X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fm%2Fstatistics%2Fdistributions%2Fexpinv.m;fp=octave_packages%2Fm%2Fstatistics%2Fdistributions%2Fexpinv.m;h=1f352b681be5b026a86176e67a2a533a80edb0ec;hp=0000000000000000000000000000000000000000;hb=1c0469ada9531828709108a4882a751d2816994a;hpb=63de9f36673d49121015e3695f2c336ea92bc278 diff --git a/octave_packages/m/statistics/distributions/expinv.m b/octave_packages/m/statistics/distributions/expinv.m new file mode 100644 index 0000000..1f352b6 --- /dev/null +++ b/octave_packages/m/statistics/distributions/expinv.m @@ -0,0 +1,95 @@ +## 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} {} expinv (@var{x}, @var{lambda}) +## For each element of @var{x}, compute the quantile (the inverse of the +## CDF) at @var{x} of the exponential distribution with mean @var{lambda}. +## @end deftypefn + +## Author: KH +## Description: Quantile function of the exponential distribution + +function inv = expinv (x, lambda) + + if (nargin != 2) + print_usage (); + endif + + if (!isscalar (lambda)) + [retval, x, lambda] = common_size (x, lambda); + if (retval > 0) + error ("expinv: X and LAMBDA must be of common size or scalars"); + endif + endif + + if (iscomplex (x) || iscomplex (lambda)) + error ("expinv: X and LAMBDA must not be complex"); + endif + + if (!isscalar (x)) + sz = size (x); + else + sz = size (lambda); + endif + + if (iscomplex (x) || iscomplex (lambda)) + error ("expinv: X and LAMBDA must not be complex"); + endif + + if (isa (x, "single") || isa (lambda, "single")) + inv = NaN (size (x), "single"); + else + inv = NaN (size (x)); + endif + + k = (x == 1) & (lambda > 0); + inv(k) = Inf; + + k = (x >= 0) & (x < 1) & (lambda > 0); + if isscalar (lambda) + inv(k) = - lambda * log (1 - x(k)); + else + inv(k) = - lambda(k) .* log (1 - x(k)); + endif + +endfunction + + +%!shared x +%! x = [-1 0 0.3934693402873666 1 2]; +%!assert(expinv (x, 2*ones(1,5)), [NaN 0 1 Inf NaN], eps); +%!assert(expinv (x, 2), [NaN 0 1 Inf NaN], eps); +%!assert(expinv (x, 2*[1 0 NaN 1 1]), [NaN NaN NaN Inf NaN], eps); +%!assert(expinv ([x(1:2) NaN x(4:5)], 2), [NaN 0 NaN Inf NaN], eps); + +%% Test class of input preserved +%!assert(expinv ([x, NaN], 2), [NaN 0 1 Inf NaN NaN], eps); +%!assert(expinv (single([x, NaN]), 2), single([NaN 0 1 Inf NaN NaN]), eps); +%!assert(expinv ([x, NaN], single(2)), single([NaN 0 1 Inf NaN NaN]), eps); + +%% Test input validation +%!error expinv () +%!error expinv (1) +%!error expinv (1,2,3) +%!error expinv (ones(3),ones(2)) +%!error expinv (ones(2),ones(3)) +%!error expinv (i, 2) +%!error expinv (2, i) +