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/usr/share/octave/packages/geometry-1.7.0/geom2d/drawOrientedBox.m is in octave-geometry 1.7.0-1build1.

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## Copyright (C) 2004-2011 David Legland <david.legland@grignon.inra.fr>
## Copyright (C) 2004-2011 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas)
## Copyright (C) 2012 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
## All rights reserved.
## 
## Redistribution and use in source and binary forms, with or without
## modification, are permitted provided that the following conditions are met:
## 
##     1 Redistributions of source code must retain the above copyright notice,
##       this list of conditions and the following disclaimer.
##     2 Redistributions in binary form must reproduce the above copyright
##       notice, this list of conditions and the following disclaimer in the
##       documentation and/or other materials provided with the distribution.
## 
## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
## IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR
## ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
## SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
## OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

## -*- texinfo -*-
## @deftypefn {Function File} {@var{hb} = } drawOrientedBox (@var{box})
## @deftypefnx {Function File} {@var{hb} = } drawOrientedBox (@dots{}, @var{param}, @var{value})
## Draw centered oriented rectangle.
##   
##   Syntax
##   drawOrientedBox(BOX)
##   drawOrientedBox(BOX, 'PropertyName', propertyvalue, ...)
##
##   Description
##   drawOrientedBox(OBOX)
##   Draws an oriented rectangle (or bounding box) on the current axis. 
##   OBOX is a 1-by-5 row vector containing box center, dimension (length
##   and width) and orientation (in degrees): 
##   OBOX = [CX CY LENGTH WIDTH THETA].
##
##   When OBOX is a N-by-5 array, the N boxes are drawn.
##
##   HB = drawOrientedBox(...) 
##   Returns a handle to the created graphic object(s). Object style can be
##   modified using syntaw like:
##   set(HB, 'color', 'g', 'linewidth', 2);
##
##   @seealso{drawPolygon, drawRect, drawBox}
## @end deftypefn

function varargout = drawOrientedBox(box, varargin)

  ## Parses input arguments

  if nargin > 4 && sum(cellfun(@isnumeric, varargin(1:4))) == 4
      cx  = box;
      cy  = varargin{1};
      hl   = varargin{2} / 2;
      hw   = varargin{3} / 2;
      theta   = varargin{4};
      varargin = varargin(5:end);
  else
      cx  = box(:,1);
      cy  = box(:,2);
      hl   = box(:,3) / 2;
      hw   = box(:,4) / 2;
      theta = box(:,5);
  end


  ## Draw each box

  # allocate memory for graphical handle
  hr = zeros(length(cx), 1);

  # iterate on oriented boxes
  for i = 1:length(cx)
      # pre-compute angle data
      cot = cosd(theta(i));
      sit = sind(theta(i));
      
      # x and y shifts
      lc = hl(i) * cot;
      ls = hl(i) * sit;
      wc = hw(i) * cot;
      ws = hw(i) * sit;

      # coordinates of box vertices
      vx = cx(i) + [-lc + ws; lc + ws ; lc - ws ; -lc - ws ; -lc + ws];
      vy = cy(i) + [-ls - wc; ls - wc ; ls + wc ; -ls + wc ; -ls - wc];

      # draw polygons
      hr(i) = line(vx, vy, varargin{:});
  end


  ## Format output

  if nargout > 0
      varargout = {hr};
  end
  
endfunction