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## -*- texinfo -*-
## @deftypefn  {} {@var{y} =} movmedian (@var{x}, @var{wlen})
## @deftypefnx {} {@var{y} =} movmedian (@var{x}, [@var{nb}, @var{na}])
## @deftypefnx {} {@var{y} =} movmedian (@dots{}, @var{dim})
## @deftypefnx {} {@var{y} =} movmedian (@dots{}, @var{nancond})
## @deftypefnx {} {@var{y} =} movmedian (@dots{}, @var{property}, @var{value})
## Calculate the moving median over a sliding window of length @var{wlen} on
## data @var{x}.
##
## The moving window length input @var{wlen} can either be a numeric scalar
## or a 2-element numeric array @w{@code{[@var{nb}, @var{na}]}}.  The elements
## included in the moving window depend on the size and value of @var{wlen}
## as well as whether the @qcode{"SamplePoints"} option has been specified.
## For full details of element inclusion,
## @pxref{XREFmovslice,,@code{movslice}}.
##
## If the optional argument @var{dim} is given, operate along this dimension.
##
## The optional argument @var{nancond} is a string that controls how @code{NaN}
## and @code{NA} values affect the output of @qcode{"movmedian"}.  The value
## @qcode{"includenan"} (default) causes @code{NaN} and @code{NA} values to be
## included in the moving window, and any window slice containing @code{NaN} or
## @code{NA} values will return @code{NaN} for that element.  The value
## @qcode{"omitnan"} causes @qcode{"movmedian"} to ignore any @code{NaN}
## or @code{NA} values resulting in fewer elements being used to calculate the
## median for that window slice.  If @qcode{"omitnan"} is specified and a
## window slice contains all @code{NaN} or @code{NA} values,
## @qcode{"movmedian"} returns @code{NaN} for that element.  The values
## @qcode{"includemissing"} and @qcode{"omitmissing"} may be used
## synonymously with @qcode{"includenan"} and @qcode{"omitnan"},
## respectively.
##
## The calculation can be controlled by specifying @var{property}/@var{value}
## pairs.  Valid properties are @qcode{"Endpoints"} and
## @qcode{"SamplePoints"}.  For full descriptions of these properties and
## valid options, @pxref{XREFmovfun,,@code{movfun}}.
##
## Programming Note: This function is a wrapper which calls @code{movfun}.
## For full documentation of inputs and options,
## @pxref{XREFmovfun,,@code{movfun}}.
##
## @seealso{median, movfun, movslice, movmad, movmax, movmean, movmin,
## movprod, movstd, movsum, movvar}
## @end deftypefn

function y = movmedian (x, wlen, varargin)

  if (nargin < 2)
    print_usage ();
  endif

  y = movfun (@median, x, wlen, __parse_movargs__ ("movmedian", varargin{:}){:});

endfunction


%!assert (movmedian (1:5, 3), [1.5, 2, 3, 4, 4.5], eps)
%!assert (movmedian (1:5, [1, 1]), [1.5, 2, 3, 4, 4.5], eps)
%!assert (movmedian (1:5, 3, 2), [1.5, 2, 3, 4, 4.5], eps)
%!assert <*65928> (movmedian (1:5, 3, 1), 1:5)
%!assert <*65928> (movmedian (1:5, 3, 3), 1:5)

%!assert (movmedian (magic (4), 3),
%!        [10.5, 6.5, 6.5, 10.5; 9, 7, 6, 12; ...
%!         5, 11, 10, 8; 6.5, 10.5, 10.5, 6.5], eps)
%!assert (movmedian (magic (4), 3, 1),
%!        [10.5, 6.5, 6.5, 10.5; 9, 7, 6, 12; ...
%!         5, 11, 10, 8; 6.5, 10.5, 10.5, 6.5], eps)
%!assert (movmedian (magic (4), 3, 2),
%!        [9, 3, 3, 8; 8, 10, 10, 9; 8, 7, 7, 9; 9, 14, 14, 8])
%!assert <*65928> (movmedian (magic (4), 3, 3), magic (4))

%!assert <*55241> (movmedian ((1:10).', 3), [1.5; (2:9).'; 9.5], eps)

%!assert <66156> (movmedian ([1:4, NaN(1,3), 8:10], 3), movmedian ([1:4, NaN(1,3), 8:10], 3, "includenan"))
%!assert <66156> (movmedian ([1:4, NaN(1,3), 8:10], 3, "includenan"), [1.5, 2, 3, NaN(1,5), 9, 9.5], eps)
%!assert <66156> (movmedian ([1:4, NaN(1,3), 8:10], 3, "omitnan"), [1.5, 2, 3, 3.5, 4, NaN, 8, 8.5, 9, 9.5], eps)

## Test input validation
%!error <Invalid call> movmedian ()
%!error <Invalid call> movmedian (1)
