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annotate scripts/statistics/distributions/stdnormal_pdf.m @ 20641:c3c052b9192a

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Improve performance and error reporting of betainv, gaminv (bug #34363). * betainv.m: Replace for loop with do-until loop. Shorten max loop cycles to 40, rather than 10,000. Issue warning if algorithm fails. * gaminv.m: Replace for loop with do-until loop. Shorten max loop cycles to 40, rather than 100. Issue warning if algorithm fails.
author Rik <rik@octave.org>
date Sun, 11 Oct 2015 16:55:17 -0700
parents d9341b422488
children
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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_pdf (@var{x})
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22 ## For each element of @var{x}, compute the probability density function (PDF)
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23 ## 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: TT <Teresa.Twaroch@ci.tuwien.ac.at>
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28 ## Description: PDF of the standard normal distribution
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29
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30 function pdf = stdnormal_pdf (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_pdf: X must not be complex");
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38 endif
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39
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40 pdf = (2 * pi)^(- 1/2) * exp (- x .^ 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 = 1/sqrt(2*pi)*exp (-x.^2/2);
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48 %!assert (stdnormal_pdf ([x, NaN]), [y, NaN], eps)
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49
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50 ## Test class of input preserved
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51 %!assert (stdnormal_pdf (single ([x, NaN])), single ([y, NaN]), eps ("single"))
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52
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53 ## Test input validation
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54 %!error stdnormal_pdf ()
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55 %!error stdnormal_pdf (1,2)
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56 %!error stdnormal_pdf (i)
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