X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fm%2Fstatistics%2Fdistributions%2Funifpdf.m;fp=octave_packages%2Fm%2Fstatistics%2Fdistributions%2Funifpdf.m;h=f5902056999eb857e31e454e4c7045610fd79283;hp=0000000000000000000000000000000000000000;hb=1c0469ada9531828709108a4882a751d2816994a;hpb=63de9f36673d49121015e3695f2c336ea92bc278 diff --git a/octave_packages/m/statistics/distributions/unifpdf.m b/octave_packages/m/statistics/distributions/unifpdf.m new file mode 100644 index 0000000..f590205 --- /dev/null +++ b/octave_packages/m/statistics/distributions/unifpdf.m @@ -0,0 +1,93 @@ +## Copyright (C) 2012 Rik Wehbring +## Copyright (C) 1995-2012 Kurt Hornik +## +## This file is part of Octave. +## +## Octave is free software; you can redistribute it and/or modify it +## under the terms of the GNU General Public License as published by +## the Free Software Foundation; either version 3 of the License, or (at +## your option) any later version. +## +## Octave is distributed in the hope that it will be useful, but +## WITHOUT ANY WARRANTY; without even the implied warranty of +## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +## General Public License for more details. +## +## You should have received a copy of the GNU General Public License +## along with Octave; see the file COPYING. If not, see +## . + +## -*- texinfo -*- +## @deftypefn {Function File} {} unifpdf (@var{x}) +## @deftypefnx {Function File} {} unifpdf (@var{x}, @var{a}, @var{b}) +## For each element of @var{x}, compute the probability density function (PDF) +## at @var{x} of the uniform distribution on the interval [@var{a}, @var{b}]. +## +## Default values are @var{a} = 0, @var{b} = 1. +## @end deftypefn + +## Author: KH +## Description: PDF of the uniform distribution + +function pdf = unifpdf (x, a = 0, b = 1) + + if (nargin != 1 && nargin != 3) + print_usage (); + endif + + if (!isscalar (a) || !isscalar (b)) + [retval, x, a, b] = common_size (x, a, b); + if (retval > 0) + error ("unifpdf: X, A, and B must be of common size or scalars"); + endif + endif + + if (iscomplex (x) || iscomplex (a) || iscomplex (b)) + error ("unifpdf: X, A, and B must not be complex"); + endif + + if (isa (x, "single") || isa (a, "single") || isa (b, "single")) + pdf = zeros (size (x), "single"); + else + pdf = zeros (size (x)); + endif + + k = isnan (x) | !(a < b); + pdf(k) = NaN; + + k = (x >= a) & (x <= b) & (a < b); + if (isscalar (a) && isscalar (b)) + pdf(k) = 1 / (b - a); + else + pdf(k) = 1 ./ (b(k) - a(k)); + endif + +endfunction + + +%!shared x,y +%! x = [-1 0 0.5 1 2] + 1; +%! y = [0 1 1 1 0]; +%!assert(unifpdf (x, ones(1,5), 2*ones(1,5)), y); +%!assert(unifpdf (x, 1, 2*ones(1,5)), y); +%!assert(unifpdf (x, ones(1,5), 2), y); +%!assert(unifpdf (x, [2 NaN 1 1 1], 2), [NaN NaN y(3:5)]); +%!assert(unifpdf (x, 1, 2*[0 NaN 1 1 1]), [NaN NaN y(3:5)]); +%!assert(unifpdf ([x, NaN], 1, 2), [y, NaN]); + +%% Test class of input preserved +%!assert(unifpdf (single([x, NaN]), 1, 2), single([y, NaN])); +%!assert(unifpdf (single([x, NaN]), single(1), 2), single([y, NaN])); +%!assert(unifpdf ([x, NaN], 1, single(2)), single([y, NaN])); + +%% Test input validation +%!error unifpdf () +%!error unifpdf (1,2) +%!error unifpdf (1,2,3,4) +%!error unifpdf (ones(3),ones(2),ones(2)) +%!error unifpdf (ones(2),ones(3),ones(2)) +%!error unifpdf (ones(2),ones(2),ones(3)) +%!error unifpdf (i, 2, 2) +%!error unifpdf (2, i, 2) +%!error unifpdf (2, 2, i) +