update packages

[CreaPhase.git] / octave_packages / m / statistics / distributions / chi2inv.m

diff --git a/octave_packages/m/statistics/distributions/chi2inv.m b/octave_packages/m/statistics/distributions/chi2inv.m
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+## 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} {} chi2inv (@var{x}, @var{n})
+## For each element of @var{x}, compute the quantile (the inverse of the
+## CDF) at @var{x} of the chi-square distribution with @var{n} degrees of
+## freedom.
+## @end deftypefn
+
+## Author: TT <Teresa.Twaroch@ci.tuwien.ac.at>
+## Description: Quantile function of the chi-square distribution
+
+function inv = chi2inv (x, n)
+
+  if (nargin != 2)
+    print_usage ();
+  endif
+
+  if (!isscalar (n))
+    [retval, x, n] = common_size (x, n);
+    if (retval > 0)
+      error ("chi2inv: X and N must be of common size or scalars");
+    endif
+  endif
+
+  if (iscomplex (x) || iscomplex (n))
+    error ("chi2inv: X and N must not be complex");
+  endif
+
+  inv = gaminv (x, n/2, 2);
+
+endfunction
+
+
+%!shared x
+%! x = [-1 0 0.3934693402873666 1 2];
+%!assert(chi2inv (x, 2*ones(1,5)), [NaN 0 1 Inf NaN], 5*eps);
+%!assert(chi2inv (x, 2), [NaN 0 1 Inf NaN], 5*eps);
+%!assert(chi2inv (x, 2*[0 1 NaN 1 1]), [NaN 0 NaN Inf NaN], 5*eps);
+%!assert(chi2inv ([x(1:2) NaN x(4:5)], 2), [NaN 0 NaN Inf NaN], 5*eps);
+
+%% Test class of input preserved
+%!assert(chi2inv ([x, NaN], 2), [NaN 0 1 Inf NaN NaN], 5*eps);
+%!assert(chi2inv (single([x, NaN]), 2), single([NaN 0 1 Inf NaN NaN]), 5*eps("single"));
+%!assert(chi2inv ([x, NaN], single(2)), single([NaN 0 1 Inf NaN NaN]), 5*eps("single"));
+
+%% Test input validation
+%!error chi2inv ()
+%!error chi2inv (1)
+%!error chi2inv (1,2,3)
+%!error chi2inv (ones(3),ones(2))
+%!error chi2inv (ones(2),ones(3))
+%!error chi2inv (i, 2)
+%!error chi2inv (2, i)
+