Mercurial > hg > octave-nkf
annotate libinterp/corefcn/gammainc.cc @ 19232:0850b5212619
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> |
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date | Thu, 21 Aug 2014 15:57:18 -0700 |
parents | 870f3e12e163 |
children | e09318118fd6 |
rev | line source |
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3254 | 1 /* |
2 | |
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3 Copyright (C) 1997-2013 John W. Eaton |
3254 | 4 |
5 This file is part of Octave. | |
6 | |
7 Octave is free software; you can redistribute it and/or modify it | |
8 under the terms of the GNU General Public License as published by the | |
7016 | 9 Free Software Foundation; either version 3 of the License, or (at your |
10 option) any later version. | |
3254 | 11 |
12 Octave is distributed in the hope that it will be useful, but WITHOUT | |
13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
15 for more details. | |
16 | |
17 You should have received a copy of the GNU General Public License | |
7016 | 18 along with Octave; see the file COPYING. If not, see |
19 <http://www.gnu.org/licenses/>. | |
3254 | 20 |
21 */ | |
22 | |
23 #ifdef HAVE_CONFIG_H | |
24 #include <config.h> | |
25 #endif | |
26 | |
27 #include "lo-specfun.h" | |
28 | |
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29 #include "defun.h" |
3254 | 30 #include "error.h" |
31 #include "gripes.h" | |
32 #include "oct-obj.h" | |
33 #include "utils.h" | |
34 | |
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35 DEFUN (gammainc, args, , |
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36 "-*- texinfo -*-\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\ |
5517 | 40 Compute the normalized incomplete gamma function,\n\ |
3444 | 41 @tex\n\ |
42 $$\n\ | |
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43 \\gamma (x, a) = {1 \\over {\\Gamma (a)}}\\displaystyle{\\int_0^x t^{a-1} e^{-t} dt}\n\ |
3444 | 44 $$\n\ |
45 @end tex\n\ | |
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46 @ifnottex\n\ |
3254 | 47 \n\ |
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48 @example\n\ |
10840 | 49 @group\n\ |
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50 x\n\ |
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51 1 /\n\ |
3683 | 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\ |
10840 | 55 @end group\n\ |
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56 @end example\n\ |
5517 | 57 \n\ |
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58 @end ifnottex\n\ |
5517 | 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\ |
3254 | 62 \n\ |
3683 | 63 If @var{a} is scalar, then @code{gammainc (@var{x}, @var{a})} is returned\n\ |
3444 | 64 for each element of @var{x} and vice versa.\n\ |
65 \n\ | |
3683 | 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\ |
5642 | 76 @seealso{gamma, lgamma}\n\ |
77 @end deftypefn") | |
3254 | 78 { |
79 octave_value retval; | |
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80 bool lower = true; |
3254 | 81 |
82 int nargin = args.length (); | |
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) |
3254 | 101 { |
102 octave_value x_arg = args(0); | |
103 octave_value a_arg = args(1); | |
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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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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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 } |
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132 } |
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133 } |
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134 else |
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135 { |
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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 { |
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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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144 if (! error_state) |
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145 retval = lower ? gammainc (x, a) |
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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 } |
3254 | 161 else |
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162 { |
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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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169 if (a_arg.is_scalar_type ()) |
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170 { |
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171 double a = a_arg.double_value (); |
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172 |
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173 if (! error_state) |
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174 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a); |
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175 } |
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176 else |
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177 { |
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178 NDArray a = a_arg.array_value (); |
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180 if (! error_state) |
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181 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a); |
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182 } |
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183 } |
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184 } |
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185 else |
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186 { |
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187 NDArray x = x_arg.array_value (); |
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188 |
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189 if (! error_state) |
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190 { |
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191 if (a_arg.is_scalar_type ()) |
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192 { |
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193 double a = a_arg.double_value (); |
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195 if (! error_state) |
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196 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a); |
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197 } |
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198 else |
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199 { |
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200 NDArray a = a_arg.array_value (); |
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201 |
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202 if (! error_state) |
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203 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a); |
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204 } |
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205 } |
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206 } |
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207 } |
3254 | 208 } |
209 else | |
5823 | 210 print_usage (); |
3254 | 211 |
212 return retval; | |
213 } | |
214 | |
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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220 %! v3 = gammainc (x.*x, a); |
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221 %! assert (v1, v3, sqrt (eps)); |
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222 |
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223 %!assert (gammainc (0:4,0.5, "upper"), 1-gammainc (0:4,0.5), 1e-10) |
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224 |
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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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228 %! v1 = sqrt (pi ("single"))*erf (x)./gamma (a); |
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229 %! v3 = gammainc (x.*x, a); |
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230 %! assert (v1, v3, sqrt (eps ("single"))); |
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231 |
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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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234 %! single (1e-7)) |
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235 */ |