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annotate scripts/statistics/distributions/stdnormal_cdf.m @ 20038:9fc020886ae9

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maint: Clean up m-files to follow Octave coding conventions. Try to trim long lines to < 80 chars. Use '##' for single line comments. Use '(...)' around tests for if/elseif/switch/while. Abut cell indexing operator '{' next to variable. Abut array indexing operator '(' next to variable. Use space between negation operator '!' and following expression. Use two newlines between endfunction and start of %!test or %!demo code. Remove unnecessary parens grouping between short-circuit operators. Remove stray extra spaces (typos) between variables and assignment operators. Remove stray extra spaces from ends of lines.
author Rik <rik@octave.org>
date Mon, 23 Feb 2015 14:54:39 -0800
parents 4197fc428c7d
children d9341b422488
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1 ## Copyright (C) 2012 Rik Wehbring
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2 ## Copyright (C) 1995-2015 Kurt Hornik
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3 ##
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4 ## This file is part of Octave.
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5 ##
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6 ## Octave is free software; you can redistribute it and/or modify it
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7 ## under the terms of the GNU General Public License as published by
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8 ## the Free Software Foundation; either version 3 of the License, or (at
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9 ## your option) any later version.
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10 ##
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11 ## Octave is distributed in the hope that it will be useful, but
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12 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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14 ## General Public License for more details.
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15 ##
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16 ## You should have received a copy of the GNU General Public License
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17 ## along with Octave; see the file COPYING. If not, see
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18 ## <http://www.gnu.org/licenses/>.
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19
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20 ## -*- texinfo -*-
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21 ## @deftypefn {Function File} {} stdnormal_cdf (@var{x})
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22 ## For each element of @var{x}, compute the cumulative distribution
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23 ## function (CDF) at @var{x} of the standard normal distribution
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24 ## (mean = 0, standard deviation = 1).
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25 ## @end deftypefn
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27 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
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28 ## Description: CDF of the standard normal distribution
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29
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30 function cdf = stdnormal_cdf (x)
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31
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32 if (nargin != 1)
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33 print_usage ();
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34 endif
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35
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36 if (iscomplex (x))
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37 error ("stdnormal_cdf: X must not be complex");
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38 endif
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39
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40 cdf = erfc (x / (-sqrt(2))) / 2;
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41
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42 endfunction
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45 %!shared x,y
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46 %! x = [-Inf 0 1 Inf];
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47 %! y = [0, 0.5, 1/2*(1+erf(1/sqrt(2))), 1];
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48 %!assert (stdnormal_cdf ([x, NaN]), [y, NaN])
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49
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50 ## Test class of input preserved
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51 %!assert (stdnormal_cdf (single ([x, NaN])), single ([y, NaN]), eps ("single"))
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53 ## Test input validation
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54 %!error stdnormal_cdf ()
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55 %!error stdnormal_cdf (1,2)
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56 %!error stdnormal_cdf (i)
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