annotate libinterp/corefcn/gammainc.cc @ 20616:fd0efcdb3718

use new string_value method to handle value extraction errors * dirfns.cc, file-io.cc, gammainc.cc, help.cc, load-path.cc, octave-link.cc, qz.cc, regexp.cc, strfns.cc, syscalls.cc, time.cc, variables.cc: Use new string_value method.
author John W. Eaton <jwe@octave.org>
date Thu, 08 Oct 2015 19:00:51 -0400
parents b10432a40432
children
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1 /*
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2
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3 Copyright (C) 1997-2015 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
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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 \n\
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42 This is defined as\n\
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43 @tex\n\
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44 $$\n\
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45 \\gamma (x, a) = {1 \\over {\\Gamma (a)}}\\displaystyle{\\int_0^x t^{a-1} e^{-t} dt}\n\
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46 $$\n\
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47 @end tex\n\
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48 @ifnottex\n\
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49 \n\
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50 @example\n\
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51 @group\n\
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52 x\n\
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53 1 /\n\
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54 gammainc (x, a) = --------- | exp (-t) t^(a-1) dt\n\
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55 gamma (a) /\n\
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56 t=0\n\
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57 @end group\n\
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58 @end example\n\
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59 \n\
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60 @end ifnottex\n\
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61 with the limiting value of 1 as @var{x} approaches infinity.\n\
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62 The standard notation is @math{P(a,x)}, e.g., @nospell{Abramowitz} and\n\
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63 @nospell{Stegun} (6.5.1).\n\
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64 \n\
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65 If @var{a} is scalar, then @code{gammainc (@var{x}, @var{a})} is returned\n\
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66 for each element of @var{x} and vice versa.\n\
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67 \n\
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68 If neither @var{x} nor @var{a} is scalar, the sizes of @var{x} and\n\
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69 @var{a} must agree, and @code{gammainc} is applied element-by-element.\n\
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70 \n\
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71 By default the incomplete gamma function integrated from 0 to @var{x} is\n\
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72 computed. If @qcode{\"upper\"} is given then the complementary function\n\
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73 integrated from @var{x} to infinity is calculated. It should be noted that\n\
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74 \n\
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75 @example\n\
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76 gammainc (@var{x}, @var{a}) @equiv{} 1 - gammainc (@var{x}, @var{a}, \"upper\")\n\
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77 @end example\n\
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78 @seealso{gamma, gammaln}\n\
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79 @end deftypefn")
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80 {
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81 octave_value retval;
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82 bool lower = true;
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83
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84 int nargin = args.length ();
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85
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86 if (nargin == 3)
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87 {
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88 std::string s = args(2).string_value ("gammainc: third argument must be \"lower\" or \"upper\"");
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89
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90 std::transform (s.begin (), s.end (), s.begin (), tolower);
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91
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92 if (s == "upper")
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93 lower = false;
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94 else if (s != "lower")
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95 error ("gammainc: third argument must be \"lower\" or \"upper\"");
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96 }
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97
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98 if (nargin < 2 || nargin > 3)
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99 print_usage ();
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100
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101 octave_value x_arg = args(0);
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102 octave_value a_arg = args(1);
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103
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104 // FIXME: Can we make a template version of the duplicated code below
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105 if (x_arg.is_single_type () || a_arg.is_single_type ())
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106 {
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107 if (x_arg.is_scalar_type ())
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108 {
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109 float x = x_arg.float_value ();
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110
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111 if (a_arg.is_scalar_type ())
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112 {
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113 float a = a_arg.float_value ();
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114
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115 retval = lower ? gammainc (x, a) : 1.0f - gammainc (x, a);
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116 }
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117 else
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118 {
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119 FloatNDArray a = a_arg.float_array_value ();
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120
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121 retval = lower ? gammainc (x, a) : 1.0f - gammainc (x, a);
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122 }
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123 }
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124 else
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125 {
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126 FloatNDArray x = x_arg.float_array_value ();
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127
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128 if (a_arg.is_scalar_type ())
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129 {
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130 float a = a_arg.float_value ();
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131
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132 retval = lower ? gammainc (x, a) : 1.0f - gammainc (x, a);
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133 }
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134 else
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135 {
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136 FloatNDArray a = a_arg.float_array_value ();
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137
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138 retval = lower ? gammainc (x, a) : 1.0f - gammainc (x, a);
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139 }
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140 }
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141 }
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142 else
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143 {
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144 if (x_arg.is_scalar_type ())
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145 {
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146 double x = x_arg.double_value ();
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147
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148 if (a_arg.is_scalar_type ())
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149 {
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150 double a = a_arg.double_value ();
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151
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152 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a);
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153 }
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154 else
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155 {
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156 NDArray a = a_arg.array_value ();
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157
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158 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a);
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159 }
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160 }
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161 else
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162 {
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163 NDArray x = x_arg.array_value ();
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164
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165 if (a_arg.is_scalar_type ())
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166 {
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167 double a = a_arg.double_value ();
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168
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169 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a);
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170 }
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171 else
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172 {
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173 NDArray a = a_arg.array_value ();
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174
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175 retval = lower ? gammainc (x, a) : 1. - gammainc (x, a);
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176 }
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177 }
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178 }
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179
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180 return retval;
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181 }
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182
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183 /*
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184 %!test
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185 %! a = [.5 .5 .5 .5 .5];
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186 %! x = [0 1 2 3 4];
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187 %! v1 = sqrt (pi)*erf (x)./gamma (a);
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188 %! v3 = gammainc (x.*x, a);
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189 %! assert (v1, v3, sqrt (eps));
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190
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191 %!assert (gammainc (0:4,0.5, "upper"), 1-gammainc (0:4,0.5), 1e-10)
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192
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193 %!test
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194 %! a = single ([.5 .5 .5 .5 .5]);
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195 %! x = single ([0 1 2 3 4]);
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196 %! v1 = sqrt (pi ("single"))*erf (x)./gamma (a);
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197 %! v3 = gammainc (x.*x, a);
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198 %! assert (v1, v3, sqrt (eps ("single")));
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199
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200 %!assert (gammainc (single (0:4), single (0.5), "upper"),
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201 %! single (1)-gammainc (single (0:4), single (0.5)),
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202 %! single (1e-7))
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203 */