octave: libinterp/corefcn/besselj.cc annotate

annotate libinterp/corefcn/besselj.cc @ 30944:4727765dbc89

maint: Use Octave conventions for coding BIST tests in cset 84944164799e. * besselj.cc (Fairy): Use ';' at end of assert statements within a %!test block. Don't use parentheses around %!error block.

author	Rik <rik@octave.org>
date	Mon, 18 Apr 2022 13:02:35 -0700
parents	272614f05636
children	e0aabe59c1aa

rev	line source
27923 bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	1 ////////////////////////////////////////////////////////////////////////
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	2 //
30564 796f54d4ddbf update Octave Project Developers copyright for the new year John W. Eaton <jwe@octave.org> parents: 29961 diff changeset	3 // Copyright (C) 1997-2022 The Octave Project Developers
27923 bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	4 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	5 // See the file COPYRIGHT.md in the top-level directory of this
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	6 // distribution or <https://octave.org/copyright/>.
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	7 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	8 // This file is part of Octave.
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	9 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	10 // Octave is free software: you can redistribute it and/or modify it
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	11 // under the terms of the GNU General Public License as published by
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	12 // the Free Software Foundation, either version 3 of the License, or
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	13 // (at your option) any later version.
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	14 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	15 // Octave is distributed in the hope that it will be useful, but
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	16 // WITHOUT ANY WARRANTY; without even the implied warranty of
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	18 // GNU General Public License for more details.
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	19 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	20 // You should have received a copy of the GNU General Public License
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	21 // along with Octave; see the file COPYING. If not, see
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	22 // <https://www.gnu.org/licenses/>.
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	23 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	24 ////////////////////////////////////////////////////////////////////////
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	25
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21547 diff changeset	26 #if defined (HAVE_CONFIG_H)
21301 40de9f8f23a6 Use '#include "config.h"' rather than <config.h>. Rik <rik@octave.org> parents: 21200 diff changeset	27 # include "config.h"
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	28 #endif
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 "lo-specfun.h"
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 3810 diff changeset	31 #include "quit.h"
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	32
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	33 #include "defun.h"
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	34 #include "error.h"
20940 48b2ad5ee801 maint: Rename oct-obj.[cc\|h] to ovl.[cc\|h] for clarity. Rik <rik@octave.org> parents: 20892 diff changeset	35 #include "ovl.h"
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	36 #include "utils.h"
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	37
29958 32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 29359 diff changeset	38 OCTAVE_NAMESPACE_BEGIN
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 29359 diff changeset	39
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	40 enum bessel_type
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	41 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	42 BESSEL_J,
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	43 BESSEL_Y,
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	44 BESSEL_I,
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	45 BESSEL_K,
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	46 BESSEL_H1,
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	47 BESSEL_H2
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	48 };
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	49
22197 e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	50 #define DO_BESSEL(type, alpha, x, scaled, ierr, result) \
e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	51 do \
e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	52 { \
e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	53 switch (type) \
e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	54 { \
e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	55 case BESSEL_J: \
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	56 result = math::besselj (alpha, x, scaled, ierr); \
22197 e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	57 break; \
e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	58 \
e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	59 case BESSEL_Y: \
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	60 result = math::bessely (alpha, x, scaled, ierr); \
22197 e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	61 break; \
e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	62 \
e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	63 case BESSEL_I: \
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	64 result = math::besseli (alpha, x, scaled, ierr); \
22197 e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	65 break; \
e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	66 \
e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	67 case BESSEL_K: \
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	68 result = math::besselk (alpha, x, scaled, ierr); \
22197 e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	69 break; \
e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	70 \
e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	71 case BESSEL_H1: \
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	72 result = math::besselh1 (alpha, x, scaled, ierr); \
22197 e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	73 break; \
e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	74 \
e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	75 case BESSEL_H2: \
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	76 result = math::besselh2 (alpha, x, scaled, ierr); \
22197 e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	77 break; \
e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	78 \
e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	79 default: \
e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	80 break; \
e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	81 } \
e43d83253e28 refill multi-line macro definitions John W. Eaton <jwe@octave.org> parents: 22022 diff changeset	82 } \
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	83 while (0)
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	84
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	85 octave_value_list
30896 c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/. Rik <rik@octave.org> parents: 30564 diff changeset	86 do_bessel (enum bessel_type type, const char *fcn,
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	87 const octave_value_list& args, int nargout)
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	88 {
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	89 int nargin = args.length ();
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	90
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	91 if (nargin < 2 \|\| nargin > 3)
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	92 print_usage ();
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	93
20892 c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20872 diff changeset	94 octave_value_list retval (nargout > 1 ? 2 : 1);
c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20872 diff changeset	95
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	96 bool scaled = false;
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	97 if (nargin == 3)
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	98 {
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	99 octave_value opt_arg = args(2);
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	100 bool rpt_error = false;
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	101
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	102 if (! opt_arg.is_scalar_type ())
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	103 rpt_error = true;
23586 f6c5db0a02e7 maint: Deprecate is_numeric_type and replace with isnumeric. Rik <rik@octave.org> parents: 23579 diff changeset	104 else if (opt_arg.isnumeric ())
20089 93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19697 diff changeset	105 {
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	106 double opt_val = opt_arg.double_value ();
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	107 if (opt_val != 0.0 && opt_val != 1.0)
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	108 rpt_error = true;
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	109 scaled = (opt_val == 1.0);
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	110 }
23579 c20a0fa91c0c maint: Deprecate is_bool_type and replace with islogical. Rik <rik@octave.org> parents: 23220 diff changeset	111 else if (opt_arg.islogical ())
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	112 scaled = opt_arg.bool_value ();
20089 93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19697 diff changeset	113
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	114 if (rpt_error)
30896 c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/. Rik <rik@octave.org> parents: 30564 diff changeset	115 error ("%s: OPT must be 0 (or false) or 1 (or true)", fcn);
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	116 }
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	117
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	118 octave_value alpha_arg = args(0);
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	119 octave_value x_arg = args(1);
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	120
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	121 if (alpha_arg.is_single_type () \|\| x_arg.is_single_type ())
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	122 {
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	123 if (alpha_arg.is_scalar_type ())
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	124 {
30896 c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/. Rik <rik@octave.org> parents: 30564 diff changeset	125 float alpha = args(0).xfloat_value ("%s: ALPHA must be a scalar or matrix", fcn);
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	126
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	127 if (x_arg.is_scalar_type ())
20089 93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19697 diff changeset	128 {
30896 c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/. Rik <rik@octave.org> parents: 30564 diff changeset	129 FloatComplex x = x_arg.xfloat_complex_value ("%s: X must be a scalar or matrix", fcn);
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	130
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	131 octave_idx_type ierr;
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	132 octave_value result;
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	133
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	134 DO_BESSEL (type, alpha, x, scaled, ierr, result);
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	135
20892 c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20872 diff changeset	136 retval(0) = result;
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	137 if (nargout > 1)
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	138 retval(1) = static_cast<float> (ierr);
20089 93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19697 diff changeset	139 }
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	140 else
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	141 {
30896 c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/. Rik <rik@octave.org> parents: 30564 diff changeset	142 FloatComplexNDArray x = x_arg.xfloat_complex_array_value ("%s: X must be a scalar or matrix", fcn);
20089 93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19697 diff changeset	143
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	144 Array<octave_idx_type> ierr;
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	145 octave_value result;
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	146
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	147 DO_BESSEL (type, alpha, x, scaled, ierr, result);
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	148
20892 c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20872 diff changeset	149 retval(0) = result;
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	150 if (nargout > 1)
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	151 retval(1) = NDArray (ierr);
20089 93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19697 diff changeset	152 }
93b3757a9623 Use stricter input validation for OPT arg of bessel functions (bug #44867). Rik <rik@octave.org> parents: 19697 diff changeset	153 }
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	154 else
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	155 {
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	156 dim_vector dv0 = args(0).dims ();
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	157 dim_vector dv1 = args(1).dims ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	158
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	159 bool args0_is_row_vector = (dv0(1) == dv0.numel ());
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	160 bool args1_is_col_vector = (dv1(0) == dv1.numel ());
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	161
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	162 if (args0_is_row_vector && args1_is_col_vector)
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	163 {
30896 c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/. Rik <rik@octave.org> parents: 30564 diff changeset	164 FloatRowVector ralpha = args(0).xfloat_row_vector_value ("%s: ALPHA must be a scalar or matrix", fcn);
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	165
27277 db687716fed6 style fixes: generally aim to break long lines before operators, not after John W. Eaton <jwe@octave.org> parents: 26376 diff changeset	166 FloatComplexColumnVector cx
30896 c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/. Rik <rik@octave.org> parents: 30564 diff changeset	167 = x_arg.xfloat_complex_column_vector_value ("%s: X must be a scalar or matrix", fcn);
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	168
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	169 Array<octave_idx_type> ierr;
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	170 octave_value result;
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	171
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	172 DO_BESSEL (type, ralpha, cx, scaled, ierr, result);
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	173
20892 c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20872 diff changeset	174 retval(0) = result;
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	175 if (nargout > 1)
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	176 retval(1) = NDArray (ierr);
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	177 }
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	178 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	179 {
30896 c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/. Rik <rik@octave.org> parents: 30564 diff changeset	180 FloatNDArray alpha = args(0).xfloat_array_value ("%s: ALPHA must be a scalar or matrix", fcn);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	181
20703 85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	182 if (x_arg.is_scalar_type ())
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	183 {
30896 c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/. Rik <rik@octave.org> parents: 30564 diff changeset	184 FloatComplex x = x_arg.xfloat_complex_value ("%s: X must be a scalar or matrix", fcn);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	185
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	186 Array<octave_idx_type> ierr;
20703 85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	187 octave_value result;
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	188
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	189 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	190
20892 c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20872 diff changeset	191 retval(0) = result;
20703 85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	192 if (nargout > 1)
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	193 retval(1) = NDArray (ierr);
10154 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 else
20703 85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	196 {
30896 c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/. Rik <rik@octave.org> parents: 30564 diff changeset	197 FloatComplexNDArray x = x_arg.xfloat_complex_array_value ("%s: X must be a scalar or matrix", fcn);
20703 85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	198
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	199 Array<octave_idx_type> ierr;
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	200 octave_value result;
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	201
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	202 DO_BESSEL (type, alpha, x, scaled, ierr, result);
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	203
20892 c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20872 diff changeset	204 retval(0) = result;
20703 85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	205 if (nargout > 1)
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	206 retval(1) = NDArray (ierr);
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	207 }
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	208 }
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	209 }
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	210 }
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	211 else
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	212 {
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	213 if (alpha_arg.is_scalar_type ())
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	214 {
30896 c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/. Rik <rik@octave.org> parents: 30564 diff changeset	215 double alpha = args(0).xdouble_value ("%s: ALPHA must be a scalar or matrix", fcn);
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	216
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	217 if (x_arg.is_scalar_type ())
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	218 {
30896 c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/. Rik <rik@octave.org> parents: 30564 diff changeset	219 Complex x = x_arg.xcomplex_value ("%s: X must be a scalar or matrix", fcn);
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	220
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	221 octave_idx_type ierr;
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	222 octave_value result;
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	223
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	224 DO_BESSEL (type, alpha, x, scaled, ierr, result);
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	225
20892 c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20872 diff changeset	226 retval(0) = result;
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	227 if (nargout > 1)
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	228 retval(1) = static_cast<double> (ierr);
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	229 }
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	230 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	231 {
30896 c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/. Rik <rik@octave.org> parents: 30564 diff changeset	232 ComplexNDArray x = x_arg.xcomplex_array_value ("%s: X must be a scalar or matrix", fcn);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	233
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	234 Array<octave_idx_type> ierr;
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	235 octave_value result;
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	236
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	237 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	238
20892 c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20872 diff changeset	239 retval(0) = result;
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	240 if (nargout > 1)
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	241 retval(1) = NDArray (ierr);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	242 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	243 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	244 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	245 {
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	246 dim_vector dv0 = args(0).dims ();
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	247 dim_vector dv1 = args(1).dims ();
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	248
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	249 bool args0_is_row_vector = (dv0(1) == dv0.numel ());
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	250 bool args1_is_col_vector = (dv1(0) == dv1.numel ());
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	251
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	252 if (args0_is_row_vector && args1_is_col_vector)
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	253 {
30896 c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/. Rik <rik@octave.org> parents: 30564 diff changeset	254 RowVector ralpha = args(0).xrow_vector_value ("%s: ALPHA must be a scalar or matrix", fcn);
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	255
27277 db687716fed6 style fixes: generally aim to break long lines before operators, not after John W. Eaton <jwe@octave.org> parents: 26376 diff changeset	256 ComplexColumnVector cx
30896 c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/. Rik <rik@octave.org> parents: 30564 diff changeset	257 = x_arg.xcomplex_column_vector_value ("%s: X must be a scalar or matrix", fcn);
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	258
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	259 Array<octave_idx_type> ierr;
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	260 octave_value result;
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	261
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	262 DO_BESSEL (type, ralpha, cx, scaled, ierr, result);
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	263
20892 c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20872 diff changeset	264 retval(0) = result;
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	265 if (nargout > 1)
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	266 retval(1) = NDArray (ierr);
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	267 }
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	268 else
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	269 {
30896 c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/. Rik <rik@octave.org> parents: 30564 diff changeset	270 NDArray alpha = args(0).xarray_value ("%s: ALPHA must be a scalar or matrix", fcn);
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	271
20703 85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	272 if (x_arg.is_scalar_type ())
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	273 {
30896 c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/. Rik <rik@octave.org> parents: 30564 diff changeset	274 Complex x = x_arg.xcomplex_value ("%s: X must be a scalar or matrix", fcn);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	275
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	276 Array<octave_idx_type> ierr;
20703 85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	277 octave_value result;
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	278
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	279 DO_BESSEL (type, alpha, x, scaled, ierr, result);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7031 diff changeset	280
20892 c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20872 diff changeset	281 retval(0) = result;
20703 85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	282 if (nargout > 1)
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	283 retval(1) = NDArray (ierr);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	284 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	285 else
20703 85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	286 {
30896 c9788d7f6e65 maint: Use "fcn" as preferred abbreviation for "function" in libinterp/. Rik <rik@octave.org> parents: 30564 diff changeset	287 ComplexNDArray x = x_arg.xcomplex_array_value ("%s: X must be a scalar or matrix", fcn);
20703 85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	288
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	289 Array<octave_idx_type> ierr;
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	290 octave_value result;
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	291
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	292 DO_BESSEL (type, alpha, x, scaled, ierr, result);
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	293
20892 c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20872 diff changeset	294 retval(0) = result;
20703 85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	295 if (nargout > 1)
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	296 retval(1) = NDArray (ierr);
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	297 }
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	298 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9732 diff changeset	299 }
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	300 }
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	301
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	302 return retval;
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	303 }
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	304
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	305 DEFUN (besselj, args, nargout,
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	306 doc: /* -- texinfo --
24594 a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	307 @deftypefn {} {@var{J} =} besselj (@var{alpha}, @var{x})
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	308 @deftypefnx {} {@var{J} =} besselj (@var{alpha}, @var{x}, @var{opt})
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	309 @deftypefnx {} {[@var{J}, @var{ierr}] =} besselj (@dots{})
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	310 Compute Bessel functions of the first kind.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	311
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	312 The order of the Bessel function @var{alpha} must be real. The points for
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	313 evaluation @var{x} may be complex.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	314
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	315 If the optional argument @var{opt} is 1 or true, the result @var{J} is
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	316 multiplied by @w{@code{exp (-abs (imag (@var{x})))}}.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	317
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	318 If @var{alpha} is a scalar, the result is the same size as @var{x}. If @var{x}
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	319 is a scalar, the result is the same size as @var{alpha}. If @var{alpha} is a
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	320 row vector and @var{x} is a column vector, the result is a matrix with
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	321 @code{length (@var{x})} rows and @code{length (@var{alpha})} columns.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	322 Otherwise, @var{alpha} and @var{x} must conform and the result will be the same
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	323 size.
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	324
24594 a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	325 If requested, @var{ierr} contains the following status information and is the
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	326 same size as the result.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	327
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	328 @enumerate 0
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	329 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	330 Normal return.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	331
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	332 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	333 Input error, return @code{NaN}.
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	334
24594 a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	335 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	336 Overflow, return @code{Inf}.
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	337
24594 a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	338 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	339 Loss of significance by argument reduction results in less than half of machine
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	340 accuracy.
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	341
24594 a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	342 @item
24906 451f4f291f46 Modified Bessel functions to compute the output with any input Michele Ginesi <michele.ginesi@gmail.com> parents: 24594 diff changeset	343 Loss of significance by argument reduction, output may be inaccurate.
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	344
24594 a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	345 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	346 Error---no computation, algorithm termination condition not met, return
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	347 @code{NaN}.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	348 @end enumerate
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	349
24594 a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	350 @seealso{bessely, besseli, besselk, besselh}
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	351 @end deftypefn */)
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	352 {
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	353 return do_bessel (BESSEL_J, "besselj", args, nargout);
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	354 }
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	355
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	356 /*
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	357 %!# Function besselj is tested along with other bessels at the end of this file
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	358 */
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	359
24594 a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	360 DEFUN (bessely, args, nargout,
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	361 doc: /* -- texinfo --
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	362 @deftypefn {} {@var{Y} =} bessely (@var{alpha}, @var{x})
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	363 @deftypefnx {} {@var{Y} =} bessely (@var{alpha}, @var{x}, @var{opt})
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	364 @deftypefnx {} {[@var{Y}, @var{ierr}] =} bessely (@dots{})
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	365 Compute Bessel functions of the second kind.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	366
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	367 The order of the Bessel function @var{alpha} must be real. The points for
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	368 evaluation @var{x} may be complex.
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	369
24594 a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	370 If the optional argument @var{opt} is 1 or true, the result @var{Y} is
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	371 multiplied by @w{@code{exp (-abs (imag (@var{x})))}}.
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	372
24594 a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	373 If @var{alpha} is a scalar, the result is the same size as @var{x}. If @var{x}
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	374 is a scalar, the result is the same size as @var{alpha}. If @var{alpha} is a
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	375 row vector and @var{x} is a column vector, the result is a matrix with
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	376 @code{length (@var{x})} rows and @code{length (@var{alpha})} columns.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	377 Otherwise, @var{alpha} and @var{x} must conform and the result will be the same
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	378 size.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	379
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	380 If requested, @var{ierr} contains the following status information and is the
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	381 same size as the result.
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	382
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	383 @enumerate 0
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	384 @item
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	385 Normal return.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	386
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	387 @item
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	388 Input error, return @code{NaN}.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	389
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	390 @item
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	391 Overflow, return @code{Inf}.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	392
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	393 @item
24594 a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	394 Loss of significance by argument reduction results in less than half of machine
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	395 accuracy.
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	396
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	397 @item
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	398 Complete loss of significance by argument reduction, return @code{NaN}.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	399
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	400 @item
24594 a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	401 Error---no computation, algorithm termination condition not met, return
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	402 @code{NaN}.
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	403 @end enumerate
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	404
24594 a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	405 @seealso{besselj, besseli, besselk, besselh}
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	406 @end deftypefn */)
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	407 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	408 return do_bessel (BESSEL_Y, "bessely", args, nargout);
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	409 }
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	410
20872 ead410040418 2015 Code Sprint: mark bessel functions as tested Mike Miller <mtmiller@octave.org> parents: 20853 diff changeset	411 /*
ead410040418 2015 Code Sprint: mark bessel functions as tested Mike Miller <mtmiller@octave.org> parents: 20853 diff changeset	412 %!# Function bessely is tested along with other bessels at the end of this file
ead410040418 2015 Code Sprint: mark bessel functions as tested Mike Miller <mtmiller@octave.org> parents: 20853 diff changeset	413 */
ead410040418 2015 Code Sprint: mark bessel functions as tested Mike Miller <mtmiller@octave.org> parents: 20853 diff changeset	414
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	415 DEFUN (besseli, args, nargout,
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	416 doc: /* -- texinfo --
24594 a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	417 @deftypefn {} {@var{I} =} besseli (@var{alpha}, @var{x})
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	418 @deftypefnx {} {@var{I} =} besseli (@var{alpha}, @var{x}, @var{opt})
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	419 @deftypefnx {} {[@var{I}, @var{ierr}] =} besseli (@dots{})
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	420 Compute modified Bessel functions of the first kind.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	421
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	422 The order of the Bessel function @var{alpha} must be real. The points for
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	423 evaluation @var{x} may be complex.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	424
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	425 If the optional argument @var{opt} is 1 or true, the result @var{I} is
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	426 multiplied by @w{@code{exp (-abs (real (@var{x})))}}.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	427
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	428 If @var{alpha} is a scalar, the result is the same size as @var{x}. If @var{x}
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	429 is a scalar, the result is the same size as @var{alpha}. If @var{alpha} is a
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	430 row vector and @var{x} is a column vector, the result is a matrix with
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	431 @code{length (@var{x})} rows and @code{length (@var{alpha})} columns.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	432 Otherwise, @var{alpha} and @var{x} must conform and the result will be the same
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	433 size.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	434
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	435 If requested, @var{ierr} contains the following status information and is the
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	436 same size as the result.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	437
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	438 @enumerate 0
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	439 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	440 Normal return.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	441
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	442 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	443 Input error, return @code{NaN}.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	444
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	445 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	446 Overflow, return @code{Inf}.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	447
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	448 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	449 Loss of significance by argument reduction results in less than half of machine
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	450 accuracy.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	451
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	452 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	453 Complete loss of significance by argument reduction, return @code{NaN}.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	454
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	455 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	456 Error---no computation, algorithm termination condition not met, return
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	457 @code{NaN}.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	458 @end enumerate
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	459
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	460 @seealso{besselk, besselj, bessely, besselh}
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	461 @end deftypefn */)
24594 a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	462
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	463 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	464 return do_bessel (BESSEL_I, "besseli", args, nargout);
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	465 }
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	466
20872 ead410040418 2015 Code Sprint: mark bessel functions as tested Mike Miller <mtmiller@octave.org> parents: 20853 diff changeset	467 /*
ead410040418 2015 Code Sprint: mark bessel functions as tested Mike Miller <mtmiller@octave.org> parents: 20853 diff changeset	468 %!# Function besseli is tested along with other bessels at the end of this file
ead410040418 2015 Code Sprint: mark bessel functions as tested Mike Miller <mtmiller@octave.org> parents: 20853 diff changeset	469 */
ead410040418 2015 Code Sprint: mark bessel functions as tested Mike Miller <mtmiller@octave.org> parents: 20853 diff changeset	470
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	471 DEFUN (besselk, args, nargout,
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	472 doc: /* -- texinfo --
24594 a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	473 @deftypefn {} {@var{K} =} besselk (@var{alpha}, @var{x})
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	474 @deftypefnx {} {@var{K} =} besselk (@var{alpha}, @var{x}, @var{opt})
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	475 @deftypefnx {} {[@var{K}, @var{ierr}] =} besselk (@dots{})
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	476
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	477 Compute modified Bessel functions of the second kind.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	478
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	479 The order of the Bessel function @var{alpha} must be real. The points for
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	480 evaluation @var{x} may be complex.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	481
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	482 If the optional argument @var{opt} is 1 or true, the result @var{K} is
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	483 multiplied by @w{@code{exp (@var{x})}}.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	484
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	485 If @var{alpha} is a scalar, the result is the same size as @var{x}. If @var{x}
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	486 is a scalar, the result is the same size as @var{alpha}. If @var{alpha} is a
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	487 row vector and @var{x} is a column vector, the result is a matrix with
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	488 @code{length (@var{x})} rows and @code{length (@var{alpha})} columns.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	489 Otherwise, @var{alpha} and @var{x} must conform and the result will be the same
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	490 size.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	491
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	492 If requested, @var{ierr} contains the following status information and is the
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	493 same size as the result.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	494
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	495 @enumerate 0
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	496 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	497 Normal return.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	498
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	499 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	500 Input error, return @code{NaN}.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	501
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	502 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	503 Overflow, return @code{Inf}.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	504
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	505 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	506 Loss of significance by argument reduction results in less than half of machine
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	507 accuracy.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	508
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	509 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	510 Complete loss of significance by argument reduction, return @code{NaN}.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	511
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	512 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	513 Error---no computation, algorithm termination condition not met, return
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	514 @code{NaN}.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	515 @end enumerate
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	516
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	517 @seealso{besseli, besselj, bessely, besselh}
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	518 @end deftypefn */)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	519 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	520 return do_bessel (BESSEL_K, "besselk", args, nargout);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	521 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	522
20872 ead410040418 2015 Code Sprint: mark bessel functions as tested Mike Miller <mtmiller@octave.org> parents: 20853 diff changeset	523 /*
ead410040418 2015 Code Sprint: mark bessel functions as tested Mike Miller <mtmiller@octave.org> parents: 20853 diff changeset	524 %!# Function besselk is tested along with other bessels at the end of this file
ead410040418 2015 Code Sprint: mark bessel functions as tested Mike Miller <mtmiller@octave.org> parents: 20853 diff changeset	525 */
ead410040418 2015 Code Sprint: mark bessel functions as tested Mike Miller <mtmiller@octave.org> parents: 20853 diff changeset	526
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	527 DEFUN (besselh, args, nargout,
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	528 doc: /* -- texinfo --
24594 a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	529 @deftypefn {} {@var{H} =} besselh (@var{alpha}, @var{x})
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	530 @deftypefnx {} {@var{H} =} besselh (@var{alpha}, @var{k}, @var{x})
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	531 @deftypefnx {} {@var{H} =} besselh (@var{alpha}, @var{k}, @var{x}, @var{opt})
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	532 @deftypefnx {} {[@var{H}, @var{ierr}] =} besselh (@dots{})
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	533 Compute Bessel functions of the third kind (Hankel functions).
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	534
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	535 The order of the Bessel function @var{alpha} must be real. The kind of Hankel
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	536 function is specified by @var{k} and may be either first (@var{k} = 1) or
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	537 second (@var{k} = 2). The default is Hankel functions of the first kind. The
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	538 points for evaluation @var{x} may be complex.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	539
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	540 If the optional argument @var{opt} is 1 or true, the result is multiplied
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	541 by @code{exp (-I@var{x})} for @var{k} = 1 or @code{exp (I@var{x})} for
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	542 @var{k} = 2.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	543
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	544 If @var{alpha} is a scalar, the result is the same size as @var{x}. If @var{x}
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	545 is a scalar, the result is the same size as @var{alpha}. If @var{alpha} is a
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	546 row vector and @var{x} is a column vector, the result is a matrix with
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	547 @code{length (@var{x})} rows and @code{length (@var{alpha})} columns.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	548 Otherwise, @var{alpha} and @var{x} must conform and the result will be the same
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	549 size.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	550
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	551 If requested, @var{ierr} contains the following status information and is the
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	552 same size as the result.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	553
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	554 @enumerate 0
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	555 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	556 Normal return.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	557
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	558 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	559 Input error, return @code{NaN}.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	560
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	561 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	562 Overflow, return @code{Inf}.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	563
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	564 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	565 Loss of significance by argument reduction results in less than half of machine
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	566 accuracy.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	567
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	568 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	569 Complete loss of significance by argument reduction, return @code{NaN}.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	570
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	571 @item
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	572 Error---no computation, algorithm termination condition not met, return
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	573 @code{NaN}.
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	574 @end enumerate
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	575
a81af57f6144 doc: Redo documentation of Bessel functions. Rik <rik@octave.org> parents: 24534 diff changeset	576 @seealso{besselj, bessely, besseli, besselk}
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	577 @end deftypefn */)
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	578 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	579 int nargin = args.length ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	580
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	581 if (nargin < 2 \|\| nargin > 4)
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	582 print_usage ();
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	583
20892 c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20872 diff changeset	584 octave_value_list retval;
c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20872 diff changeset	585
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	586 if (nargin == 2)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	587 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	588 retval = do_bessel (BESSEL_H1, "besselh", args, nargout);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	589 }
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	590 else
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	591 {
20703 85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	592 octave_idx_type kind = args(1).xint_value ("besselh: invalid value of K");
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	593
20703 85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	594 octave_value_list tmp_args;
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	595
20703 85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	596 if (nargin == 4)
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	597 tmp_args(2) = args(3);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	598
20703 85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	599 tmp_args(1) = args(2);
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	600 tmp_args(0) = args(0);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	601
20703 85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	602 if (kind == 1)
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	603 retval = do_bessel (BESSEL_H1, "besselh", tmp_args, nargout);
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	604 else if (kind == 2)
85e5efae848a eliminate more uses of error_state John W. Eaton <jwe@octave.org> parents: 20559 diff changeset	605 retval = do_bessel (BESSEL_H2, "besselh", tmp_args, nargout);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	606 else
20711 7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20703 diff changeset	607 error ("besselh: K must be 1 or 2");
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	608 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	609
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	610 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	611 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	612
20872 ead410040418 2015 Code Sprint: mark bessel functions as tested Mike Miller <mtmiller@octave.org> parents: 20853 diff changeset	613 /*
ead410040418 2015 Code Sprint: mark bessel functions as tested Mike Miller <mtmiller@octave.org> parents: 20853 diff changeset	614 %!# Function besselh is tested along with other bessels at the end of this file
ead410040418 2015 Code Sprint: mark bessel functions as tested Mike Miller <mtmiller@octave.org> parents: 20853 diff changeset	615 */
ead410040418 2015 Code Sprint: mark bessel functions as tested Mike Miller <mtmiller@octave.org> parents: 20853 diff changeset	616
15039 e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory Rik <rik@octave.org> parents: 14854 diff changeset	617 DEFUN (airy, args, nargout,
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	618 doc: /* -- texinfo --
30937 85a67c1a5712 besselj.cc: Improve input validation for function airy (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30896 diff changeset	619 @deftypefn {} {@var{a} =} airy (@var{z})
85a67c1a5712 besselj.cc: Improve input validation for function airy (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30896 diff changeset	620 @deftypefnx {} {@var{a} =} airy (@var{k}, @var{z})
85a67c1a5712 besselj.cc: Improve input validation for function airy (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30896 diff changeset	621 @deftypefnx {} {@var{a} =} airy (@var{k}, @var{z}, @var{scale})
85a67c1a5712 besselj.cc: Improve input validation for function airy (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30896 diff changeset	622 @deftypefnx {} {[@var{a}, @var{ierr}] =} airy (@dots{})
85a67c1a5712 besselj.cc: Improve input validation for function airy (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30896 diff changeset	623
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	624 Compute Airy functions of the first and second kind, and their derivatives.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	625
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	626 @example
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	627 @group
30937 85a67c1a5712 besselj.cc: Improve input validation for function airy (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30896 diff changeset	628 K Function Scale factor (if @var{scale} is true)
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	629 --- -------- ---------------------------------------
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	630 0 Ai (Z) exp ((2/3) * Z * sqrt (Z))
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	631 1 dAi(Z)/dZ exp ((2/3) * Z * sqrt (Z))
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	632 2 Bi (Z) exp (-abs (real ((2/3) * Z * sqrt (Z))))
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	633 3 dBi(Z)/dZ exp (-abs (real ((2/3) * Z * sqrt (Z))))
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	634 @end group
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	635 @end example
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	636
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	637 The function call @code{airy (@var{z})} is equivalent to
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	638 @code{airy (0, @var{z})}.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	639
30937 85a67c1a5712 besselj.cc: Improve input validation for function airy (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30896 diff changeset	640 The optional third input @var{scale} determines whether to
85a67c1a5712 besselj.cc: Improve input validation for function airy (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30896 diff changeset	641 apply scaling as described above. It is false by default.
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	642
30937 85a67c1a5712 besselj.cc: Improve input validation for function airy (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30896 diff changeset	643 The result @var{a} is the same size as @var{z}.
85a67c1a5712 besselj.cc: Improve input validation for function airy (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30896 diff changeset	644
85a67c1a5712 besselj.cc: Improve input validation for function airy (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30896 diff changeset	645 The optional output @var{ierr} contains the following status information and
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	646 is the same size as the result.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	647
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	648 @enumerate 0
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	649 @item
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	650 Normal return.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	651
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	652 @item
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	653 Input error, return @code{NaN}.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	654
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	655 @item
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	656 Overflow, return @code{Inf}.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	657
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	658 @item
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	659 Loss of significance by argument reduction results in less than half
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	660 of machine accuracy.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	661
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	662 @item
24906 451f4f291f46 Modified Bessel functions to compute the output with any input Michele Ginesi <michele.ginesi@gmail.com> parents: 24594 diff changeset	663 Loss of significance by argument reduction, output may be inaccurate.
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	664
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	665 @item
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	666 Error---no computation, algorithm termination condition not met,
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	667 return @code{NaN}.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	668 @end enumerate
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	669 @end deftypefn */)
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	670 {
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	671 int nargin = args.length ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	672
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	673 if (nargin < 1 \|\| nargin > 3)
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	674 print_usage ();
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	675
20892 c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20872 diff changeset	676 octave_value_list retval (nargout > 1 ? 2 : 1);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	677
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	678 int kind = 0;
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	679 if (nargin > 1)
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	680 {
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	681 kind = args(0).xint_value ("airy: K must be an integer value");
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	682
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	683 if (kind < 0 \|\| kind > 3)
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	684 error ("airy: K must be 0, 1, 2, or 3");
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	685 }
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	686
30937 85a67c1a5712 besselj.cc: Improve input validation for function airy (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30896 diff changeset	687 bool scale = (nargin == 3) && args(2).xbool_value ("airy: scale option must be a logical value");
20892 c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20872 diff changeset	688
c07bee629973 2015 Code Sprint: use ovl (). Rik <rik@octave.org> parents: 20872 diff changeset	689 int idx = (nargin == 1 ? 0 : 1);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	690
30937 85a67c1a5712 besselj.cc: Improve input validation for function airy (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30896 diff changeset	691 Array<octave_idx_type> ierr;
85a67c1a5712 besselj.cc: Improve input validation for function airy (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30896 diff changeset	692 octave_value result;
85a67c1a5712 besselj.cc: Improve input validation for function airy (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30896 diff changeset	693
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	694 if (args(idx).is_single_type ())
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	695 {
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	696 FloatComplexNDArray z = args(idx).xfloat_complex_array_value ("airy: Z must be a complex matrix");
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	697
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	698 if (kind > 1)
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	699 result = math::biry (z, kind == 3, scale, ierr);
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	700 else
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	701 result = math::airy (z, kind == 1, scale, ierr);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	702 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	703 else
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	704 {
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	705 ComplexNDArray z = args(idx).xcomplex_array_value ("airy: Z must be a complex matrix");
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	706
c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	707 if (kind > 1)
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	708 result = math::biry (z, kind == 3, scale, ierr);
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	709 else
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	710 result = math::airy (z, kind == 1, scale, ierr);
30937 85a67c1a5712 besselj.cc: Improve input validation for function airy (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30896 diff changeset	711 }
20803 c22206c1a88f eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20741 diff changeset	712
30937 85a67c1a5712 besselj.cc: Improve input validation for function airy (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30896 diff changeset	713 retval(0) = result;
85a67c1a5712 besselj.cc: Improve input validation for function airy (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30896 diff changeset	714 if (nargout > 1)
85a67c1a5712 besselj.cc: Improve input validation for function airy (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30896 diff changeset	715 retval(1) = NDArray (ierr);
3220 3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	716
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe] jwe parents: 3187 diff changeset	717 return retval;
3155 1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	718 }
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	719
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe] jwe parents: diff changeset	720 /*
30940 84944164799e besselj.cc: Add BISTs for the function airy, remove FIXME (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30937 diff changeset	721 %!test <*62321>
30944 4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	722 %! assert (airy (0, +1, false), 0.1352924163128814, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	723 %! assert (airy (0, -1, false), 0.5355608832923521, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	724 %! assert (airy (0, +i, false), 0.3314933054321411 - 0.3174498589684437i, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	725 %! assert (airy (0, -i, false), 0.3314933054321411 + 0.3174498589684437i, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	726 %! assert (airy (0, +1, true), 0.2635136447491401, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	727 %! assert (airy (0, -1, true), 0.4208904755499093 - 0.3311746779333462i, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	728 %! assert (airy (0, +i, true), 0.2743053542644657 - 0.0825606941400591i, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	729 %! assert (airy (0, -i, true), 0.2743053542644657 + 0.0825606941400591i, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	730 %! assert (airy (1, +1, false), -0.1591474412967932, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	731 %! assert (airy (1, -1, false), -0.0101605671166451, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	732 %! assert (airy (1, +i, false), -0.4324926598418070 + 0.0980478562292432i, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	733 %! assert (airy (1, -i, false), -0.4324926598418070 - 0.0980478562292432i, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	734 %! assert (airy (1, +1, true), -0.3099768889605148, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	735 %! assert (airy (1, -1, true), -0.0079850602592406 + 0.0062829878869967i, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	736 %! assert (airy (1, +i, true), -0.2682792317254506 - 0.0680655016581369i, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	737 %! assert (airy (1, -i, true), -0.2682792317254506 + 0.0680655016581369i, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	738 %! assert (airy (2, +1, false), 1.2074235949528715, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	739 %! assert (airy (2, -1, false), 0.1039973894969446, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	740 %! assert (airy (2, +i, false), 0.6488582083303949 + 0.3449586347680484i, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	741 %! assert (airy (2, -i, false), 0.6488582083303949 - 0.3449586347680484i, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	742 %! assert (airy (2, +1, true), 0.6199119435726786, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	743 %! assert (airy (2, -1, true), 0.1039973894969446, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	744 %! assert (airy (2, +i, true), 0.4049686654663902 + 0.2152973271658010i, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	745 %! assert (airy (2, -i, true), 0.4049686654663902 - 0.2152973271658010i, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	746 %! assert (airy (3, +1, false), 0.9324359333927754, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	747 %! assert (airy (3, -1, false), 0.5923756264227923, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	748 %! assert (airy (3, +i, false), 0.1350266467108190 - 0.1288373867812549i, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	749 %! assert (airy (3, -i, false), 0.1350266467108190 + 0.1288373867812549i, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	750 %! assert (airy (3, +1, true), 0.4787285706049846, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	751 %! assert (airy (3, -1, true), 0.5923756264227923, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	752 %! assert (airy (3, +i, true), 0.0842735134099415 - 0.0804106412111761i, 1e-15);
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	753 %! assert (airy (3, -i, true), 0.0842735134099415 + 0.0804106412111761i, 1e-15);
30940 84944164799e besselj.cc: Add BISTs for the function airy, remove FIXME (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30937 diff changeset	754
30941 272614f05636 besselj.cc: Add more BISTs for the function airy (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30940 diff changeset	755 Input validation tests
30944 4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	756 %!error airy ()
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	757 %!error airy (0, 1, 2, 3)
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	758 %!error <K must be an integer value> airy ("foo", 2, false)
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	759 %!error <K must be 0, 1, 2, or 3> airy (3743, 2, false)
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	760 %!error <scale option must be a logical value> airy (0, 2, "foo")
4727765dbc89 maint: Use Octave conventions for coding BIST tests in cset 84944164799e. Rik <rik@octave.org> parents: 30941 diff changeset	761 %!error <Z must be a complex matrix> airy (0, "foo", false)
20872 ead410040418 2015 Code Sprint: mark bessel functions as tested Mike Miller <mtmiller@octave.org> parents: 20853 diff changeset	762 */
ead410040418 2015 Code Sprint: mark bessel functions as tested Mike Miller <mtmiller@octave.org> parents: 20853 diff changeset	763
30940 84944164799e besselj.cc: Add BISTs for the function airy, remove FIXME (bug #62321) Arun Giridhar <arungiridhar@gmail.com> parents: 30937 diff changeset	764
20872 ead410040418 2015 Code Sprint: mark bessel functions as tested Mike Miller <mtmiller@octave.org> parents: 20853 diff changeset	765 /*
17336 b81b9d079515 Use '##' for comments which stand alone on a line. Rik <rik@octave.org> parents: 15195 diff changeset	766 ## Test values computed with GP/PARI version 2.3.3
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	767 %!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	768 %!
17336 b81b9d079515 Use '##' for comments which stand alone on a line. Rik <rik@octave.org> parents: 15195 diff changeset	769 %! ## Bessel functions, even order, positive and negative x
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	770 %! alpha = 2; x = 1.25;
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	771 %! jx = 0.1710911312405234823613091417;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	772 %! yx = -1.193199310178553861283790424;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	773 %! ix = 0.2220184483766341752692212604;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	774 %! kx = 0.9410016167388185767085460540;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	775 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	776 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	777 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	778 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	779 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	780 %!assert (besselh (alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	781 %!assert (besselh (alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	782 %!
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	783 %!assert (besselj (alpha,x,1), jxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	784 %!assert (bessely (alpha,x,1), yxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	785 %!assert (besseli (alpha,x,1), ixexp (-abs (real (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	786 %!assert (besselk (alpha,x,1), kxexp (x), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	787 %!assert (besselh (alpha,1,x,1), (jx + Iyx)exp (-Ix), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	788 %!assert (besselh (alpha,2,x,1), (jx - Iyx)exp (Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	789 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	790 %!assert (besselj (-alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	791 %!assert (bessely (-alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	792 %!assert (besseli (-alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	793 %!assert (besselk (-alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	794 %!assert (besselh (-alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	795 %!assert (besselh (-alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	796 %!
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	797 %!assert (besselj (-alpha,x,1), jxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	798 %!assert (bessely (-alpha,x,1), yxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	799 %!assert (besseli (-alpha,x,1), ixexp (-abs (real (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	800 %!assert (besselk (-alpha,x,1), kxexp (x), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	801 %!assert (besselh (-alpha,1,x,1), (jx + Iyx)exp (-Ix), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	802 %!assert (besselh (-alpha,2,x,1), (jx - Iyx)exp (Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	803 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	804 %! x *= -1;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	805 %! 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	806 %! 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	807 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	808 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	809 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	810 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	811 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	812 %!assert (besselh (alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	813 %!assert (besselh (alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	814 %!
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	815 %!assert (besselj (alpha,x,1), jxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	816 %!assert (bessely (alpha,x,1), yxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	817 %!assert (besseli (alpha,x,1), ixexp (-abs (real (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	818 %!assert (besselk (alpha,x,1), kxexp (x), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	819 %!assert (besselh (alpha,1,x,1), (jx + Iyx)exp (-Ix), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	820 %!assert (besselh (alpha,2,x,1), (jx - Iyx)exp (Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	821 %!
17336 b81b9d079515 Use '##' for comments which stand alone on a line. Rik <rik@octave.org> parents: 15195 diff changeset	822 %! ## Bessel functions, odd order, positive and negative x
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	823 %! alpha = 3; x = 2.5;
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	824 %! jx = 0.2166003910391135247666890035;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	825 %! yx = -0.7560554967536709968379029772;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	826 %! ix = 0.4743704087780355895548240179;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	827 %! kx = 0.2682271463934492027663765197;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	828 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	829 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	830 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	831 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	832 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	833 %!assert (besselh (alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	834 %!assert (besselh (alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	835 %!
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	836 %!assert (besselj (alpha,x,1), jxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	837 %!assert (bessely (alpha,x,1), yxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	838 %!assert (besseli (alpha,x,1), ixexp (-abs (real (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	839 %!assert (besselk (alpha,x,1), kxexp (x), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	840 %!assert (besselh (alpha,1,x,1), (jx + Iyx)exp (-Ix), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	841 %!assert (besselh (alpha,2,x,1), (jx - Iyx)exp (Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	842 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	843 %!assert (besselj (-alpha,x), -jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	844 %!assert (bessely (-alpha,x), -yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	845 %!assert (besseli (-alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	846 %!assert (besselk (-alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	847 %!assert (besselh (-alpha,1,x), -(jx + Iyx), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	848 %!assert (besselh (-alpha,2,x), -(jx - Iyx), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	849 %!
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	850 %!assert (besselj (-alpha,x,1), -jxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	851 %!assert (bessely (-alpha,x,1), -yxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	852 %!assert (besseli (-alpha,x,1), ixexp (-abs (real (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	853 %!assert (besselk (-alpha,x,1), kxexp (x), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	854 %!assert (besselh (-alpha,1,x,1), -(jx + Iyx)exp (-Ix), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	855 %!assert (besselh (-alpha,2,x,1), -(jx - Iyx)exp (Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	856 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	857 %! x *= -1;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	858 %! jx = -jx;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	859 %! 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	860 %! ix = -ix;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	861 %! 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	862 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	863 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	864 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	865 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	866 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	867 %!assert (besselh (alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	868 %!assert (besselh (alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	869 %!
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	870 %!assert (besselj (alpha,x,1), jxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	871 %!assert (bessely (alpha,x,1), yxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	872 %!assert (besseli (alpha,x,1), ixexp (-abs (real (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	873 %!assert (besselk (alpha,x,1), kxexp (x), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	874 %!assert (besselh (alpha,1,x,1), (jx + Iyx)exp (-Ix), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	875 %!assert (besselh (alpha,2,x,1), (jx - Iyx)exp (Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	876 %!
17336 b81b9d079515 Use '##' for comments which stand alone on a line. Rik <rik@octave.org> parents: 15195 diff changeset	877 %! ## Bessel functions, fractional order, positive and negative x
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	878 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	879 %! alpha = 3.5; x = 2.75;
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	880 %! jx = 0.1691636439842384154644784389;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	881 %! yx = -0.8301381935499356070267953387;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	882 %! ix = 0.3930540878794826310979363668;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	883 %! kx = 0.2844099013460621170288192503;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	884 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	885 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	886 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	887 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	888 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	889 %!assert (besselh (alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	890 %!assert (besselh (alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	891 %!
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	892 %!assert (besselj (alpha,x,1), jxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	893 %!assert (bessely (alpha,x,1), yxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	894 %!assert (besseli (alpha,x,1), ixexp (-abs (real (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	895 %!assert (besselk (alpha,x,1), kxexp (x), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	896 %!assert (besselh (alpha,1,x,1), (jx + Iyx)exp (-Ix), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	897 %!assert (besselh (alpha,2,x,1), (jx - Iyx)exp (Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	898 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	899 %! nix = 0.2119931212254662995364461998;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	900 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	901 %!assert (besselj (-alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	902 %!assert (bessely (-alpha,x), -jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	903 %!assert (besseli (-alpha,x), nix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	904 %!assert (besselk (-alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	905 %!assert (besselh (-alpha,1,x), -I(jx + Iyx), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	906 %!assert (besselh (-alpha,2,x), I(jx - Iyx), 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	907 %!
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	908 %!assert (besselj (-alpha,x,1), yxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	909 %!assert (bessely (-alpha,x,1), -jxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	910 %!assert (besseli (-alpha,x,1), nixexp (-abs (real (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	911 %!assert (besselk (-alpha,x,1), kxexp (x), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	912 %!assert (besselh (-alpha,1,x,1), -I(jx + Iyx)exp (-Ix), 100*eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	913 %!assert (besselh (-alpha,2,x,1), I(jx - Iyx)exp (Ix), 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	914 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	915 %! x *= -1;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	916 %! jx *= -I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	917 %! yx = -0.8301381935499356070267953387*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	918 %! ix *= -I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	919 %! kx = -0.9504059335995575096509874508*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	920 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	921 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	922 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	923 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	924 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	925 %!assert (besselh (alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	926 %!assert (besselh (alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	927 %!
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	928 %!assert (besselj (alpha,x,1), jxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	929 %!assert (bessely (alpha,x,1), yxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	930 %!assert (besseli (alpha,x,1), ixexp (-abs (real (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	931 %!assert (besselk (alpha,x,1), kxexp (x), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	932 %!assert (besselh (alpha,1,x,1), (jx + Iyx)exp (-Ix), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	933 %!assert (besselh (alpha,2,x,1), (jx - Iyx)exp (Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	934 %!
17336 b81b9d079515 Use '##' for comments which stand alone on a line. Rik <rik@octave.org> parents: 15195 diff changeset	935 %! ## Bessel functions, even order, complex x
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	936 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	937 %! alpha = 2; x = 1.25 + 3.625 * I;
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	938 %! 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	939 %! 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	940 %! 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	941 %! 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	942 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	943 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	944 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	945 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	946 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	947 %!assert (besselh (alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	948 %!assert (besselh (alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	949 %!
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	950 %!assert (besselj (alpha,x,1), jxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	951 %!assert (bessely (alpha,x,1), yxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	952 %!assert (besseli (alpha,x,1), ixexp (-abs (real (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	953 %!assert (besselk (alpha,x,1), kxexp (x), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	954 %!assert (besselh (alpha,1,x,1), (jx + Iyx)exp (-Ix), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	955 %!assert (besselh (alpha,2,x,1), (jx - Iyx)exp (Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	956 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	957 %!assert (besselj (-alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	958 %!assert (bessely (-alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	959 %!assert (besseli (-alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	960 %!assert (besselk (-alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	961 %!assert (besselh (-alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	962 %!assert (besselh (-alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	963 %!
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	964 %!assert (besselj (-alpha,x,1), jxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	965 %!assert (bessely (-alpha,x,1), yxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	966 %!assert (besseli (-alpha,x,1), ixexp (-abs (real (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	967 %!assert (besselk (-alpha,x,1), kxexp (x), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	968 %!assert (besselh (-alpha,1,x,1), (jx + Iyx)exp (-Ix), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	969 %!assert (besselh (-alpha,2,x,1), (jx - Iyx)exp (Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	970 %!
17336 b81b9d079515 Use '##' for comments which stand alone on a line. Rik <rik@octave.org> parents: 15195 diff changeset	971 %! ## Bessel functions, odd order, complex x
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	972 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	973 %! 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	974 %! 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	975 %! 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	976 %! 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	977 %! 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	978 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	979 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	980 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	981 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	982 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	983 %!assert (besselh (alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	984 %!assert (besselh (alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	985 %!
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	986 %!assert (besselj (alpha,x,1), jxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	987 %!assert (bessely (alpha,x,1), yxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	988 %!assert (besseli (alpha,x,1), ixexp (-abs (real (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	989 %!assert (besselk (alpha,x,1), kxexp (x), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	990 %!assert (besselh (alpha,1,x,1), (jx + Iyx)exp (-Ix), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	991 %!assert (besselh (alpha,2,x,1), (jx - Iyx)exp (Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	992 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	993 %!assert (besselj (-alpha,x), -jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	994 %!assert (bessely (-alpha,x), -yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	995 %!assert (besseli (-alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	996 %!assert (besselk (-alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	997 %!assert (besselh (-alpha,1,x), -(jx + Iyx), 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	998 %!assert (besselh (-alpha,2,x), -(jx - Iyx), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	999 %!
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	1000 %!assert (besselj (-alpha,x,1), -jxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	1001 %!assert (bessely (-alpha,x,1), -yxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	1002 %!assert (besseli (-alpha,x,1), ixexp (-abs (real (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	1003 %!assert (besselk (-alpha,x,1), kxexp (x), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	1004 %!assert (besselh (-alpha,1,x,1), -(jx + Iyx)exp (-Ix), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	1005 %!assert (besselh (-alpha,2,x,1), -(jx - Iyx)exp (Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	1006 %!
17336 b81b9d079515 Use '##' for comments which stand alone on a line. Rik <rik@octave.org> parents: 15195 diff changeset	1007 %! ## Bessel functions, fractional order, complex x
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	1008 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1009 %! alpha = 3.5; x = 1.75 + 4.125 * I;
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	1010 %! 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	1011 %! 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	1012 %! 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	1013 %! 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	1014 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1015 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1016 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1017 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1018 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1019 %!assert (besselh (alpha,1,x), jx + Iyx, 100eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1020 %!assert (besselh (alpha,2,x), jx - Iyx, 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	1021 %!
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	1022 %!assert (besselj (alpha,x,1), jxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	1023 %!assert (bessely (alpha,x,1), yxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	1024 %!assert (besseli (alpha,x,1), ixexp (-abs (real (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	1025 %!assert (besselk (alpha,x,1), kxexp (x), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	1026 %!assert (besselh (alpha,1,x,1), (jx + Iyx)exp (-Ix), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	1027 %!assert (besselh (alpha,2,x,1), (jx - Iyx)exp (Ix), 100eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	1028 %!
17337 a31b54b5f84a Use only 1 space between '%!' and start of test/demo code. Rik <rik@octave.org> parents: 17336 diff changeset	1029 %! nix = 0.09822388691172060573913739253 - 0.7110230642207380127317227407*I;
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	1030 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1031 %!assert (besselj (-alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1032 %!assert (bessely (-alpha,x), -jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1033 %!assert (besseli (-alpha,x), nix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1034 %!assert (besselk (-alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1035 %!assert (besselh (-alpha,1,x), -I(jx + Iyx), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1036 %!assert (besselh (-alpha,2,x), I(jx - Iyx), 100*eps)
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	1037 %!
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	1038 %!assert (besselj (-alpha,x,1), yxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	1039 %!assert (bessely (-alpha,x,1), -jxexp (-abs (imag (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	1040 %!assert (besseli (-alpha,x,1), nixexp (-abs (real (x))), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	1041 %!assert (besselk (-alpha,x,1), kxexp (x), 100eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	1042 %!assert (besselh (-alpha,1,x,1), -I(jx + Iyx)exp (-Ix), 100*eps)
c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 27923 diff changeset	1043 %!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	1044
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1045 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	1046 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	1047 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	1048 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	1049
21751 b571fc85953f maint: Use two spaces after period to indicate sentence break. Rik <rik@octave.org> parents: 21724 diff changeset	1050 For regular Bessel functions, there are 3 tests. These compare octave
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1051 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	1052 are good to only a few decimal places, so any failures should be
21751 b571fc85953f maint: Use two spaces after period to indicate sentence break. Rik <rik@octave.org> parents: 21724 diff changeset	1053 considered a broken implementation. Table 9.4 is an extended table
b571fc85953f maint: Use two spaces after period to indicate sentence break. Rik <rik@octave.org> parents: 21724 diff changeset	1054 for larger orders and arguments. There are some differences between
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1055 Octave and Table 9.4, mostly in the last decimal place but in a very
21751 b571fc85953f maint: Use two spaces after period to indicate sentence break. Rik <rik@octave.org> parents: 21724 diff changeset	1056 few instances the errors are in the last two places. The comparison
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1057 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	1058
21751 b571fc85953f maint: Use two spaces after period to indicate sentence break. Rik <rik@octave.org> parents: 21724 diff changeset	1059 Similarly for modified Bessel functions, there are 3 tests. These
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1060 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	1061 Tables 9.8 and 9.9 are good to only a few decimal places, so any
21751 b571fc85953f maint: Use two spaces after period to indicate sentence break. Rik <rik@octave.org> parents: 21724 diff changeset	1062 failures should be considered a broken implementation. Table 9.11 is
b571fc85953f maint: Use two spaces after period to indicate sentence break. Rik <rik@octave.org> parents: 21724 diff changeset	1063 an extended table for larger orders and arguments. There are some
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1064 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	1065 place but in a very few instances the errors are in the last two
21751 b571fc85953f maint: Use two spaces after period to indicate sentence break. Rik <rik@octave.org> parents: 21724 diff changeset	1066 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	1067
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1068 For spherical Bessel functions, there are also three tests, comparing
21751 b571fc85953f maint: Use two spaces after period to indicate sentence break. Rik <rik@octave.org> parents: 21724 diff changeset	1069 octave results to Tables 10.1, 10.2, and 10.4 in A&S. Very similar
b571fc85953f maint: Use two spaces after period to indicate sentence break. Rik <rik@octave.org> parents: 21724 diff changeset	1070 comments may be made here as in the previous lines. At this time,
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1071 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	1072
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 % 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	1074 % 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	1075 %!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	1076 %! 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	1077 %! 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	1078 %!
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	1079 %! 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	1080 %! [-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	1081 %! [-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	1082 %! [ 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	1083 %! [-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	1084 %! [ 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	1085 %! [-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	1086 %! [-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	1087 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1088 %! Yt = [[-Inf, -Inf, -Inf ];
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1089 %! [ 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	1090 %! [-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	1091 %! [ 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	1092 %! [ 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	1093 %! [-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	1094 %! [ 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	1095 %! [-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	1096 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1097 %! J = besselj (n,z);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1098 %! Y = bessely (n,z);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1099 %! assert (Jt(:,1), J(:,1), 0.5e-10);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1100 %! assert (Yt(:,1), Y(:,1), 0.5e-10);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1101 %! assert (Jt(:,2:3), J(:,2:3), 0.5e-10);
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1102
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1103 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	1104
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1105 %!test
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1106 %! n = (3:9);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1107 %! 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	1108 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1109 %! Jt = [[ 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1110 %! [ 1.2894e-01, 3.3996e-02, 7.0396e-03, 1.2024e-03, 1.7494e-04, 2.2180e-05, 2.4923e-06];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1111 %! [ 4.3017e-01, 2.8113e-01, 1.3209e-01, 4.9088e-02, 1.5176e-02, 4.0287e-03, 9.3860e-04];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1112 %! [ 1.1477e-01, 3.5764e-01, 3.6209e-01, 2.4584e-01, 1.2959e-01, 5.6532e-02, 2.1165e-02];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1113 %! [-2.9113e-01,-1.0536e-01, 1.8577e-01, 3.3758e-01, 3.2059e-01, 2.2345e-01, 1.2632e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1114 %! [ 5.8379e-02,-2.1960e-01,-2.3406e-01,-1.4459e-02, 2.1671e-01, 3.1785e-01, 2.9186e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1115 %! [ 1.9514e-01, 1.8250e-01,-7.3471e-02,-2.4372e-01,-1.7025e-01, 4.5095e-02, 2.3038e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1116 %! [-1.7681e-01, 7.6244e-02, 2.2038e-01, 8.1168e-02,-1.5080e-01,-2.3197e-01,-1.1431e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1117 %! [-4.3847e-02,-2.0264e-01,-5.7473e-02, 1.6672e-01, 1.8251e-01,-7.0211e-03,-1.8953e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1118 %! [ 1.8632e-01, 6.9640e-02,-1.5537e-01,-1.5596e-01, 5.1399e-02, 1.9593e-01, 1.2276e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1119 %! [-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	1120 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1121 %! Yt = [[ -Inf, -Inf, -Inf, -Inf, -Inf, -Inf, -Inf];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1122 %! [-1.1278e+00,-2.7659e+00,-9.9360e+00,-4.6914e+01,-2.7155e+02,-1.8539e+03,-1.4560e+04];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1123 %! [-1.8202e-01,-4.8894e-01,-7.9585e-01,-1.5007e+00,-3.7062e+00,-1.1471e+01,-4.2178e+01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1124 %! [ 3.2825e-01, 9.8391e-02,-1.9706e-01,-4.2683e-01,-6.5659e-01,-1.1052e+00,-2.2907e+00];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1125 %! [ 2.6542e-02, 2.8294e-01, 2.5640e-01, 3.7558e-02,-2.0006e-01,-3.8767e-01,-5.7528e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1126 %! [-2.5136e-01,-1.4495e-01, 1.3540e-01, 2.8035e-01, 2.0102e-01, 1.0755e-03,-1.9930e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1127 %! [ 1.2901e-01,-1.5122e-01,-2.2982e-01,-4.0297e-02, 1.8952e-01, 2.6140e-01, 1.5902e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1128 %! [ 1.2350e-01, 2.0393e-01,-6.9717e-03,-2.0891e-01,-1.7209e-01, 3.6816e-02, 2.1417e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1129 %! [-1.9637e-01,-7.3222e-05, 1.9633e-01, 1.2278e-01,-1.0425e-01,-2.1399e-01,-1.0975e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1130 %! [ 3.3724e-02,-1.7722e-01,-1.1249e-01, 1.1472e-01, 1.8897e-01, 3.2253e-02,-1.6030e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1131 %! [ 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	1132 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1133 %! n = (3:9);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1134 %! z = (0:2:20).';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1135 %! J = besselj (n,z);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1136 %! Y = bessely (n,z);
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1137 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1138 %! assert (J(1,:), zeros (1, columns (J)));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1139 %! assert (J(2:end,:), Jt(2:end,:), -5e-5);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1140 %! assert (Yt(1,:), Y(1,:));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1141 %! 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	1142
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1143 Table 9.4 - 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	1144
14450 ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1145 %!test
ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1146 %! 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	1147 %! [ 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	1148 %! [ 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	1149 %! [ 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	1150 %! [ 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	1151 %! [ 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	1152 %! [ 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	1153 %! [ 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	1154 %! [ 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	1155 %!
14450 ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1156 %! 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	1157 %! [-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	1158 %! [-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	1159 %! [-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	1160 %! [-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	1161 %! [-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	1162 %! [-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	1163 %! [-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	1164 %! [-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	1165 %!
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1166 %! n = [(0:5:20).';30;40;50;100];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1167 %! z = [1,2,5,10,50,100];
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1168 %! J = besselj (n.', z.').';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1169 %! Y = bessely (n.', z.').';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1170 %! assert (J, Jt, -1e-9);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1171 %! 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	1172
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1173 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	1174
14450 ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1175 %!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	1176 %! 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	1177 %! 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	1178 %! z2 = [7.5;10.0;15.0;20.0];
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1179 %! rtbl = [[ 0.9071009258 0.0452984468 0.1251041992 2.6823261023 10.890182683 1.995039646 ];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1180 %! [ 0.2700464416 0.2065846495 0.2042345837 0.7595486903 0.9001744239 0.759126289 ];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1181 %! [ 0.1835408126 0.1639722669 0.7002245988 0.5478075643 0.6002738588 0.132723593 ];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1182 %! [ 0.1483158301 0.1380412115 0.111504840 0.4505236991 0.4796689336 0.57843541 ];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1183 %! [ 0.1278333372 0.1212626814 0.103580801 0.3916319344 0.4107665704 0.47378525 ];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1184 %! [ 0.1038995314 0.1003741751 0.090516308 0.3210023535 0.3315348950 0.36520701 ];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1185 %! [ 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	1186 %!
14450 ab4676288414 Fix typos and errors in new bessel function tests Mike Miller <mtmiller@ieee.org> parents: 14426 diff changeset	1187 %! tbl = [besseli(n,z1,1), besselk(n,z1,1)];
14854 5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1188 %! tbl(:,3) = tbl(:,3) .* (exp (z1) .* z1.^(-2));
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1189 %! tbl(:,6) = tbl(:,6) .* (exp (-z1) .* z1.^(2));
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1190 %! 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	1191 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1192 %! 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	1193
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1194 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	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 %! 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	1198 %! [ 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	1199 %! [ 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	1200 %! [ 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	1201 %! [ 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	1202 %! [ 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	1203 %! [ 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	1204 %! [ 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	1205 %! [ 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	1206 %! [ 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	1207 %! [ 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	1208 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1209 %! Kt = [[ Inf Inf Inf Inf Inf Inf Inf];
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1210 %! [ 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	1211 %! [ 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	1212 %! [ 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	1213 %! [ 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	1214 %! [ 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	1215 %! [ 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	1216 %! [ 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	1217 %! [ 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	1218 %! [ 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	1219 %! [ 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	1220 %!
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	1221 %! 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	1222 %! z = (0:2:20).';
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1223 %! I = besseli (n,z,1);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1224 %! 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	1225 %!
14854 5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1226 %! assert (abs (I(1,:)), zeros (1, columns (I)));
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1227 %! assert (I(2:end,:), It(2:end,:), -5e-5);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1228 %! assert (Kt(1,:), K(1,:));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1229 %! 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	1230
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1231 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	1232
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	1233 %!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	1234 %! 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	1235 %! [ 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	1236 %! [ 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	1237 %! [ 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	1238 %! [ 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	1239 %! [ 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	1240 %! [ 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	1241 %! [ 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	1242 %! [ 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	1243 %!
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	1244 %! 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	1245 %! [ 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	1246 %! [ 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	1247 %! [ 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	1248 %! [ 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	1249 %! [ 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	1250 %! [ 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	1251 %! [ 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	1252 %! [ 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	1253 %!
14425 6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1254 %! 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	1255 %! z = [1,2,5,10,50,100];
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1256 %! I = besseli (n.', z.').';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1257 %! K = besselk (n.', z.').';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1258 %! assert (I, It, -5e-9);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1259 %! 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	1260
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1261 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	1262 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	1263
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1264 %!test
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1265 %! n = (0:2:20);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1266 %! assert (besselj (n,1), besselj (-n,1), 1e-8);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1267 %! 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	1268
14854 5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1269 besseli (n,z) = besseli (-n,z);
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1270
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	1271 %!test
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1272 %! n = (0:2:20);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1273 %! 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	1274
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1275 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	1276 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	1277
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	1278 %!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	1279 %! 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	1280 %! 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	1281 %!
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	1282 %! 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	1283 %! [ 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	1284 %! [-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	1285 %! [ 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	1286 %! [ -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	1287 %!
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	1288 %! 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	1289 %! [ 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	1290 %! [-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	1291 %! [ -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	1292 %! [ 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	1293 %!
14854 5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1294 %! j = sqrt ((pi/2)./z) .* besselj (n+1/2,z);
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1295 %! y = sqrt ((pi/2)./z) .* bessely (n+1/2,z);
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1296 %! assert (jt, j, -5e-5);
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1297 %! assert (yt, y, -5e-5);
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1298
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1299 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	1300 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	1301
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1302 Important note: In A&S, y_4(0.1) = -1.0507e+7, but Octave returns
14854 5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1303 y_4(0.1) = -1.0508e+07 (-10507503.75). If I compute the same term using
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1304 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	1305 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	1306
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	1307 %!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	1308 %! n = (3:8);
14854 5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory Rik <octave@nomad.inbox5.com> parents: 14501 diff changeset	1309 %! 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	1310 %!
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	1311 %! 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	1312 %! [ 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	1313 %! [ 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	1314 %! [-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	1315 %! [-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	1316 %!
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	1317 %! 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	1318 %! [-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	1319 %! [-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	1320 %! [ 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	1321 %! [-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	1322 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1323 %! j = sqrt ((pi/2)./z) .* besselj (n+1/2,z);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1324 %! 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	1325 %!
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1326 %! assert (jt, j, -5e-5);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1327 %! 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	1328
14426 e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short Jordi Gutiérrez Hermoso <jordigh@octave.org> parents: 14425 diff changeset	1329 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	1330
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	1331 %!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	1332 %! 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	1333 %! [ 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	1334 %! [ 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	1335 %! [ 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	1336 %! [ 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	1337 %! [ 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	1338 %! [ 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	1339 %! [ 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	1340 %! [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	1341 %!
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	1342 %! 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	1343 %! [ -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	1344 %! [ -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	1345 %! [ -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	1346 %! [ -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	1347 %! [ -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	1348 %! [ -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	1349 %! [ -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	1350 %! [-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	1351 %!
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders. Robert T. Short <octave@phaselockedsystems.com> parents: 14360 diff changeset	1352 %! 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	1353 %! z = [1,2,5,10,50,100];
14501 60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1354 %! j = sqrt ((pi/2)./z) .* besselj ((n+1/2).', z.').';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1355 %! y = sqrt ((pi/2)./z) .* bessely ((n+1/2).', z.').';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1356 %! assert (j, jt, -1e-9);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions. Rik <octave@nomad.inbox5.com> parents: 14450 diff changeset	1357 %! assert (y, yt, -1e-9);
8278 ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi Brian Gough <bjg@gnu.org> parents: 7919 diff changeset	1358 */
29958 32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 29359 diff changeset	1359
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 29359 diff changeset	1360 OCTAVE_NAMESPACE_END

Mercurial > octave

annotate libinterp/corefcn/besselj.cc @ 30944:4727765dbc89