octave-nkf: src/DLD-FUNCTIONS/besselj.cc annotate

annotate src/DLD-FUNCTIONS/besselj.cc @ 14450:ab4676288414

Fix typos and errors in new bessel function tests * besselj.cc: Fix incorrect signs on expected results, missing argument on besselk call, and tolerance too small for values with not enough precision.

author	Mike Miller <mtmiller@ieee.org>
date	Sat, 10 Mar 2012 15:53:55 -0500
parents	e28a1723d5a2
children	60e5cf354d80

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
14138 72c96de7a403 maint: update copyright notices for 2012 John W. Eaton <jwe@octave.org> parents: 12642 diff changeset	3 Copyright (C) 1997-2012 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
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	30 #include "defun-dld.h"
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 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	97 bool scaled = (nargin == 3);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	98
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	99 octave_value alpha_arg = args(0);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	100 octave_value x_arg = args(1);
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	101
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	102 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	103 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	104 if (alpha_arg.is_scalar_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	105 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	106 float alpha = args(0).float_value ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4153 diff changeset	107
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	108 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	109 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	110 if (x_arg.is_scalar_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	111 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	112 FloatComplex x = x_arg.float_complex_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	113
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	114 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	115 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	116 octave_idx_type ierr;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	117 octave_value result;
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	118
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	119 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	120
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	121 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	122 retval(1) = static_cast<float> (ierr);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	123
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	124 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	125 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	126 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	127 gripe_bessel_arg (fn, "second");
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 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	130 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	131 FloatComplexNDArray x = x_arg.float_complex_array_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	132
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	133 if (! error_state)
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 Array<octave_idx_type> ierr;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	136 octave_value result;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	137
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	138 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	139
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	140 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	141 retval(1) = NDArray (ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	142
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	143 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	144 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	145 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	146 gripe_bessel_arg (fn, "second");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	147 }
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, "first");
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 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	154 dim_vector dv0 = args(0).dims ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	155 dim_vector dv1 = args(1).dims ();
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 bool args0_is_row_vector = (dv0 (1) == dv0.numel ());
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	158 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	159
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	160 if (args0_is_row_vector && args1_is_col_vector)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	161 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	162 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	163
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	164 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	165 {
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	166 FloatComplexColumnVector cx =
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	167 x_arg.float_complex_column_vector_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	168
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	169 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	170 {
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	171 Array<octave_idx_type> ierr;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	172 octave_value result;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	173
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	174 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	175
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	176 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	177 retval(1) = NDArray (ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	178
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	179 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	180 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	181 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	182 gripe_bessel_arg (fn, "second");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	183 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	184 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	185 gripe_bessel_arg (fn, "first");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	186 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	187 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	188 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	189 FloatNDArray alpha = args(0).float_array_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	190
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	191 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	192 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	193 if (x_arg.is_scalar_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	194 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	195 FloatComplex x = x_arg.float_complex_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	196
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	197 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	198 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	199 Array<octave_idx_type> ierr;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	200 octave_value result;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	201
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	202 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	203
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	204 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	205 retval(1) = NDArray (ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	206
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	207 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	208 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	209 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	210 gripe_bessel_arg (fn, "second");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	211 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	212 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	213 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	214 FloatComplexNDArray x = x_arg.float_complex_array_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	215
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	216 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	217 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	218 Array<octave_idx_type> ierr;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	219 octave_value result;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	220
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	221 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	222
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	223 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	224 retval(1) = NDArray (ierr);
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 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	227 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	228 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	229 gripe_bessel_arg (fn, "second");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	230 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	231 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	232 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	233 gripe_bessel_arg (fn, "first");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	234 }
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 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	237 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	238 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	239 if (alpha_arg.is_scalar_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	240 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	241 double alpha = args(0).double_value ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	242
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	243 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	244 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	245 if (x_arg.is_scalar_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	246 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	247 Complex x = x_arg.complex_value ();
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	248
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	249 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	250 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	251 octave_idx_type ierr;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	252 octave_value result;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	253
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	254 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	255
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	256 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	257 retval(1) = static_cast<double> (ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	258
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	259 retval(0) = result;
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 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	262 gripe_bessel_arg (fn, "second");
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 else
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 ComplexNDArray x = x_arg.complex_array_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 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 Array<octave_idx_type> ierr;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	271 octave_value result;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	272
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	273 DO_BESSEL (type, alpha, x, scaled, ierr, result);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	274
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	275 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	276 retval(1) = NDArray (ierr);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	277
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	278 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	279 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	280 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	281 gripe_bessel_arg (fn, "second");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	282 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	283 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	284 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	285 gripe_bessel_arg (fn, "first");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	286 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	287 else
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 dim_vector dv0 = args(0).dims ();
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	290 dim_vector dv1 = args(1).dims ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	291
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	292 bool args0_is_row_vector = (dv0 (1) == dv0.numel ());
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	293 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	294
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	295 if (args0_is_row_vector && args1_is_col_vector)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	296 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	297 RowVector ralpha = args(0).row_vector_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	298
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	299 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	300 {
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	301 ComplexColumnVector cx =
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	302 x_arg.complex_column_vector_value ();
4844 9f7ef92b50b0 [project @ 2004-04-02 17:26:53 by jwe] jwe parents: 4153 diff changeset	303
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	304 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	305 {
10352 a3635bc1ea19 remove Array2 Jaroslav Hajek <highegg@gmail.com> parents: 10155 diff changeset	306 Array<octave_idx_type> ierr;
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	307 octave_value result;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	308
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	309 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	310
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	311 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	312 retval(1) = NDArray (ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	313
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	314 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	315 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	316 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	317 gripe_bessel_arg (fn, "second");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	318 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	319 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	320 gripe_bessel_arg (fn, "first");
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 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	323 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	324 NDArray alpha = args(0).array_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	325
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	326 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	327 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	328 if (x_arg.is_scalar_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	329 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	330 Complex x = x_arg.complex_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	331
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	332 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	333 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	334 Array<octave_idx_type> ierr;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	335 octave_value result;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	336
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	337 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	338
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	339 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	340 retval(1) = NDArray (ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	341
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	342 retval(0) = result;
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, "second");
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 ComplexNDArray x = x_arg.complex_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 Array<octave_idx_type> ierr;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	354 octave_value result;
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	355
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	356 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	357
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	358 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	359 retval(1) = NDArray (ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	360
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	361 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	362 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	363 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	364 gripe_bessel_arg (fn, "second");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	365 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	366 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	367 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	368 gripe_bessel_arg (fn, "first");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	369 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	370 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	371 }
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	372 }
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	373 else
5823 080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe] jwe parents: 5760 diff changeset	374 print_usage ();
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	375
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	376 return retval;
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	377 }
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	378
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	379 DEFUN_DLD (besselj, args, nargout,
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	380 "-- texinfo --\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	381 @deftypefn {Loadable Function} {[@var{j}, @var{ierr}] =} besselj (@var{alpha}, @var{x}, @var{opt})\n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	382 @deftypefnx {Loadable Function} {[@var{y}, @var{ierr}] =} bessely (@var{alpha}, @var{x}, @var{opt})\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	383 @deftypefnx {Loadable Function} {[@var{i}, @var{ierr}] =} besseli (@var{alpha}, @var{x}, @var{opt})\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	384 @deftypefnx {Loadable Function} {[@var{k}, @var{ierr}] =} besselk (@var{alpha}, @var{x}, @var{opt})\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	385 @deftypefnx {Loadable Function} {[@var{h}, @var{ierr}] =} besselh (@var{alpha}, @var{k}, @var{x}, @var{opt})\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	386 Compute Bessel or Hankel functions of various kinds:\n\
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	387 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	388 @table @code\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	389 @item besselj\n\
12642 f96b9b9f141b doc: Periodic grammarcheck and spellcheck of documentation. Rik <octave@nomad.inbox5.com> parents: 12483 diff changeset	390 Bessel functions of the first kind. If the argument @var{opt} is supplied,\n\
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	391 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	392 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	393 @item bessely\n\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8920 diff changeset	394 Bessel functions of the second kind. If the argument @var{opt} is supplied,\n\
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	395 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	396 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	397 @item besseli\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	398 \n\
89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	399 Modified Bessel functions of the first kind. If the argument @var{opt} is\n\
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	400 supplied, 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	401 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	402 @item besselk\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	403 \n\
89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	404 Modified Bessel functions of the second kind. If the argument @var{opt} is\n\
11553 01f703952eff Improve docstrings for functions in DLD-FUNCTIONS directory. Rik <octave@nomad.inbox5.com> parents: 11523 diff changeset	405 supplied, the result is multiplied by @code{exp(@var{x})}.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	406 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	407 @item besselh\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	408 Compute Hankel functions of the first (@var{k} = 1) or second (@var{k}\n\
10846 a4f482e66b65 Grammarcheck more of the documentation. Rik <octave@nomad.inbox5.com> parents: 10840 diff changeset	409 = 2) kind. If the argument @var{opt} is supplied, the result is multiplied\n\
a4f482e66b65 Grammarcheck more of the documentation. Rik <octave@nomad.inbox5.com> parents: 10840 diff changeset	410 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	411 @var{k} = 2.\n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	412 @end table\n\
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	413 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	414 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	415 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	416 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	417 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	418 @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	419 @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	420 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	421 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	422 complex.\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	423 \n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	424 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	425 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	426 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	427 @enumerate 0\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	428 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	429 Normal return.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	430 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	431 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	432 Input error, return @code{NaN}.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	433 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	434 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	435 Overflow, return @code{Inf}.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	436 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	437 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	438 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	439 half of machine accuracy.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	440 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	441 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	442 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	443 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	444 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	445 Error---no computation, algorithm termination condition not met,\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	446 return @code{NaN}.\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	447 @end enumerate\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	448 @end deftypefn")
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	449 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	450 return do_bessel (BESSEL_J, "besselj", args, nargout);
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	451 }
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	452
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	453 DEFUN_DLD (bessely, args, nargout,
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	454 "-- texinfo --\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	455 @deftypefn {Loadable Function} {[@var{y}, @var{ierr}] =} bessely (@var{alpha}, @var{x}, @var{opt})\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	456 See besselj.\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	457 @end deftypefn")
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	458 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	459 return do_bessel (BESSEL_Y, "bessely", args, nargout);
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	460 }
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	461
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	462 DEFUN_DLD (besseli, args, nargout,
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	463 "-- texinfo --\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	464 @deftypefn {Loadable Function} {[@var{i}, @var{ierr}] =} besseli (@var{alpha}, @var{x}, @var{opt})\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	465 See besselj.\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	466 @end deftypefn")
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	467 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	468 return do_bessel (BESSEL_I, "besseli", args, nargout);
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	469 }
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	470
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	471 DEFUN_DLD (besselk, args, nargout,
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	472 "-- texinfo --\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	473 @deftypefn {Loadable Function} {[@var{k}, @var{ierr}] =} besselk (@var{alpha}, @var{x}, @var{opt})\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	474 See besselj.\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	475 @end deftypefn")
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	476 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	477 return do_bessel (BESSEL_K, "besselk", args, nargout);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	478 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	479
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	480 DEFUN_DLD (besselh, args, nargout,
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	481 "-- texinfo --\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	482 @deftypefn {Loadable Function} {[@var{h}, @var{ierr}] =} besselh (@var{alpha}, @var{k}, @var{x}, @var{opt})\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	483 See besselj.\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	484 @end deftypefn")
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	485 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	486 octave_value_list retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	487
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	488 int nargin = args.length ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	489
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	490 if (nargin == 2)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	491 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	492 retval = do_bessel (BESSEL_H1, "besselh", args, nargout);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	493 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	494 else if (nargin == 3 \|\| nargin == 4)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	495 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 4844 diff changeset	496 octave_idx_type kind = args(1).int_value ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	497
3810 f19f00339363 [project @ 2001-03-29 21:03:01 by jwe] jwe parents: 3568 diff changeset	498 if (! error_state)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	499 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	500 octave_value_list tmp_args;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	501
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	502 if (nargin == 4)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	503 tmp_args(2) = args(3);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	504
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	505 tmp_args(1) = args(2);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	506 tmp_args(0) = args(0);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	507
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	508 if (kind == 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	509 retval = do_bessel (BESSEL_H1, "besselh", tmp_args, nargout);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	510 else if (kind == 2)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	511 retval = do_bessel (BESSEL_H2, "besselh", tmp_args, nargout);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	512 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	513 error ("besselh: expecting K = 1 or 2");
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	514 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	515 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	516 error ("besselh: invalid value of K");
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	517 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	518 else
5823 080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe] jwe parents: 5760 diff changeset	519 print_usage ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	520
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	521 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	522 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	523
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	524 DEFUN_DLD (airy, args, nargout,
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	525 "-- texinfo --\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	526 @deftypefn {Loadable 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	527 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	528 derivatives.\n\
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	529 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	530 @example\n\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8920 diff changeset	531 @group\n\
7031 120f3135952f [project @ 2007-10-15 15:30:03 by jwe] jwe parents: 7017 diff changeset	532 K Function Scale factor (if 'opt' is supplied)\n\
120f3135952f [project @ 2007-10-15 15:30:03 by jwe] jwe parents: 7017 diff changeset	533 --- -------- ---------------------------------------\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	534 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	535 1 dAi(Z)/dZ 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	536 2 Bi (Z) exp (-abs (real ((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	537 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	538 @end group\n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	539 @end example\n\
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	540 \n\
3549 03025e79d8b9 [project @ 2000-02-03 01:28:24 by jwe] jwe parents: 3548 diff changeset	541 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	542 @code{airy (0, @var{z})}.\n\
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	543 \n\
3549 03025e79d8b9 [project @ 2000-02-03 01:28:24 by jwe] jwe parents: 3548 diff changeset	544 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	545 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	546 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	547 is the same size as the result.\n\
3548 ab7fa5a8f23f [project @ 2000-02-03 01:17:15 by jwe] jwe parents: 3499 diff changeset	548 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	549 @enumerate 0\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	550 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	551 Normal return.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	552 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	553 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	554 Input error, return @code{NaN}.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	555 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	556 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	557 Overflow, return @code{Inf}.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	558 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	559 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	560 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	561 of machine accuracy.\n\
10840 89f4d7e294cc Grammarcheck .cc files Rik <octave@nomad.inbox5.com> parents: 10352 diff changeset	562 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	563 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	564 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	565 \n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	566 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	567 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	568 return @code{NaN}.\n\
3459 8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	569 @end enumerate\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe] jwe parents: 3325 diff changeset	570 @end deftypefn")
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	571 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	572 octave_value_list retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	573
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	574 int nargin = args.length ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	575
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	576 if (nargin > 0 && nargin < 4)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	577 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	578 bool scale = (nargin == 3);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	579
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	580 int kind = 0;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	581
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	582 if (nargin > 1)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	583 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	584 kind = args(0).int_value ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	585
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	586 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	587 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	588 if (kind < 0 \|\| kind > 3)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	589 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	590 }
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	591 else
12483 7a5aacf65f81 Rewrite error strings in src/ to use variables named in documentation. Rik <octave@nomad.inbox5.com> parents: 11586 diff changeset	592 error ("airy: K must be an integer value");
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	593 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	594
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	595 if (! error_state)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	596 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	597 int idx = nargin == 1 ? 0 : 1;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	598
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	599 if (args (idx).is_single_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	600 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	601 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	602
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	603 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	604 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	605 Array<octave_idx_type> ierr;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	606 octave_value result;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	607
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	608 if (kind > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	609 result = biry (z, kind == 3, scale, ierr);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	610 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	611 result = airy (z, kind == 1, scale, ierr);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	612
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	613 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	614 retval(1) = NDArray (ierr);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	615
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	616 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	617 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	618 else
12483 7a5aacf65f81 Rewrite error strings in src/ to use variables named in documentation. Rik <octave@nomad.inbox5.com> parents: 11586 diff changeset	619 error ("airy: Z must be a complex matrix");
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	620 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	621 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	622 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	623 ComplexNDArray z = args(idx).complex_array_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	624
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	625 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	626 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	627 Array<octave_idx_type> ierr;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	628 octave_value result;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	629
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	630 if (kind > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	631 result = biry (z, kind == 3, scale, ierr);
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	632 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	633 result = airy (z, kind == 1, scale, ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	634
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	635 if (nargout > 1)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	636 retval(1) = NDArray (ierr);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	637
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	638 retval(0) = result;
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	639 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	640 else
12483 7a5aacf65f81 Rewrite error strings in src/ to use variables named in documentation. Rik <octave@nomad.inbox5.com> parents: 11586 diff changeset	641 error ("airy: Z must be a complex matrix");
10154 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 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	644 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	645 else
5823 080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe] jwe parents: 5760 diff changeset	646 print_usage ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	647
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	648 return retval;
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	649 }
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	650
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	651 /*
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	652 %! # Test values computed with GP/PARI version 2.3.3
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	653 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	654 %!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	655 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	656 %! # Bessel functions, even order, positive and negative x
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	657 %! alpha = 2; x = 1.25;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	658 %! jx = 0.1710911312405234823613091417;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	659 %! yx = -1.193199310178553861283790424;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	660 %! ix = 0.2220184483766341752692212604;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	661 %! kx = 0.9410016167388185767085460540;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	662 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	663 %!assert(besselj(alpha,x), jx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	664 %!assert(bessely(alpha,x), yx, 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	665 %!assert(besseli(alpha,x), ix, 100*eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	666 %!assert(besselk(alpha,x), kx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	667 %!assert(besselh(alpha,1,x), jx + Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	668 %!assert(besselh(alpha,2,x), jx - Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	669 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	670 %!assert(besselj(alpha,x,1), jxexp(-abs(imag(x))), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	671 %!assert(bessely(alpha,x,1), yxexp(-abs(imag(x))), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	672 %!assert(besseli(alpha,x,1), ixexp(-abs(real(x))), 100eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	673 %!assert(besselk(alpha,x,1), kxexp(x), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	674 %!assert(besselh(alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	675 %!assert(besselh(alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	676 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	677 %!assert(besselj(-alpha,x), jx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	678 %!assert(bessely(-alpha,x), yx, 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	679 %!assert(besseli(-alpha,x), ix, 100*eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	680 %!assert(besselk(-alpha,x), kx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	681 %!assert(besselh(-alpha,1,x), jx + Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	682 %!assert(besselh(-alpha,2,x), jx - Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	683 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	684 %!assert(besselj(-alpha,x,1), jxexp(-abs(imag(x))), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	685 %!assert(bessely(-alpha,x,1), yxexp(-abs(imag(x))), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	686 %!assert(besseli(-alpha,x,1), ixexp(-abs(real(x))), 100eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	687 %!assert(besselk(-alpha,x,1), kxexp(x), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	688 %!assert(besselh(-alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	689 %!assert(besselh(-alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	690 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	691 %! x *= -1;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	692 %! 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	693 %! 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	694 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	695 %!assert(besselj(alpha,x), jx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	696 %!assert(bessely(alpha,x), yx, 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	697 %!assert(besseli(alpha,x), ix, 100*eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	698 %!assert(besselk(alpha,x), kx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	699 %!assert(besselh(alpha,1,x), jx + Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	700 %!assert(besselh(alpha,2,x), jx - Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	701 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	702 %!assert(besselj(alpha,x,1), jxexp(-abs(imag(x))), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	703 %!assert(bessely(alpha,x,1), yxexp(-abs(imag(x))), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	704 %!assert(besseli(alpha,x,1), ixexp(-abs(real(x))), 100eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	705 %!assert(besselk(alpha,x,1), kxexp(x), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	706 %!assert(besselh(alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	707 %!assert(besselh(alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	708 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	709 %! # Bessel functions, odd order, positive and negative x
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	710 %! alpha = 3; x = 2.5;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	711 %! jx = 0.2166003910391135247666890035;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	712 %! yx = -0.7560554967536709968379029772;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	713 %! ix = 0.4743704087780355895548240179;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	714 %! kx = 0.2682271463934492027663765197;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	715 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	716 %!assert(besselj(alpha,x), jx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	717 %!assert(bessely(alpha,x), yx, 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	718 %!assert(besseli(alpha,x), ix, 100*eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	719 %!assert(besselk(alpha,x), kx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	720 %!assert(besselh(alpha,1,x), jx + Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	721 %!assert(besselh(alpha,2,x), jx - Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	722 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	723 %!assert(besselj(alpha,x,1), jxexp(-abs(imag(x))), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	724 %!assert(bessely(alpha,x,1), yxexp(-abs(imag(x))), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	725 %!assert(besseli(alpha,x,1), ixexp(-abs(real(x))), 100eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	726 %!assert(besselk(alpha,x,1), kxexp(x), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	727 %!assert(besselh(alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	728 %!assert(besselh(alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	729 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	730 %!assert(besselj(-alpha,x), -jx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	731 %!assert(bessely(-alpha,x), -yx, 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	732 %!assert(besseli(-alpha,x), ix, 100*eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	733 %!assert(besselk(-alpha,x), kx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	734 %!assert(besselh(-alpha,1,x), -(jx + Iyx), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	735 %!assert(besselh(-alpha,2,x), -(jx - Iyx), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	736 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	737 %!assert(besselj(-alpha,x,1), -jxexp(-abs(imag(x))), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	738 %!assert(bessely(-alpha,x,1), -yxexp(-abs(imag(x))), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	739 %!assert(besseli(-alpha,x,1), ixexp(-abs(real(x))), 100eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	740 %!assert(besselk(-alpha,x,1), kxexp(x), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	741 %!assert(besselh(-alpha,1,x,1), -(jx + Iyx)exp(-Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	742 %!assert(besselh(-alpha,2,x,1), -(jx - Iyx)exp(Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	743 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	744 %! x *= -1;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	745 %! jx = -jx;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	746 %! 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	747 %! ix = -ix;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	748 %! 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	749 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	750 %!assert(besselj(alpha,x), jx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	751 %!assert(bessely(alpha,x), yx, 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	752 %!assert(besseli(alpha,x), ix, 100*eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	753 %!assert(besselk(alpha,x), kx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	754 %!assert(besselh(alpha,1,x), jx + Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	755 %!assert(besselh(alpha,2,x), jx - Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	756 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	757 %!assert(besselj(alpha,x,1), jxexp(-abs(imag(x))), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	758 %!assert(bessely(alpha,x,1), yxexp(-abs(imag(x))), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	759 %!assert(besseli(alpha,x,1), ixexp(-abs(real(x))), 100eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	760 %!assert(besselk(alpha,x,1), kxexp(x), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	761 %!assert(besselh(alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	762 %!assert(besselh(alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	763 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	764 %! # Bessel functions, fractional order, positive and negative x
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	765 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	766 %! alpha = 3.5; x = 2.75;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	767 %! jx = 0.1691636439842384154644784389;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	768 %! yx = -0.8301381935499356070267953387;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	769 %! ix = 0.3930540878794826310979363668;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	770 %! kx = 0.2844099013460621170288192503;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	771 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	772 %!assert(besselj(alpha,x), jx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	773 %!assert(bessely(alpha,x), yx, 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	774 %!assert(besseli(alpha,x), ix, 100*eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	775 %!assert(besselk(alpha,x), kx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	776 %!assert(besselh(alpha,1,x), jx + Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	777 %!assert(besselh(alpha,2,x), jx - Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	778 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	779 %!assert(besselj(alpha,x,1), jxexp(-abs(imag(x))), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	780 %!assert(bessely(alpha,x,1), yxexp(-abs(imag(x))), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	781 %!assert(besseli(alpha,x,1), ixexp(-abs(real(x))), 100eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	782 %!assert(besselk(alpha,x,1), kxexp(x), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	783 %!assert(besselh(alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	784 %!assert(besselh(alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	785 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	786 %! nix = 0.2119931212254662995364461998;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	787 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	788 %!assert(besselj(-alpha,x), yx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	789 %!assert(bessely(-alpha,x), -jx, 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	790 %!assert(besseli(-alpha,x), nix, 100*eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	791 %!assert(besselk(-alpha,x), kx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	792 %!assert(besselh(-alpha,1,x), -I(jx + Iyx), 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	793 %!assert(besselh(-alpha,2,x), I(jx - Iyx), 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	794 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	795 %!assert(besselj(-alpha,x,1), yxexp(-abs(imag(x))), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	796 %!assert(bessely(-alpha,x,1), -jxexp(-abs(imag(x))), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	797 %!assert(besseli(-alpha,x,1), nixexp(-abs(real(x))), 100eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	798 %!assert(besselk(-alpha,x,1), kxexp(x), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	799 %!assert(besselh(-alpha,1,x,1), -I(jx + Iyx)exp(-Ix), 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	800 %!assert(besselh(-alpha,2,x,1), I(jx - Iyx)exp(Ix), 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	801 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	802 %! x *= -1;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	803 %! jx *= -I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	804 %! yx = -0.8301381935499356070267953387*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	805 %! ix *= -I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	806 %! kx = -0.9504059335995575096509874508*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	807 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	808 %!assert(besselj(alpha,x), jx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	809 %!assert(bessely(alpha,x), yx, 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	810 %!assert(besseli(alpha,x), ix, 100*eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	811 %!assert(besselk(alpha,x), kx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	812 %!assert(besselh(alpha,1,x), jx + Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	813 %!assert(besselh(alpha,2,x), jx - Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	814 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	815 %!assert(besselj(alpha,x,1), jxexp(-abs(imag(x))), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	816 %!assert(bessely(alpha,x,1), yxexp(-abs(imag(x))), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	817 %!assert(besseli(alpha,x,1), ixexp(-abs(real(x))), 100eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	818 %!assert(besselk(alpha,x,1), kxexp(x), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	819 %!assert(besselh(alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	820 %!assert(besselh(alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	821 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	822 %! # Bessel functions, even order, complex x
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	823 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	824 %! alpha = 2; x = 1.25 + 3.625 * I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	825 %! 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	826 %! 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	827 %! 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	828 %! 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	829 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	830 %!assert(besselj(alpha,x), jx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	831 %!assert(bessely(alpha,x), yx, 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	832 %!assert(besseli(alpha,x), ix, 100*eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	833 %!assert(besselk(alpha,x), kx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	834 %!assert(besselh(alpha,1,x), jx + Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	835 %!assert(besselh(alpha,2,x), jx - Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	836 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	837 %!assert(besselj(alpha,x,1), jxexp(-abs(imag(x))), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	838 %!assert(bessely(alpha,x,1), yxexp(-abs(imag(x))), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	839 %!assert(besseli(alpha,x,1), ixexp(-abs(real(x))), 100eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	840 %!assert(besselk(alpha,x,1), kxexp(x), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	841 %!assert(besselh(alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	842 %!assert(besselh(alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	843 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	844 %!assert(besselj(-alpha,x), jx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	845 %!assert(bessely(-alpha,x), yx, 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	846 %!assert(besseli(-alpha,x), ix, 100*eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	847 %!assert(besselk(-alpha,x), kx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	848 %!assert(besselh(-alpha,1,x), jx + Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	849 %!assert(besselh(-alpha,2,x), jx - Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	850 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	851 %!assert(besselj(-alpha,x,1), jxexp(-abs(imag(x))), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	852 %!assert(bessely(-alpha,x,1), yxexp(-abs(imag(x))), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	853 %!assert(besseli(-alpha,x,1), ixexp(-abs(real(x))), 100eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	854 %!assert(besselk(-alpha,x,1), kxexp(x), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	855 %!assert(besselh(-alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	856 %!assert(besselh(-alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	857 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	858 %! # Bessel functions, odd order, complex x
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	859 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	860 %! 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	861 %! 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	862 %! 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	863 %! 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	864 %! 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	865 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	866 %!assert(besselj(alpha,x), jx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	867 %!assert(bessely(alpha,x), yx, 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	868 %!assert(besseli(alpha,x), ix, 100*eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	869 %!assert(besselk(alpha,x), kx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	870 %!assert(besselh(alpha,1,x), jx + Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	871 %!assert(besselh(alpha,2,x), jx - Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	872 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	873 %!assert(besselj(alpha,x,1), jxexp(-abs(imag(x))), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	874 %!assert(bessely(alpha,x,1), yxexp(-abs(imag(x))), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	875 %!assert(besseli(alpha,x,1), ixexp(-abs(real(x))), 100eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	876 %!assert(besselk(alpha,x,1), kxexp(x), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	877 %!assert(besselh(alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	878 %!assert(besselh(alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	879 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	880 %!assert(besselj(-alpha,x), -jx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	881 %!assert(bessely(-alpha,x), -yx, 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	882 %!assert(besseli(-alpha,x), ix, 100*eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	883 %!assert(besselk(-alpha,x), kx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	884 %!assert(besselh(-alpha,1,x), -(jx + Iyx), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	885 %!assert(besselh(-alpha,2,x), -(jx - Iyx), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	886 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	887 %!assert(besselj(-alpha,x,1), -jxexp(-abs(imag(x))), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	888 %!assert(bessely(-alpha,x,1), -yxexp(-abs(imag(x))), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	889 %!assert(besseli(-alpha,x,1), ixexp(-abs(real(x))), 100eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	890 %!assert(besselk(-alpha,x,1), kxexp(x), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	891 %!assert(besselh(-alpha,1,x,1), -(jx + Iyx)exp(-Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	892 %!assert(besselh(-alpha,2,x,1), -(jx - Iyx)exp(Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	893 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	894 %! # Bessel functions, fractional order, complex x
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	895 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	896 %! alpha = 3.5; x = 1.75 + 4.125 * I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	897 %! 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	898 %! 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	899 %! 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	900 %! 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	901 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	902 %!assert(besselj(alpha,x), jx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	903 %!assert(bessely(alpha,x), yx, 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	904 %!assert(besseli(alpha,x), ix, 100*eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	905 %!assert(besselk(alpha,x), kx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	906 %!assert(besselh(alpha,1,x), jx + Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	907 %!assert(besselh(alpha,2,x), jx - Iyx, 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	908 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	909 %!assert(besselj(alpha,x,1), jxexp(-abs(imag(x))), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	910 %!assert(bessely(alpha,x,1), yxexp(-abs(imag(x))), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	911 %!assert(besseli(alpha,x,1), ixexp(-abs(real(x))), 100eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	912 %!assert(besselk(alpha,x,1), kxexp(x), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	913 %!assert(besselh(alpha,1,x,1), (jx + Iyx)exp(-Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	914 %!assert(besselh(alpha,2,x,1), (jx - Iyx)exp(Ix), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	915 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	916 %! nix = 0.09822388691172060573913739253 - 0.7110230642207380127317227407*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	917 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	918 %!assert(besselj(-alpha,x), yx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	919 %!assert(bessely(-alpha,x), -jx, 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	920 %!assert(besseli(-alpha,x), nix, 100*eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	921 %!assert(besselk(-alpha,x), kx, 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	922 %!assert(besselh(-alpha,1,x), -I(jx + Iyx), 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	923 %!assert(besselh(-alpha,2,x), I(jx - Iyx), 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	924 %!
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	925 %!assert(besselj(-alpha,x,1), yxexp(-abs(imag(x))), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	926 %!assert(bessely(-alpha,x,1), -jxexp(-abs(imag(x))), 100eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	927 %!assert(besseli(-alpha,x,1), nixexp(-abs(real(x))), 100eps)
11586 12df7854fa7c strip trailing whitespace from source files John W. Eaton <jwe@octave.org> parents: 11553 diff changeset	928 %!assert(besselk(-alpha,x,1), kxexp(x), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	929 %!assert(besselh(-alpha,1,x,1), -I(jx + Iyx)exp(-Ix), 100*eps)
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	930 %!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	931
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	932
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	933 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	934 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	935 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	936 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	937
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	938 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	939 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	940 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	941 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	942 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	943 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	944 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	945 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	946
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	947 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	948 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	949 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	950 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	951 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	952 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	953 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	954 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	955
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	956 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	957 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	958 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	959 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	960
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 % 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	962 % 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	963 %!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	964 %! 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	965 %! 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	966 %!
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	967 %! 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	968 %! [-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	969 %! [-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	970 %! [ 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	971 %! [-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	972 %! [ 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	973 %! [-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	974 %! [-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	975 %!
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	976 %! Yt = [[-Inf, -Inf, -Inf ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	977 %! [ 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	978 %! [-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	979 %! [ 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	980 %! [ 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	981 %! [-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	982 %! [ 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	983 %! [-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	984 %!
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	985 %! J = besselj(n,z);
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 %! Y = bessely(n,z);
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 %! assert(Jt(:,1), J(:,1), 0.5e-10);
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 %! assert(Yt(:,1), Y(:,1), 0.5e-10);
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 %! assert(Jt(:,2:3), J(:,2:3), 0.5e-10);
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	990
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	991 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	992
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	993 %!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	994 %! 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	995 %! 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	996 %!
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	997 %! Jt = [[ 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	998 %! [ 1.2894e-01, 3.3996e-02, 7.0396e-03, 1.2024e-03, 1.7494e-04, 2.2180e-05, 2.4923e-06];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	999 %! [ 4.3017e-01, 2.8113e-01, 1.3209e-01, 4.9088e-02, 1.5176e-02, 4.0287e-03, 9.3860e-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	1000 %! [ 1.1477e-01, 3.5764e-01, 3.6209e-01, 2.4584e-01, 1.2959e-01, 5.6532e-02, 2.1165e-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	1001 %! [-2.9113e-01,-1.0536e-01, 1.8577e-01, 3.3758e-01, 3.2059e-01, 2.2345e-01, 1.2632e-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	1002 %! [ 5.8379e-02,-2.1960e-01,-2.3406e-01,-1.4459e-02, 2.1671e-01, 3.1785e-01, 2.9186e-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	1003 %! [ 1.9514e-01, 1.8250e-01,-7.3471e-02,-2.4372e-01,-1.7025e-01, 4.5095e-02, 2.3038e-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	1004 %! [-1.7681e-01, 7.6244e-02, 2.2038e-01, 8.1168e-02,-1.5080e-01,-2.3197e-01,-1.1431e-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	1005 %! [-4.3847e-02,-2.0264e-01,-5.7473e-02, 1.6672e-01, 1.8251e-01,-7.0211e-03,-1.8953e-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	1006 %! [ 1.8632e-01, 6.9640e-02,-1.5537e-01,-1.5596e-01, 5.1399e-02, 1.9593e-01, 1.2276e-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	1007 %! [-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	1008 %!
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	1009 %! Yt = [[ -Inf, -Inf, -Inf, -Inf, -Inf, -Inf, -Inf];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1010 %! [-1.1278e+00,-2.7659e+00,-9.9360e+00,-4.6914e+01,-2.7155e+02,-1.8539e+03,-1.4560e+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	1011 %! [-1.8202e-01,-4.8894e-01,-7.9585e-01,-1.5007e+00,-3.7062e+00,-1.1471e+01,-4.2178e+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	1012 %! [ 3.2825e-01, 9.8391e-02,-1.9706e-01,-4.2683e-01,-6.5659e-01,-1.1052e+00,-2.2907e+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	1013 %! [ 2.6542e-02, 2.8294e-01, 2.5640e-01, 3.7558e-02,-2.0006e-01,-3.8767e-01,-5.7528e-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	1014 %! [-2.5136e-01,-1.4495e-01, 1.3540e-01, 2.8035e-01, 2.0102e-01, 1.0755e-03,-1.9930e-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	1015 %! [ 1.2901e-01,-1.5122e-01,-2.2982e-01,-4.0297e-02, 1.8952e-01, 2.6140e-01, 1.5902e-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	1016 %! [ 1.2350e-01, 2.0393e-01,-6.9717e-03,-2.0891e-01,-1.7209e-01, 3.6816e-02, 2.1417e-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	1017 %! [-1.9637e-01,-7.3222e-05, 1.9633e-01, 1.2278e-01,-1.0425e-01,-2.1399e-01,-1.0975e-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	1018 %! [ 3.3724e-02,-1.7722e-01,-1.1249e-01, 1.1472e-01, 1.8897e-01, 3.2253e-02,-1.6030e-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	1019 %! [ 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	1020 %!
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	1021 %! 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	1022 %! z = (0:2:20).';
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1023 %! J=besselj(n,z);
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1024 %! Y=bessely(n,z);
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1025 %!
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1026 %! assert(J(1,:), zeros (1, columns (J)));
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1027 %! assert(J(2:end,:), Jt(2:end,:), -5e-5);
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1028 %! assert(Yt(1,:), Y(1,:));
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1029 %! 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	1030
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1031 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	1032
14450 ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1033 %!test
ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1034 %! 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	1035 %! [ 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	1036 %! [ 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	1037 %! [ 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	1038 %! [ 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	1039 %! [ 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	1040 %! [ 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	1041 %! [ 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	1042 %! [ 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	1043 %!
14450 ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1044 %! 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	1045 %! [-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	1046 %! [-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	1047 %! [-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	1048 %! [-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	1049 %! [-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	1050 %! [-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	1051 %! [-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	1052 %! [-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	1053 %!
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 %! 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	1055 %! z = [1,2,5,10,50,100];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1056 %! J = besselj(n.',z.').';
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1057 %! Y = bessely(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	1058 %! assert(J, Jt, -1e-9);
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1059 %! 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	1060
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1061 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	1062
14450 ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1063 %!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	1064 %! 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	1065 %! 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	1066 %! z2 = [7.5;10.0;15.0;20.0];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1067 %! rtbl = [ [ 0.9071009258 0.0452984468 0.1251041992 2.6823261023 10.890182683 1.995039646 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1068 %! [ 0.2700464416 0.2065846495 0.2042345837 0.7595486903 0.9001744239 0.759126289 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1069 %! [ 0.1835408126 0.1639722669 0.7002245988 0.5478075643 0.6002738588 0.132723593 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1070 %! [ 0.1483158301 0.1380412115 0.111504840 0.4505236991 0.4796689336 0.57843541 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1071 %! [ 0.1278333372 0.1212626814 0.103580801 0.3916319344 0.4107665704 0.47378525 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1072 %! [ 0.1038995314 0.1003741751 0.090516308 0.3210023535 0.3315348950 0.36520701 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1073 %! [ 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	1074 %!
14450 ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1075 %! tbl = [besseli(n,z1,1), besselk(n,z1,1)];
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	1076 %! tbl(:,3) = tbl(:,3).(exp(z1).z1.^(-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	1077 %! tbl(:,6) = tbl(:,6).(exp(-z1).z1.^(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	1078 %! 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	1079 %!
14450 ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1080 %! 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	1081
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1082 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	1083
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 %!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	1085 %! 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	1086 %! [ 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	1087 %! [ 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	1088 %! [ 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	1089 %! [ 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	1090 %! [ 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	1091 %! [ 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	1092 %! [ 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	1093 %! [ 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	1094 %! [ 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	1095 %! [ 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	1096 %!
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	1097 %! Kt = [
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1098 %! [ Inf Inf Inf Inf Inf Inf Inf];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1099 %! [ 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	1100 %! [ 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	1101 %! [ 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	1102 %! [ 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	1103 %! [ 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	1104 %! [ 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	1105 %! [ 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	1106 %! [ 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	1107 %! [ 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	1108 %! [ 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	1109 %!
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	1110 %! 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	1111 %! z = (0:2:20).';
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 %! I=besseli(n,z,1);
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 %! 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	1114 %!
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1115 %! assert(abs (I(1,:)), zeros(1, columns(I)));
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1116 %! assert(I(2:end,:), It(2:end,:), -5e-5);
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1117 %! assert(Kt(1,:), K(1,:));
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1118 %! 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	1119
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1120 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	1121
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 %!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	1123 %! 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	1124 %! [ 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	1125 %! [ 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	1126 %! [ 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	1127 %! [ 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	1128 %! [ 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	1129 %! [ 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	1130 %! [ 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	1131 %! [ 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	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 %! 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	1134 %! [ 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	1135 %! [ 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	1136 %! [ 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	1137 %! [ 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	1138 %! [ 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	1139 %! [ 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	1140 %! [ 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	1141 %! [ 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	1142 %!
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	1143 %! 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	1144 %! z = [1,2,5,10,50,100];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1145 %! I = besseli(n.',z.').';
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 %! K = besselk(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	1147 %! assert(I, It, -5e-9);
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1148 %! 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	1149
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1150 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	1151 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	1152
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 %!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	1154 %! n=(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	1155 %! assert(besselj(n,1), besselj(-n,1), 1e-8);
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1156 %! 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	1157
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1158 besseli(n,z) = besseli(-n,z);
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1159
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	1160 %!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	1161 %! n=(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	1162 %! 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	1163
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1164 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	1165 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	1166
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	1167 %!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	1168 %! 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	1169 %! 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	1170 %!
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	1171 %! 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	1172 %! [ 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	1173 %! [-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	1174 %! [ 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	1175 %! [ -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	1176 %!
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	1177 %! 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	1178 %! [ 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	1179 %! [-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	1180 %! [ -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	1181 %! [ 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	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 %! j = sqrt((pi/2)./z).*besselj(n+1/2,z);
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1184 %! 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	1185 %! assert(jt, j, -5e-5);
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1186 %! assert(yt, y, -5e-5);
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1187
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1188 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	1189 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	1190
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1191 Important note: In A&S, y_4(0.1) = -1.0507e+7, but Octave returns
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1192 y_4(0.1) = -1.0508e+07 (-10507503.75). If I compute the same term using
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1193 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	1194 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	1195
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	1196 %!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	1197 %! n = (3:8);
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 %! 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	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 %! 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	1201 %! [ 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	1202 %! [ 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	1203 %! [-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	1204 %! [-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	1205 %!
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	1206 %! 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	1207 %! [-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	1208 %! [-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	1209 %! [ 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	1210 %! [-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	1211 %!
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	1212 %! j = sqrt((pi/2)./z).*besselj(n+1/2,z);
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 %! 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	1214 %!
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1215 %! assert(jt, j, -5e-5);
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1216 %! 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	1217
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1218 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	1219
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	1220 %!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	1221 %! 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	1222 %! [ 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	1223 %! [ 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	1224 %! [ 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	1225 %! [ 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	1226 %! [ 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	1227 %! [ 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	1228 %! [ 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	1229 %! [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	1230 %!
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	1231 %! 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	1232 %! [ -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	1233 %! [ -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	1234 %! [ -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	1235 %! [ -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	1236 %! [ -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	1237 %! [ -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	1238 %! [ -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	1239 %! [-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	1240 %!
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1241 %! 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	1242 %! z = [1,2,5,10,50,100];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1243 %! j = sqrt((pi/2)./z).*besselj((n+1/2).',z.').';
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 %! 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	1245 %! assert(j, jt, -1e-9);
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1246 %! 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	1247
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
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
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	1250 */

Mercurial > octave-nkf

annotate src/DLD-FUNCTIONS/besselj.cc @ 14450:ab4676288414