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maint: update copyright notices for 2012
author John W. Eaton <jwe@octave.org>
date Mon, 02 Jan 2012 14:25:41 -0500
parents 19b9f17d22af
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14138
72c96de7a403 maint: update copyright notices for 2012
John W. Eaton <jwe@octave.org>
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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} {} betacdf (@var{x}, @var{a}, @var{b})
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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 Beta distribution with parameters @var{a} and
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24 ## @var{b}.
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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: CDF of the Beta distribution
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29
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30 function cdf = betacdf (x, a, b)
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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 (!isscalar (a) || !isscalar (b))
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37 [retval, x, a, b] = common_size (x, a, b);
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38 if (retval > 0)
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39 error ("betacdf: X, A, and B must be of common size or scalars");
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40 endif
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41 endif
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42
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43 if (iscomplex (x) || iscomplex (a) || iscomplex (b))
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44 error ("betacdf: X, A, and B must not be complex");
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45 endif
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46
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47 if (isa (x, "single") || isa (a, "single") || isa (b, "single"))
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48 cdf = zeros (size (x), "single");
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49 else
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50 cdf = zeros (size (x));
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51 endif
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52
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53 k = isnan (x) | !(a > 0) | !(b > 0);
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54 cdf(k) = NaN;
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55
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56 k = (x >= 1) & (a > 0) & (b > 0);
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57 cdf(k) = 1;
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58
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59 k = (x > 0) & (x < 1) & (a > 0) & (b > 0);
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60 if (isscalar (a) && isscalar (b))
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61 cdf(k) = betainc (x(k), a, b);
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62 else
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63 cdf(k) = betainc (x(k), a(k), b(k));
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64 endif
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65
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66 endfunction
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67
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68
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69 %!shared x,y
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70 %! x = [-1 0 0.5 1 2];
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71 %! y = [0 0 0.75 1 1];
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72 %!assert(betacdf (x, ones(1,5), 2*ones(1,5)), y);
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73 %!assert(betacdf (x, 1, 2*ones(1,5)), y);
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74 %!assert(betacdf (x, ones(1,5), 2), y);
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75 %!assert(betacdf (x, [0 1 NaN 1 1], 2), [NaN 0 NaN 1 1]);
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76 %!assert(betacdf (x, 1, 2*[0 1 NaN 1 1]), [NaN 0 NaN 1 1]);
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77 %!assert(betacdf ([x(1:2) NaN x(4:5)], 1, 2), [y(1:2) NaN y(4:5)]);
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78
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79 %% Test class of input preserved
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80 %!assert(betacdf ([x, NaN], 1, 2), [y, NaN]);
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81 %!assert(betacdf (single([x, NaN]), 1, 2), single([y, NaN]));
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82 %!assert(betacdf ([x, NaN], single(1), 2), single([y, NaN]));
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83 %!assert(betacdf ([x, NaN], 1, single(2)), single([y, NaN]));
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84
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85 %% Test input validation
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86 %!error betacdf ()
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87 %!error betacdf (1)
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88 %!error betacdf (1,2)
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89 %!error betacdf (1,2,3,4)
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90 %!error betacdf (ones(3),ones(2),ones(2))
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91 %!error betacdf (ones(2),ones(3),ones(2))
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92 %!error betacdf (ones(2),ones(2),ones(3))
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93