Add a useful package (from Source forge) for octave

[CreaPhase.git] / octave_packages / geometry-1.5.0 / geom2d / circleArcAsCurve.m

diff --git a/octave_packages/geometry-1.5.0/geom2d/circleArcAsCurve.m b/octave_packages/geometry-1.5.0/geom2d/circleArcAsCurve.m
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+++ b/octave_packages/geometry-1.5.0/geom2d/circleArcAsCurve.m
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+%% Copyright (c) 2011, INRA
+%% 2006-2011, David Legland <david.legland@grignon.inra.fr>
+%% 2011 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
+%%
+%% All rights reserved.
+%% (simplified BSD License)
+%%
+%% 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 COPYRIGHT HOLDER 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.
+%%
+%% The views and conclusions contained in the software and documentation are
+%% those of the authors and should not be interpreted as representing official
+%% policies, either expressed or implied, of copyright holder.
+
+%% -*- texinfo -*-
+%% @deftypefn {Function File} {@var{p} = } circleArcAsCurve (@var{arc}, @var{N})
+%% Convert a circle arc into a series of points
+%%
+%%   P = circleArcAsCurve(ARC, N);
+%%   convert the circle ARC into a series of N points. 
+%%   ARC is given in the format: [XC YC R THETA1 DTHETA]
+%%   where XC and YC define the center of the circle, R its radius, THETA1
+%%   is the start of the arc and DTHETA is the angle extent of the arc. Both
+%%   angles are given in degrees. 
+%%   N is the number of vertices of the resulting polyline, default is 65.
+%%
+%%   The result is a N-by-2 array containing coordinates of the N points. 
+%%
+%%   [X Y] = circleArcAsCurve(ARC, N);
+%%   Return the result in two separate arrays with N lines and 1 column.
+%%
+%%
+%%   @seealso{circles2d, circleAsPolygon, drawCircle, drawPolygon}
+%% @end deftypefn
+
+function varargout = circleArcAsCurve(arc, N)
+
+  % default value for N
+  if nargin < 2
+      N = 65;
+  end
+
+  % vector of positions
+  t0 = deg2rad(arc(4));
+  t1 = t0 + deg2rad(arc(5));
+  t = linspace(t0, t1, N)';
+
+  % compute coordinates of vertices
+  x = arc(1) + arc(3) * cos(t);
+  y = arc(2) + arc(3) * sin(t);
+
+  % format output
+  if nargout <= 1
+      varargout = {[x y]};
+  else
+      varargout = {x, y};
+  end
+
+endfunction
+