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annotate scripts/statistics/distributions/laplace_inv.m @ 20830:b65888ec820e draft default tip gccjit

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dmalcom gcc jit import
author Stefan Mahr <dac922@gmx.de>
date Fri, 27 Feb 2015 16:59:36 +0100
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} {} laplace_inv (@var{x})
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22 ## For each element of @var{x}, compute the quantile (the inverse of the CDF)
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23 ## at @var{x} of the Laplace distribution.
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24 ## @end deftypefn
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26 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
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27 ## Description: Quantile function of the Laplace distribution
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29 function inv = laplace_inv (x)
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31 if (nargin != 1)
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32 print_usage ();
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33 endif
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34
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35 if (iscomplex (x))
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36 error ("laplace_inv: X must not be complex");
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37 endif
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39 if (isa (x, "single"))
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40 inv = NaN (size (x), "single");
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41 else
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42 inv = NaN (size (x));
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43 endif
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44
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45 k = (x >= 0) & (x <= 1);
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46 inv(k) = ((x(k) < 1/2) .* log (2 * x(k))
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47 - (x(k) > 1/2) .* log (2 * (1 - x(k))));
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48
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49 endfunction
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51
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52 %!shared x
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53 %! x = [-1 0 0.5 1 2];
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54 %!assert (laplace_inv (x), [NaN -Inf 0 Inf NaN])
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56 ## Test class of input preserved
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57 %!assert (laplace_inv ([x, NaN]), [NaN -Inf 0 Inf NaN NaN])
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58 %!assert (laplace_inv (single ([x, NaN])), single ([NaN -Inf 0 Inf NaN NaN]))
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59
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60 ## Test input validation
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61 %!error laplace_inv ()
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62 %!error laplace_inv (1,2)
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63 %!error laplace_inv (i)
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64