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annotate scripts/statistics/distributions/geoinv.m @ 17328:ea23eb07f8ed

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Add missing TeX symbols and fix few others (bug #39828). * libinterp/corefcn/oct-tex-lexer.ll (ID): Allow digit characters. * libinterp/corefcn/txt-eng.cc (symbol_names): Add "angle", "ast", "sim", "Leftarrow" and "Rightarrow". (symbol_codes): Likewise. Fix unicode values for symbols "langle" and "rangle".
author Michael Goffioul <michael.goffioul@gmail.com>
date Fri, 23 Aug 2013 11:47:04 -0400
parents f3d52523cde1
children 6643f21e27f3
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1 ## Copyright (C) 2012 Rik Wehbring
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2 ## Copyright (C) 1995-2012 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} {} geoinv (@var{x}, @var{p})
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22 ## For each element of @var{x}, compute the quantile (the inverse of
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23 ## the CDF) at @var{x} of the geometric distribution with parameter @var{p}.
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24 ## @end deftypefn
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25
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26 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
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27 ## Description: Quantile function of the geometric distribution
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28
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29 function inv = geoinv (x, p)
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30
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31 if (nargin != 2)
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32 print_usage ();
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33 endif
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34
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35 if (!isscalar (p))
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36 [retval, x, p] = common_size (x, p);
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37 if (retval > 0)
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38 error ("geoinv: X and P must be of common size or scalars");
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39 endif
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40 endif
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41
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42 if (iscomplex (x) || iscomplex (p))
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43 error ("geoinv: X and P must not be complex");
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44 endif
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45
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46 if (isa (x, "single") || isa (p, "single"))
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47 inv = NaN (size (x), "single");
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48 else
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49 inv = NaN (size (x));
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50 endif
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51
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52 k = (x == 1) & (p >= 0) & (p <= 1);
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53 inv(k) = Inf;
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54
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55 k = (x >= 0) & (x < 1) & (p > 0) & (p <= 1);
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56 if (isscalar (p))
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57 inv(k) = max (ceil (log (1 - x(k)) / log (1 - p)) - 1, 0);
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58 else
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59 inv(k) = max (ceil (log (1 - x(k)) ./ log (1 - p(k))) - 1, 0);
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60 endif
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61
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62 endfunction
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63
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64
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65 %!shared x
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66 %! x = [-1 0 0.75 1 2];
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67 %!assert (geoinv (x, 0.5*ones (1,5)), [NaN 0 1 Inf NaN])
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68 %!assert (geoinv (x, 0.5), [NaN 0 1 Inf NaN])
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69 %!assert (geoinv (x, 0.5*[1 -1 NaN 4 1]), [NaN NaN NaN NaN NaN])
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70 %!assert (geoinv ([x(1:2) NaN x(4:5)], 0.5), [NaN 0 NaN Inf NaN])
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71
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72 %% Test class of input preserved
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73 %!assert (geoinv ([x, NaN], 0.5), [NaN 0 1 Inf NaN NaN])
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74 %!assert (geoinv (single ([x, NaN]), 0.5), single ([NaN 0 1 Inf NaN NaN]))
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75 %!assert (geoinv ([x, NaN], single (0.5)), single ([NaN 0 1 Inf NaN NaN]))
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76
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77 %% Test input validation
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78 %!error geoinv ()
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79 %!error geoinv (1)
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80 %!error geoinv (1,2,3)
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81 %!error geoinv (ones (3), ones (2))
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82 %!error geoinv (ones (2), ones (3))
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83 %!error geoinv (i, 2)
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84 %!error geoinv (2, i)
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85