annotate scripts/statistics/distributions/unifcdf.m @ 20644:4e307c55a2b5

Use isempty () rather than any () for faster code in inverse statistical distributions. betainv.m, binoinv.m, gaminv.m, poissinv.m: Use '! isempty (k)' rather than 'any (k)' for faster code.
author Rik <rik@octave.org>
date Sun, 11 Oct 2015 21:09:41 -0700
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} {} unifcdf (@var{x})
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22 ## @deftypefnx {Function File} {} unifcdf (@var{x}, @var{a}, @var{b})
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23 ## For each element of @var{x}, compute the cumulative distribution function
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24 ## (CDF) at @var{x} of the uniform distribution on the interval
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25 ## [@var{a}, @var{b}].
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26 ##
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27 ## Default values are @var{a} = 0, @var{b} = 1.
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28 ## @end deftypefn
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29
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30 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
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31 ## Description: CDF of the uniform distribution
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32
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33 function cdf = unifcdf (x, a = 0, b = 1)
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34
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35 if (nargin != 1 && nargin != 3)
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36 print_usage ();
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37 endif
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38
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39 if (! isscalar (a) || ! isscalar (b))
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40 [retval, x, a, b] = common_size (x, a, b);
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41 if (retval > 0)
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42 error ("unifcdf: X, A, and B must be of common size or scalars");
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43 endif
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44 endif
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45
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46 if (iscomplex (x) || iscomplex (a) || iscomplex (b))
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47 error ("unifcdf: X, A, and B must not be complex");
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48 endif
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49
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50 if (isa (x, "single") || isa (a, "single") || isa (b, "single"))
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51 cdf = zeros (size (x), "single");
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52 else
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53 cdf = zeros (size (x));
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54 endif
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55
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56 k = isnan (x) | !(a < b);
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57 cdf(k) = NaN;
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58
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59 k = (x >= b) & (a < b);
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60 cdf(k) = 1;
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61
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62 k = (x > a) & (x < b);
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63 if (isscalar (a) && isscalar (b))
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64 cdf(k) = (x(k) < b) .* (x(k) - a) / (b - a);
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65 else
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66 cdf(k) = (x(k) < b(k)) .* (x(k) - a(k)) ./ (b(k) - a(k));
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67 endif
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68
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69 endfunction
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71
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72 %!shared x,y
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73 %! x = [-1 0 0.5 1 2] + 1;
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74 %! y = [0 0 0.5 1 1];
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75 %!assert (unifcdf (x, ones (1,5), 2*ones (1,5)), y)
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76 %!assert (unifcdf (x, 1, 2*ones (1,5)), y)
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77 %!assert (unifcdf (x, ones (1,5), 2), y)
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78 %!assert (unifcdf (x, [2 1 NaN 1 1], 2), [NaN 0 NaN 1 1])
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79 %!assert (unifcdf (x, 1, 2*[0 1 NaN 1 1]), [NaN 0 NaN 1 1])
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80 %!assert (unifcdf ([x(1:2) NaN x(4:5)], 1, 2), [y(1:2) NaN y(4:5)])
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81
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82 ## Test class of input preserved
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83 %!assert (unifcdf ([x, NaN], 1, 2), [y, NaN])
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84 %!assert (unifcdf (single ([x, NaN]), 1, 2), single ([y, NaN]))
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85 %!assert (unifcdf ([x, NaN], single (1), 2), single ([y, NaN]))
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86 %!assert (unifcdf ([x, NaN], 1, single (2)), single ([y, NaN]))
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87
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88 ## Test input validation
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89 %!error unifcdf ()
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90 %!error unifcdf (1,2)
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91 %!error unifcdf (1,2,3,4)
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92 %!error unifcdf (ones (3), ones (2), ones (2))
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93 %!error unifcdf (ones (2), ones (3), ones (2))
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94 %!error unifcdf (ones (2), ones (2), ones (3))
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95 %!error unifcdf (i, 2, 2)
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96 %!error unifcdf (2, i, 2)
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97 %!error unifcdf (2, 2, i)
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98