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

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) 1996-2015 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} {} discrete_pdf (@var{x}, @var{v}, @var{p})
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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 a univariate discrete distribution which assumes the values
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24 ## in @var{v} with probabilities @var{p}.
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25 ## @end deftypefn
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26
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27 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
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28 ## Description: PDF of a discrete distribution
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29
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30 function pdf = discrete_pdf (x, v, p)
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31
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32 if (nargin != 3)
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33 print_usage ();
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34 endif
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35
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36 if (! isvector (v))
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37 error ("discrete_pdf: V must be a vector");
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38 elseif (any (isnan (v)))
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39 error ("discrete_pdf: V must not have any NaN elements");
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40 elseif (! isvector (p) || (length (p) != length (v)))
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41 error ("discrete_pdf: P must be a vector with length (V) elements");
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42 elseif (! (all (p >= 0) && any (p)))
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43 error ("discrete_pdf: P must be a nonzero, non-negative vector");
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44 endif
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45
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46 ## Reshape and normalize probability vector. Values not in table get 0 prob.
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47 p = [0 ; p(:)/sum(p)];
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48
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49 if (isa (x, "single") || isa (v, "single") || isa (p, "single"))
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50 pdf = NaN (size (x), "single");
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51 else
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52 pdf = NaN (size (x));
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53 endif
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54
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55 k = ! isnan (x);
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56 [vs, vi] = sort (v(:));
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57 pdf(k) = p([0 ; vi](lookup (vs, x(k), 'm') + 1) + 1);
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58
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59 endfunction
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60
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61
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62 %!shared x,v,p,y
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63 %! x = [-1 0.1 1.1 1.9 3];
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64 %! v = 0.1:0.2:1.9;
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65 %! p = 1/length (v) * ones (1, length (v));
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66 %! y = [0 0.1 0.1 0.1 0];
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67 %!assert (discrete_pdf ([x, NaN], v, p), [y, NaN], 5*eps)
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68
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69 ## Test class of input preserved
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70 %!assert (discrete_pdf (single ([x, NaN]), v, p), single ([y, NaN]), 5*eps ("single"))
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71 %!assert (discrete_pdf ([x, NaN], single (v), p), single ([y, NaN]), 5*eps ("single"))
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72 %!assert (discrete_pdf ([x, NaN], v, single (p)), single ([y, NaN]), 5*eps ("single"))
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73
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74 ## Test input validation
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75 %!error discrete_pdf ()
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76 %!error discrete_pdf (1)
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77 %!error discrete_pdf (1,2)
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78 %!error discrete_pdf (1,2,3,4)
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79 %!error discrete_pdf (1, ones (2), ones (2,1))
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80 %!error discrete_pdf (1, [1 ; NaN], ones (2,1))
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81 %!error discrete_pdf (1, ones (2,1), ones (1,1))
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82 %!error discrete_pdf (1, ones (2,1), [1 -1])
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83 %!error discrete_pdf (1, ones (2,1), [1 NaN])
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84 %!error discrete_pdf (1, ones (2,1), [0 0])
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85