9723e-01 1.6798e+00 3.2370e+00 7.0748e+00 1.7387e+01 4.7644e+01 1.4444e+02];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1125 %! [ 7.3935e-01 1.1069e+00 1.8463e+00 3.4148e+00 6.9684e+00 1.5610e+01 3.8188e+01];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1126 %! [ 6.0028e-01 8.3395e-01 1.2674e+00 2.1014e+00 3.7891e+00 7.4062e+00 1.5639e+01];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1127 %! [ 5.1294e-01 6.7680e-01 9.6415e-01 1.4803e+00 2.4444e+00 4.3321e+00 8.2205e+00];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1128 %! [ 4.5266e-01 5.7519e-01 7.8133e-01 1.1333e+00 1.7527e+00 2.8860e+00 5.0510e+00];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1129 %! [ 4.0829e-01 5.0414e-01 6.6036e-01 9.1686e-01 1.3480e+00 2.0964e+00 3.4444e+00];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1130 %! [ 3.7411e-01 4.5162e-01 5.7483e-01 7.7097e-01 1.0888e+00 1.6178e+00 2.5269e+00];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1131 %! [ 3.4684e-01 4.1114e-01 5.1130e-01 6.6679e-01 9.1137e-01 1.3048e+00 1.9552e+00]];
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1132 %!
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1133 %! n = (3:9);
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1134 %! z = (0:2:20).';
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1135 %! I = besseli (n,z,1);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1136 %! K = besselk (n,z,1);
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1137 %!
14854 5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1138 %! assert (abs (I(1,:)), zeros (1, columns (I)));
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1139 %! assert (I(2:end,:), It(2:end,:), -5e-5);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1140 %! assert (Kt(1,:), K(1,:));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1141 %! assert (K(2:end,:), Kt(2:end,:), -5e-5);
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1142
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1143 Table 9.11 - I and K for various integer orders and arguments.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1144
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1145 %!test
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1146 %! It = [[ 1.266065878e+00 2.279585302e+00 2.723987182e+01 2.815716628e+03 2.93255378e+20 1.07375171e+42 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1147 %! [ 2.714631560e-04 9.825679323e-03 2.157974547e+00 7.771882864e+02 2.27854831e+20 9.47009387e+41 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1148 %! [ 2.752948040e-10 3.016963879e-07 4.580044419e-03 2.189170616e+01 1.07159716e+20 6.49897552e+41 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1149 %! [ 2.370463051e-17 8.139432531e-13 1.047977675e-06 1.043714907e-01 3.07376455e+19 3.47368638e+41 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1150 %! [ 3.966835986e-25 4.310560576e-19 5.024239358e-11 1.250799736e-04 5.44200840e+18 1.44834613e+41 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1151 %! [ 3.539500588e-42 3.893519664e-33 3.997844971e-21 7.787569783e-12 4.27499365e+16 1.20615487e+40 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1152 %! [ 1.121509741e-60 1.255869192e-48 1.180426980e-32 2.042123274e-20 6.00717897e+13 3.84170550e+38 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1153 %! [ 2.934635309e-80 3.353042830e-65 2.931469647e-45 4.756894561e-30 1.76508024e+10 4.82195809e+36 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1154 %! [ 8.473674008e-189 1.082171475e-158 7.093551489e-119 1.082344202e-88 2.72788795e-16 4.64153494e+21 ]];
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1155 %!
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1156 %! Kt = [[ 4.210244382e-01 1.138938727e-01 3.691098334e-03 1.778006232e-05 3.41016774e-23 4.65662823e-45 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1157 %! [ 3.609605896e+02 9.431049101e+00 3.270627371e-02 5.754184999e-05 4.36718224e-23 5.27325611e-45 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1158 %! [ 1.807132899e+08 1.624824040e+05 9.758562829e+00 1.614255300e-03 9.15098819e-23 7.65542797e-45 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1159 %! [ 1.403066801e+15 4.059213332e+10 3.016976630e+04 2.656563849e-01 3.11621117e-22 1.42348325e-44 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1160 %! [ 6.294369360e+22 5.770856853e+16 4.827000521e+08 1.787442782e+02 1.70614838e-21 3.38520541e-44 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1161 %! [ 4.706145527e+39 4.271125755e+30 4.112132063e+18 2.030247813e+09 2.00581681e-19 3.97060205e-43 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1162 %! [ 1.114220651e+58 9.940839886e+45 1.050756722e+30 5.938224681e+17 1.29986971e-16 1.20842080e-41 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1163 %! [ 3.406896854e+77 2.979981740e+62 3.394322243e+42 2.061373775e+27 4.00601349e-13 9.27452265e-40 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1164 %! [ 5.900333184e+185 4.619415978e+155 7.039860193e+115 4.596674084e+85 1.63940352e+13 7.61712963e-25 ]];
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1165 %!
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1166 %! n = [(0:5:20).';30;40;50;100];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1167 %! z = [1,2,5,10,50,100];
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1168 %! I = besseli (n.', z.').';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1169 %! K = besselk (n.', z.').';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1170 %! assert (I, It, -5e-9);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1171 %! assert (K, Kt, -5e-9);
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1172
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1173 The next section checks that negative integer orders and positive
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1174 integer orders are appropriately related.
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1175
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1176 %!test
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1177 %! n = (0:2:20);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1178 %! assert (besselj (n,1), besselj (-n,1), 1e-8);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1179 %! assert (-besselj (n+1,1), besselj (-n-1,1), 1e-8);
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1180
14854 5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1181 besseli (n,z) = besseli (-n,z);
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1182
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1183 %!test
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1184 %! n = (0:2:20);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1185 %! assert (besseli (n,1), besseli (-n,1), 1e-8);
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1186
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1187 Table 10.1 - j and y for integer orders 0, 1, 2.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1188 Compare against excerpts of Table 10.1, Abramowitz and Stegun.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1189
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1190 %!test
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1191 %! n = (0:2);
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1192 %! z = [0.1;(2.5:2.5:10.0).'];
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1193 %!
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1194 %! jt = [[ 9.9833417e-01 3.33000119e-02 6.6619061e-04 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1195 %! [ 2.3938886e-01 4.16212989e-01 2.6006673e-01 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1196 %! [-1.9178485e-01 -9.50894081e-02 1.3473121e-01 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1197 %! [ 1.2507e-01 -2.9542e-02 -1.3688e-01 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1198 %! [ -5.4402e-02 7.8467e-02 7.7942e-02 ]];
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1199 %!
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1200 %! yt = [[-9.9500417e+00 -1.0049875e+02 -3.0050125e+03 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1201 %! [ 3.2045745e-01 -1.1120588e-01 -4.5390450e-01 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1202 %! [-5.6732437e-02 1.8043837e-01 1.6499546e-01 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1203 %! [ -4.6218e-02 -1.3123e-01 -6.2736e-03 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1204 %! [ 8.3907e-02 6.2793e-02 -6.5069e-02 ]];
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1205 %!
14854 5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1206 %! j = sqrt ((pi/2)./z) .* besselj (n+1/2,z);
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1207 %! y = sqrt ((pi/2)./z) .* bessely (n+1/2,z);
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1208 %! assert (jt, j, -5e-5);
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1209 %! assert (yt, y, -5e-5);
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1210
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1211 Table 10.2 - j and y for orders 3-8.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1212 Compare against excerpts of Table 10.2, Abramowitzh and Stegun.
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1213
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1214 Important note: In A&S, y_4(0.1) = -1.0507e+7, but Octave returns
14854 5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1215 y_4(0.1) = -1.0508e+07 (-10507503.75). If I compute the same term using
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1216 a series, the difference is in the eighth significant digit so I left
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1217 the Octave results in place.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1218
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1219 %!test
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1220 %! n = (3:8);
14854 5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1221 %! z = (0:2.5:10).'; z(1) = 0.1;
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1222 %!
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1223 %! jt = [[ 9.5185e-06 1.0577e-07 9.6163e-10 7.3975e-12 4.9319e-14 2.9012e-16];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1224 %! [ 1.0392e-01 3.0911e-02 7.3576e-03 1.4630e-03 2.5009e-04 3.7516e-05];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1225 %! [ 2.2982e-01 1.8702e-01 1.0681e-01 4.7967e-02 1.7903e-02 5.7414e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1226 %! [-6.1713e-02 7.9285e-02 1.5685e-01 1.5077e-01 1.0448e-01 5.8188e-02];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1227 %! [-3.9496e-02 -1.0559e-01 -5.5535e-02 4.4501e-02 1.1339e-01 1.2558e-01]];
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1228 %!
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1229 %! yt = [[-1.5015e+05 -1.0508e+07 -9.4553e+08 -1.0400e+11 -1.3519e+13 -2.0277e+15];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1230 %! [-7.9660e-01 -1.7766e+00 -5.5991e+00 -2.2859e+01 -1.1327e+02 -6.5676e+02];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1231 %! [-1.5443e-02 -1.8662e-01 -3.2047e-01 -5.1841e-01 -1.0274e+00 -2.5638e+00];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1232 %! [ 1.2705e-01 1.2485e-01 2.2774e-02 -9.1449e-02 -1.8129e-01 -2.7112e-01];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1233 %! [-9.5327e-02 -1.6599e-03 9.3834e-02 1.0488e-01 4.2506e-02 -4.1117e-02]];
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1234 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1235 %! j = sqrt ((pi/2)./z) .* besselj (n+1/2,z);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1236 %! y = sqrt ((pi/2)./z) .* bessely (n+1/2,z);
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1237 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1238 %! assert (jt, j, -5e-5);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1239 %! assert (yt, y, -5e-5);
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1240
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1241 Table 10.4 - j and y for various integer orders and arguments.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1242
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1243 %!test
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1244 %! jt = [[ 8.414709848e-01 4.546487134e-01 -1.917848549e-01 -5.440211109e-02 -5.247497074e-03 -5.063656411e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1245 %! [ 9.256115861e-05 2.635169770e-03 1.068111615e-01 -5.553451162e-02 -2.004830056e-02 -9.290148935e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1246 %! [ 7.116552640e-11 6.825300865e-08 4.073442442e-04 6.460515449e-02 -1.503922146e-02 -1.956578597e-04];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1247 %! [ 5.132686115e-18 1.606982166e-13 1.084280182e-07 1.063542715e-03 -1.129084539e-02 7.877261748e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1248 %! [ 7.537795722e-26 7.632641101e-20 5.427726761e-12 2.308371961e-06 -1.578502990e-02 1.010767128e-02];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1249 %! [ 5.566831267e-43 5.836617888e-34 4.282730217e-22 2.512057385e-13 -1.494673454e-03 8.700628514e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1250 %! [ 1.538210374e-61 1.660978779e-49 1.210347583e-33 8.435671634e-22 -2.606336952e-02 1.043410851e-02];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1251 %! [ 3.615274717e-81 4.011575290e-66 2.857479350e-46 2.230696023e-31 1.882910737e-02 5.797140882e-04];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1252 %! [7.444727742e-190 9.367832591e-160 5.535650303e-120 5.832040182e-90 1.019012263e-22 1.088047701e-02]];
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1253 %!
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1254 %! yt = [[ -5.403023059e-01 2.080734183e-01 -5.673243709e-02 8.390715291e-02 -1.929932057e-02 -8.623188723e-03]
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1255 %! [ -9.994403434e+02 -1.859144531e+01 -3.204650467e-01 9.383354168e-02 -6.971131965e-04 3.720678486e-03]
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1256 %! [ -6.722150083e+08 -3.554147201e+05 -2.665611441e+01 -1.724536721e-01 1.352468751e-02 1.002577737e-02]
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1257 %! [ -6.298007233e+15 -1.012182944e+11 -6.288146513e+04 -3.992071745e+00 1.712319725e-02 6.258641510e-03]
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1258 %! [ -3.239592219e+23 -1.605436493e+17 -9.267951403e+08 -1.211210605e+03 1.375953130e-02 5.631729379e-05]
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1259 %! [ -2.946428547e+40 -1.407393871e+31 -7.760717570e+18 -6.908318646e+09 -2.241226812e-02 -5.412929349e-03]
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1260 %! [ -8.028450851e+58 -3.720929322e+46 -2.055758716e+30 -1.510304919e+18 4.978797221e-05 -7.048420407e-04]
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1261 %! [ -2.739192285e+78 -1.235021944e+63 -6.964109188e+42 -4.528227272e+27 -4.190000150e-02 1.074782297e-02]
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1262 %! [-6.683079463e+186 -2.655955830e+156 -1.799713983e+116 -8.573226309e+85 -1.125692891e+18 -2.298385049e-02]];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1263 %!
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1264 %! n = [(0:5:20).';30;40;50;100];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1265 %! z = [1,2,5,10,50,100];
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1266 %! j = sqrt ((pi/2)./z) .* besselj ((n+1/2).', z.').';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1267 %! y = sqrt ((pi/2)./z) .* bessely ((n+1/2).', z.').';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1268 %! assert (j, jt, -1e-9);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1269 %! assert (y, yt, -1e-9);
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	1270 */

Mercurial > octave-nkf

annotate libinterp/corefcn/besselj.cc @ 20124:93b3757a9623