function vl_printsize(varargin)
% VL_PRINTSIZE  Set the printing size of a figure
%   VL_PRINTSIZE(R) adjusts the PaperPosition property of the current
%   figure to make the figure paper width equal to R times the width
%   of a 'uslsetter' page, while preserving the aspect ratio of the
%   figure. Then, it sets the PaperSize property to match tightly the
%   size of the figure.
%
%   VL_PRINTSIZE(FIG,R) operates on the specified figure FIG. The
%   function accepts the following optional arguments:
%
%   AspectRatio:: []
%     Change the figure aspect ratio (width/height) to the specified
%     value.
%
%   Reference:: 'horizontal'
%     If set to 'horizontal', VL_PRINTSIZE(R) makes the width of the
%     figure equal to a fraction R of the width of the page. If set to
%     'vertical', the height is used instead.
%
%   PaperType:: 'usletter'
%     Set the type of the reference page to the specified type. Any of
%     the paper types supported by MATLAB can be used (see
%     PRINT()).
%
%   Margin:: 0
%     If greater than zero, VL_PRINTSIZE(R) leaves the specified
%     margin around the figure rather than fitting the paper size
%     tightly around it. The margin is expressed as a fraction of the
%     figure paper width (or height if Reference is set to
%     'vertical').
%
%   PRINTING FIGURES IN MATLAB
%
%   The standard procedure to include a MATLAB figure in a publication
%   consists in printing the figure to an EPS or PDF file (by using
%   the PRINT() function) and then rescaling it to the desired size in
%   the publication. PDF printing has the additional inconvenience
%   that large white margins are generated, and requires cropping the
%   figure too.
%
%   Unfortunately, rescalign a figure in this manner has the usually
%   unwanted effect of rescaling elements of the graphics such as font
%   sizes and line thicknesses. For example, a font which is 12pt in
%   the original MATLAB figure may become too large or too small after
%   rescaling.
%
%   The `proper' way of printing a figure is to specify its desired
%   size on paper before calling the PRINT() function. VL_PRINTSIZE()
%   helps doing so.
%
%   Margins are an additional nuances. When printing to certain
%   formats such as PDF, MATLAB prints in fact entire page (e.g. a
%   whole US Letter sheet), resulting in wide white margin all around
%   the figure. VL_PRINTSIZE() alleviates this problem by setting the
%   paper size to match the figure size tightly. This does not
%   eliminate margins completely, especially if the figure has
%   multiple subplots, but it is certainly a large improvement.
%
%   See also: VL_HELP().

% Author: Andrea Vedaldi

% Copyright (C) 2007-12 Andrea Vedaldi and Brian Fulkerson.
% Copyright (C) 2013 Andrea Vedaldi.
% All rights reserved.
%
% This file is part of the VLFeat library and is made available under
% the terms of the BSD license (see the COPYING file).

if length(varargin) >= 2 && isnumeric(varargin{2})
  % called with two numeric arguments
  fig = varargin{1} ;
  varargin(1) = [] ;
else
  fig = gcf ;
end

sizeRatio = varargin{1} ;
varargin(1) = [] ;

opts.aspectRatio = NaN ;
opts.reference = 'horizontal' ;
opts.paperType = 'usletter' ;
opts.margin = 0 ;
opts = vl_argparse(opts, varargin) ;

opts.reference = lower(opts.reference) ;
if ~ismember(opts.reference, {'horizontal', 'vertical'})
  error('Invalid value ''%s'' for the REFERENCE option', opts.reference) ;
end

% set the paper size to the reference type
if ~isempty(opts.paperType)
    set(fig, 'PaperType', opts.paperType) ;
end
paperSize = get(fig, 'PaperSize') ;

% get the current figure position to compute the current aspect ratio
position = get(fig, 'PaperPosition') ;

% if not specified, compute current aspect ratio
if isnan(opts.aspectRatio)
  opts.aspectRatio = position(3) / position(4) ;
end

% resize the figure
switch opts.reference
  case 'horizontal'
    s = paperSize(1) * sizeRatio ;
  case 'vertical'
    s = paperSize(2) * sizeRatio * opts.aspectRatio ;
end
position(3:4) =  s * [1 1/opts.aspectRatio] ;

% add margin
switch opts.reference
  case 'horizontal'
    position(1) = position(3) * opts.margin ;
    position(2) = position(3) * opts.margin ;
  case 'vertical'
    position(1) = position(4) * opts.margin ;
    position(2) = position(4) * opts.margin ;
end

set(fig, ...
  'PaperPosition', position, ...
  'PaperSize', 2 * position(1:2) + position(3:4)) ;

end