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

annotate src/DLD-FUNCTIONS/gammainc.cc @ 10698:fa00ccf7b1f9

Implementary complementary incomplete gamma function (bug #30088)

author	David Bateman <dbateman@free.fr>
date	Sat, 12 Jun 2010 01:01:39 +0200
parents	d0ce5e973937
children	a3c04f036352

rev	line source
3254 28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	1 /*
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	2
8920 eb63fbe60fab update copyright notices John W. Eaton <jwe@octave.org> parents: 8517 diff changeset	3 Copyright (C) 1997, 1999, 2000, 2004, 2005, 2006, 2007, 2008,
eb63fbe60fab update copyright notices John W. Eaton <jwe@octave.org> parents: 8517 diff changeset	4 2009 John W. Eaton
3254 28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	5
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	6 This file is part of Octave.
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	7
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	8 Octave is free software; you can redistribute it and/or modify it
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	9 under the terms of the GNU General Public License as published by the
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5823 diff changeset	10 Free Software Foundation; either version 3 of the License, or (at your
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5823 diff changeset	11 option) any later version.
3254 28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	12
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	13 Octave is distributed in the hope that it will be useful, but WITHOUT
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	16 for more details.
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	17
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	18 You should have received a copy of the GNU General Public License
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5823 diff changeset	19 along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 5823 diff changeset	20 <http://www.gnu.org/licenses/>.
3254 28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	21
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	22 */
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	23
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	24 #ifdef HAVE_CONFIG_H
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	25 #include <config.h>
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	26 #endif
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	27
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	28 #include "lo-specfun.h"
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	29
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	30 #include "defun-dld.h"
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	31 #include "error.h"
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	32 #include "gripes.h"
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	33 #include "oct-obj.h"
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	34 #include "utils.h"
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	35
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	36 DEFUN_DLD (gammainc, args, ,
3548 ab7fa5a8f23f [project @ 2000-02-03 01:17:15 by jwe] jwe parents: 3444 diff changeset	37 "-- texinfo --\n\
3444 fa0d84558faa [project @ 2000-01-17 08:40:39 by jwe] jwe parents: 3254 diff changeset	38 @deftypefn {Mapping Function} {} gammainc (@var{x}, @var{a})\n\
10698 fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	39 @deftypefnx {Mapping Function} {} gammainc (@var{x}, @var{a}, \"lower\")\n\
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	40 @deftypefnx {Mapping Function} {} gammainc (@var{x}, @var{a}, \"upper\")\n\
5517 947aa3464e1d [project @ 2005-10-28 14:21:11 by jwe] jwe parents: 5307 diff changeset	41 Compute the normalized incomplete gamma function,\n\
3444 fa0d84558faa [project @ 2000-01-17 08:40:39 by jwe] jwe parents: 3254 diff changeset	42 @tex\n\
fa0d84558faa [project @ 2000-01-17 08:40:39 by jwe] jwe parents: 3254 diff changeset	43 $$\n\
3683 505f5c35a2c9 [project @ 2000-06-27 20:19:47 by jwe] jwe parents: 3548 diff changeset	44 \\gamma (x, a) = {\\displaystyle\\int_0^x e^{-t} t^{a-1} dt \\over \\Gamma (a)}\n\
3444 fa0d84558faa [project @ 2000-01-17 08:40:39 by jwe] jwe parents: 3254 diff changeset	45 $$\n\
fa0d84558faa [project @ 2000-01-17 08:40:39 by jwe] jwe parents: 3254 diff changeset	46 @end tex\n\
8517 81d6ab3ac93c Allow documentation tobe built for other formats than tex and info sh@sh-laptop parents: 7815 diff changeset	47 @ifnottex\n\
3254 28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	48 \n\
3444 fa0d84558faa [project @ 2000-01-17 08:40:39 by jwe] jwe parents: 3254 diff changeset	49 @smallexample\n\
3683 505f5c35a2c9 [project @ 2000-06-27 20:19:47 by jwe] jwe parents: 3548 diff changeset	50 x\n\
505f5c35a2c9 [project @ 2000-06-27 20:19:47 by jwe] jwe parents: 3548 diff changeset	51 1 /\n\
505f5c35a2c9 [project @ 2000-06-27 20:19:47 by jwe] jwe parents: 3548 diff changeset	52 gammainc (x, a) = --------- \| exp (-t) t^(a-1) dt\n\
505f5c35a2c9 [project @ 2000-06-27 20:19:47 by jwe] jwe parents: 3548 diff changeset	53 gamma (a) /\n\
505f5c35a2c9 [project @ 2000-06-27 20:19:47 by jwe] jwe parents: 3548 diff changeset	54 t=0\n\
3444 fa0d84558faa [project @ 2000-01-17 08:40:39 by jwe] jwe parents: 3254 diff changeset	55 @end smallexample\n\
5517 947aa3464e1d [project @ 2005-10-28 14:21:11 by jwe] jwe parents: 5307 diff changeset	56 \n\
8517 81d6ab3ac93c Allow documentation tobe built for other formats than tex and info sh@sh-laptop parents: 7815 diff changeset	57 @end ifnottex\n\
5517 947aa3464e1d [project @ 2005-10-28 14:21:11 by jwe] jwe parents: 5307 diff changeset	58 with the limiting value of 1 as @var{x} approaches infinity.\n\
9064 7c02ec148a3c Check grammar on all .cc files Rik <rdrider0-list@yahoo.com> parents: 8920 diff changeset	59 The standard notation is @math{P(a,x)}, e.g., Abramowitz and Stegun (6.5.1).\n\
3254 28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	60 \n\
3683 505f5c35a2c9 [project @ 2000-06-27 20:19:47 by jwe] jwe parents: 3548 diff changeset	61 If @var{a} is scalar, then @code{gammainc (@var{x}, @var{a})} is returned\n\
3444 fa0d84558faa [project @ 2000-01-17 08:40:39 by jwe] jwe parents: 3254 diff changeset	62 for each element of @var{x} and vice versa.\n\
fa0d84558faa [project @ 2000-01-17 08:40:39 by jwe] jwe parents: 3254 diff changeset	63 \n\
3683 505f5c35a2c9 [project @ 2000-06-27 20:19:47 by jwe] jwe parents: 3548 diff changeset	64 If neither @var{x} nor @var{a} is scalar, the sizes of @var{x} and\n\
505f5c35a2c9 [project @ 2000-06-27 20:19:47 by jwe] jwe parents: 3548 diff changeset	65 @var{a} must agree, and @var{gammainc} is applied element-by-element.\n\
10698 fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	66 \n\
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	67 By default the incomplete gamma function integrated from 0 to @var{x} is\n\
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	68 computed. If \"upper\" is given then the complementary function integrated\n\
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	69 for @var{x} to infinity is calculated. It should be noted that\n\
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	70 \n\
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	71 @example\n\
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	72 gammainc (@var{x}, @var{a}) = 1 - gammainc (@var{x}, @vaar{a}, \"upper\")\n\
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	73 @end example\n\
5642 2618a0750ae6 [project @ 2006-03-06 21:26:48 by jwe] jwe parents: 5517 diff changeset	74 @seealso{gamma, lgamma}\n\
2618a0750ae6 [project @ 2006-03-06 21:26:48 by jwe] jwe parents: 5517 diff changeset	75 @end deftypefn")
3254 28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	76 {
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	77 octave_value retval;
10698 fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	78 bool lower = true;
3254 28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	79
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	80 int nargin = args.length ();
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	81
10698 fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	82 if (nargin == 3)
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	83 {
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	84 if (args(2).is_string ())
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	85 {
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	86 std::string s = args(2).string_value ();
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	87 std::transform (s.begin (), s.end (), s.begin (), tolower);
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	88 if (s == "upper")
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	89 lower = false;
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	90 else if (s != "lower")
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	91 error ("expecting third argument to be \"lower\" or \"upper\"");
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	92 }
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	93 else
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	94 error ("expecting third argument to be \"lower\" or \"upper\"");
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	95
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	96 }
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	97
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	98 if (!error_state && nargin >= 2 && nargin <= 3)
3254 28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	99 {
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	100 octave_value x_arg = args(0);
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	101 octave_value a_arg = args(1);
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	102
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	103 // FIXME Can we make a template version of the duplicated code below
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	104 if (x_arg.is_single_type () \|\| a_arg.is_single_type ())
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	105 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	106 if (x_arg.is_scalar_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	107 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	108 float x = x_arg.float_value ();
3254 28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	109
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	110 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	111 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	112 if (a_arg.is_scalar_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	113 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	114 float a = a_arg.float_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	115
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	116 if (! error_state)
10698 fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	117 retval = lower ? gammainc (x, a)
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	118 : static_cast<float>(1) - gammainc (x, a);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	119 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	120 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	121 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	122 FloatNDArray a = a_arg.float_array_value ();
3254 28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	123
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	124 if (! error_state)
10698 fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	125 retval = lower ? gammainc (x, a)
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	126 : static_cast<float>(1) - gammainc (x, a);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	127 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	128 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	129 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	130 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	131 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	132 FloatNDArray x = x_arg.float_array_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	133
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	134 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	135 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	136 if (a_arg.is_scalar_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	137 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	138 float a = a_arg.float_value ();
3254 28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	139
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	140 if (! error_state)
10698 fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	141 retval = lower ? gammainc (x, a)
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	142 : static_cast<float>(1) - gammainc (x, a);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	143 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	144 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	145 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	146 FloatNDArray a = a_arg.float_array_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	147
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	148 if (! error_state)
10698 fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	149 retval = lower ? gammainc (x, a)
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	150 : static_cast<float>(1) - gammainc (x, a);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	151 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	152 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	153 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	154 }
3254 28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	155 else
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	156 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	157 if (x_arg.is_scalar_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	158 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	159 double x = x_arg.double_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	160
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	161 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	162 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	163 if (a_arg.is_scalar_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	164 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	165 double a = a_arg.double_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	166
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	167 if (! error_state)
10698 fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	168 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	169 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	170 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	171 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	172 NDArray a = a_arg.array_value ();
3254 28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	173
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	174 if (! error_state)
10698 fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	175 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	176 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	177 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	178 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	179 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	180 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	181 NDArray x = x_arg.array_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	182
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	183 if (! error_state)
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	184 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	185 if (a_arg.is_scalar_type ())
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	186 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	187 double a = a_arg.double_value ();
3254 28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	188
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	189 if (! error_state)
10698 fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	190 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	191 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	192 else
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	193 {
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	194 NDArray a = a_arg.array_value ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7017 diff changeset	195
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	196 if (! error_state)
10698 fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	197 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a);
10154 40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	198 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	199 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	200 }
40dfc0c99116 DLD-FUNCTIONS/.cc: untabify John W. Eaton <jwe@octave.org>* parents: 9758 diff changeset	201 }
3254 28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	202 }
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	203 else
5823 080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe] jwe parents: 5642 diff changeset	204 print_usage ();
3254 28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	205
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	206 return retval;
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	207 }
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	208
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe] jwe parents: diff changeset	209 /*
7815 a41df65f3f00 Add some single precision test code and fix resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	210
a41df65f3f00 Add some single precision test code and fix resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	211 %!test
a41df65f3f00 Add some single precision test code and fix resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	212 %! a = [.5 .5 .5 .5 .5];
a41df65f3f00 Add some single precision test code and fix resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	213 %! x = [0 1 2 3 4];
a41df65f3f00 Add some single precision test code and fix resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	214 %! v1 = sqrt(pi)*erf(x)./gamma(a);
a41df65f3f00 Add some single precision test code and fix resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	215 %! v3 = gammainc(x.*x,a);
a41df65f3f00 Add some single precision test code and fix resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	216 %! assert(v1, v3, sqrt(eps));
a41df65f3f00 Add some single precision test code and fix resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	217
10698 fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	218 %!assert (gammainc(0:4,0.5,"upper"), 1-gammainc(0:4,0.5),1e-10)
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	219
7815 a41df65f3f00 Add some single precision test code and fix resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	220 %!test
a41df65f3f00 Add some single precision test code and fix resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	221 %! a = single ([.5 .5 .5 .5 .5]);
a41df65f3f00 Add some single precision test code and fix resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	222 %! x = single([0 1 2 3 4]);
a41df65f3f00 Add some single precision test code and fix resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	223 %! v1 = sqrt(pi('single'))*erf(x)./gamma(a);
a41df65f3f00 Add some single precision test code and fix resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	224 %! v3 = gammainc(x.*x,a);
a41df65f3f00 Add some single precision test code and fix resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	225 %! assert(v1, v3, sqrt(eps('single')));
a41df65f3f00 Add some single precision test code and fix resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	226
10698 fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	227 %!assert (gammainc(single(0:4),single(0.5),"upper"), single(1)-gammainc(single(0:4),single(0.5)),single(1e-7))
fa00ccf7b1f9 Implementary complementary incomplete gamma function (bug #30088) David Bateman <dbateman@free.fr> parents: 10155 diff changeset	228
7815 a41df65f3f00 Add some single precision test code and fix resulting bugs David Bateman <dbateman@free.fr> parents: 7789 diff changeset	229 */

Mercurial > octave-nkf

annotate src/DLD-FUNCTIONS/gammainc.cc @ 10698:fa00ccf7b1f9