Mercurial > octave-nkf
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> |
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date | Sun, 11 Oct 2015 21:09:41 -0700 |
parents | d9341b422488 |
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1 ## Copyright (C) 2012 Rik Wehbring |
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2 ## Copyright (C) 1995-2015 Kurt Hornik |
5410 | 3 ## |
4 ## This file is part of Octave. | |
5 ## | |
6 ## Octave is free software; you can redistribute it and/or modify it | |
7 ## under the terms of the GNU General Public License as published by | |
7016 | 8 ## the Free Software Foundation; either version 3 of the License, or (at |
9 ## your option) any later version. | |
5410 | 10 ## |
11 ## Octave is distributed in the hope that it will be useful, but | |
12 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
14 ## General Public License for more details. | |
15 ## | |
16 ## You should have received a copy of the GNU General Public License | |
7016 | 17 ## along with Octave; see the file COPYING. If not, see |
18 ## <http://www.gnu.org/licenses/>. | |
5410 | 19 |
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}]. |
5410 | 26 ## |
27 ## Default values are @var{a} = 0, @var{b} = 1. | |
28 ## @end deftypefn | |
29 | |
5428 | 30 ## Author: KH <Kurt.Hornik@wu-wien.ac.at> |
5410 | 31 ## Description: CDF of the uniform distribution |
32 | |
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33 function cdf = unifcdf (x, a = 0, b = 1) |
5410 | 34 |
35 if (nargin != 1 && nargin != 3) | |
6046 | 36 print_usage (); |
5410 | 37 endif |
38 | |
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39 if (! isscalar (a) || ! isscalar (b)) |
5410 | 40 [retval, x, a, b] = common_size (x, a, b); |
41 if (retval > 0) | |
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42 error ("unifcdf: X, A, and B must be of common size or scalars"); |
5410 | 43 endif |
44 endif | |
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 |
5410 | 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)); |
5410 | 54 endif |
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)); |
5410 | 67 endif |
68 | |
69 endfunction | |
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70 |
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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 |