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annotate scripts/statistics/distributions/poisscdf.m @ 20654: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} {} poisscdf (@var{x}, @var{lambda})
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22 ## For each element of @var{x}, compute the cumulative distribution function
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23 ## (CDF) at @var{x} of the Poisson distribution with parameter @var{lambda}.
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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: CDF of the Poisson distribution
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28
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29 function cdf = poisscdf (x, lambda)
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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 (lambda))
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36 [retval, x, lambda] = common_size (x, lambda);
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37 if (retval > 0)
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38 error ("poisscdf: X and LAMBDA 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 (lambda))
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43 error ("poisscdf: X and LAMBDA 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 (lambda, "single"))
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47 cdf = zeros (size (x), "single");
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48 else
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49 cdf = zeros (size (x));
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50 endif
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51
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52 k = isnan (x) | !(lambda > 0);
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53 cdf(k) = NaN;
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54
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55 k = (x == Inf) & (lambda > 0);
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56 cdf(k) = 1;
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57
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58 k = (x >= 0) & (x < Inf) & (lambda > 0);
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59 if (isscalar (lambda))
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60 cdf(k) = 1 - gammainc (lambda, floor (x(k)) + 1);
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61 else
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62 cdf(k) = 1 - gammainc (lambda(k), floor (x(k)) + 1);
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63 endif
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64
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65 endfunction
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66
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67
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68 %!shared x,y
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69 %! x = [-1 0 1 2 Inf];
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70 %! y = [0, gammainc(1, (x(2:4) +1), "upper"), 1];
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71 %!assert (poisscdf (x, ones (1,5)), y)
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72 %!assert (poisscdf (x, 1), y)
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73 %!assert (poisscdf (x, [1 0 NaN 1 1]), [y(1) NaN NaN y(4:5)])
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74 %!assert (poisscdf ([x(1:2) NaN Inf x(5)], 1), [y(1:2) NaN 1 y(5)])
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75
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76 ## Test class of input preserved
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77 %!assert (poisscdf ([x, NaN], 1), [y, NaN])
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78 %!assert (poisscdf (single ([x, NaN]), 1), single ([y, NaN]), eps ("single"))
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79 %!assert (poisscdf ([x, NaN], single (1)), single ([y, NaN]), eps ("single"))
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80
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81 ## Test input validation
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82 %!error poisscdf ()
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83 %!error poisscdf (1)
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84 %!error poisscdf (1,2,3)
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85 %!error poisscdf (ones (3), ones (2))
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86 %!error poisscdf (ones (2), ones (3))
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87 %!error poisscdf (i, 2)
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88 %!error poisscdf (2, i)
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89