X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?a=blobdiff_plain;f=octave_packages%2Fm%2Fstatistics%2Fdistributions%2Fstdnormal_cdf.m;fp=octave_packages%2Fm%2Fstatistics%2Fdistributions%2Fstdnormal_cdf.m;h=1de4ae0ccf231817288224cf21003c348d53c5c8;hb=1c0469ada9531828709108a4882a751d2816994a;hp=0000000000000000000000000000000000000000;hpb=63de9f36673d49121015e3695f2c336ea92bc278;p=CreaPhase.git diff --git a/octave_packages/m/statistics/distributions/stdnormal_cdf.m b/octave_packages/m/statistics/distributions/stdnormal_cdf.m new file mode 100644 index 0000000..1de4ae0 --- /dev/null +++ b/octave_packages/m/statistics/distributions/stdnormal_cdf.m @@ -0,0 +1,57 @@ +## 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} {} stdnormal_cdf (@var{x}) +## For each element of @var{x}, compute the cumulative distribution +## function (CDF) at @var{x} of the standard normal distribution +## (mean = 0, standard deviation = 1). +## @end deftypefn + +## Author: KH +## Description: CDF of the standard normal distribution + +function cdf = stdnormal_cdf (x) + + if (nargin != 1) + print_usage (); + endif + + if (iscomplex (x)) + error ("stdnormal_cdf: X must not be complex"); + endif + + cdf = erfc (x / (-sqrt(2))) / 2; + +endfunction + + +%!shared x,y +%! x = [-Inf 0 1 Inf]; +%! y = [0, 0.5, 1/2*(1+erf(1/sqrt(2))), 1]; +%!assert(stdnormal_cdf ([x, NaN]), [y, NaN]); + +%% Test class of input preserved +%!assert(stdnormal_cdf (single([x, NaN])), single([y, NaN]), eps("single")); + +%% Test input validation +%!error stdnormal_cdf () +%!error stdnormal_cdf (1,2) +%!error stdnormal_cdf (i) +