X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fgeometry-1.5.0%2Fgeom2d%2Fbisector.m;fp=octave_packages%2Fgeometry-1.5.0%2Fgeom2d%2Fbisector.m;h=f9c4136492c97a5b458b37cc77480c491f511355;hp=0000000000000000000000000000000000000000;hb=f5f7a74bd8a4900f0b797da6783be80e11a68d86;hpb=1705066eceaaea976f010f669ce8e972f3734b05 diff --git a/octave_packages/geometry-1.5.0/geom2d/bisector.m b/octave_packages/geometry-1.5.0/geom2d/bisector.m new file mode 100644 index 0000000..f9c4136 --- /dev/null +++ b/octave_packages/geometry-1.5.0/geom2d/bisector.m @@ -0,0 +1,126 @@ +%% Copyright (c) 2011, INRA +%% 2005-2011, David Legland +%% 2011 Adapted to Octave by Juan Pablo Carbajal +%% +%% 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{ray} = } bisector (@var{line1}, @var{line2}) +%% @deftypefnx {Function File} {@var{ray} = } bisector (@var{p1}, @var{p2}, @var{p3}) +%% Return the bisector of two lines, or 3 points. +%% +%% Creates the bisector of the two lines, given as [x0 y0 dx dy]. +%% +%% create the bisector of lines (@var{p2} @var{p1}) and (@var{p2} @var{p3}). +%% +%% The result has the form [x0 y0 dx dy], with [x0 y0] being the origin +%% point ans [dx dy] being the direction vector, normalized to have unit +%% norm. +%% +%% @seealso{lines2d, rays2d} +%% @end deftypefn + +function ray = bisector(varargin) + + if length(varargin)==2 + % two lines + line1 = varargin{1}; + line2 = varargin{2}; + + point = intersectLines(line1, line2); + + elseif length(varargin)==3 + % three points + p1 = varargin{1}; + p2 = varargin{2}; + p3 = varargin{3}; + + line1 = createLine(p2, p1); + line2 = createLine(p2, p3); + point = p2; + + elseif length(varargin)==1 + % three points, given in one array + var = varargin{1}; + p1 = var(1, :); + p2 = var(2, :); + p3 = var(3, :); + + line1 = createLine(p2, p1); + line2 = createLine(p2, p3); + point = p2; + end + + % compute line angles + a1 = lineAngle(line1); + a2 = lineAngle(line2); + + % compute bisector angle (angle of first line + half angle between lines) + angle = mod(a1 + mod(a2-a1+2*pi, 2*pi)/2, pi*2); + + % create the resulting ray + ray = [point cos(angle) sin(angle)]; + +endfunction + +%!shared privpath +%! privpath = [fileparts(which('geom2d_Contents')) filesep() 'private']; + +%!test +%! addpath (privpath,'-end') +%! p0 = [0 0]; +%! p1 = [10 0]; +%! p2 = [0 10]; +%! line1 = createLine(p0, p1); +%! line2 = createLine(p0, p2); +%! ray = bisector(line1, line2); +%! assertElementsAlmostEqual([0 0], ray(1,1:2)); +%! assertAlmostEqual(pi/4, lineAngle(ray)); +%! rmpath (privpath); + +%!test +%! addpath (privpath,'-end') +%! p0 = [0 0]; +%! p1 = [10 0]; +%! p2 = [0 10]; +%! ray = bisector(p1, p0, p2); +%! assertElementsAlmostEqual([0 0], ray(1,1:2)); +%! assertAlmostEqual(pi/4, lineAngle(ray)); +%! rmpath (privpath); + +%!test +%! addpath (privpath,'-end') +%! p0 = [0 0]; +%! p1 = [10 0]; +%! p2 = [0 10]; +%! ray = bisector([p1; p0; p2]); +%! assertElementsAlmostEqual([0 0], ray(1,1:2)); +%! assertAlmostEqual(pi/4, lineAngle(ray)); +%! rmpath (privpath);