X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fm%2Fstatistics%2Fdistributions%2Flaplace_inv.m;fp=octave_packages%2Fm%2Fstatistics%2Fdistributions%2Flaplace_inv.m;h=f437238cc4e8051d0bd6de9dd90087ffda238e7d;hp=0000000000000000000000000000000000000000;hb=1c0469ada9531828709108a4882a751d2816994a;hpb=63de9f36673d49121015e3695f2c336ea92bc278

diff --git a/octave_packages/m/statistics/distributions/laplace_inv.m b/octave_packages/m/statistics/distributions/laplace_inv.m
new file mode 100644
index 0000000..f437238
--- /dev/null
+++ b/octave_packages/m/statistics/distributions/laplace_inv.m
@@ -0,0 +1,64 @@
+## 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
+## <http://www.gnu.org/licenses/>.
+
+## -*- texinfo -*-
+## @deftypefn {Function File} {} laplace_inv (@var{x})
+## For each element of @var{x}, compute the quantile (the inverse of the
+## CDF) at @var{x} of the Laplace distribution.
+## @end deftypefn
+
+## Author: KH <Kurt.Hornik@wu-wien.ac.at>
+## Description: Quantile function of the Laplace distribution
+
+function inv = laplace_inv (x)
+
+  if (nargin != 1)
+    print_usage ();
+  endif
+
+  if (iscomplex (x))
+    error ("laplace_inv: X must not be complex");
+  endif
+
+  if (isa (x, "single"))
+    inv = NaN (size (x), "single");
+  else
+    inv = NaN (size (x));
+  endif
+
+  k = (x >= 0) & (x <= 1);
+  inv(k) = ((x(k) < 1/2) .* log (2 * x(k))
+            - (x(k) > 1/2) .* log (2 * (1 - x(k))));
+
+endfunction
+
+
+%!shared x
+%! x = [-1 0 0.5 1 2];
+%!assert(laplace_inv (x), [NaN -Inf 0 Inf NaN]);
+
+%% Test class of input preserved
+%!assert(laplace_inv ([x, NaN]), [NaN -Inf 0 Inf NaN NaN]);
+%!assert(laplace_inv (single([x, NaN])), single([NaN -Inf 0 Inf NaN NaN]));
+
+%% Test input validation
+%!error laplace_inv ()
+%!error laplace_inv (1,2)
+%!error laplace_inv (i)
+