annotate libinterp/corefcn/gammainc.cc @ 19074:0850b5212619

doc: Add @nospell macro around proper names in documentation. * aspell-octave.en.pws: Remove proper names from Octave's custom dictionary. * doc/interpreter/audio.txi, doc/interpreter/diagperm.txi, doc/interpreter/diffeq.txi, doc/interpreter/emacs.txi, doc/interpreter/func.txi, doc/interpreter/geometry.txi, doc/interpreter/intro.txi, doc/interpreter/linalg.txi, doc/interpreter/numbers.txi, doc/interpreter/preface.txi, doc/interpreter/quad.txi, doc/interpreter/sparse.txi, libinterp/corefcn/colloc.cc, libinterp/corefcn/ellipj.cc, libinterp/corefcn/gammainc.cc, libinterp/corefcn/hess.cc, libinterp/corefcn/quadcc.cc, libinterp/corefcn/rand.cc, libinterp/corefcn/sqrtm.cc, libinterp/dldfcn/ccolamd.cc, libinterp/dldfcn/colamd.cc, libinterp/dldfcn/dmperm.cc, libinterp/dldfcn/symrcm.cc, scripts/general/quadgk.m, scripts/general/quadl.m, scripts/linear-algebra/commutation_matrix.m, scripts/linear-algebra/condest.m, scripts/linear-algebra/duplication_matrix.m, scripts/linear-algebra/expm.m, scripts/linear-algebra/housh.m, scripts/linear-algebra/krylov.m, scripts/linear-algebra/onenormest.m, scripts/linear-algebra/qzhess.m, scripts/optimization/fminsearch.m, scripts/optimization/glpk.m, scripts/signal/arch_fit.m, scripts/signal/bartlett.m, scripts/signal/blackman.m, scripts/signal/diffpara.m, scripts/signal/durbinlevinson.m, scripts/signal/hamming.m, scripts/signal/hanning.m, scripts/sparse/eigs.m, scripts/sparse/pcg.m, scripts/sparse/pcr.m, scripts/specfun/ellipke.m, scripts/special-matrix/gallery.m, scripts/special-matrix/invhilb.m, scripts/statistics/base/quantile.m, scripts/statistics/tests/kruskal_wallis_test.m, scripts/statistics/tests/manova.m, scripts/statistics/tests/mcnemar_test.m: Add @nospell macro around proper names in documentation.
author Rik <rik@octave.org>
date Thu, 21 Aug 2014 15:57:18 -0700
parents 870f3e12e163
children e09318118fd6
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1 /*
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2
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3 Copyright (C) 1997-2013 John W. Eaton
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4
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5 This file is part of Octave.
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6
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7 Octave is free software; you can redistribute it and/or modify it
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8 under the terms of the GNU General Public License as published by the
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9 Free Software Foundation; either version 3 of the License, or (at your
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
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10 option) any later version.
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11
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12 Octave is distributed in the hope that it will be useful, but WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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20
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21 */
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22
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe]
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23 #ifdef HAVE_CONFIG_H
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24 #include <config.h>
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25 #endif
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26
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe]
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27 #include "lo-specfun.h"
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28
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29 #include "defun.h"
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30 #include "error.h"
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31 #include "gripes.h"
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32 #include "oct-obj.h"
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33 #include "utils.h"
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34
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35 DEFUN (gammainc, args, ,
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36 "-*- texinfo -*-\n\
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37 @deftypefn {Mapping Function} {} gammainc (@var{x}, @var{a})\n\
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38 @deftypefnx {Mapping Function} {} gammainc (@var{x}, @var{a}, \"lower\")\n\
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39 @deftypefnx {Mapping Function} {} gammainc (@var{x}, @var{a}, \"upper\")\n\
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40 Compute the normalized incomplete gamma function,\n\
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41 @tex\n\
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42 $$\n\
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43 \\gamma (x, a) = {1 \\over {\\Gamma (a)}}\\displaystyle{\\int_0^x t^{a-1} e^{-t} dt}\n\
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44 $$\n\
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45 @end tex\n\
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46 @ifnottex\n\
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47 \n\
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48 @example\n\
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49 @group\n\
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50 x\n\
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51 1 /\n\
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52 gammainc (x, a) = --------- | exp (-t) t^(a-1) dt\n\
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53 gamma (a) /\n\
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54 t=0\n\
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55 @end group\n\
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56 @end example\n\
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57 \n\
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58 @end ifnottex\n\
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59 with the limiting value of 1 as @var{x} approaches infinity.\n\
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60 The standard notation is @math{P(a,x)}, e.g., @nospell{Abramowitz} and\n\
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61 @nospell{Stegun} (6.5.1).\n\
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62 \n\
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63 If @var{a} is scalar, then @code{gammainc (@var{x}, @var{a})} is returned\n\
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64 for each element of @var{x} and vice versa.\n\
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65 \n\
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66 If neither @var{x} nor @var{a} is scalar, the sizes of @var{x} and\n\
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67 @var{a} must agree, and @code{gammainc} is applied element-by-element.\n\
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68 \n\
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69 By default the incomplete gamma function integrated from 0 to @var{x} is\n\
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70 computed. If @qcode{\"upper\"} is given then the complementary function\n\
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71 integrated from @var{x} to infinity is calculated. It should be noted that\n\
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72 \n\
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73 @example\n\
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74 gammainc (@var{x}, @var{a}) @equiv{} 1 - gammainc (@var{x}, @var{a}, \"upper\")\n\
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75 @end example\n\
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76 @seealso{gamma, lgamma}\n\
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77 @end deftypefn")
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78 {
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79 octave_value retval;
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80 bool lower = true;
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81
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82 int nargin = args.length ();
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83
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84 if (nargin == 3)
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85 {
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86 if (args(2).is_string ())
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87 {
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88 std::string s = args(2).string_value ();
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89 std::transform (s.begin (), s.end (), s.begin (), tolower);
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90 if (s == "upper")
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91 lower = false;
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92 else if (s != "lower")
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93 error ("gammainc: third argument must be \"lower\" or \"upper\"");
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94 }
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95 else
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96 error ("gammainc: third argument must be \"lower\" or \"upper\"");
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97
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98 }
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99
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100 if (!error_state && nargin >= 2 && nargin <= 3)
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101 {
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102 octave_value x_arg = args(0);
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103 octave_value a_arg = args(1);
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104
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105 // FIXME: Can we make a template version of the duplicated code below
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106 if (x_arg.is_single_type () || a_arg.is_single_type ())
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107 {
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108 if (x_arg.is_scalar_type ())
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109 {
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110 float x = x_arg.float_value ();
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111
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112 if (! error_state)
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113 {
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114 if (a_arg.is_scalar_type ())
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115 {
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116 float a = a_arg.float_value ();
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117
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118 if (! error_state)
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119 retval = lower ? gammainc (x, a)
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120 : static_cast<float>(1)
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121 - gammainc (x, a);
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122 }
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123 else
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124 {
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125 FloatNDArray a = a_arg.float_array_value ();
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126
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127 if (! error_state)
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128 retval = lower ? gammainc (x, a)
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129 : static_cast<float>(1)
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130 - gammainc (x, a);
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131 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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132 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9758
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133 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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134 else
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135 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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136 FloatNDArray x = x_arg.float_array_value ();
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137
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138 if (! error_state)
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139 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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140 if (a_arg.is_scalar_type ())
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141 {
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142 float a = a_arg.float_value ();
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143
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144 if (! error_state)
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145 retval = lower ? gammainc (x, a)
17787
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146 : static_cast<float>(1)
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147 - gammainc (x, a);
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148 }
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149 else
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150 {
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151 FloatNDArray a = a_arg.float_array_value ();
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152
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153 if (! error_state)
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154 retval = lower ? gammainc (x, a)
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155 : static_cast<float>(1)
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156 - gammainc (x, a);
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157 }
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158 }
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159 }
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160 }
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161 else
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162 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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163 if (x_arg.is_scalar_type ())
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164 {
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165 double x = x_arg.double_value ();
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166
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167 if (! error_state)
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168 {
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diff changeset
169 if (a_arg.is_scalar_type ())
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diff changeset
170 {
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171 double a = a_arg.double_value ();
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172
10154
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173 if (! error_state)
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174 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a);
10154
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175 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
176 else
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diff changeset
177 {
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178 NDArray a = a_arg.array_value ();
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179
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180 if (! error_state)
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181 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a);
10154
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182 }
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diff changeset
183 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
184 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9758
diff changeset
185 else
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diff changeset
186 {
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187 NDArray x = x_arg.array_value ();
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188
10154
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189 if (! error_state)
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diff changeset
190 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
191 if (a_arg.is_scalar_type ())
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diff changeset
192 {
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diff changeset
193 double a = a_arg.double_value ();
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diff changeset
194
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195 if (! error_state)
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diff changeset
196 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a);
10154
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diff changeset
197 }
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diff changeset
198 else
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diff changeset
199 {
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diff changeset
200 NDArray a = a_arg.array_value ();
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diff changeset
201
10154
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202 if (! error_state)
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diff changeset
203 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a);
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diff changeset
204 }
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parents: 9758
diff changeset
205 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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parents: 9758
diff changeset
206 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
207 }
3254
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diff changeset
208 }
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe]
jwe
parents:
diff changeset
209 else
5823
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parents: 5642
diff changeset
210 print_usage ();
3254
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211
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe]
jwe
parents:
diff changeset
212 return retval;
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe]
jwe
parents:
diff changeset
213 }
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe]
jwe
parents:
diff changeset
214
28d5f556b8cf [project @ 1999-07-15 16:02:57 by jwe]
jwe
parents:
diff changeset
215 /*
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216 %!test
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217 %! a = [.5 .5 .5 .5 .5];
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218 %! x = [0 1 2 3 4];
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219 %! v1 = sqrt (pi)*erf (x)./gamma (a);
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diff changeset
220 %! v3 = gammainc (x.*x, a);
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221 %! assert (v1, v3, sqrt (eps));
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diff changeset
222
14501
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diff changeset
223 %!assert (gammainc (0:4,0.5, "upper"), 1-gammainc (0:4,0.5), 1e-10)
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diff changeset
224
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diff changeset
225 %!test
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226 %! a = single ([.5 .5 .5 .5 .5]);
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227 %! x = single ([0 1 2 3 4]);
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diff changeset
228 %! v1 = sqrt (pi ("single"))*erf (x)./gamma (a);
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diff changeset
229 %! v3 = gammainc (x.*x, a);
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diff changeset
230 %! assert (v1, v3, sqrt (eps ("single")));
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diff changeset
231
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diff changeset
232 %!assert (gammainc (single (0:4), single (0.5), "upper"),
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233 %! single (1)-gammainc (single (0:4), single (0.5)),
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diff changeset
234 %! single (1e-7))
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235 */