Add a useful package (from Source forge) for octave

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

diff --git a/octave_packages/geometry-1.5.0/geom2d/cartesianLine.m b/octave_packages/geometry-1.5.0/geom2d/cartesianLine.m
new file mode 100644 (file)
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+++ b/octave_packages/geometry-1.5.0/geom2d/cartesianLine.m
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+%% Copyright (c) 2011, INRA
+%% 2004-2011, 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{line} = } cartesianLine (@var{A}, @var{B},@var{C})
+%% Create a straight line from cartesian equation coefficients.
+%%
+%%   Create a line verifying the Cartesian equation:
+%%   @var{A}*x + @var{B}*x + @var{C} = 0;
+%%
+%%   @seealso{lines2d, createLine}
+%% @end deftypefn
+
+function line = cartesianLine(varargin)
+
+  if length(varargin)==1
+      var = varargin{1};
+      a = var(:,1);
+      b = var(:,2);
+      c = var(:,3);
+  elseif length(varargin)==3
+      a = varargin{1};
+      b = varargin{2};
+      c = varargin{3};
+  end
+
+  % normalisation factor
+  d = a.*a + b.*b;
+
+  x0 = -a.*c./d;
+  y0 = -b.*c./d;
+  theta = atan2(-a, b);
+  dx = cos(theta);
+  dy = sin(theta);
+
+  line = [x0 y0 dx dy];
+
+endfunction
+